The number of times which the two computers back up at the same time in twenty four hours as required is; 144.
How many times does the computers back up at the same time in 24 hours?It follows from the task content that the first computer backs up after every five minutes and the second computer backs up every two minutes.
On this note, the least common multiple of both backup times represents when the two computers back up at the same time.
Hence, since the LCM of 5 and 2 is; 10.
It follows that the two computers back up at the same time after every ten minutes.
Ultimately, the number of times for which they backup at the same time in 24 hours; since 60 minutes = 1 hour is;
= ( 24 × 60 ) / 10
= 24 × 6
= 144 times.
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What are two angles on a line called?
Answer:
supplementary angles
Step-by-step explanation:
140 + 40 = 180.
Solve the equation −14 - 1 4 (x – 26) = –200 for x.
Hello there!
Answer:
x = 39 2/7
Step-by-step explanation:
-14 - 14(x - 26) = -200
- 14 + 14 - 14(x - 26) = -200 + 14
-14(x - 26) = -186
-14(x - 26)/(-14) = -186/(-14)
x - 26 = 93/7
x - 26 + 26 = 93/7 + 26
x = 275/7
x = 39 2/7
A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?
Answer:
66
Step-by-step explanation:
22 per minute
? Per 3 minutes
22 x 3 = 66
Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).
Position = Rate x Time
Position = 22 feet/minute x 3 minutes = 66 feet
So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.
It means the whale descended for 66 feet from the surface level of the water.
Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.
Step-by-step explanation:
Solve 84=3u^2, where u is a real number.Round your answer to the nearest hundredth.
3u^2-84 = 0 then u=5.29 is the nearest hundredth
What are real numbers?The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.
This category includes all natural integers, decimals, and fractions.
In the number system, real numbers are only the fusion of rational and irrational numbers.
These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolize complex numbers. Examples of actual numbers include 23, -12, 6.99, 5/2, and so forth.
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Professor Curie is using the radioactive isotope Francium-223 in her research. This
isotope has a half-life of 22 minutes, which means that every 22 minutes the sample has
half the radioactivity it did in the previous interval. If Professor Curie has 15 grams of
Francium-223, which explicit formula describes how the isotope decays?
This formula describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved.
Step 1: Start with the formula
N(t) = 15 * (1/2)^(t/22).
Step 2: Substitute the value for N(t). For example, if you want to find the amount of Francium-223 after 44 minutes,
N(44) = 15 * (1/2)^(44/22).
Step 3: Calculate the fraction (1/2)^(44/22). This is equal to (1/2)^2, or 1/4.
Step 4: Multiply the initial amount of Francium-223 (15) by the fraction (1/4). The result is
15 * (1/4) = 3.75 grams.
The formula N(t) = 15 * (1/2)^(t/22) describes how the amount of Francium-223 (N(t)) decays over time (t). The initial amount of Francium-223 is 15 grams, and each 22 minutes the amount is halved. To calculate the amount of Francium-223 after a certain time, substitute the value for N(t). Then calculate the fraction (1/2)^(t/22) and multiply it by the initial amount of Francium-223 (15). The result is the amount of Francium-223 after the specified time. For example, after 44 minutes, the amount of Francium-223 is 15 * (1/4) = 3.75 grams.
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Can you pls help me with this
Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form of an equation: y =mx +bHere m is the slope and b is the y-intercept.
Choose any two points on the line.
(2,0) ; (0,-2)
Now, find the slope.
[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]
m = 1.
Now, y = 1x + b
The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.
0 = 1*2 + b
0 = 2 + b
-2 = b
Equation of line:
y = x - 2
Habib cut out a rectangle that ha a perimeter of 60 inche and a length of 16 inche. They cut out another rectangle that i the ame length and twice a wide
The required perimeter of the new rectangle is 66 inches.
What is a rectangle?A quadrilateral with all of its angles equal, or right angles, is a rectangle.
In addition to having all equal angles, a square also has all equal sides.
Therefore, a particular case of a square is a rectangle.
To put it another way, a rectangle can also be a square (when all sides to are equal).
Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.
To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.
So, a perimeter equals 2(l+b).
50 is the circumference and 17 is the length here.
Suppose the breadth is x.
50 = 2(17+x)
50 = (2*17)+(2*x)
50 = 34 + 2x
50 - 34 = 2x
16 = 2x
16/2 = x
8 = x
The first triangle's width is eight inches.
We know that the length of the other rectangle is 17.
And that the width is two times that of the first triangle.
Length = 17, width = 2*8 = 16, etc.
For the border:
p = 2(l+b)
p = 2(17+16)
p = (2*17)+(2*16)
p = 34+32
p = 66
Therefore, the required perimeter of the new rectangle is 66 inches.
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Complete question:
Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?
Please answer quick! The question is in a file down below.
Answer:
perimeter= 9+9π cm
area= 40.5-10.125π cm²
Step-by-step explanation:
area of the square =9x9=81cm²
area of the two semicircles which have the same diameter =area of one circle
= (9÷2)²π =(81÷4)π
area of the whole shaded part = 81- (81÷4)π cm²
the area of each shaded part= (81-(81÷4)π)÷2
= 40.5-10.125π cm²
circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm
then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm
perimeter of each shaded part = (18+18π)÷2=
9+9π cm
a Sin CA-45°) = - 言 √2 (cos A-SinA)
Answer:-√2 sin (45° - A)
Step-by-step explanation:
(Help me please)
Lin and Noah are packing small cubes into a cube with an edge length of 1½ inches. Lin is using cubes with an edge length of ½ inch, and Noah is using cubes with an edge length of ¼ inch. Who would need more cubes to fill the 1 1/2 inch cube? Show how you know
Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.
To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.
The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.
As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.
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Solve for x. each figure is a parallelogram
it's 40 points for the 4
3.) x = 15.25 or 15 1/4 ( not sure if you'll need to round your answer )
4.) x =6
5.) x = 10
6.) x = 9
Explanation:
1.) write your equation down 8x + 9 = 131
2.) Subtract +9 from 131. you'll get 122
3.) divide 8x and 122.
4.) Then there's your answer 15.25
you'll do the same thing throughout each equation. write down your equation but with the 22x and 23x you're going to subtract 22x from 23x. and you'll get 1x then continue on the same way as with the last equation.
help me pleaseeeeeeeee!!
Answer:
2nd
Step-by-step explanation:
Answer: They are not proportional.
Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.
65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Which statement is correct based on the data?
1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.
2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.
4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.
The correct statement based on the data is,
⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
Option 2 is true.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.
Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Now, By definition of ratio, we get;
The ratio of smoothie size to mangos used for Bri is,
⇒ 24 : 3
⇒ 8 : 1
And, The ratio of smoothie size to mangos used for Angela is,
⇒ 32 : 4
⇒ 8 : 1
Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.
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WILL GIVE BRIANLIST
:The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F.
What was the average temperature for the day?
Responses
−3°F
negative 3 degrees F
−1°F
negative 1 degrees F
1°F
3°
Answer:
Step by step explanation:
To find the average temperature, you take the three different temperatures you had throughout the day and divide them by how many different kinds there are. (3).
This means that the average is 1°F. This is because you have to add -3 + 12 + (-6) = 3.
Then you have to divide 3 by the amount of numbers you need to average between. In this case, you have to divide 3 by 3.
So, your final answer is:
The average temperature for the day was 1°F
8. Sarah has a cube with a volume of 2,197 cubic centime
of Sarah's cube?
volume of 2,197 cubic centimeters, which square represents the faces
15 cm
25 cm
13 cm
10 cm
The side of the cube, the faces will be 13 cm.
What is cube?
The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.
Sarah has a cube with a volume of 2,197 cubic cm.
side is ∛(2197) =13 cm
So the side of the cube will be 13 cm.
Hence, the side of the cube, the faces will be 13 cm.
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If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x
Therefore the cost of each pair of incense is 2.4 in terms of x.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Let x be the cost of one pair of incense.
We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:
(cost of apples + cost of oranges) = 12x
We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:
(3x + 2x) = 12x
5x = 12x
x = 12/5 or 2.4
So the cost of each pair of incense is 2.4 in terms of x.
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It says its wrong. I do not know how to mark you the brainliest
Answer:
A) Angle 2, Angle M
B) Angle M
C) Angle NM (or MN), Angle QM (or MQ)
Step-by-step explanation:
A) So M is the vertex of angle QMP, and the picture tells you that it's angle 2
B) M is the middle angle
C) The diagram shows you the answer
Find the value of 'x', round to 4 decimal places.
The value of x is 14.7224.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Sin 60° = x/17 ____(1)
Sin 60° = √3/2 _____(2)
From (1) and (2) we get,
√3/2 = x/17
x = 17√3/2
x = 17 x 1.73205 / 2
x = 14.7224
Thus,
The value of x is 14.7224.
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The regular polygon below is to be rotated about its center. Which angle of rotation
would carry the figure onto itself?
Answer choices:
324°
150°
225°
300°
The shape of a decagon will remain the same when it is rotated through
its angle of rotational symmetry.
How to find the rotation?
The rotation about the center will carry a regular decagon back to itself is 36°.
Note the following
The angle of rotational symmetry of a decagon is the smallest angle that a decagon can be rotated by such that the image formed by the rotation coincide with the preimage;
A decagon has 10 sides, the interior angle of a regular decagon is given as follows;
Each interior angle = (n-2)*180/10 = 144⁰
A decagon has a reflective symmetry, therefore, the lines of symmetry joining opposite vertices are straight lines.
The number of diagonals in a decagon = 5
Rotating through the vertex and opposite vertex of the diagonals gives the number of image of the rotation that is similar to the preimage of a decagon as ten.
Therefore, a rotation of (360/10) = 36⁰, about the center will carry a regular decagon back to itself.
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If the sum of n term of an ap is sn = 3n^2+5n writ its common difference
In the given arithmetic progression Common difference is 14.
what is an arithmetic progression?An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).
Given, the n term of ap is Sₙ = 3n² + 5n
Where n is the number of terms
S₁ = 3* 1 + 5*1
S₁ = 8
S₂ = 3 * 4 + 5*2
S₂ = 22
common difference = 22-8
Common difference = 14
therefore, the Common difference in the given AP is 14.
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Nick is driving from Brookville to Kansas City, a distance of more than 325 miles, to watch the Bengals play the Chiefs in the playoffs. After driving 75 miles, Nick stops for gas. Write and solve an nequality to determine how much farther Nick has to drive to reach Kansas City.
The distance that Nick has to drive to reach Kansas will be at least 250 miles.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Since Nick is driving from Brookville to Kansas City, a distance of more than 325 miles and after driving 75 miles, Nick stops for gas.
An inequality to determine how much farther Nick has to drive to reach Kansas City will be:
x > 325 -75
x > 250
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The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear.
Time (min), x Distance (m), y
5 1,930
10 1,380
15 830
20 280
The equation of the function in the form y=mx+b is y = 110x-2020
Adaptation of function speed
A line's equation is written as mx + b = y, where m denotes the rate of change or slope.
The intercept is B.
utilizing the coordinates
Calculate the slope.
m = 550/5
m = 110
The intercept for
280 + 110(20) + b
280 = 2200 + b
b = 180 - 2200
b = -2020
The equation for the function of the type y=mx+b is hence y = 110x-2020.
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The complete question would be:
The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b
is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by
The scale factor of segment AB was 1.94.
What is scale factor?Scale factor is a number by which a given set of measurements is multiplied in order to increase or decrease the size of the measurements. It can be used to enlarge or reduce the size of an object, image, or diagram. It is a useful tool in many areas of mathematics, including geometry, engineering, and computer graphics.
The scale factor for segment AB can be found by taking the ratio of the lengths of the two segments. To calculate this, use the distance formula to find the length of segment AB and A'B' and set them equal to each other.
The distance formula is: d = √[(x2-x1)^2 + (y2-y1)^2]
The coordinates of A and B are (0, 0) and (6, 9), respectively. The coordinates of A' and B' are (0, 6) and (6, 9), respectively.
For segment AB, the distance formula becomes: d = √[(6-0)^2 + (9-0)^2], which simplifies to d = √[36 + 81], which simplifies to d = √117.
For segment A'B', the distance formula becomes: d = √[(6-0)^2 + (9-6)^2], which simplifies to d = √[36 + 9], which simplifies to d = √45.
The scale factor is then found by taking the ratio of the two distances, √117/√45, which simplifies to √117/3, or approximately 1.94. Therefore, the scale factor of segment AB was 1.94.
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A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.
Which of these could you represent with a ratio?
The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
The ratio of cows to pigs on a farm could be 1 to 3
So , the proportion is 1 : 3
Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9
So , the proportion is 5 : 9
Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion
Hence , the proportion is number of diet sodas to number of regular sodas
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Thomas wants to buy a new baseball bat. The one he likes costs $130, but it is on sale for $104. What is the percent of the discount Tomas will get if he buys the bat
On solving the provided question we can say that the percentage discount will be equal to 20%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Tomas wants to buy a new baseball bat. T
he one he likes costs $130, but it is on sale for $104.
The discount percentage will be calculated as:-
( $130 - $104) = $26
( 26 / 130) x 100 = ( 2600 / 130 ) = 20%
the discount will be equal to 20%.
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If the sum of two consecutive numbers is 23, find them.
The first number is 11 and second number is 12.We can find by solving two consective numbers.
What are Consecutive Numbers in Math?Consecutive numbers are numbers that follow each other in order from the smallest number to the largest number. The difference between consecutive numbers is always fixed and it follows a pattern. For example 1, 2, 3 are the first three consecutive natural numbers.
What is the sum of consecutive?An odd number of consecutive numbers has a whole number as an average. This average is always the middle number. So that means that the sum of the numbers will be Sum = average \times number of consecutive numbers.
Now we find
Let x be a first number and x+1 be a second number.So
x+x+1=23
2x+1=23
2x =23-1
2x =22
x = 11
x+1= 11+1=12
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.You have an "equality sign" that connects 1kg of NaCl to 27 ml of a solvent, how many ml are associated with 9100 grams?
Two tiny parallel horizontal lines serve as the "equality sign" connecting 1 kilogramme of NaCl to 27 ml of a solvent.
What does ≡ mean in math?is a synonym for exactly. This is comparable to equals but not quite the same. To avoid confusion, always use the symbol =, which stands for about equal to or virtually equal to. This symbol indicates two sides of a connection that are not precise enough to be mathematically manipulated.≅ (mathematics) equivalent to around. quotes (geometry) similar to. The computer science term "it is defined as" is denoted by the meta symbol::=, which is not a mathematical expression , everywhere.x ≔ y or x ≡ y indicates that x is understood to be another name for y (however it should be noted that can also denote other things, such as congruence). P :⇔ Q denotes the logical equivalence of P to Q. Congruent or, more generally, an arbitrary equivalence relation is denoted in some circumstances by the triple bar or equal sign with three lines.To learn more about equality sign refer to :
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Select all the inequalities that have the same graph as x<4
The inequalities that have the same graph as x<4 are:
x+6 < 105x < 20 x-2 > 2Hence, option(B) , (C) and (D) are correct.
What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
x +6 < 10 ⇒ x < 10-6 ⇒ x < 4
5x < 20 ⇒ x< 20/5 ⇒ x < 4.
x-2 > 2 ⇒ x < 2 + 2 ⇒ x < 4.
Hence, option(B) , (C) and (D) are correct.
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Your question is incomplete but most probably the question was:
Select all the inequalities that have the same graph as x <4.
A. x < 2.
B. x+6 < 10
C. 5x < 20
D. x-2 > 2
E. x <8
How did you compute sums ofdollar amounts that were not whole numbers? For example, how did you compute the sum of$5. 89 and$1. 45? Use this example to explain your strategy.
How did you compute products ofdollar amounts that were not whole numbers? For example, how did you compute the cost of4 pounds of beef at $5. 89 per pound? Use this example to explain your strategy
To compute the sum of dollar amounts that are not whole numbers and to compute products of dollar amounts that are not whole numbers you can use the standard arithmetic operation and place decimal point correctly.
To compute the sum of dollar amounts that are not whole numbers, such as $5.89 and $1.45, you can use the standard arithmetic operations of addition, just like you would with whole numbers.
$5.89 + $1.45 = $7.34
When adding or subtracting decimal numbers, you align the decimal points and perform the operation column by column, just like you would with whole numbers.
To compute products of dollar amounts that are not whole numbers, such as 4 pounds of beef at $5.89 per pound, you can use the standard arithmetic operation of multiplication.
4 × $5.89 = $23.56
When multiplying decimal numbers, you multiply as you would with whole numbers and place the decimal point in the product to the right of the last digit in the product that corresponds to the number of decimal places in the original factors.
In both examples, it is important to pay attention to the placement of the decimal point and to use proper arithmetic operations. In general, it is important to consider the decimal places when working with decimal numbers and ensure that the final result is rounded to the appropriate number of decimal places, if necessary.
To know more on arithmetic operations on decimal numbers
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1. |2x + z| + 2y
a = –2, b = –3, c = 2, x = 2.1, y = 3, and z = –4.2.
2. 4a – |3b + 2c|
Answer:
6 and -13
Step-by-step explanation:
Absolute ValueAbsolute Values are magnitudes (only positive values) of any values (be it positive or negative.)
Example: |4.5| = 4.5, |-6.7| = 6.7
Solution1. |2x + z| + 2y
= |2(2.1) + (-4.2)| + 2(3)
= |4.2 - 4.2| + 6
= 0 + 6
= 6
2. 4a - |3b + 2c|
= 4(-2) - |3(-3) + 2(2)|
= -8 - |-9 + 4|
= -8 - |-5|
= -8 - 5
= -13