Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
How many 1/12s must you add to get 1/12
Answer:
Step-by-step explanation:
One 1/12 is equal to 1/12, so you do not need to add any other fractions of 1/12 to get 1/12.
1/12 + 0 = 1/12
You can think of it in another way, if you want to add a certain number of fractions to obtain 1, you just need to add 12 of 1/12s to get 1, not one.
y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 16 when x = 27. Find the value of y when
x = 18.
y = 3.2 when x = 30. Find the value of x when
y = 8.
The equation of variation is xy = 96. The value of y when x = 18 is 16/3 and the value of x when y = 8 is 12.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 16, x = 6.
k = 6 × 16 = 96
So, the equation of variation is xy = 96.
When x = 18,
18y = 96
⇒ y = 96/18
⇒ y = 16/3
When y = 3.2,
3.2(30) = 96
When y = 8
8x = 96
⇒ x = 12
Therefore, the values are y = 16/3 and x = 12.
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HELP! Does the system shown always, sometimes, or never have a solution when a = b? a ≥ b? a ≤ b?
Answer: ok ok... If this is like pick one ima go for A. = b
Step-by-step explanation: i hope this helps<3
Is A ={ x x 2 )= 4 and 3x 9 an empty set justify your answer?
The value of 'x' is not same in both cases, so this is a empty set.
How to calculate A={x x 2}=4 and 3*9 an empty set?step1
Because here square of element of set should be 4 then element should be 2 or -2 but when 2 or -2 multiplied by 3 gives 6 or - 6 which is not equal to 9. So, no element exists which can satisfy both conditions.
A={x x 2}=4 and 3x=9 is not empty set because there is no element we can say that is an empty set but there is an element, so it is not an empty set.
step2
X^2=4
Therefore only 2's square is 4
In first equation X=2
But in second equation
3x=9
Therefore here X=3
One variable has only one value
Therefore it is an empty set
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The area of the South China Sea i 6. 963 × 106 km2. The area of the Artic Ocean i 1. 4056 × 107 km2. Find the total area. Write the final anwer in cientific notation with the correct number of ignificant digit
So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2
To find the total area of the South China Sea and the Arctic Ocean, you would add their individual areas together.
The formula for finding the total area is:
Total Area = Area of South China Sea + Area of Arctic Ocean
By applying this formula we get:
Total Area = 6.963 × 106 km2 + 1.4056 × 107 km2
Total Area = 2.10286 x 107 km2
So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2. The final answer is correct and has correct number of significant digits as per the given figures.
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Find the equation of the line
The equation of the line is y = -3x + 16
What is the equation of a line?The general equation of a line is expressed as;
y = mx + c
Given that;
y is a point on the y-axism is the slope of the linex is a point on the x -axisc is the intercept of the line on the y-axisFrom the diagram shown, the coordinates of the line is expressed as;
(3, 7) and (2.5, 3)
The intercept. c = -3
Substitute the values
7 = -3(3) + c
expand the bracket
7 = -9 + c
collect like terms
c = 7 + 9
c = 16
The equation of the line is then given as;
y = -3x + 16
Hence, the equation is y = -3x + 16
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y -1/4 x = -1
y - 2 = 4x
A no solution
B infinite solutions
C one solution
Answer:
x=-4/5, y=-6/5. (-4/5, -6/5).
Step-by-step explanation:
y-1/4x=-1
y-2=4x
--------------
y=4x+2
4x+2-1/4x=-1
4x-1/4x=-1-2
16/4x-1/4x=-3
15/4x=-3
x=-3/(15/4)
x=(-3/1)(4/15)
x=-12/15=-4/5
y-2=4(-4/5)
y-2=-16/5
y=-16/5+2
y=-16/5+10/5
y=-6/5
How would you graph y =- 1 2x 2?
Your response should be the first point on your graph because x = 0 on the y-axis.
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.
that a line's equation is y = mx + b, where m is its slope and b is its y-intercept. Your initial point should be at -2 on the y-axis to start. Go up 1 and over 2 for your next point because your slope is 1/2 (rise/run). Continue along like this, and your points will become clear.
The x values you have can also be plugged in to determine your y-values. Your first point is that y = 1/2(2) - 2 = 1 - 2 = -1. (2,-1). This ought should appear on your graph as well.
Your response should be the first point on your graph because x = 0 on the y-axis.
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a farmer planted 320 acres of one variety of wheat and one160 acres of a second variety. He also planted 40 acres of milo, and he has 440 acres that will lie fallow (not be planted) this year. What percent of his land di he plant in wheat? Round to the nearest percent
Percent of land planted with wheat is 50% of total land.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
a farmer planted
320 acres of one variety of wheat
160 acres of a second variety of wheat.
He also planted 40 acres of milo,
and he has 440 acres that will lie fallow
Total land farmer has = 320 + 160 + 40 + 440 = 960 acres
Land planted with wheat = 320 + 160 = 480 acres
Percentage of land with wheat
= (land planted with wheat/ total land)× 100
= 480/960 × 100
= 0.5 × 100
= 50%
Hence, 50% of total land is planted with wheat.
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Mason spent $50 on school supplies. after buying 12 erasers for $17.88, he had $32.12 left over. How much did each eraser cost? Please help I need my grades up!
Answer:
$1.49
Step-by-step explanation:
17.88/12 = 1.49
Answer:
each eraser cost $1.49
Step-by-step explanation:
take how much it cost 17.88
divide by how much you have 12
get how much one unit or 1 of what you have
17.88/12=1.49
Can 7 cm 8 cm 11 cm form a triangle?
No, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side for a triangle to be formed.
In order to determine whether 7 cm, 8 cm, and 11 cm can form a triangle, we must first consider the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side in order for a triangle to be formed. Therefore, in order for 7 cm, 8 cm, and 11 cm to form a triangle, the sum of any two sides must be greater than 11 cm. Since
7 cm + 8 cm = 15 cm,
which is less than 11 cm, 7 cm, 8 cm, and 11 cm cannot form a triangle.
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solve the compound inequality n+2≤−5 and n+6≥−6
Answer:
-12<=n<=-7
Step-by-step explanation:
Use the Distributive Property to expand 6(-4x + 3y)
Answer: -24x+18y
Step-by-step explanation:
6(-4x+3y)
=6*(-4x)+6*(3y)
=-24x+18y
Answer:
6(-4x + 3y)
Step-by-step explanation:
-24x + 18y
6(-4x + 3y)
What is the table of 13 to 15?
Therefore , the solution of the given problem of table comes out to be 15 to 20 table are given as follows : 14,28,42,56,70,84,98,112,126 and 140
Describe a table.A statistical list is a collection of numbers that shows the outcomes of a computation with numerous inputs. Data is made up of descriptions and numbers and is arranged in rows and columns. The table and indeed the pattern of 10 are easily recalled. In numerical order, the numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, then 20. Value mapping is used to show how multiple data pieces are related to one another. Any science class can benefit from including the values table.
Here,
Given :
=> 13,26,39,52,65,78,91,104,117 and 130
=> 14,28,42,56,70,84,98,112,126 and 140
=> 15,30,45,60,75,90,105,120,135 and 150
Therefore , the solution of the given problem of tables comes out to be 13 to 15 table are given as follows : 14,28,42,56,70,84,98,112,126 and 140
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Please help me answer this question.
Verify the identity for trigonometric function attached. Thanks
Step-by-step explanation:
[tex] \frac{ \cot(x) - 1 }{ \cot(x) + 1} \\ \cot(x) = \frac{1}{ \tan(x) } \\ (\frac{1}{ \tan(x) } - 1) \div ( \frac{1}{ \tan(x) + 1} ) \\ multiply \: though \: by \: \tan(x) \\ \tan(x) \times ( \frac{1}{ \tan(x) } - 1 ) \div \tan(x) \times ( \frac{1}{ \tan(x) } + 1) \\ = 1 - \tan(x) \div 1 + \tan(x) \\ \frac{ \cot(x) - 1}{ \cot(x) + 1 } = \frac{1 - \tan(x) }{1 + \tan(x) } [/tex]
A mirror is placed 35 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall.
45 ft
38 ft
28 ft
24 ft
Answer:
Step-by-step explanation:
The answer is 28 ft
Does standard form have to be between 1 and 10?
No, standard form does not have to be between 1 and 10. Standard form refers to a way of writing a number in which the number is expressed as a decimal between 1 and 10, multiplied by a power of 10.
THE STANDARD FORMStandard form, also known as scientific notation, is a way of writing a number that is a product of a decimal between 1 and 10, and a power of 10. The decimal part is called the coefficient, and the power of 10 is called the exponent.
For example, 12,000 can be written in standard form as 1.2 x 10⁴. Here, the coefficient is 1.2 (a decimal between 1 and 10) and the exponent is 4, indicating that the number is being multiplied by 10 raised to the power of 4 (10,000).
It is important to note that standard form is not limited to positive numbers and decimals between 1 and 10. A negative number or decimal less than 1 can also be written in standard form, but it would be multiplied by a power of 10 that is less than 1.
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How do you say table of 4?
A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.
what is sequence ?In mathematics, a sequence is a list of items that is in a particular order (or events). It has members and is comparable to a set (also called elements, or terms). The amount of ordered elements determines how long the sequence is (potentially infinite). The four basic types of sequences that you should be knowledgeable about are arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. A number sequence is a collection of integers connected by a pattern. If you understand the rule, you can determine the subsequent numbers in the sequence. In this case, there is a 6 difference between each number. As a result, the rule for this sequence is to add 6 each time.
given
A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.
There are four black animals in total in the Cats and Dogs Table (2 + 2 = 4). The numbers in the row directly to the right of the term "Black" are those, as you can see.
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Are triangles ABC and XYZ similar?
Therefore ,as a result, ABC is equivalent with XYZ, which is the answer to the triangle problem that was presented.
Tell us about the triangle.Given its three sides and three vertices, a triangular is a polygon. This geometric shape is fundamental. Triangle ABC is a triangle that has the points A, B, and C as its corners. In geometric shapes, when four pieces are not collinear, a single plane and triangle are obtained. Polygons include triangles since they have three sides and a top right corner.
Here.
Therefore,
∠ A = ∠X because ABC is identical with XYZ.
∠B and ∠Y have the same meaning.
∠Z equals ∠C, and
Line ab has the same value as xy.
Line bc and yz are interchangeable.
Line ac corresponds to xz.
Cpct was employed to find a solution.
Triangle segments that are congruent are matched.
As a result, ABC is symmetrical with XYZ is the answer to the presented triangle problem.
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Complete question is: Are triangles ABC and XYZ similar?
What is the additive inverse of _2 9?
The additive inverse of 2 9 is -2 9. This means that if you add -2 9 to 2 9, the result will be zero. This is because any number plus its opposite will equal zero.
2 9 + (-2 9) = 0
20 + (-20) = 0
The additive inverse of a number is the opposite of that number. This means that the inverse of 2 9 would be -2 9. When you add a number and its inverse together, the result is always zero. This is because any number plus its opposite will equal zero. For example, if we take 2 9 and add it to its inverse -2 9, the result will be 0. This is because 20 + (-20) = 0. The same concept can be applied to other numbers as well. For instance, if we take 3 4 and add it to its inverse -3 4, the result will be 0 because 34 + (-34) = 0. This shows that the additive inverse of a number is the opposite of that number, and when a number and its inverse are added together, the result is always zero.
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Leo designs a banner for class elections. His banner has 3 congruent circles glued on a rectangular length of butcher paper. The circles touch the edges of the paper and do not overlap. VOTE FOR LEO! If the butcher paper is 24 inches long, what is the area of one circle? Use 3 for pi
Im having issues with this question does anyone know this question STEP BY STEP
The area of one circle is 48 in² if the butcher paper is 24 inches long.
What is area?
The area of a two-dimensional figure is the total area it takes up. It is the quantity, in other words, that counts the number of unit squares that cover the surface of a closed figure.
Square units—commonly expressed as square inches, square feet, etc.—are the accepted unit of area.
Given that:
3 congruent circles are perfectly fitted in the rectangular banner of length 24 inches,
⇒ diameter of each circle = length of rectangular banner/3
⇒ d = 24/3
⇒ d = 8
⇒ r = 8/2
⇒ r = 4
Area of circle, A = π r²
A = 3× 4 × 4 (used pi as 3 as instructed in the question)
A = 48 in²
Thus, the area of one circle is 48 in² if the butcher paper is 24 inches long.
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Best Buy is selling a 62" TV for $1,250. The TV is on sale for 15% off and there is a 6% sales tax. What is the final cost of the TV? Please help me I don't know how to do it
Answer:
final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56
Step-by-step explanation:
final cost of 42" TV after deducting 15% discount and adding 6.5% sales tax will be $1163.56
The final cost of the TV would be $1,063.50.
To calculate this:
First, calculate the discount by multiplying the original price of the TV ($1,250) by 15% (0.15). This equals $187.50.
Subtract the discount from the original price of the TV ($1,250 - $187.50 = $1,062.50)
Next, calculate the sales tax by multiplying the price after the discount ($1,062.50) by 6% (0.06). This equals $63.75
Finally, add the sales tax to the price after the discount ($1,062.50 + $63.75 = $1,063.50)
What value is equivalent to (8+2)2 + (6 − 4) × 3?
A.106
B.110
C.6
D.94
E.18
Answer:
A. 106
Step-by-step explanation:
Use the correct order of operations.
(8 + 2)² + (6 − 4) × 3 =
= 10² + 2 × 3
= 100 + 6
= 106
Tell whether the pairing is a function.
The relationship in this problem is a function, as each input is mapped to a single output.
When does a relation represents a function?A relation represents a function when each input value is mapped to a single output value.
From the table, we have that:
The input 1 is mapped to the output 20.The input 2 is mapped to the output 21.The input 3 is mapped to the output 21.The input 4 is mapped to the output 22.Each input is mapped to a single output, hence the table represents a function.
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I have no idea about this.
Can anyone suggest any approach?
Answer:
Step-by-step explanation:
translate
I have a tape diagram it is, there is 1 bus for every 32 students on a field trip. there are 96 students on a field trip how many buses are needed?
Answer: 3
Step-by-step explanation:
32 x 3 = 96
if theta is an angle in standard position and it’s terminal side passes through the point (21, -20), find the exact value of cot theta in simplest radical form
For the given data, ∅ is the given angle in standard position, terminal side passes through (21, -20) then the exact value of cot ∅= ( - √41/ 20 ) in simplest radical form.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
For the given angle ∅ (theta) in standard position:
Terminal side of ∅ is passes through the point ( 21, -20 )
( 21, -20) represents ∅ is in the second quadrant.
In second quadrant sine in positive and cosine is negative.
Base is negative and altitude is positive.
Base = 21
Altitude = -20
Using Pythagoras theorem,
Hypotenuse² = (21)² + (-20)²
⇒ Hypotenuse = √41
Cot ∅ = - √41/20 ( simplest radical form )
Then the exact value of
Cot ∅ = ( - √41/ 20 ) in simplest radical form.
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what is the exact length of third side
Answer:
Step-by-step explanation:
The sum of the squares of the shorter sides is equal to the square of hypotenuse!
Help quick!
The figure is not drawn to scale.
Answer:
<f = 132°
Step-by-step explanation:
360 - 56 - 106 = f + g
f = 2g
198 = 3g
g = 66
f = 2g
f = 2(66)
f = 132
Find the measures of an exterior angle and an interior angle given a regular polygon with 14 sides. Round to the nearest tenth, if necessary.
Answer:
The sum of the exterior angles is 360. 360/14 = 25.7 would be the measure of one exterior angle.
The sum of the interior angles is 1260. 1260/14 = 154.3 would be the measure of on interior angle.
Step-by-step explanation:
(n-2)180
n is the number of sides
(14-2)180
12(180) 1260
This is the sum of the interior angles of the polygon.
1260/14 = 154.3 Is the measure of one angle.