Answer:
The rate "20 pounds per 4 feet", doesn't belong with the other three because you get "5 pounds per foot" for the unit rate and for the other three, you get "4 pound per foot" for the unit rate.
Step-by-step explanation:
Unit rate = How much of something per 1 unit of something else
We write this as a ratio with a denominator of one
In this case, we are using "pound per foot"
1. "8 pounds for every 2 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 8\:pounds }{ 2\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
2. "12 pounds per 3 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 12\:pounds }{ 3\:feet }}[/tex]
Next, divide the numerator and denominator by 3
[tex]\mathrm{\dfrac{ 12\:pounds \div 3 }{ 3\:feet \div 3 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 4\:pounds }{ 1\:foot }}[/tex]
Unit rate = 4 pounds per foot
3. "20 pounds per 4 feet"
First, write the rate as a fraction
[tex]\mathrm{\dfrac{ 20\:pounds }{ 4\:feet }}[/tex]
Next, divide the numerator and denominator by 4
[tex]\mathrm{\dfrac{ 20\:pounds \div 4 }{ 4\:feet \div 4 }}[/tex]
Lastly, simplify and turn the denominator equal to 1
[tex]\mathrm{\dfrac{ 5\:pounds }{ 1\:foot }}[/tex]
Unit rate = 5 pounds per foot
4. "24 pounds for every 6 feet"
You can find the unit rate by dividing the first term of the ratio by the second term
[tex]\mathrm{\dfrac{ 24\:pounds }{ 6\:feet }}[/tex]
Simplify
[tex]\mathrm{4\:pounds}[/tex]
Unit rate = 4 pounds per foot
The rate that doesn't belong is "20 pounds per 4 feet"
Humans can distinguish up to 18,400,000 individual dots called pixels on a typical computer display. Can a human distinguish pixels on a same-sized HDTV with 2×10^6 pixels? Explain
Answer:
The answer is yes, because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
Step-by-step explanation:
Step 1:2⋅10⋅10⋅10⋅10⋅10⋅10 = 20⋅10⋅10⋅10⋅10⋅10 = 200⋅10⋅10⋅10⋅10 = 2,000⋅10⋅10⋅10 = 20,000⋅10⋅10 = 200,000⋅10 = 2,000,000Step 2:Because 2 × 10⁶ < 18,400,000, human can distinguish pixels on a same-sized HDTV.
What is the value of y in the equation 2 + y = −3?
I believe that y is equal to -5.
y=-5
A
B
C
D
isosceles triangle
Hello people ~
If the complement of an angle is 79°, then the angle will be of
(a) 1° (b) 11° (c) 79° (d) 101°
Hey there!
Complementary angles add up to 90 degrees.
We are given
An angle of 79 degrees
and we're asked to find the complement of the angle.
So let's set up an equation:
79+x=90
where x=the unknown angle
Subtract 79 from both sides:
79-79+x=90-79
x=11
Hence, the measure of the unknown angle is
[tex]\boxed{\boxed{\bold{11}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningIsFun
[tex]\rule{200}{2}[/tex]
(b) 11°
The sum of two angles is equal to 90 degrees.
Here, one angle is 79°
let the other angle be xsteps:
x + 79° = 90°x = 90° - 79°x = 11°30 feet is equivalent to how many inches?
Answer:
360 inches
Step-by-step explanation:
Each foot is 12 inches. The number of inches in 30 feet is found by multiplying the number of inches in 1 foot by 30.
30 × (12 inches) = 360 inches
A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 10?
A. 1/2
B. 1/26
C. 1/13
D. 1/4
Answer:
1/13
Step-by-step explanation:
Knowing that:
In a deck of card half of the deck of card are red: 1/2
Also means 52/2 = 26
There are 2 red 10 in a deck of card.
Solve:
Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.
Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.
GCD (or HCF) of 2 and 26 is 2.
Therefore, divide both by 2.
2/2 = 1
26/2 = 13
Hence, we can see that the simplify form is 1/13.
As a result, the probability of getting a red 10 is 1/13.
~lenvy~
An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?
It takes the diver 5 s to reach the water.
Quadratic equationsThese are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)
Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.
The diver reaches the top of the water when f(x) = 0.
So, equating f(x) to zero, we have
f(x) = 0
-2(x-5)(x+1) = 0
Dividing through by -2, we have
(x-5)(x+1) = 0
So, (x - 5) = 0 or (x + 1) = 0
x = 5 or x = -1
Since time cannot be negative, x = 5 s.
So, it takes the diver 5 s to reach the water.
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Best answer gets brainliest!
Answer: Best answer gets brainliest!
90+120= 210Step-by-step explanation:
Add the amount of students together!
Hopefully this helps you!
-Keira
First, let's check how many 7th grade students take the bus.
On the graph, find "7th grade"
There are 90 7th grade students taking the bus.
Same with the 8th grade:-
120 students
How many 7th & 8th grade students take the bus?
The sum of the 7th grade students & the 8th grade students is your answer.
So, add:-
[tex]\sf{90+120}[/tex]
[tex]\bigstar{\boxed{\pmb{210~students}}\longleftarrow\sf{Option~B~is~correct}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
NOCTI MATH REVIEW
all
1) if the cost of one case of fresh pineapples is $14.95 for a case of 6, and the
calculated waste factor is 15 percent, what is the actual cost of each pineapple?
Using proportions, it is found that the actual cost of each pineapple is of $2.12
What is a proportion?A proportion is a fraction of a total amount.
In this problem, considering that the waste factor is of 15%, the total price should be of:
P = 0.85 x $14.95 = $12.7075.
For a case of 6 pineapples, hence the price of each is given by:
Pp = $12.7075/6 = $2.12.
More can be learned about proportions at https://brainly.com/question/24372153
The actual cost of each pineapple with a waste factor of 15% is $12.71
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of one case of fresh pineapples is $14.95 and the calculated waste factor is 15 percent. Hence:
Actual cost = 14.95 - 15% of 14.95 = $12.71
The actual cost of each pineapple with a waste factor of 15% is $12.71
Find out more on equation at: https://brainly.com/question/2972832
Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
What is apothem?
Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .
The length of apothem (a) is given by:
[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
Find out more on apothem at: https://brainly.com/question/369332
Can someone help? Please and thankyou
What is the area of the parallelogram shown?
Answer:
16
Step-by-step explanation:
Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.
At that point you can compute the area by multiplying base and height, and the total surface is 16.
Consider a dust mite that measures 10−3 millimeters in length and a gecko that measures 10 centimeters long. How many orders of magnitude as long as the mite is the gecko?
The gecko is about 10⁵ times bigger than the mite in length.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 cm = 10 ml
The dust mite measures 10⁻³ ml. The gecko measures 10 cm
Length of gecko = 10 cm = 10 cm * 10 ml per cm = 100 ml
Magnitude of gecko to mite = 100 ml / 10⁻³ ml = 10⁵
The gecko is about 10⁵ times bigger than the mite in length.
Find out more on equation at: https://brainly.com/question/2972832
Answer:
it is 5
Step-by-step explanation:
The speed of a wave in the ocean in meters per second can be determined using the function f(x) = 3.13[tex]\sqrt{x}[/tex] ,
where x represents the depth in meters of the water under the wave.
a. Graph the function.
b. Identify the domain and range.
c. How fast are the waves in the figure moving over the water?
Answer:
See below ↓
Step-by-step explanation:
a. In the attachmentb. Domain : x ≥ 0, Range : y ≥ 0c. f(x) = 3.13√10 = 9.89 m/sa. Graph shown Below.
b.
domain is in x-axisrange is in y-axisdomain : x ≥ 0
range : f(x) ≥ 0
c.
rate of waves:
[tex]\sf f(x) = 3.13\sqrt{x}[/tex]
the wave is 10 m above the sea
[tex]\sf f(x) = 3.13\sqrt{10}[/tex]
[tex]\sf f(x) = 9.9 \ m/s[/tex]
Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side) please help
A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.
What are the side lengths of this rectangle?A rectangle must be such that one side is longer than the other side.
The area of a rectangle is found as:
= Length x Width
As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.
The factors of 12 which allow this to happen are:
= 1, 2, 3, 4, 6, 12
From here you can use 3 and 4.
Find out more on the area of a rectangle at https://brainly.com/question/2607596.
Helppp.
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.
Then find the area of the divisions.
The figure can be divided into a triangle and a rectangle.
The area of a triangle is 10 sq inches.
The area of a rectangle is 80 sq inches.
The total area of the figure is 90 sq inches.
What are the area and perimeter of a rectangle?The area of a rectangle is the product of its length and width.
The perimeter of a rectangle is the sum of the lengths of all the sides.
The figure can be divided into a triangle and a rectangle.
The height of the triangle is 2 inches and the base is 10 inches.
We know the area of a triangle is (1/2)×base×heiht.
∴ Area = (1/2)×10×2 sq inches.
Area = 10 sq inches.
We know the area of a rectangle is length×width.
∴ Area = (10×8) sq inches.
Area = 80 sq inches.
The total area of the figure is (10 + 80) sq inches = 90 sq inches.
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Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24
Answer:
w + 2.56 ≥ 10.24
Step-by-step explanation:
The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored
The percentage of cupcakes sold that day were mocha flavoured will be 57%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.The percentage will be calculated as:-
P = 171 / 300
P = 0.57
P = 0.57 x 100
P = 57%
Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.
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Triangle A′B′C′ is the image of triangle ABC after a dilation.
What is the scale factor of the dilation?
Answer:
3
Step-by-step explanation:
could the length of the first triangle to the length of the second triangle
You have a circle with a circumference of 25.12 what is the radius?
Answer:
r 4 3.99797
Step-by-step explanation:
Hey ! there
Answer:
Radius = 4Step-by-step explanation:
In this question we have given that a circle have a circumference of 25.12 . And we are asked to find the radius of the circle .
We have to solve this question with the help of circumference formula for circle that is ,
[tex] \qquad\: \quad\underline{\boxed{ \frak{{Circumference_{(Circle)} = 2\pi r}}}}[/tex]
Where ,
π refers to 3.14 or 22/7r refers to radius of circleSolution : -
For solving the question we must have to substitute value of π , radius and then we have to equate it with given circumference that is 25.12. So ,
[tex] \longmapsto \qquad \:\: 2 \times 3.14 \times r = 25.12[/tex]
Step 1 : By multiplying 2 , 3.14 and r , We get :
[tex] \longmapsto \qquad \: \:6.28r = 25.12[/tex]
Step 2 : Dividing with 6.28 on both sides :
[tex] \longmapsto \qquad \: \: \dfrac{ \cancel{6.28}r}{ \cancel{6.28}} = \cancel{\dfrac{25.12}{6.28} }[/tex]
On further calculations, We get :
[tex] \longmapsto \qquad \: \: \pink{\underline{\boxed{ \frak{r = 4}}}}[/tex]
Henceforth , radius of circle is equal to 4 .Verifying : -
Now we are verifying our answer by finding the circumference of circle and equating it with 25.12 and if it will equal to 25.12 then our answer is correct . So ,
2πr = 25.122 × 3.14 × 4 = 25.126.28 × 4 = 25.1225.12 = 25.12L.H.S = R.H.SHence, Verified.Therefore our answer is correct .
Please Note : We aren't using any unit for the values because in the question no units are provided .
#Keep LearningHelp!!!!!!! v is a vector of magnitude 4 making an angle of 30° with the positive x-axis. find v in component form .
Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
To find vector v in component form, we need to know what a vector is
What is a vector?A vector is a physical quantity that has both magnitude and direction.
Component of a vectorA vector can be resolved into perpendicular components along the x, y and z axis.
Components of vector vSince vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i
= (4cos30°)i
= (4 × √3/2)i
= 2√3i.
The y-component of v is V' = (vsin30°)j
= (4 × sin30°)j
= (4 × 1/2)j
= 2j
Vector v in component form
So, vector v in component form is v = V + V'
= 2√3i + 2j
So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j
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if 6 people share 990 grams of cookie but each leave behind 27 grams how much grams did each person eat
Answer: 276 grams.
Step-by-step explanation:
Can anyone solve this correctly?
Answer:
115.5
Step-by-step explanation:
area of the square: (20-7) x 7 = 13x7 = 91
area of triangle: 7x7 / 2 = 49/2 = 24.5
total area = 91+24.5
= 115.5 in
I'm not sure, but I'm guessing it's this.
What is the area of this quadrilateral
Answer:
C
Step-by-step explanation:
First, let's work out the two triangles:
Area of triangle: bxh/2
2 x 8/2 = 8
Because there is two triangles multiply 8 by 2 = 16
To work out the area of the central rectangle:
Area of rectangle: l x w
3 x 8 = 24
Add 16+24 = 40 square feet
Entre los números -4 y 0 cuál es menor
Answer:
el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D
A manager drew this box-and-whisker plot to represent the ages of the company's 240 employees.
Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.
How many employees are younger than 42?
Select from the drop-down menu to correctly complete the statement.
About
Choose... 24,48,60,75
employees are younger than 42.
Answer:
its 60
Step-by-step explanation:
i took the test
Answer:
60
Step-by-step explanation:
just took the test !!! got 100%
Select the three equations that are equivalent to the equation 3x−4=5.
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. x = 9
4. x - 4 = 2
5. -4 = 5 - 3x
Hey there!
Solving
3x - 4 = 5
Add 4 to both sides
3x - 4 + 4 = 5 + 4
3x = 9
x = 9/3
x = 3
Equivalent expressions are:
1. 3x = 9
2. 3x - 4 + 4 = 5 + 4
3. 4 = 5 - 3x
If you're confused about the last one
Solving
−4=5−3x
Step 1: Simplify both sides of the equation.
−4=5−3x
−4=5+−3x
−4=−3x+5
Step 2: Flip the equation.
−3x+5=−4
Step 3: Subtract 5 from both sides.
−3x+5−5=−4−5
−3x=−9
Step 4: Divide both sides by -3.
−3x/−3 = −9/−3
x=3 (Still the same answer)
Simplify 2b –7+3+4 –+3
Answer:
Hope this helps :-)
Step-by-step explanation:
I don't know which one it is, but the answer to the one in the picture is 4b+14and the answer to the one on brainly is 2b-3Answer:
4b
Step-by-step explanation:
2b+3b-b-7+4+3
4b
I hope this answered it
What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve. x = –7 and x = 1 x = –5 and x = 3 x = –3 and x = 5 x = –1 and x = 7
The solutions to the equation [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex] are 3 and -5.
What is the solution to the equation?To solve any equation is to find the solution of the given equation which satisfied the equation.
The given expression is [tex]\rm (x + 2)^{2} - 2(x + 2) - 15 = 0[/tex]
let u = (x +2)
then the equation becomes
[tex]\rm u^{2} - 2u - 15 = 0[/tex]
by factorizing, we get
(u + 3)(u - 5) = 0
u + 3 = 0, u = -3
u - 5 = 0, u = 5
Since, u = x + 2
So, x + 2 = 5, x = 3
x + 2 = -3, x = -5
Therefore, the solutions to the equation are 3 and -5.
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If 8 parts take 20 minutes to make, how many minutes does it take to make 6 parts?
Answer: 15 mins
Step-by-step explanation:
20 ÷ 8 = 2.5 (how many Mins 1 part takes)
2.5 x 6 = 15
It will take 15 minutes does it take to make 6 parts.
What is the unitary method?The unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
If 8 parts take 20 minutes to make then 1 part take x time which is equal to;
[tex]\rm x=\dfrac{20}{8}\\\\x= 2.5 \rm \ minute[/tex]
One part takes 2.5 minutes.
The minutes does it take to make 6 parts are;
[tex]= 6 \times 2.5\\\\=15[/tex]
Hence, it will take 15 minutes does it take to make 6 parts.
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what
arithmetic sequence with a_{4}=18 and a_{10}=48
Answer:
[tex]a_{n}[/tex] = 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2