A baker used the equation y = kx to find how many cupcakes he needs to fill 22 identical boxes. He found that he would need 176 cupcakes. How many cupcakes fit into each box?

Answers

Answer 1

8 cupcakes. 176/22 = 8.

Related Questions

16 = X + 32
............................

Answers

Hey there!

[tex]\boxed{ 16-(x+32)=0 } \\ \\ ( -16 - x = -1 *( (x + 16) \\ \\ \boxed{\boxed{-x-16 = 0 }} \\ \\ add \ 16 \ from \ both \ sides \\ \\ (-1) : x = (-16).[/tex]

I hope this helps you! :)

Write $875.48 in word form

Answers

$875.48
=
Eight-hundred and seventy-five dollars and forty-eight cents

eight hundred seventy five with fourty eight cents

Suppose that x=6 and y=8. If y is inversely related to x, what is y when x=3?
A)4
B)5
C)16
D)18

Answers

[tex]\bf \qquad \qquad \textit{inverse proportional variation}\\\\ \textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} x=6\\ y=8 \end{cases}\implies 8=\cfrac{k}{6}\implies 48=k \\\\\\ therefore\qquad \boxed{y=\cfrac{48}{x}} \\\\\\ \textit{when x = 3, what is \underline{y}?}\qquad y=\cfrac{48}{3}[/tex]

The value of y when x=3 is 16.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

we have x=6 and y= 8.

If y is inversely related to x

y α 1/x

y= k/x

where is constant of proportionality

k = yx

k = 8(6)

k =48

So, y= k/x

y = 48/ 3

y= 16

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HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPLAIN.

Answers

As you know, 4.78 is less than 5, so
.. yes, x=4.78 is a solution to x < 5

As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.

Give 4 equations that uses at least 2 different operations. (PEMDAS) The answer has to be
- 23
- 25
- 27
and
- 28
REMEMBER: 4 equations, one for each answer
Please help

Answers

(7*4)=x28
(5+5)+15=x25
(7*3)+2=x23
(9*3)=x27

A company that sells prefabricated homes ships the frames for each home in large shipping containers. Each shipping container is in the shape of a rectangular prism and its volume can be represented by the polynomial expression 5x3 + 7.5x2, where x is the width of the shipping container.
If the length of the shipping container is five times the width, write the expression that represents the height of the shipping container in terms of its width, x.

Answers

Let
x--------------> is the width of the shipping container
h-------------> is the height of the shipping container
l--------------> is the length of the shipping container
V------------> volume rectangular prism containers

we know that
V=x*h*l
l=5*x
and
V=5x³ + 7.5x²
then
clearing the variable h

h=V/[x*l]---------> h=[5x³ + 7.5x²]/[x*(5*x)]--------> h=[5x³ + 7.5x²]/[5*x²)]
h=(x²/x²)*[5x + 7.5]/[5]--------> h=(5x/5)+(7.5/5)------> h=x+1.5

the answer is h=(x+1.5)

Answer:

h = x + 1.5

Step-by-step explanation:

Start with the width. The width = x

The length is 5 times the width = 5*x or 5x

The volume of this is

Two things V = 5x^3 + 7.5x^2V = l * w * h Substitute the length and width into the raw formula

5x^3 + 7.5x^2 = 5x * x * h

5x^3 + 7.5x^2 = 5x^2 * h Divide both sides by 5x^2

5x^3 / 5x^2 + 7.5x^2 / 5x^2 = 5x^2*h/ 5x^2

x + 1.5 = h <<<< Answer

Which comparison is correct for the values of f(x) and g(x) when x=−1 ?

Function A: f(x)= −x^2+1

Function B:

f(−1)>g(−1)

f(−1)=g(−1)

f(−1)

Answers

Answer:

[tex]f(-1)>g(-1)[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=-x^2+1[/tex]

We can plug x=-1 and find f(x)

we get

[tex]f(-1)=-(-1)^2+1[/tex]

[tex]f(-1)=-1+1[/tex]

[tex]f(-1)=0[/tex]

now, we can find g(-1)

we can look at the table and find g(-1)

so, we get

[tex]g(-1)=-4[/tex]

we know that

-4 is less than 0

so,

[tex]g(-1)<f(-1)[/tex]

or we get

[tex]f(-1)>g(-1)[/tex]

What is the product of 2x-1 and 2x+6? Write your answer in standard form.
Show your work.
Is the product of 2x-1 and 2x+6 equal to the product of 1x-2 and 6+2x? Explain your answer.

Answers

[tex](2x-1)(2x+6) = 4x^2-2x+12x-6 = 4x^2+10x-6. [/tex] It does not equal [tex](x-2)(2x+6) because when the constant is expanded, it isn't the same as the original quadratic.

John invested $575 in stocks. If he lost d dollars when he sold the stocks, which expression represents the amount of money he received for his stocks?

Answers

let:
y: the amount of money I received for his stocks
d: lost dollars.
The expression that best suits the problem is:
y = 575-d
Where:
y <575
Answer:
An expression that represents the amount of money I received for his stocks is:
y = 575-d

Answer: 575-d

Step-by-step explanation:

13. The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.

Answers

27 divided by 3.14 then that divided by 2, then the square root of that answer, is that made any sense

helppppppppppppppppppppppppp

Answers

The answer is C , 10/m5

(5m ^ -2) * (2m ^ -3)
Remember that by power properties we have:
(5 (1 / m ^ 2)) * (2 (1 / m ^ 3))
Rewriting the equation:
((5) * (2)) * (1 / m ^ 2) * (1 / m ^ 3)
Then, again for power properties:
10 / m ^ 5
answer:
10 / m ^ 5
option 3

EXPERTS/ACE/TRUSTED HELPERS

Answers

Since the image has the same orientation as the original, it was not rotated or reflected. The only viable (and correct) choice is
.. D translation 4 units up.

_____
We really don't need to see your keyboard. It is appropriate to use a screen shot program or edit your picture, or both.

Find the volume of the prism. 192 cu. ft. 64√(13) cu. ft. 96 cu. ft.

Answers

The answer is 96 cu. ft

Given is a Right Triangular Prism whose height is 8 feet, and whose base is a right triangle with legs 4 feet and 6 feet.

To find the volume of the prism, we must find the area of its base. Its base is in shape of right triangle. We know the formula for area of Right triangle is given as follows :-

[tex] Area = \frac{1}{2} bh \\\\
Area = \frac{1}{2} *4*6 \\\\
Area = \frac{24}{2} \\\\
Area = 12 \;\;feet^{2} [/tex]

So Prism's base area, B = 12 squared feet.

and Prism's height, H = 8 feet.

We know the formula for volume of Prism is given as follows :-

Volume of Prism = (Base Area) x (Height of Prism)

Volume = B x H

Volume = 12 feet² x 8 feet

Volume = 96 feet³

Hence, option C is correct i.e. 96 cubic feet.

According to these three facts, which statements are true?

Circle W has center (−3, 0) and radius 8.
Circle V is a translation of circle W, 2 units down.
Circle V is a dilation of circle W with a scale factor of 2.

Select each correct answer.

The radius of circle V is 16.

The center of circle V is (−5, 0).

Circle V and circle W are similar.

Circle V and circle W have the same center.

Answers

Answer: The radius of circle V is 16. Circle V and circle W are similar.

First, V is a dilation of circle W with a scale factor of 2. That means the radius of W gets multiplied by 2 to transform into V. Therefore, it changes from 8 to 16.

Second, all circles are similar because they are all the same shape, just different sizes.

Answer:

I am in K12 the answer is below

The radius of circle V is 16.

Circle V and circle W are similar.

Step-by-step explanation:

Choose the graph of y > x2 − 9.

Answers

The first graph is the answer.

Answer with explanation:

The given inequality which represents parabola:

y> x²-9

Checking whether, (0,0) origin satisfies this inequality or not

0 > 0²-9

0> -9

Inequality is true.

So, origin will come under the shaded region.

Points on the boundary are not included.

1.) Keeping in mind that a function's rate of change is a measure of how fast the function is increasing or decreasing, what does the slope of a linear function indicate?

Answers

"Slope" is the "function's rate of change", so it indicates "how fast the function is increasing or decreasing."

slope slope shows the speed of increase or decrease

What is the product of 7√20 and 10√6 ?

Answers

[tex]\bf 7\sqrt{20}\cdot 10\sqrt{6}\implies (7)(10)\sqrt{(20)(6)}\implies 70\sqrt{120} \\\\\\ 70\sqrt{4\cdot 30}\implies 70\sqrt{2^2\cdot 30}\implies 140\sqrt{30}[/tex]

Lucinda wants to build a square sandbox but has no way of measuring angles. Explain how she can make sure that the samdbox is meansuring only length..

A) Arrange four equal-length sides so the diagonals bisect each other.

B) Arrange four-length sides so the diagonalsare equal in length

C) Make each diagonal the same length as four-length sides

D) This is not possible, Luninda has to be able to measure a right angle.

Answers

Option B. Arrange four-length sides so the diagonals are equal in length. Since a square is a rectangle with four equal sides the diagonals should bisect each other at each length and at 90 degrees to each other. This is really important. If the diagonals are equal in length and bisect each other at equal distance then the sandbox is measuring length and has equal angles which is a square by definition

The graph of y = 1/2x^2 will be more narrow than the graph of the parent function, y = x²
true or false

Answers

using a graph tool
see the attached figure

the graph y = 1/2x^2 will be more wider than the graph of y = x²
because for the same value of x the value of y is smaller

therefore
the answer is false

A car costs 25,750 and depreciates in value by 20% per year. How much will the car be worth after five. And please explain

Answers

if the car costs $25,750 and is decreases its value by 20% each year you would multiply $25,750 by .2 and you would get $5,150. So $5,150 would be the dollar amount it would decrease by each year. The problem asks how much the car would be worth after 4 years so you multiply $5,150 by 4 and get $20,600. With that amount you just got, you subtract it from the original price.
$25,750 - $20,600
Your answer would be that the car will be worth $5,150 in 4 years.
Hope this helps

Final answer:

The problem describes a case of exponential decay. The car's value decreases by 20% each year, so after 5 years of depreciation, the value of the car can be calculated by repeatedly applying this 20% reduction each year. The car will be worth approximately $8,437.76 after 5 years of depreciation.

Explanation:

The problem is a very typical example of exponential decay. The car depreciates in value by 20% each year. This means that after each year, the car is worth 80% (or 0.8) of its value from the previous year. After five years, we can calculate how much the car is worth by simply applying these percentages to the car's initial cost.

To calculate the value of the car after 5 years, you multiply the initial cost of the car by 0.8 (representing the 80% remaining value after depreciation) five times:

After the first year: $25,750 * 0.8 = $20,600After the second year: $20,600 * 0.8 = $16,480After the third year: $16,480 * 0.8 = $13,184After the fourth year: $13,184 * 0.8 = $10,547.20After the fifth year: $10,547.20 * 0.8 = $8,437.76

So after 5 years, the car will be worth approximately $8,437.76.

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HELP PLEASE WILL GIVE BRAINLIEST ANSWER 5 QUESTIONS 48 POINTS!

Answers

1). 8/15
2). 4/12
3). equally likely
4). A
5). D

1). 8/15

2). 1/3

3). B. equally likely

4). A

5). D

Your Turn: Using the figure, a
c
= d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answers

We are given:
[tex]\frac{a}{c} = \frac{d}{a} [/tex]

First step is to get rid of fractions. We start by multiplying both sides by a.
[tex]\frac{a}{c} = \frac{d}{a} /*a \\ [/tex]

Now we cancel a on right side and we multiply both sides by c.
[tex]\frac{ a^{2}}{c} = \frac{da}{a} /*c \\ \frac{ a^{2}c}{c} = dc[/tex]

After canceling c on the right side we are left with:
[tex]a^{2} = dc or a^{2} = cd[/tex]

Find the area of the parallelogram with vertices a(1,2,3), b(1,3,6), c(3,8,6), and d(3,7,3,)

Answers

The answer is: A=√265.

Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.

Answers

Strictly speaking, it is not a reflection, If it were, then the arrow in one of the quadrants would be turned around. The arrowhead of one would be facing down, while the arrowhead of the other would be facing up.

Nora says that the shapes shown below are translations of each other. Nora is correct because the image has just moved to a different set of (x, y)s, while its shape maintained the same directionality of its positioning (the parts of the arrow).

Judy is incorrect in calling it a glide-reflection; such requires a movement (translation), followed by a flip (reflection) across either the x- or y-axis.

Considering that the point and base of the "arrow" image has not changed or flipped in the movement, no reflection had occurred.

Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles. The top angle on the sails are marked congruent to each other. The smaller sail has a height of x and a base of 7 inches. The larger sail has a height of 12 inches and a base of 8 inches.

Answers

The answer should be 10.5

The smaller sail has a height of 10.5 inches.

Given to usTwo sailboats with sails that are right triangles.The top angle on the sails is marked congruent to each other.The smaller sail has a height of x and a base of 7 inches.The larger sail has a height of 12 inches and a base of 8 inches.

Similarity of triangles

We know that for the two sails of the sailboat,

the right angle will be equal,

the angles at the top of the sail are congruent, {given}

therefore, the third angle will be equal for both the triangles.

thus, both the triangles will be similar to each other.

For similar triangles,

The sides will be in ratio.

[tex]\dfrac{12}{8}=\dfrac{x}{7}[/tex]

[tex]\dfrac{12\times 7}{8}=x\\x = 10.5[/tex]

Hence, the smaller sail has a height of 10.5 inches.

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Please help. 15 points. Thank you.

Answers

(image size) = (scale factor)*(actual size)

1. 6 cm = 5*(actual size)
.. 6/5 cm = actual size

2. 1.8 in = (scale factor)*4.5 in
.. (1.8 in)/(4.5 in) = scale factor
.. 2/5 = scale factor

What is the minimum value of the parabola y= x^2+5x

Answers

Final answer:

The minimum value of the parabola y = x^2 + 5x is -25/4.

Explanation:

The minimum value of the parabola y = x^2 + 5x can be found by completing the square.

Rewrite the equation as y = (x^2 + 5x + 25/4) - 25/4, which is equivalent to y = (x + 5/2)^2 - 25/4.

Since the square of a real number is always non-negative, the minimum value of the parabola is -25/4.

The rain caused the river to rise a total of 6 and 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How many hours did it rain? (must be a whole number)
(there is a ratio) (2/3 divided by 1) and (6 and 2/3 divided by what?)

Answers

the answer is 10

I hope this helps

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall. The enlarged poster is 20 inches wide and 30 inches tall. Which proportion can be used to represent the picture sizes

Answers

Hello!
----------
A proportion that can be used to represent the picture sizes is p(poster printed) times 4 equals e(enlarged poster), or p*4=e.
----------
Have a great day!

Answer with Step-by-step explanation:

Michelle is having a poster printed from a picture that is 4 inches wide by 6 inches tall.

The enlarged poster is 20 inches wide and 30 inches tall.

20=4×5

i.e. width of enlarged picture=5×width of actual picture

30=6×5

i.e. height of enlarged picture=5×height of actual picture

Hence, proportion that can be used to represent the picture sizes is:

picture:enlarged picture = 1:5

PLEASE SOMEONE HELP ME ON THIS!!

ILL GIVE BRAINLIEST TO YOU IF YOUR ANSWER IS CORRECT

Answers

only the first one is right.

I think it's the first 2 choices

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