Use the information given to answer the question.
which two inequalities represent the constraints for the art studio classes
per week?
an art studio offers classes for painting and pottery. each painting class is 1
2+ y = 40
hour long. each pottery class is 1.5 hours long. the art studio is only open
0 2 +1.5y = 40
for classes a maximum of 40 hours per week, and only one class is offered at
o +1.5y > 40
35(2 + y) < 1,000
a time. each class costs $35,and the art studio earns a minimum of $1,000
35(x + y) > 1,000
per week from all classes. let be the number of painting classes offered per
calculator
week, and let y be the number of pottery classes offered per week.

Answers

Answer 1

The two inequalities that represents the constraints for the art studio classes per week are:

x + 1.5y = 40

35(x + y)  > 1,000

What two inequalities represent the constraints?

Here are inequalities signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

= means equal to

The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.

The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.

To learn more about inequality, please check: https://brainly.com/question/5031619


Related Questions

What is the number halfway between 8516 and 8586?

Answers

Answer:

8551

Step-by-step explanation:

The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551

The seats in a movie theater are arranged so that each row has 6 more seats than the row in front of it. If the first row has 24 seats, how many seats are in the 6th row?
a. 30
b. 48
c. 54
d. 60

Answers

Answer:

54 seats

Step-by-step explanation:

To make it easier, I'll put it like this.

Row    |    Seats

 1        |      24

 2       |      30

 3       |      36

 4       |      42

 5       |      48

 6       |      54

(Add 6, because each row has 6 more seats than the row in front of it.)

So, the 6th row has 54 seats.

Hope this helped !

find the hcf of 6 and 8 by prime factorization method
pls help? ​

Answers

Answer:

2

Step-by-step explanation:

Factorization of the following.

6=3×2×1

8=2×2×8×1

Since, The common factor is 2.This implies that

H.C.F=2

The total assets of a company in millions of dollars can be modeled by the function f (a)
represents the number of years that have passed since the company was founded.
-0.502 + 8x + 3, where &

Answers

2+2 equals 8 this week and yea we will be there at this time in

Line n goes through points A and B. What is the slope of line n?
Point A;(4,7)
Point B:(18,17)

Answers

Answer:

The slope is 5/7.

Step-by-step explanation:

Use a slope formula.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

y₂ = (17)

y₁ = (7)

x₂ = (18)

x₁ = (4)

Rewrite the problem down.

[tex]\sf{\dfrac{17-7}{18-4}=\dfrac{10}{14}={\dfrac{10\div2}{14\div2}=\boxed{\sf{\dfrac{5}{7}}}[/tex]

Therefore, the slope is 5/7.

I hope this helps! Let me know if my answer is wrong or not.

Answer:

5/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(17-7)/(18-4)

m=10/14

simplify

m=5/7

help please this assignment is due in a few minutes

Answers

200 miles. If their traveling 400 miles per hour. 30 minutes is half so u cut the miles in half

Answer:

C. 200 hours

Step-by-step explanation:

According to the given Question ,

Speed of Aeroplane is 400miles/hour

It means that the aeroplane covers 400 miles in 60 minutes.

and it is asked for 30 minutes , so

We know that 30 minutes is equal to 0.5 hours

By the formula ,

Distance = Speed × Time

putting the values given , we get

= 400×0.5

Distance = 200 miles

hello me again, answer this question, please show work

Answers

Answer:

6x

Explanation:

A number is x. 6 x x is written as 6x

Answer:

6x or 6*x

Step-by-step explanation:

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

6 is multiplied by a number

6x

6 * x

Hope this helps!

The radius of a quarter circle is 3 what is the quarter circle's perimeter?

Answers

Answer:

21.42

Step-by-step explanation:

Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42

Find the length of the altitude.

Answers

[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]

Answer:

Area of a trapezoid :

[tex]area = \frac{a + b}{2} h[/tex]

The measures given are trapezoid

Area = 135

base 1 = 22

base 2 = 8

[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]

Step-by-step explanation:

We can check if the answer is right

[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]

hey who knows this? i need help

Answers

Answer:

I don't see any thing there

Step-by-step explanation:

u need to include the picture

table:
0 16
2 23
4 33
6 48
8 69
10 99
is this linear or exponential?

Answers

Answer:

exponential

Step-by-step explanation:

it is an exponential function

+7

+10

+15

+21

+30

use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot

Answers

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

What is the Tangent Ratio?

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Learn more about the tangent ratio on:

https://brainly.com/question/4326804

Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in

Answers

Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²

How to calculate the total surface area of a rectangular prism

Length = 20 inwidth = 8 inHeight = 13 in

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= 1,048 in²

Learn more about surface area:

https://brainly.com/question/1310421

PLEASE HELP ASAP
a. write the first four terms of the series
b. does the series diverge or converge?
c. if the series has a sum, find the sum

Answers

Answer:

i think it B

Step-by-step explanation:


A sector with arc measure 72º has an
area of 80 square feet. Determine
the radius of the circle.
A 18 ft
C 12 ft
B 20 ft
D 16ft

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Radius ~

[tex]\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:r \approx 11.28 \: ft[/tex]

I hope you understood the whole procedure, let me know if you have doubts ~

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

help me out i will give brainlist

Answers

Answer:

no

Step-by-step explanation:

0.06 = [tex]\frac{6}{100}[/tex] ← that is 6 books out of 100

she requires to have 60 out of 100 , that is

[tex]\frac{60}{100}[/tex] = 0.6

enter the value of 4 1/4 - 5/7 + (-2/7) - (-3)

Answers

Answer:

[tex]=6\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]4\frac{1}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]4\frac{1}{4}=\frac{4\cdot 4+1}{4}[/tex]

[tex]=\frac{17}{4}[/tex]

[tex]=\frac{17}{4}-\frac{5}{7}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]=\frac{99}{28}+\left(-\frac{2}{7}\right)-\left(-3\right)[/tex]

[tex]=\frac{99}{28}-\frac{2}{7}-\left(-3\right)[/tex]

[tex]=\frac{13}{4}-\left(-3\right)[/tex]

[tex]=\frac{13}{4}+3[/tex]

[tex]=\frac{25}{4}[/tex]

[tex]\frac{25}{4}=6\frac{1}{4}[/tex]

[tex]=6\frac{1}{4}[/tex]

-{ModPatrol}

5547x94
what is the answer

Answers

Answer:

521418

Step-by-step explanation:

The answer should be 521418

what's another way to say a+a
A. a^2
B. a+2
C. a-a
D. 2a

Answers

Hello, the answer is D. 2a

Answer:

[tex]\boxed{\sf{2a}}[/tex]

Step-by-step explanation:

In order to solve this problem, you need to add their similar elements together.

First, add similar to elements.

[tex]\sf{a+a=\boxed{\sf{2a}}[/tex]

So, the correct answer is D. 2a.

I hope this helps you! Let me know if my answer is wrong or not.

What is the mean for the following set of data, to the nearest whole number?

5, 9, 15, 18, 22

13
17
14
15

Answers

Answer:

the answer will be 14

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer:

The mean is 14

Step-by-step explanation:

Mean = The sum of all Numbers Divided by the count of Numbers

In this case there are 5 numbers and adding them together = 69

69/5 = 13.8

Rounding up because it ends in above 5

= 14

A windowpane is 5 inches by 6 inches. What is the distance between opposite corners of the windowpane?​

Answers

Answer:

6 in.

Step-by-step explanation:

5 inches is the width. Length is 6 in.

answer fast its a test q.
based on the statement is true?

Answers

Answer:

the right answer is F (exterior angle of triangle is equal to its sum of opposite interior angle of a traingle)

Answer: W = 40 degrees.

Step-by-step explanation: When you're finding a missing interior angle, all you need is the angle measurements of the other two angles.  According to the picture, we have two 70's given, which both add up to 140.  All the interior angles of a triangle need to add up to 180, and we have 140 so far.  That's where the missing angle comes in.  When you subtract 140 from 180, you get 40, which is your missing angle.

Let me know if this is right! :)

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

answer "Less than"

Step-by-step explanation:

a) 1 2/3 = 5/3 = 1.666 ...

b) 1 5/6 = 11/6 = 1.833 ...

a < b

Answer:

1 5/6 > 1 2/3

Step-by-step explanation:

=>        1 5/6 = (1*6)+5/6

=>        1 5/6 = 6+5/6

=>        1 5/6 = 11/6

so like that, 1 2/3 = 5/3

now the denominators should be the same

for that,

5*2/3*2 = 10/6

11/6 and 10/6

=>          11/6 > 10/6

=>          1 5/6 > 1 2/3

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.

Answers

Yes julia is correct the run of the scond similar triangle will be b2=25.

What are simlilar traingles?

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]

[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]

[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]

[tex]b_2=25[/tex]

Thus julia is correct the run of the scond similar triangle will be b2=25.

To know more about similar triangle follow

https://brainly.com/question/2644832

An explicit rule for a sequence tells how to find an as a function of blank the first term,A1, the next term an+1,

Answers

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

Kelly has some money. She spends $17.50 on clothes,
She has $6.21 left. Which model represents this?
a $17.50 -6.21 =n
b. n - 17.50 = 6.21
c. n + 17.50 = 6.21
d. n + 6.21 = 17.50
Explain.

Answers

Answer:

b

Step-by-step explanation:

because we dont know what she started with.

Answer:

b) I guess

Step-by-step explanation:

she has n. she spends $17.50 (-). she has $6.21 left

n                -                      17.50               =$6.21

n-17.50=$6.21

Which product has 4 zeros after the digit 3?
0.03 x 104
0.3 x 104
0.3 x 10
0.03 X 109

Answers

Answer:

0.03×104=3.12

0.3×104=31.2

0.3×10=3

0.03×109=3.27

these are the products

hope it helps!

32 is what percent of 50?
64%
70%
1.5%
156%

Answers

Answer:

64% hope this helps

Step-by-step explanation:

I'm just smart

Answer:

The answer is 64%

Step-by-step explanation:

5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.

indicate the formula for the following conditions.

P(n,r) = ?

Answers

Answer:

P (n,r)= [tex]\frac{n!}{(n-r)!}[/tex]

Step-by-step explanation:

P (n,r)= ?

complete formula for permutation of objects in a set:

P (n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?

Answers

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

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