An animal shelter has fixed weekly expenses of $750. Each animal in the shelter costs an additional $6 a week. a. During the summer months, the weekly expenses are at least $1170. Write and solve an inequality that represents the number of animals at the shelter for expenses to be at least $1170 a week.​

Answers

Answer 1

Answer:

1170≥6x+750      x=70

Step-by-step explanation:

We can put these numbers into a slope equation, y=mx+b, the fixed weekly expense ($750) represents b. And the $6 per animal is the slope or m. So our equation become y=6x+750. Now the weekly expense is $1170 and will represent the y in the equaion, 1170=6x+750. First subract 750 from both sides, 420=6x, divide by 6 and get that there was 70 animals in the shelter that week.

Answer 2

The number of animals the shelter needs to house in order for expenses to be at least $1170 per week is calculated as 1170≥6x+750 x=70

Explain about the Inequality?

In mathematics, an inequality is a link that compares two numbers or other mathematical expressions unfairly. Size comparisons between two numbers are commonly made on the number line.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

These figures can be entered into the slope equation y=mx+b, where the fixed weekly expense ($750) stands in for b. Additionally, the slope or m costs $6 per animal. We now have the equation y=6x+750. The current weekly expense of $1170 will serve as the y-coordinate in the equation, 1170=6x+750. First, divide 750 from both sides by 420 to obtain 6x, then divide that result by 6 to get the number of animals in the shelter that week 70.

To learn more about  Inequality refer to:

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Related Questions

If 3cm represents 4m what is 6cm • 3cm?

Answers

Answer:

18cm duh

Step-by-step explanation:

A red light flashes every 14 minutes. A blue light flashes every 24 minutes. When will the two lights flash together again if they last flashed together at 8 AM

Answers

Answer:

It happened in 168 minutes

Step-by-step explanation:

24: 48, 72, 96, 120, 144, 168

14: 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168

The common LCM is 168.  It happened in seven 24's and in twelve 14's

A fence is 10 feet tall. A stick leans against the fence as shown. What is the length of the stick?

Answers

The answer should be 22 1/2 ft

Find the equation of the parabola with the vertex at (0, 0) and the focus at (- 1, 0)

A. Y^2=8x

B. Y^2= -4x

C. Y^2= -4y

D. Y^2= 4x

Answers

Answer:

Hi! The answer to your question is B. [tex]Y^2=-4x[/tex]

Step-by-step explanation:

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A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

Answer:

If you were to make a 360 degree circle and minus the 50 thats already there you get 310 the right angle on angle 5 is 90 degrees because its a right angle so then the 310-90=220 the obtuse angle on angle 2 is 180 so 220-180=40 lastly you share those forty between angles 3 and 4 and the solution is your answer.

Glab to help!

plss help n dont be a B n give me sum gæy link :|
Solve for x
-3x + 6 = 2x - 24
A) -30
B) -6
C) 6
D) 30

Answers

Answer:

6

Step-by-step explanation:

ok

Lets start by grouping like terms

we get

-5x=-30

divide -5 from both sides

x=6

Answer:

x = 6 or C) 6

Step-by-step explanation:

Step 1: We will subtract 2x from both sides.

−3x + 6 − 2x = 2x − 24 − 2x

To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:

−5x + 6 = −24

Step 2: We will subtract 6 from both sides.

−5x + 6 − 6 = −24 − 6

−5x = −30

Step 3: We will divide both sides by -5.

−5x/−5 = −30/−5

Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!

11. Find the volume and the surface area of the solid.

Answers

Answer:

Part A

The surface area of the solid is 408 cm²

Part B

The volume of the solid is 312 cm³

Step-by-step explanation:

Part A

The surface area of the figure is found by finding the sum of the surface area of the individual rectangles that make up the figure as follows;

The areas of the rectangles are;

A₁ = 6 cm × 2 cm = 12 cm²

A₂ = 6 cm × 4 cm = 24 cm²

A₃ = 6 cm × 6 cm = 36 cm²

A₄ = 12 cm × 6 cm = 72 cm²

A₅ = 2 × 6 cm × 2 cm = 24 cm²

A₆ = 2 × 8 cm × 2 cm = 32 cm²

A₇ = 8 cm × 2 cm = 16 cm²

A₈ = 10 cm × 6 cm = 60 cm²

A₉ = 2 × 12 cm × 2 cm = 48 cm²

A₁₀ = 6 cm × 2 cm = 12 cm²

A₁₁ = 12 cm × 6 cm = 72 cm²

The area, A = A₁ + A₂ + A₃ + A₄ + A₅ + A₆ + A₇ + A₈ + A₉ + A₁₀ + A₁₁

Therefore, A = (12 + 24 + 36 + 72 + 24 + 32 + 16 + 60 + 48 + 12 + 72) cm² = 408 cm²

The surface area of the solid, A = 408 cm²

Part B

The volume is found similarly as follows;

V₁ = 6 cm × 6 cm × 2 cm = 72 cm³

V₂ = 8 cm × 6 cm × 2 cm = 96 cm³

V₃ = 12 cm × 6 cm × 2 cm = 144 cm³

The volume of the solid figure, V = V₁ + V₂ + V₃

∴ V = (72 + 96 + 144) cm³ = 312 cm³

The volume of the solid figure, V = 312 cm³.

2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?

Answers

Answer:

2:9

Step-by-step explanation:

To create the ratio, put the number of students that want pancakes to the number that wants waffles.

Since 2 want pancakes and 9 want waffles, the ratio will be 2:9

So, the answer is 2:9

Answer:

2:9

Step-by-step explanation:

beacause if every 2 students want pancakes and 9 want waffles

Heya!
[tex] \underline{ \underline{ \bf{Question}}}: [/tex] In the given figure , ABC is a triangle in which AB = AC. Also a circle passing through B and C intersects the sides AB and AC at the points D and E respectively. Prove that AD = AE.
~Thanks in advance! :)

Answers

Answer:

See Below.

Step-by-step explanation:

We are given that ABC is a triangle in which AB = AC.

A circle passing through B and C also intersects the sides AB and AC at points D and E respectively.

And we want to prove that AD = AE.

By the secant-secant theorem (shown below), we know that:

[tex]AD(AB)=AE(AC)[/tex]

We are given that AB = AC. So, by substitution:

[tex]AD(AB)=AE(AB)[/tex]

And by dividing both sides by AB (AB ≠ 0), we acquire:

[tex]AD=AE[/tex]

Q.E.D.

What is the sum of the two expressions? (2/7x + 5) + (4/7x - 3)

Answers

Answer:

= 6/7x+2

Step-by-step explanation:

just remove the parenthesis and combine like terms.

i hope this helps :)

Answer:

Step-by-step explanation:

Combine like terms.

2/7x and 4/7x are like terms  

5 and -3 are like terms

[tex](\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2[/tex]

Question 2: What is the volume of this prism?

Answers

Answer:

42 cubic units

Step-by-step explanation:

2x3x7

Find the area of the polygon.

A. 336 feet squared

B. 13,824 feet squared

C. 288 feet squared

D. 384 feet squared

Answers

Answer:

12 x 24 = 288

32 - 24 = 8

8 x 12 = 96

96 divided by 2 = 48

288 + 48 = 336 ft2 is your answer.

what ia 4(t-5) FAST !!!!!!

Answers

Answer:

4t-20

Step-by-step explanation:

Answer:

4t-20

or

unknown

Step-by-step explanation:

if there is a value for t then i,d,k the answer if there isnt then 4t-20 is the answer

Find the surface area of the come in terms of pi

Answers

Answer:

1157.91 or rounded 1157.9 or 1158

Step-by-step explanation:

π • r^2 • (h/3)

π • 10^2 • 11/3

24. Solve the system of equations below: 2x - 6y = - 12 x+2y = 14
how do I do this I don't get it please help​

Answers

Answer:

(x,y) (28/19, -35/19)

hope this helps

Answer:

x = 6, y = 4

Step-by-step explanation:

multiply the equation x + 2y = 14 by two then subtract the equation 2x - 6y = - 12 to eliminate x and solve for y:

×2 => 2x + 4y = 28

     -)   2x - 6y = -12

_________________

                10y = 40

=>                 y = 4

substitute y = 4 to either of the equation 2x - 6y = - 12 OR x + 2y = 14   to solve for x:

=> 2x - 6(4) = -12

=> 2x = 12

=> x = 6

i have been on this test like- forever trying to figure this out im horrible at math someone please help me-

Answers

Answer:

Step-by-step explanation:

total cost = c

students = s

cost = 7

c = s*7

independent is  s

dependent is c

Solve 16 = 2x − 2. 2 4 6 8

Answers

Answer:

The answer to this question is 6.

Step-by-step explanation:

To find the value of x we must find what minus 2 gets us 16. To find this we pretty much just see what 2 to the power gives us 16, therefore we find that 2^4 is 16. We now must solve for x. We take all of our possible solutions and find what minus 2 gets us 4. We then can see that 6-2 is 4 and that 2^4 is 16. Therefore, we can conclude that x is equal to 6.

If the linear equation with a single variable is 2x - 2 = 16. Then the value of the variable x is 9.

What is linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equation with a single variable is given below.

16 = 2x - 2

Then the value of x will be given as

18 = 2x

 x = 9

Then the value of the variable x is 9.

More about the linear system link is given below.

https://brainly.com/question/20379472

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Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube
Plssss answer me fasttt

Answers

Answer:

h=8

Step-by-step explanation:

Fast fast!jjdbdbdjdjdbxjdj

Please Help! I’m not really sure about anything at this point.

Answers

Answer:

sorry bro im d.u.m.b

Step-by-step explanation:

:_ )

You buy a new wheel for your bicycle. The diameter of the bicycle wheel is 22 inches. What is the radius of the bicycle wheel? What is the circumference of the bicycle wheel? What is the area of the bicycle wheel?

Answers

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Work out the area of the triangle(tap on the picture to see the whole equation)

Answers

Answer:

32.4mm²

Step-by-step explanation:

area of triangle =

1/2 × base × height "or" ( base × height ) ÷ 2

base= 12mm

height= 5.4mm

(12mm × 5.4mm) ÷ 2

= 32.4mm²

420 student 25 times 3 times the number of girls 2 times the number of boys how many girls amd how many boys

Answers

Complete Question

We have a total of 420 students. 2 times 3 times the number of girls is equal to 2 times the number of boys how many girls and how many boys

Answer:

The number of boys = x = 315 boys

The number of girls = y = 105 girls

Step-by-step explanation:

Let

The number of boys = x

The number of girls = y

We have 420 students

2 times 3 times the number of girls is equal to 2 times the number of boys

x + y = 420..... Equation 1

2 × 3y = 2x

6y => 2x

x => 6y/2 = 3y

We substitute 3y for x in Equation 1

3y + y = 420

4y = 420

y =>420/4

y => 105

Solving for x

x = 3y

x = 3 × 105

x = 315

Therefore,

The number of boys = x = 315 boys

The number of girls = y = 105 girls

In what way is a debit card similar to a check? a. You must always provide a signature to use either. b. Both always take a few days to clear, so there is some float time until the payment goes through. c. Both pull money directly from a checking or savings account. d. Both charge interest on the purchases you make with them.

Answers

Answer:

both pull money directly from a checking or savings account.

Answer:

c

Step-by-step explanation:

40 POINTS AND BRAINLIEST FOR THE BEST ANSWER!!!!
PLS ANSWER QUICK !!!!!!!!!!!!

A candle burns down at the rate of 0.75 inches per hour. The original height of the candle was 9 inches.

Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)

Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)

Part C: If the rate at which the candle burned was 0.5 inches per hour instead of 0.75 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)

Answers

Answer:

15

Step-by-step explanation:Welcome for the answer. This answer is for good intentions only dont flag me please.

Step-by-step explanation:

Ordered Pairs

9 inches after 0 hours

8.15 inches after an hour

7.40 inches after 2 hours

6.65 inches after 3 hours

5.90 inches after 4 hours

4.15 inches after 5 hours

3.40 inches after 6 hours

Function

I don't believe it is a function but I could be wrong

Classify this triangle by its sides and angles.

Answers

Answer:

right and isosceles but not equilateral

right and isosceles but not equilateral

What is the factored form of the expression x^2 - 16?

Answers

Answer:

(x + 4)(x - 4)

Step-by-step explanation:

Answer:

( − 4 ) ( + 4 )

Step-by-step explanation:

x^2 - 16

x^2 + 4x - 4x = 16

x^2 + 4x - 4x - 16

( + 4 ) − 4 ( + 4 )

( − 4 ) ( + 4 )

Please mark as brainliest  

Have a great day, be safe and healthy  

Thank u  

XD

solve for x show all work

Answers

Answer:

x=4

Step-by-step explanation:

we know the ratio of left to right is 2:1 because 6:3=2:1

the horizontal lines are parallel, so the other set of numbers follows the same proportions

[tex]x^{2} +2x+11=2(x+13.5)\\x^{2} +2x+11=2x+27\\x^{2} +2x-2x=27-11\\x^{2} =16\\x=\sqrt{16} \\x=4[/tex]

please help me with this i will give brainliest

Answers

4x^3
4(1)^3 = 4

4(2)^3 = 4(8) = 32

4(1/2)^3 = 4(1/9) = 4/9

Hopefully this helps and you can mark me as brainliest
It is 4/9 hope it helps


What fraction is equal to 40% ?

Answers

Your Answer is:

4/10

Step-by-step explanation:

because 4 out of 10=40%...

A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

Answers

Answer:

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) = [tex]\frac{2}{3} x - 2[/tex]

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m = [tex]\frac{2}{3}[/tex]

For x-intercept,

Put y = 0

⇒[tex]\frac{2}{3} x - 2[/tex] = 0

⇒[tex]\frac{2}{3}x = 2[/tex]

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

y-intercept = -2

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