To stay within your budget,the area of the house and the garage combined is at most 3000 square feet.The area of the garage is 528 square feet.Write and slove an inequality that represents the area of the house. write the inequality, do not simplify. Let h=area of the house simplify the inequality

Answers

Answer 1

Answer:

h ≤ 3000 ft² - 528 ft²

h ≤ 2472 ft²

Step-by-step explanation:

Area of house and garage is at most 3000 ft²

Area of garage = 528 ft²

Area of house (h) =?

Area of garage + Area of house ≤ 3000 ft²

528 ft² + h ≤ 3000 ft²

h ≤ 3000 ft² - 528 ft²

h ≤ 2472 ft²


Related Questions

(3,6)
(3,-3)
What is the slope

Answers

Answer:

The slope is 3. Thats what my friend said

Step-by-step explanation:

A triangle has a perimeter represented by the expression 9x + 7


A square has a side length represented by 4x – 3.




Which expression represents the total perimeter of the two figures?


A) 20x

B) 4x2 + 9x – 5

C) 13x + 4

D) 25x – 5

Answers

Answer:

D. 25x-5

Step-by-step explanation:

you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.

ill give u braillist

can someone plz HELPPPPPP!!!!!!!!!

Answers

Answer:

The slope is two and the y-intercept is (0,1)

Prove the sum of three consecutive is divisible by three, that the sum of 5 consecutive integers is divisible by 5, but the sum of four consecutive integers is not divisible by 4

Answers

Answer:

Proved

Step-by-step explanation:

Solving (a):

Let the numbers be: [tex]x, x + 1, x + 2.[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2[/tex]

Collect Like Terms

[tex]Sum = x + x + x + 1 + 2[/tex]

[tex]Sum = 3x + 3[/tex]

Divide sum by 3.

[tex]Result = \frac{Sum}{3}[/tex]

[tex]Result = \frac{3x+3}{3}[/tex]

[tex]Result = \frac{3(x+1)}{3}[/tex]

[tex]Result = x + 1[/tex]

Hence, this is true because there is no fractional part after the division

Solving (b):

Let the numbers be: [tex]x, x + 1, x + 2,x+3,x+4[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3 + x + 4[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + x+1 + 2 + 3 + 4[/tex]

[tex]Sum = 5x+10[/tex]

Divide sum by 5.

[tex]Result = \frac{5x + 10}{5}[/tex]

[tex]Result = \frac{5(x + 2)}{5}[/tex]

[tex]Result = x + 2[/tex]

Hence, this is true because there is no fractional part after the division

Solving (c):

Let the numbers be: [tex]x, x + 1, x + 2,x+3[/tex]

Their sum is:

[tex]Sum = x + x + 1 + x + 2+x + 3[/tex]

Collect Like Terms

[tex]Sum = x + x + x + x + 1 + 2 + 3[/tex]

[tex]Sum = 4x+6[/tex]

Divide sum by 4.

[tex]Result = \frac{4x + 6}{4}[/tex]

Split

[tex]Result = \frac{4x}{4} + \frac{6}{4}[/tex]

[tex]Result = x + 1.5[/tex]

The 1.5 means that the sum can not be divisible by 4

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?


Gym B charges $1.05 less per hour than Gym A.

Gym B charges $1.50 less per hour than Gym A.

Gym B charges $5.25 less per hour than Gym A.

Gym B and Gym A charge the same hourly rate for childcare.


someone, please help !!

Answers

Answer:

gym a and b charge the same

Step-by-step explanation:

5 mins x 12 = 60 mins o.75 x 12 = 9

Answer:

Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

$0.75 per 5 minutes

$9.00 per haur

5 × 12 = 1 haur

$0.75 × 12 =$9.00

Misha and Carlos collect baseball cards. Misha has been collecting cards longer and finds a ratio of 9 to 4 when comparing her total cards to her friend. If Carlos has 76 cards, how many cards do they have together?

Answers

Answer:

247 cards

Step-by-step explanation:

Misha : Carlos = 9 : 4

Carlos = 76 cards

Misha = x cards

9 : 4 = x : 76

9/4 = x/76

Cross product

9 * 76 = 4 * x

684 = 4x

x = 684 /4

x = 171

Misha = 171 cards

how many cards do they have together?

Total cards altogether = Misha + Carlos

= 171 cards + 76 cards

= 247 cards

Total cards altogether = 247 cards

Write 2x+y=3 in slope-Intercept form.
O a) y2x+3
O c) y--2x+3
b) y-2/3x-2
d) y=-2x-3

Answers

Answer:

Step-by-step explanation:

the slope intercept form is y= mx+b  so rearranged

2x+y = 3 ; subtract 2x from both sides

2x-2x +y = -2x+3

y= -2x +3

PLEASE HELP!!!!!!
Rotate the given triangle 270°
counter-clockwise about the
origin.
2 21
-1 -1 3
-1
[1 1
?
[
-1
1
11

Answers

9514 1404 393

Answer:

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Step-by-step explanation:

The 270° CCW rotation is described by the transformation ...

  (x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Which equation represents a linear function?

Answers

Answer:

y=x-3

Step-by-step explanation:

Mortgage loan of $84,000.
Interest rate is 6 percent.
Monthly payment is $504.
How much of the first monthly payment is for interest?

Answers

Answer: $420

Step-by-step explanation:

The monthly payment has both an interest component and a principal repayment component.  

The interest component is based on the total loan amount(principal) still due at the time and the principal repayment component will be the rest of the payment.

First convert the interest rate to a monthly interest rate as the payments are done monthly:

= 6%/12

= 0.5%

Interest = Principal remaining * interest rate

= 84,000 * 0.5%

= $420

Answer:

420

Step-by-step explanation:

PLEASE HELP WITH THE MIDDLE ROW THIS IS DUE IN 5 MIN

Answers

Answer:

4.) 8%

5.)56%

6.)90%

10.)107%

11.)275%

12.)0.75%

13.)33/400

14.)30.5/100

15.)200/3

16.)62.5

17.)75%

PLEASE HELP ME WITH THIS PROBLEM I WILL FAIL​

Answers

Answer:

The answer is b

Step-by-step explanation:

On Wednesday, 9 out of every 11 students attended tutoring. If 55 students were assigned tutoring, how many students did not attend tutoring​

Answers

Tao em polos emesate et empleta

Answer:

10 students

Step-by-step explanation:

Hi there!

To find the answer, we first know that 9/11 students attend tutoring.

If 55 are assigned, that means that 45/55 students showed up.

This is because 11 * 5 = 55, which means this can be solved fairly easily now.

Since we multiplied the denominator, 11, by 5, we have to do the same thing to 9.

9 * 5 = 45

Now we have 45/55. We know that 45 students out of the 55 that were assigned showed up, but its asking for how many did not show up, so we just subtract 45 from 55 to get 10.

10 students did not show up for tutoring.

I hope this helped!

PLEASEEE HELPPPP ASAPPP PLEASE

Answers

a- (-6,4), (-9,0), (0,12), (-1.5,10), (-3,8), (6,20)
b-it is on the graph
c- (1,1), (0,0) (I just picked 2 random points that weren’t on the line)

The graph of h(x)=|x-10|+6 is shown on whitch interval is the graph increasing

Answers

D is the correct answer
it might be d... not sure whatsoever. have a good day!!

Please help help help help help im having trouble with this problem what is the answer

Answers

B. Increasing, nonlinear.

Hope this helps. Also, cool pfp.

plzz help me

Solve -24 = 6x. Show your work.

Answers

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

Answer:x = -4

Step-by-step explanation:

From birth to age 1, baby elephants grow about 220%. If an elephant was 400 pounds at birth, how much does it weigh at age 1? ​

Answers

Answer:

840lbs because that's how much

Answer:

880 pounds

Step-by-step explanation:

400 x 2.2 = 880

what does x equal in this problem? x/12 - 5 = -6

Answers

Answer:

x=-12

Step-by-step explanation:

Solve for  x by simplifying both sides of the equation, then isolating the variable.

How many 1/4 cup servings are in an 8 -cup box of cereal? 32 servings 1/4 servings 6 servings 2 servings?​

Answers

Answer:

32

Step-by-step explanation:

There are 32 servings of a 1/4 cup in an 8 cup box of cereal.

1/4 is equal to 25% or 0.25. To get to 1, you'd need to multiply it by 4. 4 1/4 cup servings would make 1 cup in total.

To make 8 cups, you'd need to multiply that by 8 to get 32 servings.

According to the graph, what is the value of the constant in the equation below?

Answers

Answer:

36.

Step-by-step explanation:

plug in the numbers. height=constant/width

height=18

width=2

18=×/2

18×2=36 or 36/2=18

Need help asap! What is x and y?

Answers

Answer:

C

Step-by-step explanation:

I THINK THAT IS THE ANSWER.

HELP ME PLEASE.......

Answers

The slope is -1/3
The y-intersept is 1

Answer:

Y intercept: 1

Slope: -1/3

Equation would be y=-2/3x+1

Step-by-step explanation:

solve for x, i'll give brainiest.

Answers

Answer:

16

Step-by-step explanation:

6x=2x+68

6x-2x=68

4x=68

x=17

Answer:

17 or 16

Step-by-step explanation:

you will get 16 but if you round it then it's 17

DESCRIBE THE GENERAL STRUCTURE OF THE OCEAN FLOOR! (Not math)

Answers

ummmmm mini volcanoes (I don’t know the exact name) fish lol I am trying to tell u as much I can remember

Answer:

A lot of sand :D

Miguel needs to fix a window screen that is 23 feet above the ground. A ladder leans against a building and forms a 75 degree angle with the ground. The angle where the building and ground meet is 90 degrees. The ladder he uses makes a 75° angle with the ground. What is the shortest possible length of the ladder if the top of it is 23 feet off the ground? Round to the nearest whole number. 6 ft 22 ft 24 ft 89 ft

Answers

Answer:

24

Step-by-step explanation:

i did it on edge

The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

What is right triangle?

"It is a triangle in which one of the angle measures 90° "

What is hypotenuse?

"It is the longest side in the right triangle."

What is Pythagoras theorem?

"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."

What is sine of angle?

"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "

For given question,

Consider the following figure.

In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.

WY represents the ladder.

that is the hypotenuse of right triangle WXY is the length of the ladder.

A ladder leans against a building and forms a 75 degree angle with the ground

⇒ ∠WYX = 75°

Consider the sine of ∠WYX .

[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]

This means the hypotenuse WY is approximately 24 ft.

Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

Learn more about the hypotenuse here:

https://brainly.com/question/8587612

#SPJ2

Solve.
Enter any fraction as a simplified fraction.

[tex](5\sqrt{5})^{-2x+1} = \frac{1}{5} * 125^{x-3}[/tex]

Answers

Step-by-step explanation:

(5√5)^(1-2x) = 1/5 * 125^(x-3)

(5^1.5)^(1-2x) = 5^(-1) * 125^x / 125^3

5^1.5 / 5^3x = 5^(-1) * 5^(3x) / 5^9

5^1.5 / 5^3x = 5^(3x) * 5^(-10)

5^(1.5 - 3x) = 5^(3x - 10)

=> 1.5 - 3x = 3x - 10

=> 6x = 11.5

=> x = 23/12.

In a​ company, 90​% of the workers are women . If 440 people work for the company who​ aren't women ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answers

Answer:

There are total 4400 workers

Process is in photo...

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

What is percentage?

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

To know more about percentages:

brainly.com/question/20818421

#SPJ2

I honestly don't get this, need help

Answers

what do you need help with?

You need to multiply one side to another so 2x+2 x 2x+4 so x^2 +6x + 8

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

Answer:

x is greater than or equal to 42 inches (I can't do the smybol for it)

Step-by-step explanation:

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