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

17.URGENT
Can someone please help me?​

Answers

Answer:

Answer choice D

Step-by-step explanation:

So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:

3V=4[tex]\pi[/tex][tex]r^{3}[/tex]

Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:

[tex]\frac{3V}{4\pi } = r^{3}[/tex]

Then cube both sides:

[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]

Answer choice D

lets try this again can someone help

Answers

Answer:

Step-by-step explanation:

First expand into [tex]\left(x^2-9\right)\left(3x+2\right)[/tex]. Then expand again to[tex]3x^3+2x^2-27x-18[/tex]

29 divided by 6 gbhikgiogfofdldslwkjrtjbjgjfr

Answers

Answer:

4.83333333333

Step-by-step explanation:

oh boy, that wasnt very fun to type. you get the idea. its a lot of threes.

i need two more , i got 1

Answers

Answer:

X=12,-4

Step-by-step explanation:

Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4

Question 3
1
Marcus wants to move triangle PQR in such a way that vertex P moved from the point (-2,5)
to P' (3, -3). Which of the following algebraic representations matches this translation?
A. (x,y) → +5,y + 8)
B. (x,y) → (x - 5,y - 8)
C. (x,y) → (x - 5, y + 8)
D. (x,y) → (x +5,y - 8)

Answers

D. (x, y) —> (x+5, y - 8)

Simplify the polynomial using multiplication.

−5b(2a−3a2)


−10a+3ba^2

−10ba+15ba^2

−5b+2a−3a^2

10ba−15ba^2

Answers

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

https://brainly.com/question/17419800.

#SPJ2

Help please!!!!!!!!!

Answers

Answer:

440 square inches

Step-by-step explanation:

5 x 8 x 11 = 440

440 Square inches I’m positive


Solve the inequality 2(n + 3) - 4<6. Then graph
the solution

Answers

I think it's -40 but don't put that answer k might be wrong

pls help is ending of semester tomorrow

Answers

Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation:

Eight ounces of Ground beef are needed to make one hamburger. If one package of ground beef contains 12 pounds how many hamburgers can be made

Answers

Answer:

1 1/2

Step-by-step explanation:

set up a proportion:

8 = 12

1        x

cross-multiply:  8x = 12

                          x = 12/8

                          x = 3/2 (simplified)

Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.

The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?

6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28

The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.

Answers

Answer: Answer Is C

Step-by-step explanation: Did the Quiz test thing

Answer:

C. 6p3 – 23p2 + 9p + 28

Step-by-step explanation:

edge

please help with this question (the attached image)

Answers

Answer:

it is c

i had this test pls marek me brainlyesest

Answer:

Your awnser is C.

Step-by-step explanation:

.

What is the solution to this system of equations? 5x + 2y= 29
x + 4y = 13

A x = 5, y = 3
B. x=2, y=5
C. X= 5, y = 2
D. x= 3, y = 2​

Answers

Answer:

C

Step-by-step explanation:

Given the 2 equations

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 10x - 4y = - 58 → (3)

Add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

Solution is x = 5, y = 2 → C

Answer:

c) x = 5, y = 2

Step-by-step explanation:

Matt's den is 10 feet longer than it is wide. If the dents area is 231 square feet, what are the dimensions of the room?
The dimensions of the room are
ft.
(Use a comma to separate answers as needed.)

Answers

Answer:

[tex]21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}[/tex]

Step-by-step explanation:

(Assuming the den is a rectangle)

Let [tex]x[/tex] be the length of the den. Because the length is 10 feet longer than the width, the width of the den can be represented as [tex]x-10[/tex].

The area of a rectangle is given as [tex]l\cdot w[/tex], therefore we can form the following equation:

[tex]x(x-10)=231[/tex]

Expanding this, we have:

[tex]x^2-10x=231, \\\\x^2-10x-231=0[/tex]

This factors into [tex](x-21)(x+11)=0[/tex], therefore [tex]x=21, \: -11[/tex].

Because -11 is extraneous, the length of the den is [tex]21[/tex] feet and the width is [tex]21-10=11[/tex]. Thus, the dimensions of the den are [tex]\fbox{$21\: \mathrm{feet\: by}\: 11 \: \mathrm{feet}$}[/tex].

The circumference of a circle is 64. What is the radius of the circle?

Answers

The radius of the circle would be 10.19 I hope this helped!! :)

pleassssssssssss i need help

Answers

line segment AB and CD
It’s the First one AB and CD

Round your answer to the nearest tenth.

Answers

Answer:

The value of MB = 8.4

Step-by-step explanation:

We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.

Thus,

For the given triangle ΔJKL,

The point M is the centroid of the triangle.

We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.

Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.

In our case,

The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.

i.e.

KM = 2 MB

Given KM = 16.8

so substitute KM = 16.8 in the equation KM = 2 MB

16.8 = 2 MB

MB = 16.8/2

MB = 8.4

Therefore, the value of MB = 8.4

or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the

what is the value of x and y?

Answers

Angles in a triangle add up to 180 degrees.

All angles in an equilateral triangle have equal values

Both angle x and y equal 60 degrees.

Is this correct for number 5 if not please help

Answers

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

4. What is of 2107what is 2 fifths of 210 ​

Answers

Answer:

points I want ... use of this communication

Rewrite 4% as a decimal.

Answers

Answer:

0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

simple math the 4 is in the ones place

I need help please

4d + 8

Answers

Answer:

4  ( + 2 )

Step-by-step explanation:

Answer:

i am going to assume 4d+8=0 so 4d=-8 and  d=-2

Step-by-step explanation:

(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.

(1) Calculate the radius
(2) Calculate the length of CD​

Answers

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

Help me with this question please

Answers

Answer:

Part A: 14

Part B: 10

Step-by-step explanation:

Since the ratio to each paint is the same...

(red/yellow) 2/5=x/35

Cross Multipy

5x=70

x=70/5

x=14

Repeat the same thing but replace 35 with 25 for Part B

2/5=x/25

Cross Multiply

5x=50

x=10

Jen has 1 chocolate bar she is sharing with her friend, Joe. Jen takes 2/3 of Joe’s piece. What’s Joe’s current piece?

Answers

Answer:1/3

Step-by-step explanation:

If Jen has 1 chocolate bar means that he has 3/3 whole .If he gives 2/3 then he will be left with 1/3 part of the chocolate bar.

Please help. I need a smart person to help :)

Answers

Answer:

quadrant 2!

Step-by-step explanation:

Wouldn’t it be quadrant 1

HURRY PLZ!!!!!!BY 10:30
One inch is around 2 11/20 centimeters.What fraction of an inch is 1 centimeter?
A) 13/20
B) 17/20
C) 20/51
D) 20/11
Plz get this right!! for some reason it is worth 25 points on this test!! And it is a MIDTERM

Answers

Answer: C 20/51

Explanation:
1/51/20 = x/1

Answer: C

Step-by-step explanation: Trust me on this ok?

When is the slope intercept form only y= mx and not y = mx+b?

Answers

Answer:

No Y-Intercept

Step-by-step explanation:

The only way for a slope to never have B within itself, is when Slope intercept form has no value for B or the Y intercept.

Sam and her friends are going on a road trip that is 124.8 miles long they have already driven 112.9. How much farther do they have to drive? 10

Answers

They will have to drive 11.9 more miles

can someone help pleaseee its due soon

Answers

Answer:

10

Step-by-step explanation:

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