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PSYCHO15rus [73]
3 years ago
10

Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr

esenting the cost of buying this counter top. How many square feet of counter top can you buy for $2010? ​
Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

31.5 square feet of counter top

Step-by-step explanation:

x represents the number of square feet

40x + 750 = 2010 subtract 750 from both sides

40x = 1260 divide both sides by 40

x = 31.5

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Ed is on a road trip. He has already traveled 223 miles and is driving at a rate of 65 miles per hour. Which equation could be u
yKpoI14uk [10]

Answer: 65x + 223 = 639

This represents that for every mile, x, Ed will drive 65 miles and he has already driven 223 miles. So, it must be equal to 639 miles.

6 0
3 years ago
Find the perimeter of the polygon with the vertices A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).
Brilliant_brown [7]

Given:

The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).

To find:

The perimeter of ABCD.

Solution:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(4-(-1))^2+(1-1)^2}

AB=\sqrt{(4+1)^2+(0)^2}

AB=\sqrt{(5)^2}

AB=5

Similarly,

BC=\sqrt{(4-4)^2+(-2-1)^2}=3

CD=\sqrt{(-1-4)^2+(-2-(-2))^2}=5

AD=\sqrt{(-1-(-1))^2+(-2-1)^2}=3

Now, perimeter of ABCD is

P=AB+BC+CD+AD

P=5+3+5+3

P=16

Therefore, the perimeter of ABCD is 16 units.

5 0
3 years ago
Ewa has 20 balls of four colors: yellow, green, blue, and black. 17 of them are not green, 5 are black, and 12 are not yellow. h
Yanka [14]
20 total balls:

5 are black

17 NOT yellow

12 NOT green


20-17 = 3

20-12 = 8


5 Black + 3 yellow + 8 green = 16 balls


20 total balls - 16 balls = 4 blue balls



Ewa has 4 blue balls.
4 0
3 years ago
What is -3x^2-4x-4=0
ss7ja [257]

Answer:

<h2>no real solution</h2>

Step-by-step explanation:

-3x^2-4x-4=0\qquad\text{change the signs}\\\\3x^2+4x+4=0\\\\\text{use the quadratic formula:}\\\\\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then an equation has two solutions:}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have}\ a=3,\ b=4,\ c=4.\\\\\text{Substitute:}\\\\b^2-4ac=4^2-4(3)(4)=16-48=-32

8 0
4 years ago
James ran 3 miles. How many yard
DerKrebs [107]

There are 1760 yards in a mile. 1760 x 3 = 5280

Hope this helped!

6 0
4 years ago
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