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Marizza181 [45]

3 years ago

10

If 8lbs of apples cost 12.48, how much is 1lb of apples

1 answer:

prisoha [69]3 years ago

3 0

Answer:

$1.56

Step-by-step explanation:

You have to divide the cost $12.48 and divide it with the 8lbs and it gives you $1.56, if your not sure that its the right answer than just multiply the answer with the 8lbs, your welcome!

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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). The perimeter of ∆ABC is units is? What is the area?

11111nata11111 [884]

we have

$A(-2, 2),B(6, 2),C(0, 8)$

see the attached figure to better understand the problem

we know that

The perimeter of the triangle is equal to

$P=AB+BC+AC$

and

the area of the triangle is equal to

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB\\heigth=DC$

we know that

The distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Step $1$

<u>Find the distance AB</u>

$A(-2, 2),B(6, 2)$

Substitute the values in the formula

$d=\sqrt{(2-2)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$dAB=8\ units$

Step $2$

<u>Find the distance BC</u>

$B(6, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-6)^{2}}$

$d=\sqrt{(6)^{2}+(-6)^{2}}$

$dBC=6\sqrt{2}\ units$

Step $3$

<u>Find the distance AC</u>

$A(-2, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0+2)^{2}}$

$d=\sqrt{(6)^{2}+(2)^{2}}$

$dAC=2\sqrt{10}\ units$

Step $4$

<u>Find the distance DC</u>

$D(0, 2),C(0, 8)$

Substitute the values in the formula

$d=\sqrt{(8-2)^{2}+(0-0)^{2}}$

$d=\sqrt{(6)^{2}+(0)^{2}}$

$dDC=6\ units$

Step $5$

<u>Find the perimeter of the triangle</u>

$P=AB+BC+AC$

substitute the values

$P=8\ units+6\sqrt{2}\ units+2\sqrt{10}\ units$

$P=22.81\ units$

therefore

The perimeter of the triangle is equal to $22.81\ units$

Step $6$

<u>Find the area of the triangle</u>

$A=\frac{1}{2}*base *heigth$

in this problem

$base=AB=8\ units\\heigth=DC=6\ units$

substitute the values

$A=\frac{1}{2}*8*6$

$A=24\ units^{2}$

therefore

the area of the triangle is $24\ units^{2}$

4 0

3 years ago

Read 2 more answers

David has 10 yd. Of material that he wiil cut into 15in. Thick mats. How many mats can David make?

Marysya12 [62]

<h2>Answer: He can make <u><em>24</em></u> mats.</h2>

Step-by-step explanation:

10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.

4 0

1 year ago

Can someone give me the answer and explanation

DENIUS [597]

Answer: A

Step-by-step explanation:

The total minus the cost of the eggs leaves you with just the total of the potatoes. Since we know that the total of the potatoes is the product of 5 bags, we can divide the total of the potatoes by 5 to find the cost of each bag of potatoes.

6 0

3 years ago

For each rectangle below, write a linear equation that represents the area y of the rectangle. Solve this system of two linear e

Hatshy [7]

(5,24)

The two areas are the same.

To find the area, we multiply the side lengths. Y=area

Rectangle 1: side lengths 4 and (x+1)

y=4(x+1)= 4x+4

Rectangle 2: side lengths 3 and (2x-2)

y=3(2x-2)= 6x-6

Since the two areas are same, we can conclude that

4x+4=6x-6

Now, simplify.

-2x=-10, x=5

Since x is 5, we can plug it into the equations to find y.

Option 1 with rectangle 1: y=4(5)+4, y=24

Option 2 with rectangle 2: y=6(5)-5, y=24

I graphed the linear equation on desmos.

5 0

2 years ago

Simplify (6x^-2)^2(0.5x)^4 show work please

tester [92]

(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4

4 0

3 years ago

Read 2 more answers