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3 years ago

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A. Simplify the equation that represents the value of the coins. Make it an equation that expresses the value of quarters, dimes

, and nickels. B. Is it possible to have exactly 60 pennies in $1.87? Explain.

1 answer:

sp2606 [1]3 years ago

3 0

There is a total of 13 combinations.

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Solve the equation for y. <br>y-4=1/2(x-8)

Lostsunrise [7]

All that's necessary is to add 4 to both sides of the equation. This gives

... y = 1/2(x -8) +4

If you like, you can simplify this by eliminating the parentheses and collecting terms.

... y = 1/2·x -4 +4

... y = (1/2)x

4 0

3 years ago

In Aunt Melly's attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant ha

anzhelika [568]

Answer:

Spiders=8

Ants=12

Step-by-step explanation:

Spider(s)=8 legs

Ants(a)=6 legs

Total legs=136

Total heads=20

8s+6a=136 (1)

s+a=20 (2)

From (2)

s=20-a

Substitute 20-a into (1)

8s+6a=136

8(20-a)+6a=136

160-8a+6a=136

160-2a=136

-2a=136-160

-2a=-24

a= -24/-2

a=12

Substitute a=12 into (2)

s+a=20

s+12=20

s=20-12

s=8

3 0

3 years ago

An open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the

natka813 [3]

Please find the attachment.

Let x represent the side length of the squares.

We have been given that an open box is made from an 8 by ten-inch rectangular piece of cardboard by cutting squares from each corner and folding up the sides. We are asked to find the volume of the box.

The side of box will be $8-x-x=8-2x$ and $10-x-x=10-2x$ .

The height of the box will be $x$ .

The volume of box will be area of base times height.

$\text{Volume of box}=(8-2x)(10-2x)\cdot x$

Now we will use FOIL to simplify our expression.

$\text{Volume of box}=(80-16x-20x+4x^2)\cdot x$

$\text{Volume of box}=(80-36x+4x^2)\cdot x$

Now we will distribute x.

$\text{Volume of box}=80x-36x^2+4x^3$

$V(x)=80x-36x^2+4x^3$

Therefore, the volume of the box would be $V(x)=80x-36x^2+4x^3$ .

6 0

3 years ago

PLEASE ANSWER IMMEDIATELY <br>find the area of the following shape

STatiana [176]

Answer:

i think the answer is 51

6 0

3 years ago

If triangle ABC Is dilated by a scale factor of 2.5 with a center of dilation at vortex be how does the area of A’B’C compared w

arlik [135]

Answer:

The area is 6.25 times greater.

Step-by-step explanation:

Each side of the triangle of the dilated triangle will be 2.5 times the length of the original sides.

The area will increase to 2.5^2 = 6.25 times.

7 0

3 years ago