Answer:
- drink cost: $1.75
- slice of pizza cost: $2.25
Step-by-step explanation:
Let d and p represent the costs of a drink and a pizza slice, respectively. The two orders have a value ...
d + 3p = 8.50
2d + 2p = 8.00
Subtracting the second equation from twice the first gives ...
2(d +3p) -(2d +2p) = 2(8.50) -(8.00)
4p = 9.00 . . . . . simplify
p = 2.25 . . . . . . divide by 4
Solving the first equation for d and putting in the value, we have
d = 8.50 -3p = 8.50 -3·2.25 = 8.50 -6.75
d = 1.75
The cost of a drink is $1.75; the cost of a pizza slice is $2.25.
The answer is 1,500 pounds are in 3/4 of a ton.
Hope this helps.
Answer:

Step-by-step explanation:
A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,
And the factor is ,

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

<h3>
<u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
Answer:
432 in.^2
Step-by-step explanation:
The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.
We use the Pythagorean theorem,
a^2 + b^2 = c^2
(24 in.)^2 + b^2 = (30 in.)^2
576 in.^2 + b^2 = 900 in.^2
b^2 = 324 in.^2
b = sqrt(324 in^2)
b = 18 in
area of rectangle = length * width
A = 24 in. * 18 in.
A = 432 in.^2
Answer: 2538
Step-by-step explanation:
12*21/2
126
126/1*41/2
2538