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Arada [10]
3 years ago
15

jim ordered a sports drink and three slices of pizza for $8.50. His friend ordered two sports drink and two slices of pizza for

$8.00. applying system of equations
Mathematics
1 answer:
inna [77]3 years ago
4 0

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.

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Answer:

x= 17/15

Step-by-step explanation:

−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x

8 0
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Julli [10]

Answer:

Your answer for the above equation is D

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Are all quadrilaterals parallelograms?
kondor19780726 [428]

Answer:

No, but all parallelograms are quadrilaterals.

Step-by-step explanation:

Take a trapezoid, for example. A trapezoid is a quadrilateral because it has 4 sides, but it does not contain 2 sets of parallel sides thus making it not a parallelogram.

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Can some one help me with this and explain it?​
Tresset [83]

Answer:

A. (3,2)

Step-by-step explanation:

One way to solve without graphing

equate both equations to each other:

2x - 4 =  - x + 5

add x on both sides:

2x + x - 4 = 5

add 4 on both sides:

2x + x = 5 + 4

collect like terms:

3x = 9

divide 3 on both sides, so

x = 3

now that we have x, go back to any one of the equations and substitute x=3 to find y. I'll use y=2x-4

y = 2x - 4

sub x=3

y = 2(3) - 4

2 × 3 is 6

y = 6 - 4

y = 2

we now have x and y, so the coordinates are (3,2)

If you want to use the graphing method, substitute in x values of your choice, for example -2 to 2 into each equation to find y and when there is a same coordinate in both equations that is the solution.

y = 2x - 4

when x is -2, y = 2(-2)-4 = -8. (-2,-8)

when x is -1, y = 2(-1) - 4= -6. (-1,-6)

when x is 0, y = 2(0)-4 = -4. (0,-4)

when x is 1, y = 2(1) - 4 = -2. (1,-2)

when x is 2, y = 2(2) - 4 = 0. (2,0)

when x is 3, y = 2(3) - 4 = 2. (3,2)

do the same thing of substituting to the other equation

y = -x + 5

when x is -2, y is 7 (-2,7)

when x is -1, y is 6. (-1,6)

when x is 0, y is 5. (0,5)

when x is 1, y is 4. (1,4)

when x is 2, y is 3. (2,3)

when x is 3, y is 2. (3,2)

plot these coordinates on a graph

they both have same x value (3) and same y value (2)

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2 years ago
A total of 6.825 inches of snow fell during a storm the snow fell at an average rate of 1.3 inches per hour for how many hours d
ziro4ka [17]
If the snow falls at a rate of 1.3 inches per hour, dividing 6.825 into 1.3 should give you your answer.
6.825/1.3 = 5.25
Therefore, the snow was falling for 5.25 hours, or 5 hours and 15 minutes.
8 0
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