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Law Incorporation [45]
3 years ago
15

Find the value of two numbers if their sum is 21 and their difference is 5

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer: x = 13 and y = 8

Step-by-step explanation:

Two numbers must add to 21. We don't know them yet, so let's just use a placeholder for both of them for now.

x + y = 21

Their difference is five, meaning that if we subtract one from the other, we get five. Again, we don't know the numbers yet, so we'll add a placeholder for now.

x - y = 5

We can now solve a system of equations for x.

x = y + 5

y + 5 + y = 21

2y + 5 = 21

2y = 16

y = 8

x - 8 = 5

x = 13

So x = 13 and y = 8

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soldi70 [24.7K]

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

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8 0
3 years ago
what is the surface area of a rectangular prisim with a base length of 9 yd, base width of 7 yd,and a height of 4 yd?
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Answer:

254 yds²

Step-by-step explanation:

There are 6 faces of the prism we need to calculate the area of for a rectangular prism.

The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds²                 (9 x 7 = 63)

The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds²    (4 x 7 = 28)

The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds²     (9 x 4 = 36)

The total surface area is

2(63) + 2(28) + 2(36) = 254 yds²

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Answer:

Step-by-step explanation:

45 total hair bands

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