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nataly862011 [7]
3 years ago
5

Aldrine is buying coffee for his coworkers. He orders small and large coffees. Small coffees

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

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Robert had two of rope he cut off eight inches how many inches does he have left
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Find the Area of the shaded part.
Westkost [7]

To find the area of the shaded part we have to subtract the rectangle area from the triangle area :

s =  \frac{1}{2}  \times (8x + 2)(6x) - (x)(3x + 1) \\

s =  \frac{1}{2}  \times (48 {x}^{2}  + 12x) - (3 {x}^{2}  + x) \\

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Have a great day ♡

4 0
2 years ago
Find three consecutive even integers such that the sum of the least integer and the middle integer is 3030 more than the greates
Genrish500 [490]
X = <span> least integer
x + 2 = </span><span>middle integer
x + 4 = </span><span>greatest integer

x + x + 2 - (x + 4) = 3030
2x + 2 - x - 4 = 3030
x - 2 = 3030
x = 3030 + 2  
x = 3032  </span>← least integer

middle integer = x + 2 = 3034

greatest integer = x + 4 = 3032 + 4 = 3036

Check:
3032 + 3034 = 6066
3036 + 3030 = 6066
6066 = 6066

3 0
3 years ago
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