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ElenaW [278]
2 years ago
11

Peter processed two catering orders at the sandwich shop where he works. The first order was for 7 trays of club sandwiches and

10 trays of vegetarian sandwiches. That order cost $149. The second order, which cost $10, was for 1 tray of vegetarian sandwiches.
This situation is modeled by the matrix equation shown.

Determine the cost of a tray of club sandwiches and the cost of a tray of vegetarian sandwiches.

*show work please*
Mathematics
1 answer:
timama [110]2 years ago
4 0
So if one tray of vegetarian sandwiches cost $10, that means that 10 trays of vegetarian sandwiches would cost $100 (10x10)

Going back to the first order, if we know that 10 trays of vegetarian sandwiches costs $100, then we can subtract that from our overall of $149, leaving us with the cost of 7 trays of club sandwiches

$149 - $100 = $49

therefore, $49 is the cost of 7 trays of club sandwiches

to find the cost of 1 tray, we need to divide $49, by 7

$49 / 7 = $7

therefore, one tray of club sandwiches costs $7 and one tray of vegetarian sandwiches costs $10

hope that was helpful :)




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Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. She is _____ per
valkas [14]

Answer:

Tiffany is 34% closer to the school.

Step-by-step explanation:

Given the statement: Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away.

She lived away from the school = 15 km

as, she moved 9.9 km away.

Now, the distance closer to school from where she lived = 15 -9.9 = 5.1 km

To, find how much percent she is closer to school.

Percent states that a number or ratio expressed as a fraction of 100.

percent = \frac{5.1}{15} \times 100 = \frac{51 \times 100}{150} = \frac{51 \times 10}{15}

Simplify:

percent closer to school = 34%

Therefore, she is 34% closer to the school.



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3 years ago
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Sedaia [141]

The height of the barrel is 6 feet.

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What percent of 320 is 64
jekas [21]

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Step-by-step explanation: Hope it helps:)

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3 0
3 years ago
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What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

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Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

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