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Artyom0805 [142]
3 years ago
9

Solve each formula for the specified variable​

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

\frac{A-2wh}{2(w+h)}=l

Step-by-step explanation:

We have to find the formula for the value of 'l'.

So, we will isolate 'l' on one side of the formula.

A = 2lw + 2lh + 2wh

A = 2l(w + h) + 2wh

A - 2wh = 2l(w + h) + 2wh - 2wh

A - 2wh = 2l(w + h)

\frac{A-2wh}{2(w+h)}=\frac{2l(w+h)}{2(w+h)}

\frac{A-2wh}{2(w+h)}=l

Therefore, formula for 'l' will be,

\frac{A-2wh}{2(w+h)}=l

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A games shop sells marbles
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3 years ago
Noah's Café sells special blends of coffee mixtures. Noah wants to create a 20-pound mixture with coffee that sells for $9.20 pe
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Answer:

Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds

Step-by-step explanation:

Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.

From the question, we know he wants to make 20 pounds of coffee

Thus;

x + y = 20 •••••••••••(i)

Let’s now work with the values

For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x

For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y

The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6

Thus by adding the two costs together we have a total of $139.6

So we have our second equation;

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From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

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x = 29.6/3.7

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