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lara [203]
4 years ago
13

A number is 6 greater than 1/2 another number. If the sum of the numbers is 21, find the numbers

Mathematics
1 answer:
Anna71 [15]4 years ago
6 0

Answer:

x=11, y=10

Step-by-step explanation:

x= 6+ (1/2)y

x+y=21

substitute the first equation into the second equation:

(6+ (1/2y)) + y =21

to get:

y=10

then to find x:

x+ 10 = 21

x=11

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Simplify the expression (6x^3/3x^4)^2<br> A. 12x^5/6x^6<br> B. 4/x^2<br> C. 2x^6/x^8<br> D. 2/x
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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
Mashutka [201]

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;

9.2x + 5.5y = 139.6 •••••••(ii)

From i, y = 20 - x

Let’s substitute this in ii

9.2x + 5.5(20-x) = 139.6

9.2x + 110 -5.5x = 139.6

9.2x -5.5x = 139.6-110

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Recall;

y = 20 - x

y = 20-8

y = 12 pounds

7 0
3 years ago
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