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3 years ago

What value of y satisfies the system of equations {9x+2y=24y=6x+19? Enter your answer as the correct value for y, like this: 42

Mathematics

1 answer:

nignag [31]3 years ago

3 0

Answer:

Step-by-step explanation:

9x + 2y = 24 (A)

y = 6x + 19 ------ > y - 6x = 19 * (-2) -------> -2y + 6x = -38 (B)

(A) + (B)

15x = -14

x = -14/15

y = 6 * (-14/15) + 19 = -28/5 + 19 = 67/5

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A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou

Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

.30(15) + .05(10) = .20(25)

4.5 + .5 = 5

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Nastasia [14]

Answer:

y = 4 $(2)^{x}$

Step-by-step explanation:

For an exponential function in standard form

y = a $(b)^{x}$

To find the values of a and b, use ordered pairs from the table

Using (0, 4 ), then

4 = a $b^{0}$ ( $b^{0}$ = 1 ), so

a = 4

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Using (1, 8 ), then

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viktelen [127]

M - 30 = 10

so the number has to be 10 more than 30.

30+ 10 = m

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