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3 years ago

What is the solution to this system of equations? x − 2y = 15 2x + 4y = -18

1 answer:

3 0

Use the subtraction method.
2 (x - 2y = 15) multiply top equation by 2 so we can subtract

2x - 4y = 30
2x + 4y = -18 (subtracted, we get 4x = 12...divide by 4...x = 3)

place the value for X into an original equation and solve for Y.

2(3) + 4y = -18
6 + 4y = -18
-6 -6
4y = -24 (divide by 4)

y = -6 Solution......(3, -6)

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In a fifth grade class 4/5 of the girls have brown hair. Of the brown-haired girls, 3/4 of them have long hair. Of the girl with

nikdorinn [45]

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3 years ago

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Mark's school is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 4 senior tick

erica [24]

The cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

Solution:

Let "a" be the price of each senior ticket

Let "b" be the price of each child ticket

On the first day of ticket sales the school sold 4 senior tickets and 4 child tickets for a to total of 68

Thus a equation is framed as:

4 senior tickets x price of each senior ticket + 4 child tickets x price of each child ticket = 68

$4 \times a + 4 \times b = 68$

4a + 4b = 68 ---------- eqn 1

The school took in 120 on the second day by selling 12 senior tickets and 5 child tickets

Similarly, we frame a equation as:

$12 \times a + 5 \times b = 120$

12a + 5b = 120 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 3

12a + 12b = 204 -------- eqn 3

Subtract eqn 2 from eqn 3

12a + 12b = 204

12a + 5b = 120

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7b = 84

b = 12

Substitute b = 12 in eqn 1

4a + 4(12) = 68

4a + 48 = 68

4a = 20

a = 5

Thus cost of each senior ticket is $ 5 and cost of each child ticket is $ 12

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3 years ago

A recipe for 1 loaf of banana bread uses 34 cup of bananas.

jonny [76]

Answer: yes

Step-by-step explanation:

Each loaf uses 34 cups

1 loaf 114-34= 80 cups left

2nd loaf 80-34= 46 cups left

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3 years ago

How can you use the properties of operations to evaluate this expression? 18 + 4(28). Explain.

maxonik [38]

Answer:

130.

Step-by-step explanation:

18 + 4(28(

= 18 + 4 * 28 Multiplication is done before addition so we have:

18 + 112

= 130.

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3 years ago

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A piano teacher charges students $20.25 each month, plus $5.25 per hour for lessons.

Tomtit [17]

Answer:

99$

Step-by-step explanation:

you take the 5.25$ per hour and multiply it by the 15 hours, and then you add the 20.25$ per month

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3 years ago

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