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4 years ago

2 Points

Mathematics

1 answer:

LiRa [457]4 years ago

5 0

Answer:

A. a = $3, p = $6

Step-by-step explanation:

Let the cost of a bucket of apple=a

Let the cost of a bucket of peaches=p

6 buckets of apples and 4 buckets of peaches costs $42.

6a+4p=42

8 buckets of apples and 2 buckets of peaches costs $36.

8a+2p=36 (Multiply by 2 to make the coefficient of p 4)

16a+4p=72

We solve the two resulting equations simultaneously

6a+4p=42

16a+4p=72

Subtract

-10a=-30

Divide both sides by -10

a=$3

Next, we substitute a=$3 in any of the equation to solve for p

6a+4p=42

6(3)+4p=42

4p=42-6(3)

4p=42-18

4p=24

Divide both sides by 4

p=$6

Therefore, a bucket of apple costs $3 and a bucket of peaches costs $6.

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3 years ago

A jar holds 128 fluid ounces of juice. The label says the jar has 16 servings. How many fluid ounces are needed for 80 servings?

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3 years ago

Read 2 more answers

3x^2 + 4x = -8<br> solve using quadratic formula

Firdavs [7]

Use the quadratic equation to solve this (image of the quadratic equation is below)

Remember that quadratic functions are set up like so:

$ax^{2} +bx +c = 0$

To make the equation 3x² + 4x = -8 into a quadratic function you must bring -8 to the left side of the equation so it equals zero. To do this add 8 to both sides

3x² + 4x + 8= -8 + 8

3x² + 4x + 8 = 0

That means that in this equation...

a = 3

b = 4

c = 8

^^^Plug these numbers into the quadratic equation and solve (Keep in mind that +/- is ± )

$\frac{-4+/-\sqrt{(4)^{2}-4(3)(8)}}{2(3)}$