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2 years ago

Find the unit price. 14 ounces of canned corn for $1.96

Mathematics

1 answer:

MakcuM [25]2 years ago

6 0

$27.44 USD. Would be the correct answer.

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The word decreased indicates that a negative internet should be used

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3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

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3 years ago

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Answer:

A and B

Step-by-step explanation:

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4 years ago

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Andrews [41]

Answer:

y=5

Step-by-step explanation:

The answer is 5 because that sign around the -5 is the absolute value sign. What the absolute value sign does is it measures the distance from 0 the number is. Since the number -5 is 5 units away from the number 0, then y=5.

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3 years ago

A TRAILMIX RECPE CALLS FOR 1/3 POUND OF MIXED NUTS, 4/15 POUND OF RAISINS, AND 2/5 POUNDS OF GRANOLA. WHAT IS THE RATIO OF RAISI

allochka39001 [22]

Find the ratio of 4/15 lb to 1/3 lb:

4
--
15
-------
1
--
3

Invert the divisor (1/3) and multiply:

4 3
-- * ---- = 4:5 (this is the desired ratio)
15 1

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3 years ago

Find the unit price. 14 ounces of canned corn for $1.96 ​

Find the unit price. 14 ounces of canned corn for $1.96