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2 years ago

Rosa can make 8 dozen cupcakes in 3 hours. How many dozen cupcakes can she make if she has 10 1/2 hours to bake the cupcakes

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

7 0

Answer: 28 dozen

Step-by-step explanation:

If 8 dozen cupcakes can be made in 3 hours:

8/3=2.6666...

2.6666... x 10.5= 28

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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.

4 0

2 years ago

Select the correct answer from each drop-down menu

N76 [4]

Lucy borrowed the most books in August (19 is the highest number in the graph.) There are 6 months in which she borrowed fewer than 10 books (February, May, June, July, November, December.)
Tip: do not click on the links, it’s a scam. Also an easier way to get answers quicker is post the picture and then briefly explain the post and not the entire question. :) I hope that helps. Have a great day!

7 0

2 years ago

Read 2 more answers

Round 2,641 to the nearest thousand. Round 2,641 to the nearest thousand?

Elenna [48]

Answer:

2641

we round off 2

then we get,

2641=3000

8 0

2 years ago