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Lisa [10]
2 years ago
11

A bakery asks 75 customers to vote for a new bagel flavor. Onion flavor receives 33 votes. Cheddar flavor receives 42 votes. Use

this information to answer the questions below. What fraction shows the proportion of customers who voted for cheddar flavor? What percent of customers voted for cheddar flavor?
Mathematics
1 answer:
m_a_m_a [10]2 years ago
8 0

Using proportions, it is found that:

  • The fraction that shows the proportion of customers who voted for cheddar flavor is \frac{42}{75}
  • 56% of customers voted for cheddar flavor.

  • A proportion is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • A percentage is the <u>proportion multiplied by 100%</u>.

In this question, 42 out of 75 customers voted for the cheddar flavor, hence:

p = \frac{42}{75}

That is, the fraction that shows the proportion of customers who voted for cheddar flavor is \frac{42}{75}

The percentage is:

\frac{42}{75} \times 100\% = 56\%

56% of customers voted for cheddar flavor.

To learn more about proportions, you can take a look at brainly.com/question/24372153

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
Evaluate the expression 3x2t when t is 1
JulsSmile [24]

Hey there!

The answer to your question is 6.

To solve this equation when t = 1, we can simply plug t into the equation.

3 x 2(1)

3 x 2

5

Hope this helps your assignment! Have a great day! Good luck!

3 0
2 years ago
PLEASE HELP ME!! I WILL GIVE YOU BRAINLIEST AND 50 POINTS!! AND DON'T JUST PUT YES, NO AND THEN NUMBERS, *USE COMPLETE SENTENCES
viva [34]

Answer:

John Muir

John Muir was an American naturalist born in Scotland on April 21, 1838. Step-by-step explanation:

8 0
2 years ago
is it possible to draw two congruent triangles so that one triangle is an acute triangle and one triangle is right triangle? why
BaLLatris [955]
No because then they would be different triangles.  Congruent triangles are triangles that are the same

I hope I've helped!
4 0
2 years ago
Lxl=10 what is the answer
Svetradugi [14.3K]

Answer:

10

Step-by-step explanation:

The absolute value of 10 is 10. Algebraically speaking, the absolute value of a number x takes x and makes it positive.

6 0
2 years ago
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