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Anestetic [448]
3 years ago
10

Mr. Hill's class has 30 students. Mrs. Salier's class has 24 students. If each class is broken into groups of the same number of

students, what is the greatest number of students in a group?.
Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

6

Step-by-step explanation:

This is GCF or greatest common factor. The gcf of 30 and 24 is 6

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The original price of a coat is $90. It is on sale for 20% off. How much will you pay if you buy the cost during the sale?
ziro4ka [17]

Answer:

72$

Step-by-step explanation

How to insert in a calculator 90-20%= 72

How to take 20% from a price

Divide the original price by 5. <em>18</em>

Subtract this new number from the original one. <em>90 - 18 </em>

The number you calculated is the discounted value. <em>90 - 18 = </em><u><em>72</em></u>

6 0
3 years ago
Read 2 more answers
PLEASE ANSWER ASAP *picture attached*
SVETLANKA909090 [29]

Answer:

x^{2} -2x-8

Step-by-step explanation:

(f g)(x) is equal to f(x) times g(x).  So you just need to multiply both of the equations together.  Use the foil method to multiply (x+2)(x-4)

(fg)(x)=f(x)*g(x)\\\\(fg)(x)=(x+2)(x-4)\\\\(fg)(x)=x^{2} -4x+2x-8\\\\(fg)(x)=x^{2} -2x-8\\

I have attached an image to better explain the foil method

4 0
4 years ago
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation
aliina [53]

Answer:

a.  X~N(2,885, 651)

b.  0.086291

c.  0.00058

d.  3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting  the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

P(X

#substitute the given values in the formula to solve for P:

P(X

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058

Hence, the proportion of customers consuming over  5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0
4 years ago
Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,
Sphinxa [80]

Answer:

  57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

  y = kx

It can be found from values of x and y using ...

  k = y/x

For the given values, it is ...

  k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

5 0
4 years ago
What is the greatest common factor of 30, 48, and 2?
arlik [135]

Answer:

<h3>The greatest common factor of 30, 48 and 2 is 2</h3>

Step-by-step explanation:

<h2>I HOPE IT HELPS </h2>
7 0
3 years ago
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