MATHEMATICS MIDDLE SCHOOL

The mean of the values in a data set is a. If each of the values in the data setwere multiplied by 7, what would be the mean of the resulting data?
A. 7a
B. 6a
C. a
D. 8a

Answers

Answer 1
Answer:

Answer:

Option A. 7a

Step-by-step explanation:

we know that

The mean of the data values is equal to the sum of the data values divided by the number of data values

Let

x ----> the sum of the data values

n ---> the number of data values

y ----> the mean of the data values

so

y=(x)/(n)

we have that

y=a

so

a=(x)/(n)

If each of the values in the data set  were multiplied by 7

we would have

The new mean is equal to

(7x)/(n)=7((x)/(n))=7a

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TRANSLATING WORDS TO EXPRESSIONS 1.One chair costs $25.50 more than twice as much a another one
2.The quotient of 8 times a number and 3
3.One bed costs $100 less than three times as much as another bed

You dont have to do all. Some will help

Answers

1)
y = 2x + 25.50
where x = the price of the first chair and y = the price of the second chair.

2)
y = 8x/3   OR   y = 8/3 x (eight thirds times x)

3) y = 3x - 100
where x = the price of the other bed and y = the price of the "one bed"

If you don't understand one of them, just ask for an explanation.

What number solves the equation 11x + 7 = 73?

Answers

you do 73 -7=66 then do 66รท11=6 with make x=6

Answer:

x=6

Step-by-step explanation:

11x + 7 = 73

11x+7-7=73-7

11x=66

11x/11=66/11

x=6

A spinner has 12 equal sectors with different letters for each sector Hamlet spins the spinner 5 times, and it stops at the letter "B" 4 times. If he spins the spinner a 10th time, what is the theoretical probability that this time it will stop at the letter 'B'?

Answers

The spinner has no memory. The probability of a 'B' is 1/12 or 8-1/3%. The first time, the 10th time, and the millionth time. No matter what has happened before.

The volume of a rectangular solid is 180 cubic centimeters. The length is 10 centimeters, and the width is 4 centimeters. Using the formula V= lwh, calculate the height.

Answers

V = 180 cm3
l = 10 cm
w = 4 cm
h = ?

V=lwh, so to get h, divide equation by lw, to get h=V/(lw).

h = 180/(10*4) = 4.5 cm

suppose you invest 2500 in an account paying 7.25% interest compounded annually find the balance after six years then after 25 years

Answers

y=2500(1+7.25%)^6 makes $3804.73
y=2500(1+7.25%)^25 makes $14383.76

An industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2:3:5, respectively, by weight. How many pounds of secret ingredient B are in a 42-pound (net weight) bucket of this cleaner?A. 4.2
B. 12.6
C. 14.0
D. 18.0
E. 21.0

Answers

Answer:  The correct option is (B) 12.6.

Step-by-step explanation:  Given that an industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2 : 3 : 5 respectively, by weight.

We are to find the number of pounds of the secret ingredient B that are in a 42-pound bucket of this cleaner.

Let the quantities of the ingredients A, B and C in the cleaner be 2x, 3x and 5x respectively.

Then, according to the given information, we have

2x+3x+5x=42\n\n\Rightarrow 10x=42\n\n\Rightarrow x=(42)/(10)\n\n\Rightarrow x=4.2.

Therefore, the quantity of the ingredient B is given by

3*4.2=12.6~\textup{pounds}.

Thus, option (B) is CORRECT.
The ratios add up to 10 so 42/10 is 4.2 and as b is 3parts you times 4.2 by 3 giving you 12.6
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