A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?

At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?​

Answers

Answer 1

Answer:

One: 58.5

Two 36.6

Step-by-step explanation:

One

20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.

20 students * 52 = 1040

The total score of all 40 students was 1300 + 1040 = 2340

The average for the entire class was 2340 / 40 = 58.5

Two

This question is done almost the same way.

Supposes the total number of members is 100. That means that 28 of them are men

28 * 33 = 924     This is the total age for the men

100 - 28 = 72        Out of 100, 72 of the people there are women.

72 * 38 = 2736

The total number of years of all of the members is

924 + 2736 = 3660      

The average age of all members is 3660/100 = 36.6

Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.

The average will make it come out the same.


Related Questions

The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?

Answers

Answer:

18 gallons

Step-by-step explanation:

We'll find out how much of the total container was lost when pouring out by subtracting 2/3 from 1/2.

2/3 = 4/6

1/2 = 3/6

4/6 - 3/6 = 1/6

1/6 of the total amount the container could hold was lost when 3 gallons was poured out. This means that 1/6 of the container equals to 3 gallons. We can then simply multiply 3 by 6 to find the number of gallons of liquid the container can hold.

3 * 6 = 18 gallons

Checking my answer:

18 * 2/3 = 6 * 2 = 12

12 - 3 = 9

1/2 of 18 = 9

This means that our answer is correct.


marked at a regular price of $20. What is the percent decrease in the price
A pair of sunglasses is on sale for $17. Last week, the sunglasses were
of the
sunglasses?

Answers

Answer:

15%

Step-by-step explanation:

20-17 = 3

What percent is 3 of 20?

X/100 = 3/20 (cross multiply)

(3*100) / 20 = 15%

Please answer this math riddle for me ASAP!!! please
I am a four-digit number. My first number has no use because the number would be the same without it. My second and third numbers are mirror images and my fourth number is half of my second number.

Answers

i think maybe 0693 this is just a guess though

Answer:

0884

Step-by-step explanation:

To save for retirement at age 27 you start depositing $275 at the end of each month in an IRA that pays 5.75% compounded monthly.

How much will you have in the IRA if you plan to retire at 65?

I need also to find the interest. ​

Answers

Answer:

81972

Step-by-step explanation:

Help this help

Solve for x: 8 (3x + 10) = 28x - 14 - 4x ​

Answers

Answer:

[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]

The Student Council is selling raffle tickets to raise money for the Winter Dance. They have a total of 275 tickets to sell and are told they must sell at least 82% of them to raise enough money. How many do they need to sell?​

Answers

Answer:

226

Step-by-step explanation:

To find the percentage of a given value, firstly convert to a decimal by dividing by 100:

82 ÷ 100 = 0.82

Now, multiply this decimal by the number of tickets:

275 x 0.82 = 225.5

Because you can't sell half a ticket, round up.

This means the total of tickets they need to sell is 226.

Hope this helps!


What number is 7 times as much
as 9?


Answers

Answer:

63

Step-by-step explanation:

9•7=63

What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME

Answers

The answer is -56. For future problems, I highly recommend the calculator app “Desmos”, and writing the equation out in the calculator, and then replacing X values with the number (-8).

Answer:

-56

Step-by-step explanation:

Equation = 7x( 3 + x/4)

f(x) = 7x( 3 + x/4)

f(-8) = 7( -8 )( 3+ -8/4 )

f(-8) = -56 ( 3+ ( - 2 ))

f(-8) = -56( 1 )

f(-8) = -56

-Chetan K

5) What is the slope of the line?
50 POINTS PLS HELP ASAP AND THANK YOU

Answers

Answer:

The answer is C.

The difference between a number and −22 is equal to the number times 11.

Answers

Answer:

The equation looks like this x-(-22)=11x

The answer for the equation is x=11/5

Step-by-step explanation:

Difference between a number (x) and -22

Difference means subtract so x subtracted by -22

x-(-22)

Is equal to: which means you put a =

the number times 11

number is x so x times 11 is 11x

The equation looks like this:

x-(-22)=11x

simplify

x+22=11x

Move x to the other side:

22=10x

Divide 10 on both sides:

x=22/10

Simplify

x=11/5

Hope this helps!

Answer:-11/5

Go Step-by-step-

The difference... -

between a number and 22.... n-22

equal to number times 11...

n-22=11n

subtract n

-22=10n

x=-11/5

4 (m + 7) Which expression(s) is (are) equivalent to ? Select ALL that apply.

Answers

Answer:

here's your answer tho: ∞

Step-by-step explanation:

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

What is 317.466 ounces or 19.8 pounds

1kg in household measurement is equal to 35.274 ounces.

So, 35.274*9= 317.466 ounces

317.466/16= 19.8 pounds

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

someone plzzzzzzz help me will make brainlest

Answers

Answer:

[tex]31\frac{2}{3}[/tex]

Step-by-step explanation:

Hope this helps.

Have a great day!

9514 1404 393

Answer:

  31 2/3

Step-by-step explanation:

No doubt you have been shown at least a couple of different strategies for multiplying mixed numbers.

1) Use the distributive property.

  10(3 1/6) = 10(3) +10(1/6) = 30 +10/6 = 30 +5/3 = 30 + 1 2/3 = 31 2/3

__

2) Use improper fractions.

  10(3 1/6) = 10(19/6) = 190/6 = 95/3 = 31 2/3

The area of a square equals the square of a length of the side of the square. The perimeter equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65 while the difference in their areas is 33. Find the sum of their perimeters.

The sum of the perimeters is [x]

Answers

Answer:Each side of x would be 7 and each side of y would be 4.

Step-by-step explanation:

Can someone explain this to me on how you do this by step from step?

Answers

Answer:

5% of $5.00

[tex] \frac{5}{100} \times 5.00[/tex]

[tex] = \frac{1}{4} [/tex]

Please Help! I will give you a lot of points and the brainiest!

A married man filing separably with a taxable income of $130,000. Compute the tax owned (look at chart)

--PLEASE show work

Answers

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.

PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND 100pts!!!!!!!!!!!!!!!!!!!!!!!!!!

he following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.

Which of the following data sets is represented in the histogram?

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}

Answers

Answer:

will this help?

Answer:

A.

Step-by-step explanation:

trying to figure this out

Answers

The answer is -5 because -15 plus 10 is -5

How do I write a percent as a fraction in simplest form? Please explain step by step to get marked

Answers

Step-by-step explanation:

Divide the percentage by 100. E.g 74%=64/100

Then simplify the newly made fraction,

Find the common factors,

E.g 64/100

Both can be divided by 2

32\50

Repeat simplifying step...

16\25

Till there are no more common factors

and that's the final answer...

Hope you understand, if not leave a comment and I'm ready to help, please mark BRAINLIEST.

Find an expression which represents the difference when (-9x +9) is subtracted
from (x + 8) in simplest terms.

Answers

Answer:

10x - 1

Step-by-step explanation:

(x + 8) - (-9x + 9) = x + 8 + 9x - 9 = (x+9x) + (8-9) = 10x -1

The equivalent Expression is (10x- 1).

What is Expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

For example,  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

Given:

We have to find the difference when (-9x +9) is subtracted from (x + 8)

so, (x + 8) - (-9x + 9)

= x + 8 + 9x - 9

= (x+9x) + (8-9)

= 10x -1

Hence, the equivalent Expression is (10x- 1).

Learn more about Expression here:

https://brainly.com/question/14083225

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There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

What is the domain of the graph

Answers

Answer:

it D

Step-by-step explanation:

Using 1 Ib = 0.45 kg, answer the following questions:
5. A woman buys 2 kg of tomatoes. How many pounds of tomatoes does she buy?

6. Butter is packed in 250 g packs. What will the mass, in pounds, of a pack of butter?

7. A shopper buys 5 Ib of apples. How many kilograms of apples are purchased?

8. A consignment of steel weighing 5 tonnes is delivered to a factory; how many tons of steel are
delivered? (Note: 1 tonne = 1000kg) (metric unit) and (1 ton = 1016 kg)

Answers

Answer:

Step-by-step explanation:

2 kg / 0.45 = 4.4 lb

0.25 kg / 0.45 = 0.56 lb

5 lb * .45 = 2.25 kg

5000 / 1016 = 4.92 ton

Has a slope of 4 and passes through (-2, 4)

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

m = slope = 4

substitute the point (-2, 4) as (x, y)

4 = 4(-2) + b

4 = -8 + b

12 = b

Hope this helps! Pls give brainliest!

The equation of line is y= 2x+ 8.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Slope= 2

and, Passes through (-2, 4)

So, using the slope- intercept form is

y= mx+ b

4 = 2(-2)+ b

4 = -4 + b

b=8

And, the equation of line is

y= mx+ b

y= 2x + 8

Hence, the equation of line is y= 2x+ 8.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

what is the total with tax? price? $62.79 tax 9.5 percent​

Answers

Answer:

$68.76

Step-by-step explanation:

price: $62.79

tax percent: 9.5%

total with tax : $62.79 + 9.5% of $62.79

= $68.755

Help if so OMH thanks

Answers

Answer:

$2.80

Step-by-step explanation:

24.40-13.20=11.20

11.20/4=2.8

Please answer both of the question in the photo plsss

Answers

Answer:

-12

-18

Step-by-step explanation:

-n+8=20

-n=20-8

n=12

-36=n-18

-n=-18+36

n=-18

Please he.l I got 10 min

Answers

Answer:

B

Step-by-step explanation:

the line pass through the point (2.52) and (14.78)

So k= 78-52 =26 =

4-2 =2

Yes ahh I see so u have to, and then u solve for x while substituting

solve pls brainliest

Answers

1- 192
2-36

1- 168(original altitude)
+360(because the question says the hill is ______ 360 feet higher than checkpoint 2)
192


2- 168(checkpoint 2)
-132( checkpoint 4)
______
036

someone please help with this question for brainliest !!!!:)

Answers

Answer:

d)

Step-by-step explanation:

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.

our r here is -1 to get x + 1.

f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2

the remainder is -2.

and since the remainder is <> 0, the binomial cannot be a factor.

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