A bag contains 9 blue marbles and 36 green marbles. If a representative sample contains 3 blue
marbles, then how many green marbles would you expect it to contain? Explain.

Answers

Answer 1

Answer:

It is 12 green marbles

Step-by-step explanation:

[tex] \frac{9}{3} = 3 \\ \\ \frac{36}{x} = 3 \\ x = \frac{36}{3} \\ x = 12[/tex]

I hope that is useful for you :)


Related Questions

HELP ASAP
High-quality goods and services are made available to consumers because of producers __________.


A.hold self-interests

B.would like to compete

C.look for subsidies

D.specialize in production



Please select the best answer from the choices provided



A

B

C

D

Answers

Answer:

I think it’s D.

Step-by-step explanation:

Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?

Answers

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

In which of the expressions below will x = 25? Select all that apply.

Answers

Answer:

Option C

Option D

Step-by-step explanation:

We have to calculate each expression to find for which one is the solution is x=25.

A)

[tex] \frac{x + 6}{3} = 10 \\ x + 6 = 10 \: . \: 3 \\ x + 6 = 30 \\ x = 30 - 6 \\ x = 24[/tex]

B)

[tex]x - 8 = 32 \\ x = 32 + 8 \\ x= 40[/tex]

C)

[tex]6x - (15 + 4x) = 35 \\ 6x - 15 - 4x = 35 \\ 2x = 35 + 15 \\ 2x = 50 \\ x = \frac{50}{2} \\ x = 25[/tex]

D)

[tex] \frac{3x}{5} = 15 \\ 3x = 15 \: . \: 5 \\ 3x = 75 \\ x = \frac{75}{3} \\ x = 25[/tex]

E)

[tex]4(x - 18) = 12 \\ x - 18 = \frac{12}{4} \\ x - 18 = 3 \\ x = 3 + 18 \\ x = 21[/tex]

Use the distributive property to simplify this expression
-9(n-4)

Answers

Answer:

-9n + 36

Step-by-step explanation:

1. -9(n - 4)    -Distribute

2. -9n + 36  -Answer

[tex]\huge\fbox{\sf{Answer:~~{\boxed{-9n+36}}}}[/tex]

Step-by-step explanation:

Hi there!

Let's simplify this expression. It's easy, because all we have to do is "distribute"  -9:

[tex]\bold{-9(n-4)}[/tex]

[tex]\bold{-9n+36}[/tex]

Hope it helps!

#[tex]\rm{HaveAnAmazingDay:)[/tex]

~ [tex]\sf{Just~a~teenage~girl~willing~to~help[/tex]

[tex]\bold{Besties4Ever:-):-):-)}[/tex]

10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A

Answers

Answer:

They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B

Step-by-step explanation:

Please help! I’ll give brainliest

Answers

Answer:

D

Step-by-step explanation:

D


What is the area of the triangle pictured below?
3
13
5
11
PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2145

The way that you find an area of a triangle is by using
A= basexhight divided by 2
If you use that, you will get your answer

El Sr. Davis compra 30 entradas para que el club de teatro asista a una obra. Las entradas cuestann dólares cada una, por un total de $360.
¿Cuál ecuación se puede usar para hallar n?
A 30-n=360
B. n=30 = 360
C. 360 x 30 =n
D. 360 x n = 30
OE 30 x n = 360

Cual es ?

Answers

Answer:

I think C

hi how are you

gdjdthnd

Given the two dilated figures, what is the length of AB

Answers

I think the answer is B

sorry if I am wrong

-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?

Answers

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

Which of these might describe expenses for a student? Select all that apply.

donations
food
shoes
allowance
savings
gift received

Answers

Answer:

Foods and shoes thats it

Step-by-step explanation:

help please and ty have a good day ! <3

Answers

Answer:

Total square inches glass need = 432 inch square

Meter square paint need = 36.5 meter square

Step-by-step explanation:

Given:

Length of rectangular window = 24 inch

Width of rectangular window = 18 inch

Length of parallelogram = 7.3 meter

Height of parallelogram = 5 meter

Find:

1. Total square inches glass need

2. Meter square paint need

Computation:

Total square inches glass need = Area of rectangle window

Area of rectangle window = l x b

Area of rectangle window = 24 x 18

Area of rectangle window = 432 inch square

Total square inches glass need = 432 inch square

Meter square paint need = Area of parallelogram

Area of parallelogram = Base x Height

Area of parallelogram = 7.3 x 5

Area of parallelogram = 36.5 meter square

Meter square paint need = 36.5 meter square

What is the perimeter of this parallelogram? ​

Answers

Answer:

24 mm

10 + 10 + 2 + 2

the answer is 24mm for the perimeter of the parallelogram

An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
(1 L = 1,000 mL)

Answers

Answer:

2,370 mL

Step-by-step explanation:

1000mL = 1 L, so I multiplied 1000 by 2.37

If they ask for it to be set up as a proportion, I would write 1/1000 = 2.37/x and cross multiply. x = 2,370

Write the decimal as a fraction or mixed number in lowest terms.

1.01 plz no links

Answers

Answer:

1/100

Step-by-step explanation:

Hope it helps

Please brainliest

what is 47/50 as a percent

Answers

94%

47/50 × 100 = 47 ×2 = 94 %

Answer:

94%

Step-by-step explanation:

Basically you need to divide the numerator (47) by the denominator(50). Then after you do that you will find yourself with a decimal of 0.94. lastly multiply your decimal by 100 to get your final answer, which is 94%.

The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A line plot named "Pumpkin Weights" shows data from 6 to 14 pounds in intervals of 1 pound. 6 has 3 dots. 8 has 5 dots. 9 has 1 dot. 10 has 7 dots. 12 has 4 dots. 13 has 2 dots. 14 has 1 dot. A baker purchases all of the pumpkins to make pies. If she uses a $100 bill to pay for the pumpkins, how much change will she receive? Enter your answer in the box. $

Answers

Answer:

The answer is 32.5

Step-by-step explanation:

First start with (6x3) + ( 8 x 5 ) + ( 9 x 1 ) + ( 10 x 7 ) + ( 12 x 4 ) + ( 13 x 2 ) + ( 14 x 1 ). This equals 225 pounds for all of the pumpkins. The baker buys all of them so multiply 225 by 0.30 since each pound costs 0.30. 225 x 0.30 = 67.5 and the baker pays a 100 dollars so 100 - 67.5 = 32.5. The answer is 32.5.

P.S: I has this same question and 32.5 was correct. PLZ give me Brainliest. Thank you!  

What is the ratio of the areas of AABC to AA'B'C' ?


Help please I only have 36 minutes left

Answers

According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.

I can't remember how you put it into the ratio form, but I think its 1:4??????

If x = 2, y = 3 and z = 4, calculate the value of each of the following algebraic expression: 2z - 3x =

Answers

Answer:

the answer is 2

Step-by-step explanation:

2(4)-3(2)=

8-6=2

Solve the equation above for X

Answers

x = 4
hope this helps

Answer:

x=4

Step-by-step explanation:

Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8

8*1/8x=1/2*8

giving you 1x=4

The question is in the screenshot.

Vertex:
Axis of Symmetry:
Y-Intercept:
Domain:
Range:
Does it open up or down?
Does it have a max or min?
Roots: ( ) and ( )?

Answers

you can use socratic for that

HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!

Answers

The points are
(1,0)
(3,0)
(1,-2)
(5,-2)

put these points on the graph

A frog can hop at a maximum speed of about 60 feet every 4 seconds. How far can the frog go in 30 seconds?​

Answers

Answer:

450 feet

Step-by-step explanation:

60ft = 4 seconds

x ft = 30 seconds

(cross multiply)

60 * 30 = 4x

1800= 4x

(divide both sides by 4)

x= 1800/4= 450

Answer:

ur answer would be 450 feet

Step-by-step explanation:

srry if wrong hope this helps<3

I need help on this

Answers

Blue 2/10
Reds 4/10
Greens 3/10
Yellow 1/10
Not blue 8/10
Hope this is right

Help me please I don’t know the answer

Answers

(1.9x1)+(1.9x5.6)=12.54
The answer is 12.54 cm^2 (the second option)

4(8x+6)-2=22
Please help​

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

0/32

Step-by-step explanation:

4(8x+6)-2=22

32x+24-2=22

32x+22=22

32x=22-22

32x=0

x= 0/32

Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?​

Answers

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

She is indeed correct I agree with the other person

NEED HELP ASAP (will give 10 points)

Answers

Answer:

Overuse of natural resources would not be a benefit, since it isn't a good to overuse something

PLSSS HELLLLPPPP. MEEee

Answers

Answer:

B

Step-by-step explanation:

Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B

please help with this one. I will give brainliest!!

Answers

Answer: 78.54

Step-by-step explanation:

Answer:

31.4 cm²

Step-by-step explanation:

10*3.14=31.4²

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