Sophie found the volume of the figure below by using the steps shown.
A rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters. A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Total Volume = B h + one-third B h = 4 (21) (28) + one-third (21) (28) (30) = 2,352 + 5,880 = 8,232 cubic millimeters.

What mistake, if any, did Sophie make?
Sophie determined the volume correctly.
Sophie used the wrong formula for the total volume.
Sophie used the wrong height for the pyramid.
Sophie did not apply the order of operatio

Answers

Answer 1

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

Answer 2

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

To learn more about the volume visit:

https://brainly.com/question/13338592.

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Related Questions

5/6x+2/3x+4=7

What is x and I REALLY REALLY NEED AN EXPLANATION

Answers

5/6x + 2/3x + 4 = 7

5/6x + 2/3x = 9/6x

9/6x + 4 = 7

9/6x + 4 - 4 = 7 - 4

9/6x = 3

9/6 in decimal form is 1.5 thus

1.5x / 1.5 = 3/1.5

x = 2

3. How many kilograms are equal to
5,000 grams?

A 500 kilograms
B 50 kilograms
C 5 kilograms
D 0.5 kilogram

Answers

Answer:

C.) 5 kilograms

Step-by-step explanation:

1000 grams = 1 kilogram

To convert grams to kilograms we divide by 1000

5000g divided by 1000 kg = 5kg

May I Please Have Brainliest I'm trying to achieve a new rank

5,000 grams is equal to 5,000/1000 = 5 kilograms. The correct option is C

What is kilograms ?

A unit of measurement used to describe mass or weight is the kilogram (kg). It is widely used all over the world to measure an object's weight because it is the International System of Units' (SI) fundamental unit of mass.

To convert grams to kilograms, you divide the number of grams by 1000 since there are 1000 grams in one kilogram.

So, 5,000 grams is equal to 5,000/1000 = 5 kilograms.

Therefore, the correct option is C. 5 kilograms.

Learn more about kilograms here : brainly.com/question/29255021

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One year ago, Lindsey deposited $250 into a savings
account. Her balance
deposited $250 into
now $253, Two years ago, Jenn
savings account Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain,

Answers

Answer:

Jenns account has the greater simple interest rate.

Step-by-step explanation:

The formula for simple interest is:

A = P * ( 1 + r * t )

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

253 = 250 * ( 1 + r * t )

Solve for r

r = ( 253/250 ) - 1 = 0.012

Lindsey simple interest was 1.2% annually

For Jenn:

257.50 = 250 * ( 1 + r * 2 )

r = ( 257.50/250 ) - 1 )/2 = 0.015

 

Jenn simple interest was 1.5% annually  

Therefore Jenns account has the highest simple interest rate.

Answer:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation:

Sample response :)

I need help with this points if right

Answers

Answer:

A

Step-by-step explanation:

90-49=41

41-3=38

49+(38+3)=90

A polygon has the following coordinates: A(6,-7), B(1,-7), C(1,-4), D(3,-2), E(7,-2), F(7,-4). Find the length of BC

Answers

Answer: B= 2,4

C=8,1

Step-by-step explanation:

Answer:

I believe its 5 units!

Step-by-step explanation:

Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?

a $131.25
b $331.66
c $2,625.00
d $3316.62

Answers

Answer:

C.

Step-by-step explanation:

The answer is C !!! :)

Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =

Answers

Why are you cheating... I will report this to your teacher

2(x + 5) = 3x + 1
Solve the equation

Please hurry

Answers

Answer:

So the answer is 9

Step-by-step explanation

1 . The explanation is that you have to distrubte the parentheses 2.subtract 10 from both sides 3.simplify what you got after you 4.subtract 3 from both sides 5.simplify again 6.divide both sides of the equation by the same terms 7.simplify again and you get 9

Please I would be grateful I need help

Answers

Answer:

A.. 3x

Step-by-step explanation:

Option A is the correct answer.

[tex] 9xy^2 - 6xy - 3x[/tex]

[tex]= 3x(3y^2 - 2y - 1)[/tex]

The answer is A which is 3x

Mona needs to photocopy a 14.5 centimeters wide by 15 centimeters long picture. She wants to enlarge the picture so that its length will be
37.5 centimeters. How wide will the enlarged picture be?
O a
38.8 cm
Ob
37 cm
ос
93.75 cm
Od
36.25 cm

Answers

Answer:

The enlarged picture will have a width of 35.8 cm

Step-by-step explanation:

We can solve this question by proportions, using rule of three.

When the length is of 15 centimeters, the width will be of 14.5 centimeters. What is the width when the length is 37 centimeters?

15 cm - 14.5 cm

37 cm - x

Applying cross multiplication

[tex]15x = 14.5*37[/tex]

[tex]x = \frac{14.5*37}{15}[/tex]

[tex]x = 35.8[/tex]

The enlarged picture will have a width of 35.8 cm

Answer:

36.25 cm

Step-by-step explanation:

37.5 divided by 15 is 2.5 then multiply 14.5 by 2.5 and your answer will be 36.25 cm.

I hope this helps the last answer you got was close but incorrect. I really hope I get brainlyiest. :)

Brainiest for the right answers...

Answers

Answer:

9. B 10. C 11. B 12. B

Step-by-step explanation:

solve the inequality 2(n+3) - 4 < 6. then graph the solution.



Please help ??

Answers

Answer:

n < 2

Step-by-step explanation:

Answer: Look at the explanation please.

Step-by-step explanation:

The first thing you would do is distribute the 2 to the n and the 3.

You will then get 2n+6-4<6

Next, you will have to subtract 6-4 and you will get 2

You will the have 2n+2<6

Subtract 2 from 2 to get 0 and from 6 to get 4.

Your left with 2n<4

Then, divide 2 from 2n and 2 from 4

Last, your answer will be n<2.

Graphing

Your graph would look like (from what I see in my book)

You have seven tick marks and in the middle will be 0.

From the left of 0 should have negative 1, 2, and 3

From the right of 0 would be positive 1, 2, and 3

On the top of 2 would be a open circle and an arrow going to the left.

Hope this helps :)

A number x increased by 6, and then sum is doubled

Answers

The equation would be 2(x+6)

Hope this helps

Have a great day/night

Feel free to ask any questions

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

19,000 cm

Step-by-step explanation:

Hope this helps

Answer:

19000 square units

Step-by-step explanation:

It is assumed the rectangular prism with dimensions of 20, 70 and 90

Surface are is calculated by the formula:

SA = 2(lw + lh + wh)

Substitute values and find the value:

SA = 2(20*70 + 20*90 + 70*90) = 19000 square units

The triangle below lie on the same line. Find the horizontal distance of the smaller triangle.

Answers

Answer: The answer is 2

Step-by-step explanation: I had the same question and I got the answer right

7)
2 1
Please help giving Brainly

Answers

Answer:

You should use MathPapa.

Step-by-step explanation:


Using the compound interest formula, the "n" is what value when compounded annually?

Answers

Answer:

n=1

Step-by-step explanation:

N is the number of times per year

Annually would be one time per year so n =1

Answer:

If interest is compounded yearly, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12; weekly, then n = 52; daily, then n = 365; and so forth, regardless of the number of years involved. Also, "t" must be expressed in years, because interest rates are expressed that way.

Step-by-step explanation:

It's a snip-it from the web, but it worked for me.

which fraction is the same as 9/10?

Answers

Answer:

the first one is the same

Step-by-step explanation:

90/100 because its x10 on both sides

Solve for indicated side

Your Answer:
Question 4 options:
Answer

Answers

Answer: The answer is 10.

Step-by-step explanation:

Sorry, I write sloppy.

the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12

Answers

For velocity take the derivative
V(t) = -2sin(2t)
t= pi/2
V = 0

A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275.

Answers

Answer:

0.4332 = 43.32% probability of a rating that is between 200 and 275.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50

This means that [tex]\mu = 200, \sigma = 50[/tex].

Find the probability of a rating that is between 200 and 275.

This is the pvalue of Z when X = 275 subtracted by the pvalue of Z when X = 200. So

X = 275

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{275 - 200}{50}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

X = 200

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{200 - 200}{50}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

0.9332 - 0.5 = 0.4332

0.4332 = 43.32% probability of a rating that is between 200 and 275.

13. Given f(x) = X – 3 and g(x) = 4x, find f(g(x)).
A. 4x - 3
B. 4x - 12
C. 5x - 3
D. 3x - 3

Answers

Step-by-step explanation:

f(g(x))

= f(4x)

= (4x) - 3. (A)

Step-by-step explanation:

option A is the correct answer according to my opinion .

plz mark my answer as brainlist if you find it useful.

The total budget for a school fundraiser is $350. Supplies and refreshments cost $140. The band for the event charges $70 each hour. What is the number of hours the school can have the band play?

Which equation represents the situation?


Answers

Answer:

I think its 3 hours

Step-by-step

also I think its the last one

Find the output, g, when the input, r, is 4.

g=25−3r

plzzzzzz help me i need to finish

Answers

Answer: g = 13 / Thats the output

Step-by-step explanation:

g = 25 - 3r

Its telling you the r is 4 since its the input.

g = 25 - 3 ( 4 )   see!! just plug in the number

Now Solve

g = 25 - 12

g = 13

Answer:

g = 13

Step-by-step explanation:

since r = 4, you make the equation :

g=25-3(4)

first you multiply 3 and 4 and you get 12

g=25-12

and 25 - 12 is 13 which equals :

g = 13

[tex]30 \frac{1}{6}[/tex]≈

Answers

Hello,

The answer is: 181/6 or 30.16667

Im not sure how to do this math question y=2x graphing

Answers

X is the bottom and y is going up
Start at one at the bottom and times by two so 2. Do this for all the numbers on the x axis
Answers
(1,2). (2,4) (3,6) (4,8) (5,10)
Then connect these coordinates

what is 20:10 in its simplest

form

Answers

Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers

5x+(6x divided by -9)

Who ever answer’s this i will mark brainliest

Answers

Answer:

(13/3)x

Step-by-step explanation:

6x/-9 is eqivalent to (2/-3)x. 5x is equivalent to (15/3)x. Combine the like terms and you get (13/3)x.

?????????????????????

Answers

Answer:

0 and 4

Step-by-step explanation:

How many digits are there in the​ Hindu-Arabic form of 44,350•1019​?

Answers

Answer:

25 digits

Step-by-step explanation:

add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits

Hindu-Arabic numerals are a decimal, or base-ten, place-value number system with the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 as fundamental building blocks. Each digit in a number has a place value depending on its position.
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