Helpppp please
Arusha decides to build the prism using two cubes with edge lengths of 5 centimeters. She will partially fill the prism with 150 cubic centimeters of sand. What fraction of the prism's volume will bring filled by the sand? Show your work ​

Answers

Answer 1

Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].

What is the volume of a cube?

The volume of a cube of edge length l is given by:

V = l³.

In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:

V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.

150 cm³ will be filled with sand, hence the fraction is given by:

[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]

More can be learned about the volume of a cube at https://brainly.com/question/13030328


Related Questions

Factor using the greatest common factor

25n ² - 5n


32n ² + 28n - 20

Answers

Answer:

this is my answer

5n (5n - 1)

4n (8 + 7) - 20

Describe another way you can find 18 = 3.​

Answers

Answer:

divided by 3 on both sides

The air quality index, or aqi, measures how polluted the air is in your city and assigns a number based on the quality of the air. over 100 is "unhealthy". the number of days the aqi exceeds 100 in a given year is modeled by the following quadratic regression equation: n = 1.76 t squared minus 13.32 t 41.00 let n represent the number of days the aqi exceeds 100 in a given year. approximately how many days did the aqi exceed 100 in the year 1988? round to the nearest whole day. (let t represent the number of years since 1990. therefore, t = 0 corresponds to the year 1990.) a. 60 days b. 75 days c. 61 days d. 21 days

Answers

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

[tex]\rm n = 1.76t^2-13.32 +41[/tex]

Where n be the number of days the AQI exceeds 100 in a given year.

For [tex]\rm t = -2[/tex], then we have

[tex]\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

what is 4.768 as a common fraction

Answers

Answer:

[tex] \frac{596}{125} [/tex]

should be it

Which of the following can hold about 2 liters of water? A. a lemonade pitcher B. a pond C. a coffee mug D. a medicine dropper​

Answers

A. a lemonade pitcher

True or false.

If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.

don't guess

Answers

Answer:

true

Step-by-step explanation:

What is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?

Answers

Answer:

43690

Step-by-step explanation:

hope u understand it

What is the area of the shape?

Answers

76 8x7 =56 8x3 =24 24 divided by 2 is 12 8x2=16 16 divided by two is 8 add them together 76

Answer:

76

Step-by-step explanation:

to find the area of a square do base x height

7 x 8 = 56

to find the area of a triangle do base x height ÷ 2

3 x 8 = 24

24 ÷ 2 = 12

2 x 8 = 16

16 ÷ 2 = 8

8 + 12 + 56

= 76

What is the correct answer for this

Answers

Answer:

The answer for this question is 9.

Step-by-step explanation:

8.5 x 4 x 9 is 306

Answer:

P = 9 mm

Step-by-step explanation:

306 = P X 8.5 X 4

306 = 34P

[tex]306/34 = P[/tex]

P = 9 mm

Hope this helps

List the rules when solving the following: 6 + (+4)

Answers

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

What percentage of take-home pay is spent on expenses? (round to nearest whole percent) a) 67% b) 68% c) 84% d) 85%

Answers

The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

What is percentage of a number?

Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%'  known as percentage symbol.

In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.

The percentage of take-home pay is spent on expenses is,

[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]

Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.

Learn more about the percentage here;

https://brainly.com/question/24304697

Write an equation for the line in slope intercept form

Answers

Answer:

[tex]y=-\frac{3}{4}x+4[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope (m): [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Use two points on the line to find the slope (m)

(4, 1) and (-4, 7)

[tex]m=\frac{7-1}{-4-4} \\\\m=\frac{6}{-8}\\\\m=-\frac{6\div2}{-8\div2}\\\\m=-\frac{3}{4}[/tex]

y = mx + b

[tex]y=-\frac{3}{4}x+b[/tex]

Now we find b, using either (4, 1) or (-4, 7)

(4, 1)

[tex]y=-\frac{3}{4}x+b\\\\1=-\frac{3}{4}(4)+b\\\\1=-3+b\\+3 +3\\\\4=b[/tex]

[tex]y=-\frac{3}{4}x+b== > y=-\frac{3}{4}x+4[/tex]

Check your answer using either of the points:

[tex](4,1)\\y=-\frac{3}{4}x+4\\\\1=-\frac{3}{4}(4)+4\\\\1=-3+4\\\\1=1[/tex]

This statement is true

Therefore, our final answer is [tex]y=-\frac{3}{4}x+4[/tex]

Hope this helps!

Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?

Answers

Answer: 76

Step-by-step explanation:

The area of the given composite figure is 76 square units.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given composite figure has three parts, two triangles and one rectangle.

Area of small triangle = 1/2 ×8×2

= 8 square units

Area of large triangle = 1/2 ×8×3

= 12 square units

Area of rectangle = Length×Height

= 8×7

= 56 square units

Total area = 8+12+56

= 76 square units

Therefore, the area of the given composite figure is 76 square units.

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ2

How to find a surface are?

Answers

     The surface area is found by finding the area of all shapes creating the surface, and then adding them together.

Example:

     If we have a 5 x 5 x 5 cube, we will find all six sides. Since 5 x 5 is 25, and 25 x 6 = 150, the surface area of this example cube will be 150 units².

     Why the x 6? Since it is a cube all the sides have the same area, and a cube has 6 sides.

A cone has a
volume of 3511
cubic feet and a
height of 13 feet.
Find the diameter
of the cone.

Answers

Answer:

Ah cgej4

YTL bebekte gt ydd

Step-by-step explanation:

(8=6'+)9*3-6


Hello, I need help with my work, someone ANYONE please help me, you will make my day if you help me.

Answers

Answer:

2.5, 3, 6, 9, 2.8, 6, 1.5

Is this what you're asking for?

Step-by-step explanation:

I would be very grateful if you help me ​

Answers

I think

1.3

2.15cm²

3.5

Sorry!!I don't have time ok

I'll explain later but i wrote the answer 1-3 ok

HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

I think the modes are: 20 ,18 and 19


Q. Find the volume
10
8
12
3
2
answer choices

A. 128
B. 180
C. 124
D. 182

Answers

Answer:

A.128

Step-by-step explanation:

First you break the prism apart so that you have one 7x4x2 rectangular prism and one 12x3x2 prism. Find the volume of both, then add them together.

Volume of 12x3x2:

12 x 3 = 36.          36 x 2 = 72.

Volume of 7x4x2:

7 x 4 = 28.            28 x 2=56.

Then add both volumes: 72 + 56 = 128.

A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the following associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.

Answers

Using linear function concepts, it is found that the correct statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.

In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:

P(t) = 2,376t + 73,219.

For biology, the amount is given by:

B(t) = 2,414t + 56,545.

Then, the true statements are given by:

The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Need help with angle solving​

Answers

Step-by-step explanation:

corresponding angles (CA)

Alternative interior angles (AIA)

co interior angles (CIA)

question 1 angles =

5 + 3 = 180 ( CIA)

83⁰ + 3 = 180

angle 3 = 180 - 83⁰

angle 3 = 97

angle 8 = angle 3.... CA

angle 8 = angle 16 ....CA

ANGLE 16 = ANGLE 12.....CA

angle 5 = angle 13 ....CA

ANGLE 3 = Angle 6......AIA

ANGLE 5 = ANGLE 4.......AIA

ANGLE 4 = ANGLE 7......CA

ANGLE 6 = ANGLE 1......CA

ANGLE 13 = ANGLE 9......CA

ANGLE 12 = ANGLE 14.....AIA

ANGLE 13 = ANGLE 11.....AIA

ANGLE 14 = ANGLE 10.......CA

ANGLE 11 = ANGLE 15

NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....

QUESTION 2 :

ANGLE 1 = ANGLE 7 .......AIA

2X + 40 = 6X - 20

40 + 20 = 6X - 2X

60 = 4X

60/4 = X

15 = X

SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70

AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70

ANGLE 7 = ANGLE 3 ......CA

ANGLE 3 = ANGLE 5 .....AIA

ANGLE 3 + ANGLE 6 = 180 .....CIA

70 + ANGLE 6 = 180⁰

ANGLE 6 = 180 - 70⁰ = 110⁰

angle 2 = Angle 6

ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE

ANGLE 8 = ANGLE 4

NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....

Did I really jst got 15 points for this (ノ`Д´)ノ彡

HEHEEE JK:)

A bale of hay in the shape of a rectangular prism has a length of 4 feet, a width of 2 feet, and a height of 2 feet. A cylindrical bale of hay has a diameter of 7 feet and a height of 6 feet. How many rectangular bales contain the same amount of hay as one cylindrical bale?

Answers

Answer:

14.424375 cubed feet (can round)

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First, find the volume of the rectangular prism which is 4 x 2 x 2 = 16 cubed feet.

Next, find the volume of the cylinder, and use this formula:

πrr (area of one circle) x the height

The r = the radius, but we only have the diameter. We need to divide the diameter by 2 to find the radius. (7 divided by 2 = 3.5 feet)

Now, we can plug all of the numbers in the previous formula:

π(3.5)(3.5) x the height (6 feet) = 230. 79 cubed feet

For the final step, we need to do 230. 79 divided by 16 to find how many rectangular prisms can fit in the cylinder.

So, the answer is 14.424375 cubed feet. (Add the label of "squared feet" and round the answer if you like!)

. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?

Answers

Step-by-step explanation:

the formula is distance/time

since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer

Given: AABC,
AB=BC,
BD 1 AC,
P
AABC
BC = 50,
= 40
ABD
Find: BD

Answers

Answer: 15

Step-by-step explanation:

Question 3 options: lily is building a picture frame. the larger rectangle represents the frame. the smaller rectangle represents the picture. the shaded area represents the 2-inch border around the picture. what is the area of the border, or the shaded region, of this figure in square inches?

Answers

The area of the shaded region of this figure which can be calculated by the difference of the larger region from the smaller region would be 104 in.²

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Area of a larger rectangle

= Length × Width

= 18 × 12

= 216 in.²

Area of the smaller rectangle

Length = 12 - 2 - 2 = 8 in.

Width = 18 - 2 - 2 = 14 in.

= Length × Width

= 8 × 14

= 112 in.²

Area of the shaded region = Area of a larger rectangle - Area of the smaller rectangle

= 216 - 112

= 104 in.²

Hence, the area of the shaded region of this figure is 104 in.²

Learn more about the area;

https://brainly.com/question/2289492

Can someone help me????

Answers

Answer:

x= 3(y+8)/

8

y= 8(x-3)/

3

Q. Find the Volume

3.4
5.2
7.1
Answer choices

A. 105
B. 112.5
C. 125.5
D. 110

Answers

Answer:

[tex]\boxed{\sf{125.5m^{3} }}[/tex]

Step-by-step explanation:

To determine a volume, you need a volume formula.

Volume:

[tex]\Longrightarrow:\sf{V=l*w*h}[/tex]

L stands for length: 7.1W stands for width: 5.2H stands for height: 3.4

Multiply these numbers from left to right.

[tex]\sf{7.1m*5.2m*3.4m=\boxed{\sf{125.5m^{3}}}[/tex]

Therefore, the correct answer is 125.5m³.

I hope this helps you! Let me know if my answer is wrong or not.

Factor the polynomials completely, then solve. 4^2- 81 = 0​

Answers

Answer:

[tex]x=\pm\frac{9}{2}[/tex]

Step-by-step explanation:

I assume you mean [tex]4x^2-81=0[/tex]:

[tex]4x^2-81=0\\(2x-9)(2x+9)=0\\x=\frac{9}{2},\:x=-\frac{9}{2}\\x=\pm\frac{9}{2}[/tex]

We were able to work quickly here since the original left-side expression was a difference of squares.

Answer:

Step-by-step explanation:

4x^2 - 81 = 0

(2x - 9)(2x + 9) = 0

x = -9/2, 9/2

ASAP PLEASE HELP!!! 100PTS BRAINLIEST!!!
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x)
−1 −9
0 −1
1 7
g(x)

g(x) = 3x − 2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer:

Part A: The slope f(x) is greater than slope g(x).

Part B: f(x) has a greater y-intercept.

Step-by-step explanation:

Part A:

The slope of the line is (y2 - y1)/(x2 - x1), so now we have to find the slope f(x).

-1 - (-9) / 0 - (-1) = 8/1 = 8

That would be the slope, and for g(x) it would be 3x-2 = 3.

Which means the slope f(x) is greater than slope g(x).

Part B:

First the y-intercept has to be put on 0.

So, the when function f(x) passes through point (0, -1), then y-intercept is -1.

Now we compare g(x) = 3x-2 with the slope-intercept form and b = -2 is the result. form and b = -2 is the result.

Which means the slope of g(x) is -2. Therefore, f(x) has a greater y-intercept than g(x).

Answer:

A)  Slope of f(x) is 8.  Slope of g(x) is 3

B)  f(x) has the greater y-intercept

Step-by-step explanation:

Part A

To find the slope of function f(x), use the slope formula:

[tex]\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{7-(-1)}{1-0}=8[/tex]

Therefore, the slope of f(x) is 8.

Linear function

[tex]y=mx+b[/tex]

where:

m is the slopeb is the y-intercept

Given:

[tex]g(x)=3x-2[/tex]

Therefore, the slope of g(x) is 3.

Part B

The y-intercept is when x = 0.  Therefore, from inspection of the table, the y-intercept of f(x) is -1.

The y-intercept of function g(x) is -2.

Therefore, as -1 > -2, function f(x) has the greater y-intercept.

6. Rosanne is selling her Corvette. She wants to include a photo of her
car in the ad. Three publications give her prices for her ad with the
photograph:
Lake Success Shopsaver
$59.00
Glen Head Buyer
$71.00
Floral Park Moneysaver $50.00
a. What is the mean price of these ads? Round to the nearest cent.
b. What would it cost her to run all three ads?
c. If each of the three newspapers used the mean price as their ad
price, what would it cost Rosanne to run ads in all three papers?
d. Find the range of these ad prices.

Answers

Answer:

add them

Step-by-step explanation:

you have to add them all up because it says find the range

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