Jenny collects seashells and interesting rocks. She keeps her collections in boxes shaped like rectangular prisms. Her seashell box is 5 inches tall and has a volume of 200 cubic inches. Her rock box has a volume of 280 cubic inches. The area of the base of both boxes is the same. How tall is Jenny's rock box?

Answers

Answer 1

Answer:

7 in

Step-by-step explanation:

volume of a rectangular prism = width x height x length

width x length = area of the base

the sea shell box

200 = width x length x 5

width x length = 200/5 = 40cm^2

rock box

280 = 40in^2 x height

height = 280/40 = 7 in


Related Questions

If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

In the figure,Line x is parallel to line y. identify the angles congruent to angle 3

Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

What is the measure of ZMJK in the figure below?
M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.

Answers

Answer:

Angle MJK = 64°

Step-by-step explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

∠MJK = 64°

Franklin treated his sister to lunch while visiting her in Ashland. Their lunch cost $75, and the sales tax in Ashland is 8%. If Franklin left a 20% tip on the $75, how much in total did he pay?

Answers

Answer:

$96

Step-by-step explanation:

If you doing ixl M.10 Multi-step problems with percents

i did this question and it's 96.hope this helps

Total cost of pay for the lunch will be $96.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The cost of lunch = $75

Sales tax = 8%

Tip = 20%

Now,

The cost on sales tax = 8% of $75

                                = 8/100 x 75

                               = $6

Thus, The cost on sales tax = $6

And, The cost for tip = 20% of $75          

                                = 20/100 x 75

                                = $15

Thus, The cost for tip = $15

So, Total cost to pay for lunch = $75 + $6 + $15

                                               = $96

Thus, Total cost of pay for the lunch will be $96.

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HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP

Answers

The answer is B, 25%.

There are 16 students total, and 4 scored above a 90 so you divide 4 by 16 which gives you 0.25, which is 25%

Answer:

B. 25%

Step-by-step explanation:

Total 16 students

4 scored above 90

so 4/16= 0.25

Answer: 25%

plz mark me as brainliest.

Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Consider right triangle AJKL below.
K
L
60
5.2
3
J
Which expressions represent the length of side KL?

Answers

i think the answer is c. sorry if incorrect

I need some help on this question

Answers

Answer:

Real numbers have two categories: rational and irrational. If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end.

Step-by-step explanation:

So as to say that irrational numbers can't be a squared root because of there decimals.

PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

Dave learned a total of 10 appetizer recipes over the course of 5 weeks of culinary school.
After how many weeks of culinary school will Dave knov a total of 12 appetizer recipes?
Assume the relationship is directly proportional.

Answers

Answer:

4.8

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

(12/10)5 = 6 weeks

Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)

Answers

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

Find the area of the shape shown below.

Answers

That shape is a Pentagon

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

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Answers

Answer:

a because i said so trust me

Step-by-step explanation:

Answer:

The number of students that the club needs is at least 8

Step-by-step explanation:

The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.

What is a digit in the hundredths pace has 1/10 the value of the same digit of the same digit in the tenths pace?

Answers

Answer:

4,099 and 5,011 are the numbers whose ones place is 1/10 the value of the digit in the tens place. Step-by-step explanation: 1 : 4,099 - Yes, The digit at the ones place is 9 and the digit at the tens place is 90 (as per place value). So, 9 is one tenth of 90.

pls help with this immediately!!!! i’ll be giving brainiest to those who provide the correct answer. if u leave a link, have fun getting reported.

Answers

Answer:

I belive it is Parellelogram

parallelogram and quadrilateral

A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

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In the diagram, the ratio of AB to AE is 1/2. What is the ratio of the length of DB to the length of CE?

Answers

Answer:3/2

Step-by-step explanation:

A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.

Answers

Answer:

12 gallons

Step-by-step explanation:

Total gallons = 16 gallons

Total distance = 460 miles

Fuel efficiency in the highway = 30 miles per gallon

Fuel efficiency in the city = 25 miles per gallon

Let

h = gallons of gasoline were used on the highway.

460 = 30h + 25(16 - h)

460 = 30h + 400 - 25h

460 - 400 = 30h - 25h

60 = 5h

h = 60/5

h = 12 gallons

12 gallons of gasoline were used on the highway.

This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area, in
square inches, of the actual flag?

Answers

Answer:

648 sq. in.

Step-by-step explanation:

The ratio of the flag is 1:18 and the question asks for the area of the flag.

To find the actual flag size, you got to multiply the width by 18.

Then you must multiply the length by 18.

A= LxW

A=36 x 18

A= 648 sq. in.

Therefore, the area of the actual flag is 648 sq. in.

14476 as a percentage

Answers

Answer: 1447600%

Step-by-step explanation: in order to convert number to percentage you’d have to multiply the given number by 100 and then add a percentage sign

2. What is the slope in this equation? y =2x +1
y
2
х
1

Answers

Answer:

the slope equals 2. otherwise known as the coefficient of x.

Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?​

Answers

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

What is a box plot?

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

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Solve for x if: y = -6 and -10x + 7y = 18

A) 8
B)-18
C)-6
D)9

Answers

Answer:

Step-by-step explanation:

-10x+7(-6)=18

-10x-42=18

      +42 +42

___________

-10x/-10=60/-10

x= -6

Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23

Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10

Answers

I believe it would be A
Answer is:
A. 6x = 13

Explanation:
The next step after 6x+10=23 is to subtract 10 on both sides so you’ll be only left with your coefficient and variable which is 6x on one side and your constant on the other side.

6x + 10 = 23
6x + 10 - 10 = 23 - 10
6x = 23-10
6x = 13

Hope this helped :3

Which equation describes a line that passes through the point (-6, 2) and is parallel to
the line represented by 2y - 4x = 10?
Anyone know??

Answers

Answer:

y = 2x +14

Step-by-step explanation:

2y - 4x = 10

=> 2y = 4x + 10

=> y = 2x + 5

          ↑ the slope of this equation

parallel lines have the same slope, thus, the equation in the 4 options must have the same slope: 2.

plug in point (-6, 2) & the slope "2" into the equation: y = ax + b   to find "b."

=> 2 = -6(2) + b

=> b = 14

plug in the slope "2" and the y-intercept(or b) "14" into the equation: y = ax + b

=> y = 2x +14

(PLEASE HELP)
Find the area of the triangle.

Answers

Answer:

3.15km²

Step-by-step explanation:

A = bh/2

Need help and pls explain the best you can with the answer

Answers

Answer:

D = +/- 12.041 units

Step-by-step explanation:

D =

[tex] \sqrt{} (x2 - x1) {}^{2} + (y2 - y1) {}^{2} [/tex]

[tex] \sqrt{} ( - 5 - 4) {}^{2} + (3 - ( - 5)) {}^{2} [/tex]

[tex] \sqrt{81 + 64} [/tex]

[tex] \sqrt{145} [/tex]

D = +/- 12.041 units

Which of these is a simplified form of the equation 13z + 2 = 8 + 2z + 1z? (4 points)

a
10z = 6

b
10z = 10

c
4z = 6

d
4z = 10

Answers

Answer:

a part

Step-by-step explanation:

Answer is attached....

Hope it helps:)

a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?​

Answers

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?​

The distance between the fire and the base of the tower is 3816.2 feet.

What is the concept of height and distances?

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

How do we solve the given question?

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

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what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2

Answers

Answer:

A

Step-by-step explanation:

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