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Ne4ueva [31]
3 years ago
8

Abbey is stacking boxes of candles for a store display. The volume of each cube-shaped box is 125 cubic inches. If the display h

as six layers of boxes, how high is the display?
Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

The display after stacking of 6 layers of cube is 30 inches high.

Step-by-step explanation:

The volume of cubic box used by Abbey= 125 inch³

Total no of layer he has in display= 6

Height of the display-

We know that the volume of the cube is a³  

Where a is the side of the cube

Hence to find the side of the cubic box we need to find the cube root of the volume i.e. ∛125

Hence the side of each cube is 5 inch. Since all the sides for cube are equal hence the height would also be 5 inch

The total height of the display would be 6*5= 30 inches

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Solve system by substitution<br> Y=x-2<br> Y=4x+1
Natasha_Volkova [10]

y=x-2\\y=4x+1\\\\x-2=4x+1\\\\3x=-3\\x=-1\\\\y=-1-2\\y=-3

6 0
3 years ago
Read 2 more answers
What set of transformations is performed on triangle ABC to form triangle A'B'C'?
jonny [76]
In order to answer this question, you would need to provide a coordinate, but since this question lacks that, I will explain transformations. Transformations are like moving an object throughout a room, in this case, the room is a graph. The Y coordinate
(X, Y) is moving things higher or lower, or in this case up and down the graph. The X coordinate (X, Y) is moving things forward and backwards, or left and right on the graph. So in order to find your Transformation, you need to take what was your item's original position, it's X and Y locations, and subtract from that your new location.

Here's an example, if I had a triangle with sides and corners labeled A, B, and C or for short, triangle ABC, if A is located at (1 , 0), B is located at (3 , 3) , and C is located at ( 5 , 0) what is its new transformation if it is moved up 3 and right 1?

You would then add 1 to each angle's X coordinate and add 3 to each angle's Y coordinate. Resulting in this:
A (2 , 3)

B (4 , 6)

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I hope this was helpful
5 0
3 years ago
For your rock collection display, you want to have at most 25 samples.
mezya [45]

Answer:

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

The graph is attached.

Step-by-step explanation:

Let be "x" the number of metamorphic samples and "y" the number of sedimentary samples.

You know that you want to  to have at most 25 samples, then:

y\leq 25-x

And you want to have at least 3 times as many sedimentary samples as

metamorphic samples, then:

y\geq 3x

Therefore, the system of  inequalities that model the situation is:

\left \{ {y\leq 25-x} \atop {y\geq 3x}} \right.

The y-intercept of the line y=25-x is:

y=25-(0)\\\\y=25

And the x-intercept is:

0= 25-x\\\\x=25

Knowing this, you can graph the line

The y-intercept of the line y= 3x is:

y=3(0)\\\\y=0

And the x-intercept is:

0= 3x\\\\x=0

Knowing this, you can graph the line.

Observe the graph attached, where the solution of the system of inequalities is the intersection of the regions.

6 0
3 years ago
Team Duke has 115 students. The ratio of boys to girls on the team is 2:3. How many girls are on Team
Pavlova-9 [17]
There are 26 if correct if not 28
3 0
3 years ago
In a math class of 35 students, 17 boys and 18 are girls. On a unit test, 8 boys and 12 girls made an A grade. A student is chos
never [62]

Answer:

29/35

Step-by-step explanation:

probability of choosing a boy or an A student = (boys + a students - a boys)/total -->

probability of choosing a boy or an A student = (17 + 20 - 8)/35 -->

probability of choosing a boy or an A student = 29/35

6 0
3 years ago
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