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lubasha [3.4K]
3 years ago
10

Together Vondra and Marion have 51 rocks.Marion has 2 times as many rocks as Vondra. How many rocks dose Marion have? How many r

ocks are in Vondra’s collection?
Mathematics
1 answer:
Otrada [13]3 years ago
3 0

Answer:

Marion has 34 rocks and Vondra has 17 rocks

Step-by-step explanation:

1. 51 ÷ 3 = 17

2. Because Marion has 2 times the amount of rocks as Vondra you have do 17 × 2 = 34

3. So, Marion has 34 rocks and Vondra has 17 rocks

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The volume of a certain right circular cylinder is 16. A larger circular cylinder has radius 25% greater and height 50% greater
san4es73 [151]

Answer:

V_2 = 37.5

Step-by-step explanation:

Given

Volume = 16

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

H = h + 50\% * h

And the radius (R) is;

R = r + 25\% * r

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

V_1 = \pi r^2h

Substitute 16 for V1

16 = \pi r^2h

While the volume of the larger cylinder is:

V_2 = \pi R^2H

We have that:

H = h + 50\% * h and R = r + 25\% * r

--------------------------------------------------------------------------------------------------------------

Simplify both expressions

H = h + 50\% * h

H = h + 0.50*h

H = h + 0.50h

H = 1.50h

R = r + 25\% * r

R = r + 0.25*r

R = r + 0.25r

R = 1.25r

--------------------------------------------------------------------------------------------------------------

Substitute values for R and H in V_2 = \pi R^2H

V_2 = \pi * (1.25r)^2 * 1.50h

V_2 = \pi * 1.5625r^2 * 1.50h

Collect Like Terms

V_2 = 1.50 * 1.5625* \pi*r^2 * h

V_2 = 2.34375* \pi*r^2 * h

V_2 = 2.34375* \pi r^2h

Recall that: 16 = \pi r^2h

V_2 = 2.34375* 16

V_2 = 37.5

<em>Hence, the volume of the larger cylinder is 37.5</em>

8 0
3 years ago
Which statement is true?
Marta_Voda [28]

B) \: m\angle1 < m\angle5

5 0
3 years ago
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In the diagram below of circle O, OB and OC are radii, and chords AB, BC,
Vikki [24]

Answer:

It would be number 2. measure of angle BAC is equal to half the measure of angle BOC.

Step-by-step explanation:

This is because of inscribed angles.

4 0
3 years ago
What is the slope of line that passes through points (-6,-7)and(-24,7)write your answer in simplest form
geniusboy [140]

Answer:

-7/9

Step-by-step explanation:

the slope of a line between two points is 'rise over run', or the vertical distance between the points divided by the horizontal distance between them.

Finding the change in either direction is done by simply subracting our starting value from our ending value. It does not matter which point you start at, but lets choose (-6,-7) as our starting point, and (-24,7) as our end point.

The 'rise' of this line is 7 - (-7), which equals 14

The 'run' would then be -24 - (-6), which equals -18

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Fill in the blank to make the two fractions equivalent.
vovikov84 [41]
The answer is 20. Its there but erased
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