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Jobisdone [24]
3 years ago
9

5 grade module 3 lesson 7

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0
1 - \frac{2}7} - \frac{1}{4} = \frac{13}{28}
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(12x5)2+(12x6)2+(6x6)2 will give you the answer. (Subtract 24 from the answer when done)
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You deposit $150 into an account with an interest rate of 3%. After 5 years, how much interest have you earned?
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sammy [17]
Z is congruent to q.
4 0
4 years ago
an algebraic expression to represent the new x-coordinate after a translation of two yards east given any initial x-coordinate,
Deffense [45]

Answer:

The required expression is (x+2).

x'=x+2=3+2=5

Step-by-step explanation:

The given point is (3,6).

Here,

x-coordinate = 3

y-coordinate = 6

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means

x'=x+2

where, x' is new x-coordinate and x is initial x-coordinate.

Put x=3 in the above equation.

x'=3+2=5

Therefore, the new x-coordinate is 5.

8 0
3 years ago
Find the ratio of the volume of one sphere to the volume of the right cylinder
yarga [219]

Answer:

B


Step-by-step explanation:

<em>Let r be the radius of one sphere.</em>

  • Volume of sphere is V=\frac{4}{3}\pi r^3

Since radius is r,  the height of the cylinder will be 4r

Also, the cylinder has the same radius as the sphere: r


  • Volume of Cylinder is V=\pi r^2 h

Plugging in the values we get: V=\pi (r)^{2}(4r)=4\pi r^3


<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}

The ratio is 1:3

Answer choice B is right.

5 0
3 years ago
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