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Gekata [30.6K]
3 years ago
10

Three consecutive odd integers have a sum of 27. What is the greatest of these integers?

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

  11

Step-by-step explanation:

The middle of the three is their average, their sum divided by 3:

  middle = 27/3 = 9

Then the largest is 2 more. It is 11.

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What is the smallest power of 10 that exceeds this number 235,452?
taurus [48]

{10}^{6}
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3 years ago
The ratio of sweaters to dresses that Jennifer has is 8:5. If
melomori [17]

Answer:

Ratio of sweaters to dresses = 8 : 5

Sum of ratios = 13

Let number of sweater + dresses = x

number \ of \ sweaters = \frac{8}{13} *x\\\\24 = \frac{8}{13}*x\\\\x = \frac{24*13}{8} = 3*13 = 39

number \ of \ dresses = 39 - 24 = 15

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3 years ago
What is the solution to this equation?
padilas [110]

Answer:

x=3

Step-by-step explanation:

10-3x+8x=25

-10            -10

-3x+8x=    15

5x=15

5x/5=15/5

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6 0
3 years ago
A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea
erma4kov [3.2K]

Answer:

the volume of the sphere is

33.51 in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v =   64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

v= l*b*h

v=l^{3}

64= l^{3}

l= \sqrt[3]{64}

l= 4 in

also diameter d=length l

Diameter d=  4in

Radius r =  \frac{d}{2}= \frac{4}{2}= {2 in}

Height h=4in

we know that the volume of a sphere is given by

v= \frac{4}{3} \pi r^{3}

substituting into the formula we have

v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}

8 0
3 years ago
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