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3 years ago

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:

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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Llana [10]

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Step-by-step explanation:

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3 years ago

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What is the smallest power of 10 that exceeds this number 235,452?

taurus [48]

${10}^{6}$
10 to the power of 6 equals 1,000,000.

8 0

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

x=3

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