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3 years ago

Write the percent as a fraction or mixed number in simplest form. 12% =

Mathematics

2 answers:

sweet [91]3 years ago

8 0

The fraction of 12% is 3/25ths and the decimal to 12% is 0.12

mihalych1998 [28]3 years ago

6 0

It is 3/25 since percents are out of 100, and it is 12/100, then 6/50, then 3/25 when it finally can't be simplified.

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a cylindrical bucket has a radius of 6 inches and a height of 18 inches. What is the minimum number of buckets of water needed t

ivanzaharov [21]

Answer:

Minimum 7 buckets of water is needed to completely fill spherical storage tank.

Step-by-step explanation:

We are given the following in the question:

Cylindrical bucket:

Radius, r = 6 inches

Height = 18 inches

Volume of bucket = Volume of cylinder

$V = \pir^2 h \\V = 3.14\times (6)^2\times 18\\V =2034.72\text{ cubic inches}$

Spherical storage tank:

Radius, r = 15 inches

Volume of tank = Volume of sphere =

$V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}$

Number of baskets required =

$n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7$

Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.

5 0

4 years ago

The rectangle in the following figure has a base that equals three times its height. Find an expression for the rectangle's peri

Tomtit [17]

Ok. Length = L, Base = B

P = 2L + 2B

We know that B = 3L or L = B/3

so that's P = 2/3B + 2B = 2/3B + 6/3B = 8/3B

7 0

3 years ago

HELP ME Write and solve a proportion to find y.

Phoenix [80]

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

$d'\propto d$

$d'=kd$

$\dfrac{d'}{d}=k$

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

$k=\dfrac{OB'}{OB}$

$k=\dfrac{36}{16}$

$k=\dfrac{9}{4}$

We know that,

$k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}$

$\dfrac{9}{4}=\dfrac{A'C'}{AC}$

$\dfrac{9}{4}=\dfrac{27}{y}$

$9\times y=27\times 4$

Divide both sides by 9.

$y=\dfrac{27\times 4}{9}$

$y=3\times 4$

$y=12$

Therefore, the value of y is 12.

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3 years ago

Calculate the total population increase of South Africa from 2001 Difference You may use the following formula: Increase = 2001

gayaneshka [121]

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7 0

3 years ago

Factor the polynomial.

mrs_skeptik [129]

The coefficients here are 4, 32, and -24. The GCF of these values is 4.
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.

5 0

3 years ago