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Sergeeva-Olga [200]
4 years ago
13

K/6 = 15/18 Solve the proportion

Mathematics
2 answers:
Ilya [14]4 years ago
8 0

Answer:

k = 5

Step-by-step explanation:

<u>Step 1:  Cross multiply</u>

k/6 = 15/18

k(18) = 6(15)

<em>18k = 90</em>

<u>Step 2:  Divide both sides by 18</u>

18k / 18 = 90 / 18

<em>k = 5</em>

Answer:  k = 5

<u>Another way to do it is to multiply both sides by 6</u>

k/6 * 6 = 15/18 * 6

k = 90 / 18

<em>k = 5</em>

muminat4 years ago
7 0

Answer: 5

Step-by-step explanation: To solve for <em>k</em> in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).

So we have (k)(18) or 18k = (6)(15) or 90.

Now we have the equation 18k = 90.

Dividing both sides by 18, <em>k = 5</em>.

It's a good idea to check the answer in these types of problems so if we plug a 5 back in for <em>k</em> in the original proportion, we have \frac{(5)}{6}= \frac{15}{18} which is a true statement since 15/18 reduces to 5/6.

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Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

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Step-by-step explanation:

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Solve the equation 2x + 10 = 30.
Morgarella [4.7K]

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

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One diagonal of a cube has length 12. Compute the surface area of the cube.
arlik [135]

Answer:

The surface area of the cube is 288\ units^{2}

Step-by-step explanation:

we know that

The length of a diagonal of a cube is equal to

D=b\sqrt{3}

where

b is the length side of a cube

In this problem we have

D=12\ units

so

12=b\sqrt{3}

solve for b

b=\frac{12}{\sqrt{3}}\ units

Simplify

b=4\sqrt{3}\ units

<em>Find the surface area of the cube</em>

The surface area of the cube is equal to

SA=6b^{2}

substitute the value of b

SA=6(4\sqrt{3})^{2}=288\ units^{2}

7 0
3 years ago
Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i
zubka84 [21]

Answer:

35\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=7\\r=3

substitute

C(7,3)=\frac{7!}{3!(7-3)!}\\\\C(7,3)=\frac{7!}{3!(4)!}

simplify

C(7,3)=\frac{(7)(6)(5)4!}{3!(4)!}

C(7,3)=\frac{(7)(6)(5)}{3!}

C(7,3)=\frac{(7)(6)(5)}{(3)(2)(1)}

C(7,3)=35\ ways

6 0
3 years ago
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