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andrey2020 [161]
3 years ago
15

Which expression shows the quotient of two terms where one of the terms includes the coefficient of 8?

Mathematics
1 answer:
Sphinxa [80]3 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete; So, I will solve generally</em>

Required

Quotient of two terms where 1 has a coefficient of 8

The quotient (Q) of a and b can be represented as:

Q = \frac{a}{b}

Where a and b are the terms

For a or b to have a coefficient of 8, then a or b must be

a\ or\ b = 8x

Where x is the variable

So, the quotient can be expressed as any of:

Q = \frac{8x}{y}

Q = \frac{z}{8i}

Q = \frac{24b}{8c}

<em>As long as one of the terms has a coefficient of 8</em>

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What’s the volume of the composite figure of the triangle? 4x8x12
lilavasa [31]

Answer:

384

Step-by-step explanation:

All you have to do is multiply the three numbers

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3 years ago
Cindy wants to buy flooring and baseboards for her office. She needs to know how much to buy. What are the Area and Perimeter of
myrzilka [38]

Answer:

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2 years ago
A building casts a shadow that is 18 ft long. A woman standing near the building is 5.75 ft tall and 4 feet long. What is the he
Lynna [10]

Answer:

25 feet 6 inches

Step-by-step explanation:

Assuming that the woman is standing up straight, you have a situation where you have two similar right triangles. The legs of the smaller triangle are the woman's height and the length of her shadow, and the legs of the larger triangle are the building's height and the length of its shadow. We know that the sides of similar triangles are proportional, so we can write:

5ft8in =2ft=x%2Aft%2F18ft

Now you need to cross-multiply and solve for x, but multiplying feet times feet and inches is a messy calculation. Changing 5 ft 8 inches to 5 and 2/3 feet is messy also. My recommendation is to convert everything to inches, and then convert back to feet and inches when you are done.

5 ft 8 inches = (5 *12) + 8 = 68 inches

4 ft = 4 * 12 = 48 inches, and

18 ft = 18 * 12 = 216 inches.

Now the proportion looks like:

68%2F48=x%2F216, so

48x=14688 after cross-multiplying, and

x=306 after dividing by 48. So the building is 306 inches tall. But we want to know the height of the building in feet and inches. To convert back to feet and inches from inches, just do integer division by 12 where your answer is expressed as a quotient and a remainder. The quotient is the number of feet, and the remainder is the number of inches.

306 = 25 remainder 6, so the answer is 25 feet 6 inches.

Note that this answer makes sense. 5'8" is nearly 6'. 6' is one and a half times 4 feet, so the woman is a little less than one and a half times taller than her shadow is long. One and a half times the building's 18 ft shadow is 27 feet, and that is a little bit more than the 25'6' answer that we

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3 years ago
3. Judy took a taxi. The meter said $45. She tips the driver 15%. How much money does the the driver get in tips?
Anettt [7]

Answer:

6.75$

Step-by-step explanation:

because 15% of 45$ is 6.75$

7 0
2 years ago
Find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )​
astra-53 [7]

Answer:

Solution given:

letA=(10,-4)

B=(-2,-4)

centre[C](h,k)=\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)

radius=\sqrt{(4-10)²+(-4+4)²}=6units

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

(x-4)²+(y+4)²=36

or.

x²-8x+16+y²+8y+16=36

x²-8x+8y+y²=36-32

x²-8x+8y+y²=4

<u>T</u><u>h</u><u>e</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>i</u><u>s</u><u> </u><u>(x-4)²+(y+4)²=36</u><u> </u><u>o</u><u>r</u><u> </u><u>x²-8x+8y+y²=4</u><u>.</u>

8 0
2 years ago
Read 2 more answers
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