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2 years ago

A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there

Mathematics

1 answer:

yarga [219]2 years ago

5 0

Answer:

A. 49

Step-by-step explanation:

ratio of houses is 3 new to 7 old

21 new is 7 times more than 3, so 7 will also be 7 times more

so, 21 to 49

I hope that made sense

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You earn a fixed salary working as a sales clerk making $11 per hour. You get a weekly bonus of $100. Your expenses are $60 per

elena55 [62]

Shall we make life simpler by eliminating unnecessary numbers.
<span>Totally, my expenses would be 60+200 = $260. Let us say that of this $100 would be met by the weekly bonus so that the residual part of the requirement is $160. </span>
<span>Let x be the number of hours I work. Then my earning would be 11x. For break even, earning should equal requirement. That is 11x = 160. And so, x = 160/11 = 14.55 hours/week </span>

6 0

4 years ago

A basketball player made 78 out of 100 attempted free throws. What percent of free throws was made?

DaniilM [7]

78%
78/100=0.78
0.78x100=78

7 0

3 years ago

Evaluate f(9) given the function f(x)=3x2 – 11x - 21*

Blizzard [7]

Answer:

123

Step-by-step explanation:

The given function is :

$f(x)=3x^2 - 11x - 21$

We need to find the value of f(9). It can be done by putting x = 9 in the above function as follows :

$f(9)=3(9)^2 - 11(9) - 21\\\\=243-99-21\\\\=123$

So, the value of f(9) is 123.

3 0

3 years ago

A boy purchased (bought) a party-length sandwich 56 in. long. He wants to cut it into three pieces so that the middle piece is

erik [133]

The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.

Step-by-step explanation:

Let,

x be the shortest piece.

Therefore,

Middle piece = x+5

As shortest piece is 9 in shorter than longer piece;

Shortest piece = longest piece - 9

x = longest piece - 9

longest piece = x+9

Length of sandwich = 56 in

According to given statement;

Shortest piece + middle piece + longest piece = 56

$x+(x+5)+(x+9)=56\\x+x+5+x+9=56\\3x+14=56\\3x=56-14\\3x=42$

Dividing both sides by 3;

$\frac{3x}{3}=\frac{42}{3}\\x=14$

Shortest piece = 14 in

Middle piece = 14+5 = 19 in

Longest piece = 14+9 = 23 in

The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.

Keywords: Addition, linear equation

Learn more about addition at:

#LearnwithBrainly

5 0

3 years ago

What is 14 divided by 6

Licemer1 [7]

$14:6=\frac{14}{6}=\frac{14:2}{6:2}=\frac{7}{3}=\frac{6+1}{3}=\frac{6}{3}+\frac{1}{3}=2\frac{1}{3}\\\\\frac{1}{3}=0.\overline3\ therefore\ 14:6=2.\overline3$

5 0

3 years ago