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Daniel [21]
3 years ago
7

Which of the following represents the prime factorization of 72?

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

2.2.2.3.3.

Step-by-step explanation:

72 / 2 = 36

36/2 = 18

18/2 = 9

9/ 3= 3.

So it is 2.2.2.3.3.

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Ben has square garden that has sides measuring 12 feet. Ben want to increase every side of his garden by x, feet in order to pla
Valentin [98]

Answer:

  • (a) 104 = 4(12+x)
  • (b) x = 14

Step-by-step explanation:

(a) The new side length of Ben's garden is (12+x), since x is the amount of increase above the existing 12 ft side length.

The perimeter is the sum of the lengths of the four equal sides, so is ...

  perimeter = 4 × side length

  104 = 4(12+x)

(b) We can solve this by dividing by 4, then subtracting 12.

  26 = 12 +x . . . . . divide the above equation by 4

  14 = x . . . . . . . . . subtract 12

The solution is x = 14.

4 0
3 years ago
Tara has 39 red pens she has to get 125 pens how many more pens does she need?
Crank

Answer: She needs 86 more pens

Step-by-step explanation: She starts off with 39 pens and she needs to get to 125 so you would subtract 39 from 125 and you would find the answer to how many more she needs.

4 0
3 years ago
Read 2 more answers
5,510 divided by 56 equals
Bond [772]
5,510 divided by 56 equals 98.392
3 0
3 years ago
Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)
Elina [12.6K]
So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well \bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
A&({{ 6}}\quad ,&{{ 0}})\quad 
%  (c,d)
B&({{ 1}}\quad ,&{{ 5}})\\\\
C&({{ 2}}\quad ,&{{ 0}})\quad 
%  (c,d)
D&({{ 4}}\quad ,&{{ 2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}

7 0
3 years ago
Read 2 more answers
3 ⅕ -⅔ divided by 2 ⅘
spin [16.1K]

Answer:

160/196

Step-by-step explanation:

it would be easier if you converted all fractions to improper fractions

so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5

\frac{14}{5} - \frac{2}{3} : to solve this you would need the same common denomenator,

to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15

thus

multiplying first fraction by 3 and the second by 5

42/15 - 10/15 = 32/15

now 32/15 divided by 14/5

the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:

\frac{32}{14} multiplied by \frac{5}{14}

thus, answer is 160/196

8 0
3 years ago
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