One-fourth equals the quotient of a number and 8. Find the number.

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

6 0

1/4 = n / 8
multiply both sides by 8 to isolate n

2 = n

The number is 2.

Lapatulllka [165]3 years ago

4 0

Quotient=x

1/4=x/8

x=2

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A delivery truck is transporting boxes of two size: the combined weight of a large box and a small box is 65 pounds. The truck i

Bas_tet [7]

pretty much about the same as before.

a = weight of a large box

b = weight of a small box.

we know their combined weight is 65 lbs, thus a + b = 65.

we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

$\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft$