Four less than two-thirds of a number is equal to twice the number. What is the number

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

2/3*n-4 = 2*n

subtract 2/3 n from each side

-4 = 2n - 2/3 n

-4 = 6/3 n - 2/3 n

-4 = 4/3 n

multiply by 3/4 on each side

-4 * 3/4 = n

-3 = n

The number is -3

Ket [755]3 years ago

7 0

Answer:

n = -3

Step-by-step explanation:

Let the number be n. Then (2/3)n-4 = 2n.

Solve for n. To accomplish this, start by mult. both sides by 3, to remove the fractional coefficient: 2n - 12 = 6 n, or -12 = 4n. then n = -3 (answer)

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Also given that 1 foot = 0.3048 meters

need to find the volume of storage in cubic meter that is $m^3$

$\begin{array}{l}{\text { As } 1 \text { foot }=0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {\Rightarrow 1 \text { foot } \times 1 \text { foot } \times 1 \text { foot }=0.3048 \mathrm{m} \times 0.3048 \mathrm{m} \times 0.3048 \mathrm{m}} \\\\ {=1 \mathrm{foot}^{3}=0.0283 \mathrm{m}^{3}} \\\\ {\Rightarrow 1 \text { cubic feet }=0.0283 \mathrm{m}^{3}}\end{array}$