Mathematics: Mary mentions that she spends only 5% of her weekly income on entertainment. you know that she usually spends about $10.00. what s her weekly income?

Mary mentions that she spends only 5% of her weekly

yeicooyola3

11.03.2022

Mary's weekly income is $200.

Step-by-step explanation:

Let x be the Mary's weekly income.

It is given that Mary spends only 5% of her weekly income on entertainment.

Total amount she spends on entertainment is

$Expense=x\times \frac{5}{100}=0.05x$

It is also given that she usually spends about $10.00.

0.05x=10

Divide both sides by 0.05.

$\frac{0.05x}{0.05}=\frac{10}{0.05}$

x=200

Therefore, Mary's weekly income is $200.

0,0(0 оценок)

fattypickeltoefungus

31.08.2022

Option (1). Sin(b°) = $\frac{3}{5}$

Step-by-step explanation:

In a triangle JKL, tan(b°) = $\frac{3}{4}$ and cos (b°) = $\frac{4}{5}$

If ΔJKL is dilated by a scale factor of $\frac{1}{2}$ , angles will remain unchanged.

Triangle formed after dilation will be similar to triangle JKL.

Since, tan(b°) = $\frac{\text{Sinb}}{\text{Cosb}}$

Therefore, $\frac{3}{4}=\frac{sinb}{\frac{4}{5}}$

Sin(b°) = $\frac{3}{4}\times \frac{4}{5}$

Sin(b°) = $\frac{3}{5}$

Option (1). Sin(b°) = $\frac{3}{5}$ will be the answer.

0,0(0 оценок)