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2 years ago

12

Margie's car can go 32 miles on a gallon of gas, and gas currently costs $4 per gallon. How many miles can Margie drive on $20 w

orth of gas ?

1 answer:

Rudiy272 years ago

5 0

32 miles = 4 dollars per gallon.

32 * 5 = 160

160 miles on 20 dollars of gas.

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2 An art studio charges $65 per month for art lessons. There is also an additional supply fee of $25 at the time of registration

Bond [772]

Answer:

The equation should be, <em><u>65m+25=c</u></em>

3 0

2 years ago

Read 2 more answers

Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)

antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

$tan(2x) = \frac{2tan(x)}{1-tan^2(x)}$

Given expression is

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}$

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 )$

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(10 )$

So the answer is tan(10) .

6 0

3 years ago

Sarah borrowed some money from her father at a simple interest rate of 5.5% to pay for her college tuition. At the end of the ye

gavmur [86]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount}
\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &\$2555\\
P=\textit{original amount deposited}\\
r=rate\to 5.5\%\to \frac{5.5}{100}\to &0.055\\
t=years\to &1
\end{cases}
\\\\\\
2555=P[1+(0.055)(1)]\implies \cfrac{2555}{1+(0.055)(1)}=P
\\\\\\
\cfrac{2555}{1.055}=P\implies 2421.800947867 \approx P$

4 0

3 years ago

These are the fees for sending a package by Media Mail:

Serga [27]

For first pound it is = $2.41
For next six, = 0.41 * 6 = $2.46

Remaining = 7.99 - (2.41 + 2.46) = 7.99 - 4.87 = 3.12

Now, additional pounds = 3.12 / 0.39 = 8
Total weight = 1 + 6 + 8 = 15

In short, Your Answer would be 15 pounds

Hope this helps!

6 0

3 years ago

Find the percent of change from

Mashcka [7]

Answer:

option 4

Step-by-step explanation:

Percent change is calculated as

$\frac{change}{original}$ × 100%

change = 15 - 10 = 5 , then

percent change = $\frac{5}{10}$ × 100% = 5 × 10% = 50%

8 0

2 years ago