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3 years ago

Simplify. −8−1+4 ⋅ 2

Mathematics

1 answer:

il63 [147K]3 years ago

6 0

Adding -8-1 you get -9+ 4 gives -5 multiplied by 2 equals -10

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The circumference of a circle is 11pi inches. What is the area, in square inches, of the circle? Express your answer in terms of

Eva8 [605]

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=11\pi \end{cases}\implies 11\pi =2\pi r\implies \cfrac{11\pi }{2\pi }=r\implies \boxed{\cfrac{11}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad \implies A=\pi \left( \cfrac{11}{2}\right)^2\implies A=\pi \left( \cfrac{11^2}{2^2}\right)\implies A=\cfrac{121\pi }{4}$

4 0

4 years ago

Nicole used a total of 5 1/6 gallons of gas while driving her car. Each hour she was driving, she used 5/9 gallons of gas what w

Gennadij [26K]

Let's write the total of gallons in improper fraction:

Step 1: Multiply the denominator by the whole number

6 × 5 = 30

Step 2: Add the answer from Step 1 to the numerator

30 + 1 = 31

Step 3: Write answer from Step 2 over the denominator

5 1/6 = 31 / 6

Let's divide the total gallons by what she used each hour to get the number of hours:

$\dfrac{31}{6} \ : \ \dfrac{5}{9} = \dfrac{31}{6}\ \cdot \ \dfrac{9}{5} = \dfrac{31}{2}\ \cdot \ \dfrac{3}{5} = \dfrac{93}{10}$

Let convert the improper fraction to mixed number:

93/10 = 9 3/10

<h2>She was driven a total of 9 3/10 hours</h2>

6 0

1 year ago

Leon correctly found the slope and y-intercept of the line that passes through the points (9, –8) and (3, 4) as follows.

Anna11 [10]

Answer:

$\displaystyle y = -2x + 10$

Step-by-step explanation:

The work is already done. This is EXACTLY how you find the parallel line, however, two answer choices are an EXACT REPLICA of each other. Perhaps there was a typographical error?

I am joyous to assist you anytime.

6 0

3 years ago

In the figure, angle D measures 31° and angle A measures 27

patriot [66]

The acute angles of a right triangle are complementary, so:

$m\angle B=90-27=\boxed{63^{\circ}}\\m\angle F=90-31=\boxed{59^{\circ}}$

3 0

2 years ago

an investment is expected to pay 5 per year compounded continuously. If you want the value of the investment to be $700,000 afte

andre [41]

The multiplier for continuous compounding is e^(rt). You want
700,000 = P·e^(0.05·25) ≈ 3.490343P
Then
700,000/3.490343 = P

You should invest $200,553 initially.

8 0

4 years ago