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Harrizon [31]
4 years ago
8

What is the solution of the equation 9 = -2x + 15? A -21 B -12 C 3 D 12

Mathematics
2 answers:
Nataly [62]4 years ago
7 0
I think the answer is c: three
Maru [420]4 years ago
6 0
The answer would be C (3)
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What is the volume of the prism?
mezya [45]

Answer:

40 \frac{5}{8} cm^{3}

Step-by-step explanation:

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length =  6 \frac{1}{2} cm

width  =  2 \frac{1}{2} cm

height  =  2 \frac{1}{2} cm

If you plug everything you have in the problem into the volume equation, you would get : Volume = 6 \frac{1}{2} cm x 2 \frac{1}{2} cm x 2 \frac{1}{2} cm.

Without a calculator, I would first turn the mixed numbers into improper fractions.

  • 6 \frac{1}{2}  = \frac{13}{2}
  • 2 \frac{1}{2} = \frac{5}{2}

Volume = \frac{13}{2} x  \frac{5}{2} x  \frac{5}{2}

When you multiply everything together you should get \frac{325}{8}.

As a mixed number, that would be 40 \frac{5}{8} cm^{3}.

7 0
3 years ago
A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts
ira [324]

Answer:

126 parts in 9 and a half hours

Step-by-step explanation:

56 parts in 4 hours

that means 56 parts in 240 mins

9 hours and 30 minutes in minutes is 570 minutes

56m parts:240 mins

                 540 mins

to get to 540 from 240, you multiply by 2.25.

you can work this out by doing 540 divided by 240

now, multiply 56 by 2.25.

the answer is 126 parts

5 0
3 years ago
For his birthday, Tyrone's parents gave him $7,790.00 which they put into a savings account that earns 15% interest compounded m
torisob [31]

Answer:

5 years and 5 months

Step-by-step explanation:

<u />

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P(1+\frac{r}{n})^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • A = $17,474.00
  • P = $7,790.00
  • r = 15% = 0.15
  • n = 12
  • t = number of years

Substitute the given values into the formula and solve for t:

\implies \sf 17474=7790\left(1+\dfrac{0.15}{12}\right)^{12t}

\implies \sf \dfrac{17474}{7790}=\left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=\ln \left(1.0125}\right)^{12t}

\implies \sf \ln\left(\dfrac{17474}{7790}\right)=12t \ln \left(1.0125}\right)

\implies \sf t=\dfrac{\ln\left(\frac{17474}{7790}\right)}{12 \ln \left(1.0125}\right)}

\implies \sf t=5.419413037...\:years

Therefore, the money was in the account for 5 years and 5 months (to the nearest month).

3 0
2 years ago
Read 2 more answers
A picture frame can hold a photograph that is 16 inches long and 12 inches wide.
Mila [183]

Answer:

192 inches because 16×12=192

8 0
3 years ago
Mrs. Stern washed
bekas [8.4K]

Answer:

Mrs. Stern washed more

\frac{7}{20} laundry still needs to be washed.

Step-by-step explanation:

Total amount of laundry: \frac{20}{20}

\frac{20}{20} -\frac{2}{5}-\frac{1}{4} =

\frac{20}{20} - \frac{8}{20} -\frac{5}{20} =

\frac{7}{20} of the laundry still needs to be done.

Mrs. Stern washed \frac{8}{20} of the laundry.

Her son washed \frac{5}{20} of the laundry.

Mrs. Stern washed more laundry than her son.

8 0
3 years ago
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