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-Dominant- [34]
3 years ago
7

a system of equations is shown below:x y = 32x −y = 6the x-coordinate of the solution to this system of equations is

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
X + y = 32 . . . . . . . . (1)
x - y = 6 . . . . . . . . (2)
(1) + (2): 2x = 38
x = 19
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Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate
Rama09 [41]
3/8 mile in 3/5 hour
\frac{ \frac{3}{8} }{ \frac{3}{5} }
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
\frac{ \frac{5}{3} }{ \frac{5}{3} } to get

\frac{ \frac{15}{24} }{ \frac{15}{15} }=
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7 0
3 years ago
Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco
Elza [17]

~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}

5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}

4 0
1 year ago
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel
kow [346]

Answer:

5P5×20P15

Step-by-step explanation:

A school bus has 25 seats, with 5 rows of 5 seats.

15 students from the first grade and 5 students from the second grade travel in the bus.

second-grade students occupy the first row.

The 5 students of second grade are to be seated in 5 seats,this can be done in:

5P5 ways where P is the permutation

Now 15 students from first grade are to be arranged in remaining 20 seats

This can be done in:

20P15 ways

Hence, total ways student can be seated is:

5P5×20P15

6 0
3 years ago
Which of the following ordered pairs could represent the x-intercept of a function?
bearhunter [10]
The answer is (15,0) because the format is (x,y) so (15,0) means that it is on the x axis only ! 
6 0
3 years ago
Simplify (16+28/2-6)/10-4*2
Tpy6a [65]

Answer:

-5.6 is the answer if you solve it. i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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