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Strike441 [17]
2 years ago
6

Avery bought a flute that cost $430. She paid a 6 1/2% sales tax rate. What was the total cost of the flute?

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

457.95

Step-by-step explanation:

430 + 6.5% (27.95) = 457.95

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Two trains are 210 miles apart, and their speeds differ by 17 mph. Find the speed of each train if they are traveling toward eac
Marizza181 [45]
V1 - velocity first train
v2 - velocity second train
v2 > v1

v2 - v1 = 17 mph

We know, that: 
s_1+s_2=210 \ [miles] \\ \\ t_1=t_2=2h

So:

v_1=\dfrac{s_1}{t_1}=\dfrac{s_1}{2} \\ \\ v_2=\dfrac{s_2}{t_2}=\dfrac{s_2}{2} \\ \\ \\ v_1+v_2= \dfrac{s_1}{2}+\dfrac{s_2}{2} \\ \\ v_1+v_2= \dfrac{s_1+s_2}{2} \\ \\  v_1+v_2= \dfrac{210}{2}=105

NOw we've got simple system of equations:

+\begin{cases} v_2-v_1=17 \\ v_2+v_1=105\end{cases} \\ \\ 2v_2=122 \qquad /:2 \\ \\ v_2=61 \qquad [mph] \\ \\ v_2-v_1=17 \\ \\ 61-v_1=17 \\ \\ v_1=44

Velocities of these trains are  61mph  and 44mph

3 0
3 years ago
Read 2 more answers
Write this expression using exponents
alexdok [17]

Answer:

4p^{2} or 4p^2

Step-by-step explanation:

Combine like terms:

4 x 4 and p x p

4^2 and p^2

4p^2

4 0
2 years ago
How does using a bar diagram help you in predicting the solution to ratio and rate problems?
jeka94
Bar graph display directly the varibales which are the rate and ratio of the numbers to visualize and display the results, these contrasting the different outcomes. On the contrary, histogram is used in grouped frequency parameters. Moreover, as little as the given five parameters or data set this will be ineffective and will result to a bar graph only and basically, the suited option is the aforementioned vertical graph to display the numbers. To expound on the definition of histogram it is used when the frequency is grouped. For example the data set of 1-5, 6-10, 11-15 and 16-20 this now can be used and applied to illustrate histogram because of the number and quantity of the given data.<span>
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3 0
3 years ago
Lucy rented a movie. She started the movie at 9:48 a.m. and it was 3 hours 39 minutes long. When did the movie end
iren2701 [21]

Think through this one...

9:48 + 9 minutes = 9:57

9:57 + 30 minutes = 10:27

10:27 + 3 hours = 1:27 p.m.

6 0
2 years ago
Read 2 more answers
2/(a-7)(a+2)=4/(a+3)(a+2)
pochemuha
\frac{2}{(a - 7)(a + 2)} = \frac{4}{(a + 3)(a + 2)}

\frac{2}{(a^{2} + 2a - 7a - 14)} = \frac{4}{(a^{2} + 2a + 3a + 6)}

\frac{2}{a^{2} - 5a - 14} = \frac{4}{a^{2} + 5a + 6}

2(a^{2} + 5a + 6) = 4(a^{2} - 5a - 14)
2(a^{2}) + 2(5a) + 2(6) = 4(a^{2}) - 4(5a) - 4(14)
2a^{2} + 10a + 12 = 4a^{2} - 20a - 56
2a^{2} - 2a^{2} + 10a + 12 = 4a^{2} - 2a^{2} - 20a - 56
10a + 20a + 12 = 2a^{2} - 20a + 20a - 56
30a + 12 + 56= 2a^{2} - 56 + 56
\frac{30a + 68}{2} = \frac{2a^{2}}{2}
15a + 34 = a^{2}
\sqrt{15a + 34} = a
6 0
2 years ago
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