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TiliK225 [7]
3 years ago
15

What is the unit rate for the proportional relationship represented by the equation y=4/5x

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

<em>the unit rate is 0.8x per unit y</em>

<em></em>

Step-by-step explanation:

the proportional relationship is y = \frac{4x}{5}

this means that the constant of proportionality k = \frac{4}{5} = 0.8

re-writing, we have

<em>y = 0.8x</em>

<em>therefore, the unit rate is 0.8x per unit y</em>

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Brandon buys a radio for $45.09 in a state where the sales tax is 7%. How much does he pay in taxes? If necessary round to the n
dusya [7]

Answer:

Step-by-step explanation:

tax = 7% of $45.09 = 0.07×$45.09 ≅ $3.16

Total cost = $45.09 + $3.16 = $48.25

5 0
3 years ago
Take apart the number to make a 10. Then subtract
Svetllana [295]

Answer:

Whats the question?

Step-by-step explanation:

4 0
3 years ago
Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours dur
Gelneren [198K]
I am setting the week hourly rate to x, and the weekend to y.  Here is how the equation is set up:

13x + 14y = $250.90
15x + 8y = $204.70

This is a system of equations, and we can solve it by multiplying the top equation by 4, and the bottom equation by -7.  Now it equals:

52x + 56y = $1003.60
-105x - 56y = -$1432.90

Now we add these two equations together to get:

-53x = -$429.30 --> 53x = $429.30 --> (divide both sides by 53) x = 8.10.  This is how much she makes per hour on a week day.

Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
7 0
3 years ago
Read 2 more answers
Please help me pleaseee
devlian [24]
I’m pretty sure it’s CB since it’s going the opposite direction!! :)
6 0
3 years ago
Say you have $14,000 to invest into an investment account. You can either invest your money into an account with a 7% annual int
taurus [48]

Answer:

You should choose an account with a 7% annual interest rate which is compounded quarterly

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

part 1)

we have  

t=15\ years\\ P=\$14,000\\ r=0.07\\n=4  

substitute in the formula above  

A=14,000(1+\frac{0.07}{4})^{4*15}

A=14,000(1.0175)^{60}  

A=\$39,645.43  

part 2)

we have  

t=15\ years\\ P=\$14,000\\ r=0.068\\n=12  

substitute in the formula above  

A=14,000(1+\frac{0.068}{12})^{12*15}

A=14,000(1.0057)^{180}  

A=\$38,713.11  

7 0
3 years ago
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