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coldgirl [10]
3 years ago
14

The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number

of cans of soda, x?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

0.85

Step-by-step explanation:

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56· 328+162· 44+166· 44−x =0<br> find x<br> the dot is to mutiply
Slav-nsk [51]

Answer:

x = 32800

Step-by-step explanation:

56 × 328 + 162 × 44 + 166 × 44 - x = 0

18368 + 7128 + 7304 − x = 0

32800 - x = 0

-x = -32800

x = 32800

8 0
2 years ago
Read 2 more answers
A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye
WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

The interest earned is:

I(t) = Prt

A bank loaned out $14000, in two parts, hence:

P_2 = 14000 - P_1

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

r_1 = 0.09, r_2 = 0.17

The interest received in one year totaled $2000, hence:

I_2 = 2000 - I_1

Then:

I_1 = 0.09P_1

I_2 = 0.17I_2

14000 - P_1 = 0.17(2000 - I_1)

Isolating I_1 as a function of P_1, then we can replace on the equation for the first interest.

14000 - P_1 = 340 - 0.17I_1

0.17I_1 = -13660 + P_1

I_1 = \frac{P_1 - 13660}{0.17}

Then:

I_1 = 0.09P_1

\frac{P_1 - 13660}{0.17} = 0.09P_1

P_1 - 13660 = 0.0153P_1

0.9847P_1 = 13660

P_1 = \frac{13660}{0.9847}

P_1 = 13872

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

3 0
2 years ago
Alonzo works as a car detailer. He charges $165 per car. He is planning to move out of his parents' house and rent his first apa
weqwewe [10]

Answer:

2 cars

Step-by-step explanation:

105 + 895 + 1120 = 2120

He has to pay 2120 of downpayment

2120 - 1919 = 201

Subtract what he already has

He needs 201 more dollars to rent his first apartment

He needs to do 1.21818182 cars...

You cant do 1/5 of a car so he has to do 2 cars

4 0
3 years ago
If 75% is £60 what is the full cost
fgiga [73]
If you would like to know what is the full cost if 75% is £60, you can calculate this using the following steps:

75% of x = £60
75% * x = £60
75/100 * x = 60     /*100/75
x = 60 * 100 / 75
x = £80

Result: The full cost is £80.

4 0
3 years ago
Help pls!!!!!!!!!!!!!!
kvasek [131]

Answer:

160 for each

Step-by-step explanation:

A normal distribution means that mean = median = mode. Furthermore, in a normal distribution, 68% of values are within 1 standard deviation of the mean, 95% of values are within 2 standard deviations, and 99.7% are within 3 standard deviation.

The mean is 150 and the standard deviation is 15. 165 and 135 1 standard deviation away from the mean, so 68% of values are between 135 and 165. This means that 32% of values are not between those values. A normal distributuion is symmetric, so 16% of values are greater than 1 standard distribution and 16% are less. Therefore, 16% of values (160) are less than 135 and 16% of values (160) are greater than 165

6 0
3 years ago
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