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drek231 [11]
3 years ago
5

C = 4x + 5y, the value of "x" when C = 51 & y = -3 is: =16.5 =9 =-16.5 =13

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

16.5

Step-by-step explanation:

Just put in the values of C and y first into the expression.

C = 4x + 5y

Put in values.

51 = 4x + 5(-3)

Evaluate.

51 = 4x + (-15)

Swap positions.

4x + (-15) = 51

Shift (-15) to the other side and change to (+15).

4x = 51 + 15

    = 66

Find x.

x = 66 ÷ 4

x = 16.5

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4 0
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A shirt originally cost $36.15, but it is on sale for $30.73. What is the percentage decrease of the price of the shirt? If nece
stealth61 [152]

Answer:

The percentage decrease of the shirt's price is 15%.

Step-by-step explanation:

1) divide 36.15 by 30.75

30.75/36.15=0.85

2) Multiply 0.85 by 100 to find the percentage between the original and sale costs of the shirt

0.85(100)= 85%

3) Find the difference between 85% and 100% to find the percentage difference

100%-85%= 15%.

Therefore, the answer is 15%.

Hope this helps!

8 0
3 years ago
The scale on a map shows as 1:5000000. What would be the length on the map if the length of a road in
SVEN [57.7K]

Answer:

70 cm

Step-by-step explanation:

\frac{1}{5 * 10^{6} }  = \frac{d}{350} \\\\d = \frac{350}{5 * 10^{6} } \\\\d = 7 * 10^{-5} km = 7 * 10^{-5} * 10^{6} cm = 70 cm

6 0
3 years ago
How long would it take for money to double at 11% interest compounded quarterly?
vlada-n [284]

Answer: Approximately 6.3876 years

When rounding to the nearest whole number, this rounds up to 7 years.

===============================================================

Work Shown:

We'll use the compound interest formula

A = P*(1+r/n)^(n*t)

where,

  • A = amount of money after t years
  • P = initial deposit amount or principal
  • r = interest rate in decimal form
  • n = compounding frequency
  • t = number of years

In this case, we know that,

  • A = 2P, since we want the initial amount to double. P can be any positive real number you want and it doesn't affect the answer.
  • r = 0.11
  • n = 4, since we're compounding 4 times a year
  • t = unknown, what we want to solve for

So,

A = P*(1+r/n)^(n*t)

2P = P*(1+r/n)^(n*t)

2 = (1+r/n)^(n*t)

2 = (1+0.11/4)^(4*t)

2 = 1.0275^(4t)

Ln(2) = Ln(1.0275^(4t))

Ln(2) = 4t*Ln(1.0275)

4t*Ln(1.0275) = Ln(2)

t = Ln(2)/(4*Ln(1.0275))

t = 6.38758965414661

It takes roughly 6.3876 years for the deposit to double. If you need this to the nearest whole number, then round up to 7. We don't round to 6 because then we would come up short of the goal of doubling the deposit.

5 0
3 years ago
last month, a bookstore ran the following at and sold 85 calculators, generating $4,083 in sales. How many of each type of calcu
Scilla [17]

Answer:

31 scientific calculators

54 graphing calculators

Step-by-step explanation:

X = number of $15 calculators

Y = number of $67 calculators

X+Y = 85   then X = 85-Y

15X+67Y = 4083

substitute for X

15(85-Y)+67Y = 4083

1275 - 15Y + 67Y = 4083

reduce

52Y = 2808

Y = 54

X = 31

6 0
3 years ago
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