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lapo4ka [179]
3 years ago
5

Stan is on a bike ride. His GPS indicates that he has traveled exactly 18 miles and he is 32% complete with his total ride. How

many miles long is Stan's ride?
Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0
His journey is 62 miles long
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A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the fac
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Answer:9400 backpacks

\geqStep-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 \geq 7800

20x - 11,000 \geq 7,800

20x \geq 7800+ 11000

20x \geq 18,800

x \geq 18800/2

x \geq 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

7 0
3 years ago
Write the expression as a single logarithm
vredina [299]

3\log_7y + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - \log_7z^{5})\\\log_7y^{3} + 4(\log_7(\frac{x}{z^{5}}))\\\log_7y^{3} + \log_7(\frac{x}{z^{5}})^{4}\\\log_7(y^{3} \times (\frac{x}{z^5{5}})^{4})

4 0
3 years ago
Two hot air balloons are traveling along the same path away from a town,
horsena [70]

Answer:

it si this

Step-by-step explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

8 0
3 years ago
Read 2 more answers
What is 2÷7? Please help me, and explain
notsponge [240]

Answer:

0.2857142857142857 is the answer

8 0
3 years ago
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Help with this math question please
Liono4ka [1.6K]
Principal Amount = P = $ 4100
Interest rate = r = 7.25% = 0.0725
Time in years = t = 8 years
Amount accumulated = A

Formula for compound interest is:

A=P e^{rt}

Using the given values, we get:

A=4100 e^{0.0725*8}=7322.76

Rounding of to nearest hundredth, the balance in the account after 8 years will be $7322.76
7 0
3 years ago
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