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Talja [164]
3 years ago
8

The total cost to go horseback riding is x dollars per hour plus a $3 fee for renting a helmet. Write an expression to represent

the cost, in dollars, for 5 people to go horseback riding for 3 hours each
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

The answer is 15x + 15

Each person needs to pay x dollars per hour, and also 3 dollars for a helmet

Let us convert this into a pseudo-expression:

1 person = (x dollars) x (y hours) + 3 dollars

Now, it says that there are 5 people, so we need to multiply both sides by 5

5 people = 5 x (x dollars) x (yhours) + 3 x 5 dollars

Furthermore, it says that each person wants to go horseback riding for 3 hours:

5 people = 5(x dollars) x (3 hours) + 15 dollars

Now, we just need to convert this into an expression

5 people = 5(x)(3) + 15

5 people = 15x+15

They want the expression for cost, so we just need to give them

15x + 15

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Answer:

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Step-by-step explanation:

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y=kx and y=\frac{k}{x} are two equations of constant of proportionality

Step-by-step explanation:

          There are two equations for the constant of proportionality. That is

                       (i) Direct proportion

                       (ii) Inverse proportion

          In direct proportion y=kx, Now

                  if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

         In Inverse proportion y=\frac{k}{x}, Now

                 if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

         In direct proportion, we put y=1 and x=2, So k=\frac{1}{2}.

         So, the equations y=kx and y=\frac{k}{x} are two equations of constant of proportionality.

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3 years ago
The price of a product increased by $75, which was a 15% increase. What was the product's original price?
Leni [432]
75 x 15= 1,125
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In the past month, Lashonda rented 7 video games and 1 DVD. The rental price for each video game was $2.90The rental price for t
nikdorinn [45]
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8 0
3 years ago
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Part A
Nat2105 [25]

Answer:

A.  f(n) =0.2n+4.8

B. The y intercept is 4.8

Step-by-step explanation:

Given

a_n= 5 + 0.2(n-1)

Solving (a): Write as a function.

To do this, we simply substitute f(n) for a_n

a_n= 5 + 0.2(n-1) becomes

f(n)= 5 + 0.2(n-1)

Open Bracket

f(n) = 5 + 0.2n-0.2

Collect Like Terms

f(n) =0.2n-0.2 + 5

f(n) =0.2n+4.8

B. The y intercept.

To get the y intercept, we set n to 0

i.e

f(0) =0.2 * 0+4.8

f(0) =0+4.8

f(0) =4.8

Hence, the y intercept is 4.8

4 0
2 years ago
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