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Alecsey [184]
3 years ago
11

use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additio

nal fee for a helmet is $3 for the entire ride​
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

<h2>You will ride for 4 hrs 8min</h2>

Step-by-step explanation:

What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.

firstly we need to model the inequality (equation) for this scenario.

the constant fee= $3 additional fee for helmet

3+15n\leq 65\\\\

We can now solve for n since the above inequality satisfies the condition presented in the problem statement.

 3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62

Divide both sides by 15 to find n

n\leq 62/15\\\\n\leq 4hrs -8min

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Simplify 5(×-y)-(x-y)
Grace [21]

Answer:

4x -4y

Step-by-step explanation:

5(x-y)-(x-y)

Distribute

5x -5y - x +y

Combine like terms

5x -x -5y +y

4x -4y

8 0
3 years ago
Read 2 more answers
3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
valentinak56 [21]

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

5 0
3 years ago
In training to run a half marathon, Jenny ran 2/5 hours on Tuesday, 11/6 hours on
maria [59]

Answer:

Total hours that Jenny ran = 3.63 hours.

Step-by-step explanation:

Jenny ran on Tuesday for = 2/5 hours or 0.4 hours.

Time consumed to run on Thursday = 11/6 hours or 1.83 hours.

Time consumed to run on Saturday = 21/ 15 hours or 1.4 hours.

Here, the total hours can be calculated by just adding all the running hours. So the running hours of Tuesday, Thursday, and Saturday will be added to find the total hours.

Total hours that Jenny ran = 0.4 + 1.83 + 1.4 = 3.63 hours.

6 0
3 years ago
Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value
sineoko [7]

The value of the logarithmic expression  \log _a (\frac{x^3y}{z^4} ) is 24.

Given the following logarithmic expressions \log _ax = 3, \log _ay = 7, \log _az = -2 , we are to find the value of \log _a (\frac{x^3y}{z^4} )

from the above \log _ax = 3, x = a^3

\log _ay = 7, y = a^7

Substituting x = a^3, y = a^7  and z = a^{-2} into the log function\log _a (\frac{x^3y}{z^4} )  we will have;

\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>
  • In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
  • Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0
2 years ago
By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its bas
xeze [42]
We have that 
the volume of a right square pyramid ---------- > (1/3)b²h

Let
V1------------ > initial volume
V1=(1/3)b²h

<span>if its height is multiplied by 8
</span>
V2=(1/3)b²(8h)-------------- > V2=V1*8

 therefore

the answer is the option D

the factor is is 8
5 0
3 years ago
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