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lana [24]
3 years ago
13

So for this answer I got 5 hrs. > 38.13 - 12 = 26.13/4.75 = 5 (rounded). However, my answer is wrong. Not sure how else I can

solve this. Please help.

Mathematics
1 answer:
Archy [21]3 years ago
8 0

9514 1404 393

Answer:

  38.13 = 12 +4.75h

  5.5 hours

Step-by-step explanation:

(a) The charge (c) for renting a bike for h hours is ...

  c = helmet charge + hourly charge × hours

  c = 12.00 +4.75h

To find the number of hours when the charge is 38.13, we would use the equation ...

  38.13 = 12.00 +4.75h

__

(b) To solve this 2-step linear equation, we first subtract the constant

  26.13 = 4.75h

then we divide by the coefficient of the variable.

  26.13/4.75 = h ≈ 5.5

Amanda rented the bike for 5.5 hours.

_____

<em>Additional comment</em>

The result of the division is a long repeating decimal that starts off 5.50105263.... The instructions tell you to round this to the nearest tenth: 5.5. It helps to follow instructions.

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Find the square. (1/4A + 1/4B)^2<br><br> a) 1/16A^2 + 1/8AB + 1/16B^2<br> b) 1/4A^2 + 1/8AB + 1/4B^2
alisha [4.7K]

(a + b)^2 = a^2 + 2ab + b^2

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B^2

Answer: A.

Another way to solve by factoring 1/4.

(\dfrac{1}{4}A + \dfrac{1}{4}B)^2 =

= [\dfrac{1}{4}(A + B)]^2

= (\dfrac{1}{4})^2(A + B)^2

= \dfrac{1}{16}(A^2 + 2AB + B^2)

= \dfrac{1}{16}A^2 + \dfrac{1}{16}2AB + \dfrac{1}{16}B)^2

= \dfrac{1}{16}A^2 + \dfrac{1}{8}AB + \dfrac{1}{16}B)^2

6 0
3 years ago
Read 2 more answers
Please solve the problem with steps
Debora [2.8K]

Answer:

Infinite series equals 4/5

Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

\frac{3^{n-1}-1}{6^{n-1}} =\frac{3^{n-1}}{6^{n-1}} -\frac{1}{6^{n-1}} =(\frac{1}{2})^{n-1} -\frac{1}{6^{n-1}}

The first one: (\frac{1}{2})^{n-1} is a geometric sequence of first term (a_1) "1" and common ratio (r) " \frac{1}{2} ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{2} } =\frac{1}{\frac{1}{2} } =2

The second one: \frac{1}{6^{n-1}} is a geometric sequence of first term "1", and common ratio (r) " \frac{1}{6} ". Again, since the common ratio is smaller than one, we can find its infinite sum:

Infinite\,Sum=\frac{a_1}{1-r} = \frac{1}{1-\frac{1}{6} } =\frac{1}{\frac{5}{6} } =\frac{6}{5}

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 2-\frac{6}{5} =\frac{10-6}{5} =\frac{4}{5}

8 0
3 years ago
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Mrs. Long just got a new puppy! The puppy is learning how to run on hard wood floors. The puppy is running at a rate if 4 feet p
Igoryamba

Answer:

Points apply to the given situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

Step-by-step explanation:

We have given,

A puppy is running at a rate = 4 feet per second

A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.

So, time taken by puppy to reach the wall =

i.e. time take by puppy to reach the wall =  = 5 seconds

 Now we write the points that apply to this situation:

(a)The puppy will run into the wall after 5 seconds

(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}

(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.

6 0
3 years ago
12) Josh has $252 in his bank account. This is $12 more than 6 times the amount of money
OLga [1]

Answer:

40

Step-by-step explanation:

(252-12)/6=40

7 0
3 years ago
What is the side length of a cube with volume 343 in squared?
Thepotemich [5.8K]
Hi there!

The formula for a square is V = s^3. Using this formula, we can plug in the volume and solve for s.

WORK:
343 = s^3
s = 7

ANSWER:
The side length of a cube with volume 343 is 7 inches.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
6 0
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