Ashley needs to ride her bike to her friends house 96 miles away. She is riding at an average rate of 15 miles per hour. She has 6 hours to get there. Will she make it?

Answers

Answer 1
Answer:

The relationship between Speed, Distance and Time can be expressed as:

                                       \rm Distance = Speed * Time

The total distance to be covered is 96 kilometres. Ashley couldn't cover it with existing speed and in available time.

Given:

 \rm{Average\; speed \;of\; Ashley} =(15\;mile)/(hour)

             \rm{Time\; available}    =   6\;hours

Now, calculate the maximum distance that is possible to cover.

          \begin{aligned}\rm Distance &= \rm{Speed * Time}\n&=15 * 6\n&=90\end{aligned}        

                       

The total distance to be covered by her is 96 kilometres. Ashley could cover only 90 kilometres.

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Answer 2
Answer: Average speed of Ashley = 15 miles per hour

Time she has = 6 hours

Distance can be covered = speed × time = 15×6 = 90 miles

But the distance of her friend's house is 96 miles.

So she will not be able to make it.

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Circle R has a radius of 6, and QP is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of ∠RQP ? Explain your answer. (b) What is the length of RP ? Explain your answer. (c) What is the length of RS ? Explain your answer. (d) What is the length of SP ? Explain your answer.

Answers

RQ = 6; RS = 6 ; these are radius

The triangle formed is right triangle. ∠RQP = 90°

QP = 8 ; this is the long leg.
RQ = 6; this is the short leg
RP = ? is the hypotenuse

a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
10 = c

The hypotenuse is 10, but RS is part of the hypotenuse, it has a measure of 6.

6 + x = 10
x = 10 - 6
x = 4   length of SP


Use a two-column proof to prove the Triangle Proportionality Theorem:

Answers

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). (AD)/(AB)=(AE)/(AC)                                           6). Definition of two similar triangles

Hence proved.  

What the difference 400 273

Answers

The difference between the numbers  400 and 273 is  127 obtained by subtracting 273 from 400.

The difference between 400 and 273 is obtained by subtracting 273 from 400:

Four hundred minus two hundred seventy three

400 - 273

= 127

Therefore, the difference between 400 and 273 is 127.

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The difference of 400 and 273

400 - 273 = 127

Answer: 127

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A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?

Answers

The aquarium holds 80 quarts of water.

We have,

In the United States customary system, there are 4 quarts in 1 gallon.

This conversion factor is a constant ratio that allows us to convert between gallons and quarts.

So, when we have 20 gallons of water, we can multiply it by the conversion factor of 4 quarts/gallon to find out how many quarts it is equivalent to:

20 gallons x 4 quarts/gallon = 80 quarts

Therefore,

The aquarium holds 80 quarts of water.

The conversion factor helps us determine the equivalent amount of one unit to another.

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Let's find out what 1 gallon of water is first.1 gallon is equivalent to 4 quarts.20 gallon is equivalent to 80 quarts.What we do here is to multiply: 20 gallons • 4 quarts = 80 quartsThe answer is 80 quarts.

Find the difference. (2x^2 - 3x + 7) - (x^2 + 6x - 12)A) A) x^2 + 3x - 5


B) x^2 - 3x + 19


C) x^2 - 6x + 12


D) x^2 - 9x + 19

Answers

Its D.

(2x^2 - 3x + 7) - (x^2 + 6x - 12)

Distribute the negative over the second parentheses:-

= (2x^2 - 3x + 7) - x^2 - 6x + 12

= x^2  - 9x + 19    (answer)

Does the word each mean multiply

Answers

no, each does not mean to multiply, but it also depends on the question