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ELEN [110]
3 years ago
7

The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 m

iles per hour because of traffic. If the college is 60 miles from home, what is the average speed for the entire round trip? What is the average speed if the college is 40 miles from home?
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

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Select all the exspressions that are all equivalent to 20 percent of 150
Dmitriy789 [7]

<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>

<em></em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given that we have to determine the expressions which are equivalent to 20 percent of 150.

First, we need to determine what actually 20 percent of 150 really brings.

i.e

20% of 150 = 20/100 × 150

                   = 30

Thus,

20% of 150 = 30

Therefore, any expression that is equivalent to 30 will be included in the answer to this question.

4 0
2 years ago
$4,700 is invested in an account earning 6.2% interest (APR), compounded
pickupchik [31]

Answer:

(5 x (-20)) * (100 x (0.7))

4 0
2 years ago
Andrea has a goal of running at least 50 miles this month. She has already run 7 miles. How many miles does Andrea need to run e
Nuetrik [128]

Answer:

At least 1.72 miles per day.

Step-by-step explanation:

Given: Goal of running is at least 50 miles in a month.

           Andrea have already run 7 miles.

           Days left in the month is 25.

As given, Andrea have already run 7 miles.

∴ Andrea need to run this month= 50\ miles - 7\ miles= 43\ miles

Days remaining this month is 25.

Now, finding miles need to run each day to meet her goal.

Miles need to run each day= \frac{remaining\ miles}{remaining\ days}

⇒ Miles need to run each day= \frac{43}{25} = 1.72\ miles

∴ Andrea need to run at least 1.72 miles to meet her goal this month.

           

8 0
3 years ago
What is the answer to this question please explain (picture included)
Yakvenalex [24]
Easy peasy
just use PEMDAS and some exonential laws

(x^{m})(x^{n})=x^{m+n}
(x^{m})^{n}=x^{mn}
(ab)^{m}=(a^{m})(b^{m})

also another is x^{\frac{m}{n}}=\sqrt[n]{x^{m}}

so

[3(2a)^{\frac{3}{2}}]^{2}=
(3^{2})((2a)^{\frac{3}{2}}^{2})=
(9)((2a)^{\frac{3}{2}}^{2})=
(9)((2a)^{\frac{6}{2})=
(9)((2a)^{3}) =
(9)(8a^{3}) =
72a^{3}

3 0
3 years ago
Someone help me please! :D
alexandr402 [8]
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:

90 + 140 + (x - 10) + (x - 20) = 360

Combine like terms:

230 + 2x - 30 = 360

200 + 2x = 360

200 - (200) + 2x = 360 - (200)

2x = 160

Divide both sides by 2:

2x/(2) = 160/(2)

x = 80
3 0
3 years ago
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