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kondaur [170]
3 years ago
14

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph. At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the sa

me route. If the cities are 260 miles, what time do they meet?
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer: They meet after 1 hour 42 minutes.

Step-by-step explanation:

Since we have given that

Dana leaves Las Vegas for LA at 2 p.m. driving at 55 mph.

Let the time taken by Dana be 't'.

Distance traveled by Dana would be 55t.

At 4 p.m. Lance leaves LA for Las Vegas driving at 45 mph along the same route.

It means after 2 hours Lance leave for LA.

So, time taken by Lance be 't-2'.

Distance traveled by Lance would be 45(t-2)

Total distance  = 260 miles

According to question, it becomes,

55t+45(t-2)=260\\\\55t+45t-90=260\\\\100t=260-90\\\\100t=170\\\\t=1.7\ hours=1\dfrac{7}{10}=1\ hour\ and\ \dfrac{7\times 60}{10}\ minutes=1\ hour\ 42\ minutes

Hence, they meet after 1 hour 42 minutes.

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3 years ago
A(n) ________ requires member nations to harmonize their tax, monetary, and fiscal policies and create a common currency. common
Citrus2011 [14]

Answer:

Economic union

Explanation:

Economic union -

It is the form of a trade bloc that is made up of the common market along with the customs union , is known as the economic union .

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7 0
4 years ago
A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. What is th
Dmitry_Shevchenko [17]

Answer:

About 41.5%

Step-by-step explanation:

<em>Given:</em>

<em>A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. </em>

<em>To Find:</em>

<em>What is the probability that both grapes are red?</em>

<em>Answer choices:</em>

<em>about 39.7% </em>

<em>about 41.5%</em>

<em> about 42.5% </em>

<em>about 44.5%</em>

<em>Solution:</em>

<em>Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 . </em>

<em>As the red grapes are 15.. </em>

<em>Thus, </em>

<em>The probability of choosing a red grape the first time is 15/23.</em>

<em>Because out of the total 23 grapes only 15 were red grape.</em>

<em> The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice</em>

<em>Hence, the probability of choosing or eating two red grapes will be :</em>

<em>15/23×14/22 </em>

<em>=105/253 </em>

<em>=0.415</em>

<em>= 41.5% </em>

<em>Therefore, the probability that both grapes are red is about 41.5%</em>

<u><em>Kavinsky</em></u>

4 0
2 years ago
GCF of 28,42,and 56.<br><br> Please show work
natta225 [31]
<h2>Answer:  14</h2>

Step-by-step explanation:

If we factorize the numbers, we may be able to surmise the GCF:

28 = 2 × 2 × 7

42 = 2 × 3 × 7

56 = 2 × 2 × 2 × 7

∴ the GCF is 2 × 7 = 14

4 0
3 years ago
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