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erastova [34]
3 years ago
12

Solve the following word problem. A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rat

e of 40 mph. He takes a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y?
______ miles
Mathematics
2 answers:
Vladimir [108]3 years ago
6 0
Your answer would be 900 miles do you need to explain me to explain how I got the answer or do you just need the answer. glad I could help. write a Time equation time = distance on top of speed.
WITCHER [35]3 years ago
5 0
10 miles per hour from Town X to Town Y
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Answer:

<em>S</em><em>o</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>x</em><em>²</em><em>-</em><em>2</em><em>x</em><em>-</em><em>8</em>

<em>=</em><em> </em><em> </em><em> </em><em> </em><em> </em> x(x-2-8/x)

<em>2</em><em>)</em><em> </em><em> </em><em> </em><em>y</em><em>²</em><em>-</em><em>1</em><em>3</em><em>y</em><em>+</em><em>4</em><em>2</em>

<em> </em><em>=</em><em> </em><em> </em><em> </em>y(y-13+42/y)

<em>3</em><em>)</em><em> </em><em>m</em><em>²</em><em>-</em><em>6</em><em>m</em><em>-</em><em>7</em>

<em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>m</em><em>-</em><em>6</em><em>-</em><em>7</em><em>/</em><em>m</em><em>)</em>

<em>H</em><em>o</em><em>p</em><em>e</em><em> </em><em>i</em><em>t</em><em> </em><em>h</em><em>e</em><em>l</em><em>p</em><em>s</em>

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3 years ago
Which transformation can verify congruence by turning one triangle 90 degrees
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The answer to the question of yours is A. Rotation Its not B. because the question is asking by turning one triangle 90 degrees. This would mean that B. is incorrect since its turning. It wouldn't be C. because it isn't translating 90 degrees left or right its turning. And it most definitely wouldn't be D. Dilation because the triangle isn't decreasing or enlarging. Hope this helped feel free to ask any more questions.   
6 0
3 years ago
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valkas [14]
I believe it’s 7/10
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3 years ago
Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land
Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

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3 years ago
Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra
astra-53 [7]

Answer:

a. b. c. and d.  are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

                                  &

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

<em>a. 3/4 of a 4-gallon mix would be yellow paint.</em>

<em>True. 3 out of 4 gallon mix is yellow and 1 out 4 is red</em>

<em />

<em>b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.</em>

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

<em>1/3 gallon of red paint: 1 gallon of yellow paint. True</em>

<em />

<em>c. Every 1 gallon of red paint requires 3 gallons of yellow paint.</em>

<em>True. </em>1 gallon of red paint : 3 gallons of yellow paint

<em />

<em>d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.</em>

<em>True. 1 out of 4 is red and 3 out of 4 is yellow.</em>

<em />

<em>e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.</em>

<em />

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

<em />

6 0
3 years ago
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