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olasank [31]
3 years ago
10

Someone please help me with #6! I don't know how to write a ratio for this:(

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0
The percentage would be 73% but idk the rest 
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It takes Mike 1 hour to get to work each day. He first rides the train, which travels at an average rate of 65 miles per hour. T
Pepsi [2]

Answer:

Time_subway = 6 minutes

Step-by-step explanation:

Total time to get to work = 1 hour

Total_distance = 61 miles

Speed_train = 65 miles/h

Speed_subway = 25 miles/h

The fomula for speed is defined as

Speed = distance/ time, which means that

Time = distance/speed

Total_time = time_train + time_subway

Total_time  =  (distance_train/Speed_train) +    

                       (distance_subway/Speed_subway )

1h = (distance_train/65) + (distance_subway/25 )

We also know that

Total_distance = 61 miles =  distance_train + distance_subway

We solve the system of two equations

1 = (distance_train/65) + (distance_subway/25 )

61 =  distance_train + distance_subway

We obtain that

distance_train  = 58.5 miles

distance_subway = 2.5 miles

So the time spent on the subway is

t_sub =  (2.5 mi/25  mi/h) = 0.1 h

0.1 h is equal to 6 minutes

3 0
3 years ago
Read 2 more answers
If the lesser of the two consecutive even integers is five more than half the greater, what are the two integers?
Marina CMI [18]

The integers are 12, 14.

Solution:

Let the even consecutive integers be x and x + 2.

Lesser number = x and Greater number = x + 2

Lesser number = Half of greater number + 5

$\Rightarrow x = \frac{1}{2} (x + 2) + 5

$\Rightarrow x = \frac{x + 2}{2} + 5

To add the numbers, denominators must be same. So multiply 5 by \frac{2}{2}.

$\Rightarrow x = \frac{x + 2}{2} + \frac{10}{2}

$\Rightarrow x = \frac{x + 12}{2}

Multiply by 2 on both sides, we get

⇒ 2x = x + 12

Subtract x from both sides.

⇒ x = 12

Lesser number = 12

Greater number = 12 + 2 = 14

Hence the integers are 12, 14.

7 0
3 years ago
Quintin set a goal to do 15 push-ups each day. By how much would he exceed his goal if he did 17 push-ups in a day?
igor_vitrenko [27]

17-15 =2

 he would exceed by 2 a day


8 0
4 years ago
Serena is playing a video game in which she captures butterflies. There are 2 butterflies on the screen at the start of the game
In-s [12.5K]

Answer:

jjye6eeerheeuee7488e8u0↙⬅⬇

5 0
4 years ago
In the diagram, which angles are vertical angles? Select two
lakkis [162]

Answer:

∠ABE and ∠CBD

∠ABC and ∠EBD

Step-by-step explanation:

we know that

<u>Vertical angle</u>s are a pair of opposite and congruent angles formed by intersecting lines

In this problem we have that

∠ABE=∠CBD ------> by vertical angles

∠ABC=∠EBD ------> by vertical angles

therefore

The angles that are vertical angles are

∠ABE and ∠CBD

∠ABC and ∠EBD

8 0
4 years ago
Read 2 more answers
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