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4 years ago

Mathews usually makes the 100 km journey to visit his family. The trip involves three separate stages:

Mathematics

1 answer:

12345 [234]4 years ago

3 0

Answer:

1 . Total time = 1 hr 55 minutes

2 Distance = 121 km

Step-by-step explanation:

Mattew journey

stage a

Distance = 20km

Speed = 30km/h

Time = distance/speed

Time = 20/30

Time = 2/3 h

Time = 40 minutes

Stage b

Distance = 50 I'm

Speed = 100 km/h

Time = distance/speed

Time = 50/100

Time = 0.5 h

Time = 30 minutes

Stage c

Distance = 30 km

Speed = 40 km/h

Time = distance/speed

Time = 30/40

Time = 3/4 h

Time = 45 minutes.

Total time taken =( 40 + 30 + 45 ) minutes

Total time = 115 minutes

Total time = 1 hr 55 minutes

Speed =60 km/h

Time= 6 minutes + x

And x = 1 hr 55 minutes

Time = 1 hr 55 minutes + 6 minutes

Time = 2 hr 1 minute

Time = 2.01666667 hr

Distance covered = speed * time

Distance = 60*2.016667

Distance = 121 km

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Write a system of equations that could be used to solve the situation described below.

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If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.

Given There are 12 coins and total money is 32 cents.

Let the number of pennies be x and the number of nickels be y.

According to question there are 12 coins so the first equation becomes:

x+y=12.

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2 years ago

Miss Martinez purchase two kinds of candy for a math game. Diplo pops cost $.50 each and the sneakers cost $.60 each. She purcha

torisob [31]

Answer:

The number of Diplo pops D = 18

The number of sneakers S = 12

Step-by-step expla nation:

Given:

Cost of one Diplo pops = $.50

Cost of one sneakers = $.60

Total number of candies purchased = 30 pieces

cost of the number of candies purchased = $16.80

To Find:

Number of each type of candies = ?

Solution:

Let

The number of Diplo pops be D

The number of sneakers be S

Total number of candies = 30

S+D = 30

S= 30 - D--------------------------------------(1)

and cost of 30 candies is $16.80

S(0.50) + D(0.60) = 16.80----------------(2)

Substituting (1) in (2)

(30 - D)(0.50) + D(0.60) = 16.80

15 - 0.50D +0.60D = 16.80

15 + 0.10D = 16.80

0.10D = 16.80 - 15

0.10D = 1.80

D = $\frac{1.80}{0.10}$

D = 18

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3 years ago

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Nadya [2.5K]

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Reason:

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