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malfutka [58]
3 years ago
10

A car is traveling at a speed of 25 meters per second what is the cars speed in kilometers per hour how many kilometers will the

car travel in 2 hours ?
Mathematics
1 answer:
Likurg_2 [28]3 years ago
7 0

Answer:

  • 90 km/h
  • 180 km

Step-by-step explanation:

There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...

  \dfrac{25\,m}{s}\cdot\dfrac{1\,km}{1000\,m}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{90\,km}{h}

The car's speed is 90 km/h.

__

In 2 hours, the car will travel ...

  distance = speed · time = (90 km/h)(2 h) = 180 km

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After a 90% reduction, you purchase a new soft drink machine on sale for $66. What was the original price of the soft drink mach
Reptile [31]

Answer:

<u>$660.</u>

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= <u>$660</u>

<u>• Why did we multiply by 1-0.9?</u>

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

-------------------------------------------------------------------------------------------

A different example would be the following:

<u>What was the original price of a product bought for $48 if it has a 60% discount?</u>

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

<u>$120 was the original price.</u>

4 0
2 years ago
Ray and Claudia are writing in journals. Ray has written 16 pages and he now writes 2 pages every day. Claudia has written only
balu736 [363]

Answer:

6 days

Step-by-step explanation:

Step one:

Given data

For Ray

He has 16 pages already

Now he is writing 2 pages per day

let x be the number of days

and y be the total number of pages writen

the linear function for the situation is given as

y=2x+16-------------1

For Claudia

He has 2 pages already

Now he is writing 4 pages per day

let x be the number of days

and y be the total number of pages writen

the linear function for the situation is given as

y=4x+2-------------2

Step two:

let us equate equation 1 and 2 to find x

2x+16=4x+2

collect like terms

2x-4x=2-16

-2x=-12

divide both sides by -2

x=12/2

x=6

Therefore it will take 6 days for them to have the same number of pages

3 0
3 years ago
Find missing angle 135 and 59
wolverine [178]

your question is incorrect dear!

please tell the figure

if its triangle then either of the angle is wrong

5 0
3 years ago
Read 2 more answers
Is Triangle UVW cong Triangle XYZ? If so, name the postulate that applies
rosijanka [135]

Answer:

Might not be congruent

Step-by-step explanation:

Because look carefully and use the measurment and you can compare my answer to yours

3 0
3 years ago
Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D thi
irina [24]

Answer:

Part A) D=70T

Part B) D=105\ miles

Step-by-step explanation:

Par A) Write an equation that relates the distance D this car travels in T hours

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

The speed is a proportional relationship between the distance and the time

Let

D ----> the distance in miles

T ----> the time in hours

so

D=kT

In this problem the constant of proportionality k represent the speed of the car in miles per hour

we have

k=70\ mi/h

substitute

D=70T

Part B) Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m

we know that

The time between 3:30 p.m. and 5:00 p.m is equal to

5:00 p.m-3:30 p.m=1.5 hours

so

For T=1.5 h

substitute in the equation and solve for D

D=70(1.5)

D=105\ miles

7 0
3 years ago
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