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FromTheMoon [43]
2 years ago
9

A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the t

ruck travels 225 miles. find the speed of the truck
Mathematics
1 answer:
Alina [70]2 years ago
4 0
Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.

A loaded moving truck is traveling 30 mph faster than a freight train...
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles...
135/(x-30)=225/x
the you multiply on both sides the x values and get...
 135x=225x-6750
then you subtract 225x on both sides...
-90x=-6750
then you divide -90 on both sides...
x=75
the speed of the truck is 75mph
i hope this helped give me a thanks and a 5 star rating if it helped! c:



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The 42 inches long fishing rod will fit in the box.

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The diagonal of a cuboidal box is the largest measurement inside the box.

Now, the dimensions of the box are 10 inches by 10 inches by 40 inches.

Therefore, the diagonal length of the box is \sqrt{10^{2} + 10^{2} + 40^{2}} = 42.42 inches which is greater than 42 inches.

Hence, the 42 inches long fishing rod will fit in the box. (Answer)

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Sandy has 16 roses,8 daisies, and 32 tulips. She wants to arrange all the flowers in bouguets. Each bouguet has the same number
avanturin [10]

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Step-by-step explanation:

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2 years ago
Denzel earned money after school delivering newspapers and doing yardwork. He put - of this month's earnings into his savings. H
Inessa05 [86]
<h3><u>Question:</u></h3>

Denzel earned money after school. He put 1/2 of this month's earnings into savings. He took the rest to spend at the amusement park. He spent 1/5 of this amount on popcorn and 3/4 of it on rides. What fraction of his earnings did he take to the park but not spend on rides or popcorn.

<h3><u>Answer:</u></h3>

\frac{1}{40} fraction of money not spend in amusement park

<h3><u>Solution:</u></h3>

Let "x" be the total earnings

He put 1/2 of this month's earnings into savings

\text{ savings} = \frac{1}{2} \text{ of } x

\text{ savings} = \frac{1}{2}x = \frac{x}{2}

He took the rest to spend at the amusement park

\text{ Remaining amount }= x - \frac{x}{2}\\\\\text{ Remaining amount } = \frac{2x - x}{2} = \frac{x}{2}

He spent 1/5 of this amount on popcorn and 3/4 of it on rides

\text{ Amount spend on popcorn } = \frac{1}{5} \times \frac{x}{2} = \frac{x}{10}

\text{ amount spend on rides } = \frac{3}{4} \times \frac{x}{2} = \frac{3x}{8}

<em><u>So the fraction of money not spend in amusement park is:</u></em>

⇒ Remaining amount - (Amount spend on popcorn + amount spend on rides)

\rightarrow \frac{x}{2} - (\frac{x}{10} + \frac{3x}{8})\\\\\rightarrow \frac{x}{2} - \frac{38x}{80}\\\\\rightarrow \frac{2x}{80} = \frac{x}{40}

Thus \frac{1}{40} fraction of money not spend in amusement park

8 0
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GarryVolchara [31]
If the glasses were origanum 40, and were on sale for 26,we minus them from eachother to find out how much money was saved. So 40-26= 14, if $14 was saved we put 14 over the original price and times it buy 100 14/40x100= 35% So 35% was saved. 100-35= 65. Therefore 65% of the original price was paid and 35% was saved.
7 0
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