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Yuliya22 [10]
3 years ago
9

A cyclist travels 17 km from home to the park.

Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

34 km/h

Step-by-step explanation:

speed = distance/time

Distance = 17km

Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours

So

speed = 17/0.5

speed = 34 km/h

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To a box that contained 30 pencils 10 out of which were red several more non-red pencils were added. Now 25% of all pencils in t
Anastasy [175]

Answer:

The Amount of Non-red pencil which were added to the box = 10

Step-by-step explanation:

Given as :

The number of pencils in a box = 30

The number of red pencils in a box out of 30 = 10

So , the number of Non-red pencils = 30 - 10 = 20

Again let the number of Non-red pencils which added further = x

So, now the amount of total pencil get increase to (30+x)

Among (30+x) pencils in box,25% of them are red ,

I.e The number of red pencils in a box out of (30+x) = 25% of (30+x)

And the number of Non-red pencils = 20 + x

SO, according to question

25% of (30+x) + (20+x) = (30+x)

Or,   (20+x) = (30+x) - (25% of (30+x))

Or,   20+x = (30+x) [ 1 -(\frac{25}{100}]

Or,    20+x  = (30+x) ( \frac{3}{4}

Or,    80+4x = 90+3x

or       4x - 3x = 90-80

Or,   x = 10

Hence the number of Non-Red pencils in the box which added further = 10  Answer

4 0
3 years ago
30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0
1 year ago
The price of an item yesterday was $120. Today, the price rose to $294. Find the percentage increase.
Blizzard [7]

Answer:

145%.

Step-by-step explanation:

Given that the price of an item yesterday was $120, and today, the price rose to $294, in order to find the percentage increase, the following calculation has to be made:

120 = 100

294 = X

((294 x 100) / 120) = X

29,400 / 120  = X

245 = X

245 - 100 = 145

Therefore, the percentage increase of the product was of 145%.

5 0
3 years ago
The figure shows two intersecting lines and measures of the resulting angles.
kvasek [131]

Answer:

hiiiiiiiii

burrgerry.com

4 0
3 years ago
What is the lowest common multiply of 25 and 60
8090 [49]
300 is the LCM of 25 and 30 =)
4 0
3 years ago
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