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Yuki888 [10]
4 years ago
5

PLZ help picture included

Mathematics
1 answer:
cupoosta [38]4 years ago
6 0

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

d=st

we know that

18\ min=\frac{18}{60}\ hours

The distance to his friend's house and the distance of return is the same

so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

6x=\frac{18}{15}

x=\frac{1}{5}\ hours

The total distance of the round trip is

y=10x+4x+\frac{18}{15}

substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

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Nataliya [291]
The blue ribbon would be 19 inches. We know the red ribbon is 12 inches and it’s 7 inches less than the blue one, so you would add 7 to 12 to figure out that the blue ribbon is 19 inches.
6 0
3 years ago
What is the 28% tax on a 600,00 cash prize?
konstantin123 [22]
•❋Let's start with the first step: Converting 28% into a decimal. 
To do this you can multiply it by 100 which gives us .28.
Now we have $600.000 in cash and we need to then multiply it by .28.
.28*600=168.
Now we are going to subtract what we just got by the original amount $600.000
(we can also say that it is $600)
So $600-$168=$432
Now we have out answer
28% tax on a $600.000 cash prize = $432
•❋Hope this helps•❋
6 0
4 years ago
Please help me with this work sheet
omeli [17]
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This does not follow the instructions because 6 is not greater than or equal to 8
7 0
3 years ago
A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck)
gladu [14]

Answer:

11.6m

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

We solve the above question using the Trigonometric function of Sine.

sin θ = Opposite/ Hypotenuse

Hypotenuse = Length of the ladder = 13.5m

Opposite = d

θ = 59° 22'

= 59° + 22/60

= 59° + 0.367

= 59.367°

Hence,

sin 59.367 = d/13.5m

d = sin 59.367 × 13.5m

d = 11.616057416m

Approximately = 11.6m

Therefore, the distance d the ladder goes up the wall is 11.6m

6 0
3 years ago
Where The Jou
natali 33 [55]

Answer:

$ 391

Step-by-step explanation:

It is mention in question that Mrs. Hollern earn 8.5% as commission for every piece of Necklace she sells

Now she sells a necklace cost $ 4,600.

so as per her commission she will take 8.5% of total necklace cost

Thus she will take 8.5 % of $4,600

I.e \frac{8.5*4600}{100}

Or, \frac{39100}{100}

Or, $ 391

So it is found that she will get $391 as commission .

8 0
3 years ago
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