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3 years ago

A bus travels 36 miles in 45 minutes. What number of miles would the bus travel in 60 minutes at this rate?

Mathematics

2 answers:

Nostrana [21]3 years ago

8 0

Rate = 36 miles/45 min = 0.8 miles per min

Distance traveled = 0.8 miles per min = 60 min = 48 miles

When there are two terms in different units this is called a rate. Rate and ratio are different in this case it is a special ratio. In this problem the rate is units of miles per minutes.

marusya05 [52]3 years ago

4 0

Answer:

48 miles.

Step-by-step explanation:

A bus travels 36 miles in 45 minutes

In 60 minutes, travelling at this rate, the bus would cover:

$\frac{60}{45}$ × 36 miles = 48 miles

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Claire has $210 to spend on clothes. She wants to buy a pair of shorts and some shirts. The cost of a pair of shorts is $25, and

Komok [63]

Answer:

discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?

Step-by-step explanation:

has $210 to spend on clothes. She wants to buy a pair of shorts and some shirts. The cost of a pair of shorts is $25, and the cost of a shirt is $40. If she gets a discount of 50% on one shirt, which inequality can be used to find the maximum number of shirts, n, that she can buy?

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4 years ago

What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16

Mnenie [13.5K]

<h2>Answer:</h2>

The solution of the given equation is:

y=6

<h2>Step-by-step explanation:</h2>

The expression is given by:

$\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}$

Now on solving for the given equation

$\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}$

since,

$a^2-b^2=(a-b)(a+b)\\\\so,\\\\y^2-16=y^2-4^2\\\\i.e.\\\\y^2-16=(y-4)(y+4)$

Hence, we get:

$\dfrac{-4}{y-4}=\dfrac{5\times (y-4)-(7y+8)}{(y+4)(y-4)}\\\\i.e.\\\\\dfrac{-4}{y-4}=\dfrac{5y-20-7y-8}{(y-4)(y+4)}$

$-4\times (y-4)(y+4)=(-2y-28)(y-4)\\\\i.e.\\\\(y-4)(-4\times (y+4))=(-2y-28)(y-4)\\\\i.e.\\\\(y-4)(-4y+16)=(-2y-28)(y-4)\\\\i.e.$

$(y-4)(-4y+16)-(-2y-28)(y-4)=0\\\\i.e.\\\\(y-4)(-4y-16+2y+28)=0\\\\i.e.\\\\(y-4)(-2y+12)=0\\\\i.e.$

$y-4=0\ or\ -2y+12=0\\\\i.e.\\\\y=4\ or\ 2y=12\\\\i.e.\\\\y=4\ or\ y=6$

but y≠ 4

since, the denominator of the term in the left side of the given equality and the second term in the right side of the given equality will be zero and hence, the expression will be not defined.

Hence, the value of y is: 6

7 0

3 years ago

Read 2 more answers

PLEASE HELP

Ilia_Sergeevich [38]

Answer:

you're correct! the answer is c

Step-by-step explanation:

the factors would be (x+2)(x-3) and when you solve that you get c

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3 years ago