<img src="https://tex.z-dn.net/?f=%5Csf%2016%2B11%5Ctimes%209" id="TexFormula1" title="\sf 16+11\times 9" alt="\sf 16+11\times 9

jasenka [17]

2 years ago

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Mathematics

1 answer:

lawyer [7]2 years ago

4 0

Answer:

$115$

Step-by-step explanation:

using Pemdas rule

here in this problem first multiply and then add

$11 \times 9 = 99 \\ 99 + 16 = 115$

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Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance

aliya0001 [1]

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let $x$ miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled $x$ miles, the remaining distance is the distance between the lunch stop and the beach.

Let $y$ miles be the remaining distance, so

$y=125-x.$

Give that the ratio of the distance he has traveled, $x$ , to the distance he still has to travel, $y$ , is $2:3$ ,i.e

$x:y=2:3$

$\Rightarrow \frac x y =\frac 2 3$

$\Rightarrow \frac {x}{125-x}=\frac 2 3$

$\Rightarrow 3\times x=2\times(125-x)$

$\Rightarrow 3\times x=2\times125-2\timesx$

$\Rightarrow 3 x=250-2x$

$\Rightarrow 3x-2x=250$

$\Rightarrow x=250$

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.

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2 years ago