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3 years ago

What is the slope of the passing through the points (4,6) and (-1, -2)

1 answer:

5 0

$The\ slope:m=\dfrac{y_2-y_1}{x_2-x_1}\\------------------\\\\(4;\ 6)\to x_1=4\ and\ y_1=6\\(-1;-2)\to x_2=-1\ and\ y_2=-2\\\\subtitute\\\\m=\dfrac{-2-6}{-1-4}=\dfrac{-8}{-5}=\boxed{\frac{8}{5}}$

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Samantha earns $8 per hour at a candy store. She receives a 5% raise. What are her new hourly earnings?

d1i1m1o1n [39]

$8 x 5 = 40

40/100 = 0.4

$8 + 0.4 = $8.4

Therefore Samantha now earns $8.4 per hour.

4 0

3 years ago

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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3 years ago

Write an explicit formula for a_nth term of the sequence 18, 6, 2, ...

Ugo [173]

Answer:

Step-by-step explanation:

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3 years ago

In American football, each team has 11 players on the field at one time. The specific role that a player takes on the field is c

Alchen [17]

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3 years ago

roger goes shopping and buys an $112 item but has 30% off coupon. if tax is 7%, how much will roger pay altogether?

Yakvenalex [24]

Step-by-step explanation:

Cost = $112

30% discount coupon on the item he's going to buy

=$112 × 30/100 (or you can write 30%)

=$168/5 ($33.6)

7% tax on the item=$112 × 7/100(or you can write 7%)

= $196/25 ($7.84)

Total amount altogether=$112 - $33.6 - $7.84

=$70.56

not sure for the answer^^

5 0

3 years ago