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Ray Of Light [21]
2 years ago
6

Which of the following number sentences is true? A -9=9 B-9=-(9) C 9=(-9) D 9=-(-9)

Mathematics
1 answer:
kondaur [170]2 years ago
3 0

Answer:

A and D are the true number sentences

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On a trip, a motorist drove 150 miles in the morning and 50 miles in the afternoon. His average rate in the morning was twice hi
Lina20 [59]

Answer:

Morning's average rate = 50 mph, and Afternoon's average rate = 25 mph.

Step-by-step explanation:

Suppose he drove 150 miles for X hours, then his average rate in the morning was (150/X) mph.

Given that he spent 5 hours in driving.

And he drove 50 miles for (5-X) hours, then his average rate in the afternoon was 50/(5-X) mph.

Given that his average rate in the morning was twice his average rate in the afternoon.

(150/x) = 2 * 50/(5-x)

150/x = 100/(5-x)

Cross multiplying terms, we get:-

150*(5-x) = 100*x

750 - 150x = 100x

750 = 100x + 150x

750 = 250x

x = 750/250 = 3.

It means he spent 3 hours in the morning and 2 hours in the afternoon.

So morning's average rate = 150/3 = 50 mph.

and afternoon's average rate = 50/(5-3) = 25 mph.

8 0
3 years ago
Analyze the diagram below and complete the instructions that follow.
Semmy [17]
B. All sides are equal and each side is at a 60 degree angle.
8 0
2 years ago
Two families are vacationing together, driving in separate cars. The Harris family averages 40 mph, leaving Hometown 12 minutes
andrey2020 [161]
I believe, if I'm not correct but I think the answer would be 8 minutes or less.. Considering the fact that the Harris Family left 12 minutes ahead and the Arlen family is Averaging 55 MPH.. Too the speed that the Arlen's are going make the time for them to catch up to the harris's shorter. The Arlen's are going 15 mph faster sooo.. Yeah.. Tell em if this helps! :D
8 0
3 years ago
Read 2 more answers
A factory produces car tires. The number of miles each tire lasts before it completely wares out follows a normal distribution w
qwelly [4]

Answer: 0.0668073

Step-by-step explanation:

Given : The number of miles each tire lasts before it completely wares out follows a normal distribution with mean μ = 50,000 miles and standard deviation σ = 8,000 miles.

Let x be the random variable that represents the number of miles each tire lasts.

z-score : \dfrac{x-\mu}{\sigma}

For x= 62,000

z=\dfrac{62000-50000}{8000}=1.5

By using the standard z-value table , the probability for a randomly selected tire to last for at least 62,000 miles will be :_

P(x\geq62000)=P(z\geq1.5)=1-P(z

Hence, the probability for a randomly selected tire to last for at least 62,000 miles = 0.0668073

4 0
2 years ago
The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shi
xxMikexx [17]

Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

8 0
2 years ago
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