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Black_prince [1.1K]
3 years ago
8

Samantha drove 168 miles in 3 1/2 hours. She then drove the next 2 1/4 hours at a rate of 5 miles an hour faster than the first

rate. How many miles did Samantha drive during the 5 3/4 hours?
Mathematics
1 answer:
lidiya [134]3 years ago
4 0
First you want to find the first speed. Speed=distance/time so it's 168/3.5=48. You know for the next period of time she drives 5 mph faster so that speed is 53 mph. Now you want to find distance which is speed x time. So 53 x 2.25 which is 119.25. You now have the second distance so you add it to the first, 119.25+168=287.25 miles
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Pie
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3 years ago
What is this expression in simplest form?
gayaneshka [121]

Answer:

A. 1÷(X+1) (x-2)

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2 years ago
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
Anna11 [10]

Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

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7 0
2 years ago
2. Determine the sum of the first 400 ODD numbers.<br><br>​
il63 [147K]

Odd numbers take the form 2n-1, where n\ge1 is an integer. When n=400, the last odd number would be 799. So we're adding

S=1+3+5+\cdots+795+797+799

By reversing the order of terms, we have

S=799+797+795+\cdots+5+3+1

and we can pair up terms in both sums at the same position to write

2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

2S=400\cdot800\implies S=160,000

###

We could also make use of the formulas,

\displaystyle\sum_{i=1}^n1=n

\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2

We have

S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000

3 0
3 years ago
Can someone please help me?
Yuri [45]
The answer is 112 you have to add each of the sides up. There are 4 triangles 6x4 is 24 so 24x4 because there are 4 triangles and there is 1 square and if all of the sides are the same then it is 4x4 which is 16. Then you have 112 because, 24 x4 is 96 pulse 16 is 112
5 0
3 years ago
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