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valkas [14]
3 years ago
12

Jeff was already 7 miles out of town when his sister

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

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Explain how to translate the phrase into an algebraic expression.
ASHA 777 [7]
Hey there.. I will be more than happy to help you today..  :)

A Number squared decreased by ten

We will do this with steps:-

Step 1 - "A number ". So, Let's say any number be x

Step 2 -  "A number squared". Our number x is squared i.e. x²

Step 3 - "A number squared" ( i.e. x²  ) is decreased by ten
x² - 10 

This is your answer.
Hope this helps you :)
4 0
3 years ago
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What is 6 1/4 written as a decimal?<br><br> A. 6.5<br><br> B. 6.2<br><br> C. 6.25<br><br> D. 6.025
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Answer:

C. 6.25

Step-by-step explanation:

6 is a whole number while 1/4 is translated into .25 as a decimal

8 0
2 years ago
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Vlada [557]

Answer:

x^2 -20x + 100

Step-by-step explanation:

How this works is that you multiply each number by every other number, so.

(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.

Then you do a times x since a is the next number in the first pair. then you do a times b.

(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)

So in the expression (x + a)(x + b) you are basically doing

x * x            +         x * b           +        a * x        +          a * b

In your case, a is = to -10 and b is equal to -10

So your expression would be

x * x    +   x * -10    +    -10 * x     +    -10 * -10

so x times x is x^2 and x times -10 is -10x     You are doing -10 * x twice so it is -20x and -10 times -10 is 100

So the final equation would be x^2 plus -20x plus 100 or

x^2 + (-20x)  + 100

which is

x^2 -20x + 100

Hope this helps!

4 0
2 years ago
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KATRIN_1 [288]

Answer:

P(A) = 1/2

Step-by-step explanation:

The question seems incomplete, I assume that we want to find the probability of event A.

Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.

Such that the possible outcomes of rolling the dice is:

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