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butalik [34]
3 years ago
6

The post office is 1- miles west of Vincent's house. The

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer: 16 miles.

Step-by-step explanation:

Let's define:

Vincent's house is in the position 0 mi in a number line.

We know that the post office is 1 mile west of Vincent's house, if we define west as the positive side of the number line, then the position of the post office is:

0mi + 1mi = 1mi

(position of Vincent's house plus one mile)

And we know that the 11 library is 15 miles west from the post office, then the position of this library is:

1mi + 15mi = 16mi

(position of the post office plus 15 miles)

The distance between Vincent's house and the library is equal to the difference between the positions, where we can remember that the position of Vincent's house is 0mi, and the position of the library is 16mi

Distance = 16mi - 0 mi = 16mi

This means that the library is 16 miles away from Vincent's house.

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Tom finished 1/3 of the 30 problems assigned in class. Steven did 3/10 of the problems. Juan finished 20% of the problems. Marcu
RoseWind [281]

Answer: Tom

Step-by-step explanation:

Tom did 1/3 of 30= 10 out of 30

Steven did 3/10 of 30= 9 out of 30

Juan did 20/100 of 30= 6 out of 30

Marcus did 8 out of 30

6 0
3 years ago
Read 2 more answers
Andrew buys books and videos in a store. He uses the expression 4b + 8v to find the cost of what he is buying, where b is the nu
7nadin3 [17]

Answer:

68

Step-by-step explanation:

1) Plug In (when you plug in you replace the defined variable with the number given. usually you have to find the numbers to plug in but since they're already given to you you just plug them in.) 4(3) + 8(7)=T   T= total cost

2) Multiply 4*3=12 8*7=56

3) Add 12+56=68

4) <u>T=68</u>

7 0
3 years ago
Please!!! I NEED help with this!!!! it's due in an hour and I have no idea how to do it!!!
sergejj [24]

Answer:

Well you can try to use a calculator, like the one on google. I can try to help if you really need it.

Step-by-step explanation:


3 0
3 years ago
Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)
Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

When we solve this equation,

We found,

 x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


4 0
3 years ago
Dennis decided he wanted to go to the carnival. The carnival charges $6.00 for entry and $1.50 for each ride.
myrzilka [38]

We want to create a linear equation to model the given situation.

A) c(r) = $6.00 + $1.50*r

B) 19 rides.

We know that the carnival charges $6.00 for entry plus $1.50 for each ride.

A) With the given information we can see that if you ride for r rides, then the cost equation will be:

c(r) = $6.00 + $1.50*r

Where c(r) is the cost for going to the carnival and doing r rides.

B) If you have $35.00, then we can solve:

c(r) = $35.00 =  $6.00 + $1.50*r

Now we can solve the equation for r.

$35.00 =  $6.00 + $1.50*r

$35.00 -  $6.00 = $1.50*r

$29.00 = $1.50*r

$29.00/$1.50 = r = 19.33

Rounding to the next whole number we get: r = 19

This means that with $35.00, Dennis could go to 19 rides.

If you want to learn more, you can read:

brainly.com/question/13738061

7 0
3 years ago
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