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Nana76 [90]
3 years ago
6

George is reading a book. At the end of 3 hours he has read 90 pages, and at the end of 5

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

74 pages/hour

Step-by-step explanation:

The average rate of change is the difference in the numbers of pages  divided by the difference in the numbers of hours.

At the end of 3 hours, 90 pages were read.

At he end of 5 hours, 238 pages were read.

Difference in hours: 5 hours - 3 hours = 2 hours.

Difference in pages: 238 pages - 90 pages = 148 pages

The average rate of change is the difference in pages divided by the difference in hours.

average rate of change = (148 pages)/(2 hours) = 74 pages/hour

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If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?
denpristay [2]

Answer:

x=14

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if (x-4) and (y+3) vary inversely, their product will be the same for all values of x-4 and y+3.

Let x=8 and y=2 as given in the problem. Substitute values:

(8-4)(2+3)=(4)(5)=20

Hence, the maintained product is 20.

Thus, we have the following equation:

(x-4)(y+3)=20

Substitute y=-1 to find the value of x when y=-1:

(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}

3 0
2 years ago
What is 0.00340.78 correct to 3 significant figures? explain your answer
timurjin [86]
What is 0.00340.78 correct to 3 significant figures?

a significant fugure is when the number lean solething ,so its can anyone except 0


so if we are reducing 0.00340.78 to 3 significant number

first we have to look for the significant nulber ,which are 3,4,7,8


so the answer can be 0.0034.7


hopefully this helps
7 0
3 years ago
Write a two column proof
Annette [7]

4y=2x-10 and y=6

use the second expression to calculate the left-hand side of the first equation:

4\cdot 6 = 2x -10\\24 = 2x -10

Add 10 to both sides if this equation to get

34 = 2x

and divide both sides by 2

17 = x

this proves that x = 17, give the two initial equations

8 0
2 years ago
CAN SOMEONE PLEASE EXPLAIN ME HOW TO DO THIS?
jarptica [38.1K]
Hope this can help you :)

5 0
3 years ago
2x+y=3, 5x-2y=12 how to solve this
Leviafan [203]
Start by getting one of the equations in terms of one variable, in this case lets put the first equation in terms of y

2x+y=3 ---> y=3-2x

now we plug that into the second equation

5x-2y=12 ---> 5x-2(3-2x)=12

we can then multiply and simplify

5x-2(3-2x)=12 ---> 5x-6+4x=12 ---> 9x-6=12 ---> 9x=18 ---> x=2

we can now plug x=2 into an equation to solve for y

2(2)+y=3 ---> 4+y=3 ---> y=-1
7 0
2 years ago
Read 2 more answers
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