If Jo is supposed to read one-half of a 100-page book for an English assignment and she has finished 38 pages, what percent of the assignment does she have left to do? Please answer and explain

Answers

Answer 1

Answer: $(1)/(2)\cdot100=50\ (pages)\n\n50-38=12\ (pages)\n\n(12)/(50)\cdot100\%=(12\cdot2)\%=24\%\leftarrow answer$

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Image 1
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image 2

Answers

cosine of angle F = adjacent side / hypotenuse
Cosine of angle F = 60/61 Option C

In image 2, we have to find out the adjacent side
adjacent side =√ 41² - 40² = √81 = 9

Cosine of angle X = 9/41
Option C

On a map of the city .1 centimeter represents 2.5 miles . what distance on the map would represents 20 miles?

Answers

I think it would be approximately 8 centimeters.

You move left 1 unit and up 1 unit. you end at (-5, 5) where did you start?

Answers

Answer:-4,4

Step-by-step explanation:

Because, -4 plus -1 is -5 and 4+1 is 5, hope this helps

>~<

Step-by-step explanation:

(-6,1)

Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. The system of linear equations that relates Aaron's height (x) and Peter's height (y) is given by . Aaron's height is centimeters, and Peter's height is centimeters.

Answers

The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.

Answer:

The system of linear equations that relates Aaron's height (x) and Peter's height (y) is given by x - y = 15 and 5x - 2y = 525. Aaron's height is 165 centimeters, and Peter's height is 150 centimeters.

Step-by-step explanation:

x-y=15

x=15+y find x

5(15+y)-2y=525 place x value in x placeholder

75+5y-2y=525 simplify

5y-2y=450 subtract 75 from both sides

3y=450 simplify

y=150

5x-2(150)=525 rewrite equation

5x-300=525 simplify

5x=825 add 300 to both sides

x=165

Solve for x
3x+1/14=2x/8

Answers

3x+(1/14)= 2x/8
24x+(4/7)=2x ( i multiplied everything by 8)
22x+4/7=0 ( i subtracted 2x to both sides)
22x= -4/7 ( i subtracted 4/7 to both sides)
x= (-4/7)/ 22
x= -2/77

$3x + (1)/(14) = (2x)/(8)$

First, you multiply everything by 8, so you get:
$8(3x + (1)/(14)) = 8( (2x)/(8))$

Then, you develop, and you get:
$24x + (8)/(14) = 2x$

You simplify $(8)/(14)$ by dividing by 2, and you get:
$24x + (4)/(7)$ = 2x

Then, you put known numbers apart (numbers without x), and unknown numbers apart (numbers with x), which means you move 2x to the other part (and it become -2x), and $(4)/(7)$ to the other part ( and it become $- (4)/(7)$ ), so you get:
$24x - 2x = - (4)/(7)$

you subtract and you get:
$22x = - (4)/(7)$

then, you move 22 to the other part, and since it's a multiplication, it become a division, so you get:
$x = ( - (4)/(7) )/(22)$

As you know, $22 = (22)/(1)$ , and dividing 2 fraction is equal to multiplying the first fraction by the inverse of the second fraction, so you get:
$-(4)/(7) * (1)/(22) = x$

You multiply and you get:
$- (4)/(154) = x$

4 and 154 have a common factor which is 2, so you divide each one by 2, and you get:
$-(4/2)/(154/2) = x$

you divide, and you get:
$-(2)/(77) = x$

So, $x = -(2)/(77)$

Hope this Helps! :D

11.68 - 0.48 ÷ (-1.6) =

Answers

The answer to your question is 11.98!

Answer:

11.98

Step-by-step explanation:

First according to the order of operations, you do the division first -0.48 divided by -1.6 which is 0.3 then we subtract 11.68+0.3 which is 11.98

Hope this is helpful and detailed

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