A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answer:

5/2

Step-by-step explanation:

Answer:

I think the answer is

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

Reason :

[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]

Therefore

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

she should tell the students that sleep less to get to their beds early, as the brain needs rest to function properly

Answer:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

Answer:

everything is in the photo

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

Answer:

A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A

Step-by-step explanation:

The answer to the equation is 2.5

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Answer:

y = 3

Step-by-step explanation:

     3x + 5y = 33       ---------------(I)

     3x + 4y = 30       ----------------(II)  {subtract  equation (II) from (I)}

    -     -       = -

             1y = 3

y = 3

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

Answer:

there isnt any image

Step-by-step explanation:

Answer:

we have

C=(2,-1)

B=(-2,3)

since

BC is hypotenuse

length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer

Answer:

A 13.7>13.07

Step-by-step explanation:

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given that

The mean of A and B is 20

The mean of B and C is 24

And, the mean of A, B and C is 18

We need to find out the mean of A and C

Since the mean of A and B is 20

So, a + b = 20 × 2

= 40

Likewise for B and C it is 48

And, for A, B and C, it is 54

So,

a + b = 40

b + c = 48

a + b + c = 54

So if we put the value of b + c in the above equation

a + 48 = 54

a = 6

b = 34

c = 14

Now the mean of the A and C is

= (6 + 14) ÷ 2

= 10

Hence, the mean of A and C is 10

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

67....................

Answer:

(-4,-5)

Step-by-step explanation:

[tex]x+4y=-24\\ x=-24-4y[/tex]

[tex]x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5[/tex]

[tex]x=-24-4(-5)\\ =-24+20\\ =-4[/tex]

Answer:

90°, 62.8° and 27.2°

Step-by-step explanation:

180 = 5x + 133

47 = 5x

9.4= x

2 * 9.4 + 44 = 62.8°

3 * 9.4 - 1 = 27.2°

Answer:

9 1/2

Step-by-step explanation:

=2*3+3 1/2

=6+3+1/2

=9 1/2

Answer:

the length— 6

width— is 9

Step-by-step explanation:

you said One side— 3m MORE

so we will consider the length Number as X

we will consider width As three plus X

- You want to know the Perimeter. So we have to

add.

— so the expression is 3+3+x+x+x+x = 30

it is then simplified to 6+4x= 30

then we should be able to find out the X  which is 6

when we substitute the values with dimensions, you will get

your final Answer

I hope This Helped!

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3