A textbook is 5/6 of an inch thick. If 18 textbooks will be stacked one on top of the other, how tall will the stack be?

Answer:[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

you can take 2 points (for example (0,-3) and (3,-1)) and use rise over run ([tex]\frac{x_{2} -x_{1} }{y_{2}-y_{1} }[/tex]) to find the slope, and just plug them into rise over run

Answer:

15

Step-by-step explanation:

3/7 = m/35

7 x ? = 35

7 x 5 = 35

so 3 x 5 = 15

Answer:14

Step-by-step explanation:

abcd = wxyz

ad/dc=wz/yz

12/3=4

56/yz=4

yz=14

Answer: 14

Step-by-step explanation:

Answer:

*name* is 10 years old now and brother is 15 years now

In 10 years they would be 20 and 25 respectively

Step-by-step explanation:

Let x = *name*'s age now

let y = brother's age now

The first relationship is that the ratio of their ages now is 2:3 or, in fraction form 2/3

That means x/y = 2/3

Cross multiply => 3x = 2y =>

3x - 2y = 0   [1]

10 years from now x would become x + 10 years, y would become y + 10 years and the new ratio is 4/5

So (x + 10)/(y+10 = 4/5

Cross-multiply

5(x + 10) = 4(y + 10)

5x + 50 = 4y + 40

Subtract 4y from both sides

5x + 50 -4y = 40

and subtract 50 from both sides:

5x - 4y = 40 - 50

5x -4y = -10  [2]

Eliminate y terms by multiplying [1] by 2 and subtracting [1] from that

[1] x 2

=> 2(3x - 2y) = 2 x 0

=> 6x - 4y = 0  [3]

[3] - [2]

6x - 4y - (5x -4y) = 0 - (-10)

6x - 4y -5x + 4y = 10

x = 10

Using equation [1] we get

x/y = 2/3

=> 10/y = 2/3

10 x 3/2 = y

5 x 3 = y

y = 15

So their ages are 10 and 15 now.

In 10 years they would be 20 and 25

If the ratios change we would have a different set of equations to solve for

For example if the current ratio is 1/3

Then we would get x/y = 1/3

or 3x - y = 0  [4]

and if 10 years from now the ratio is 3/5 then

(x + 10)/(y + 10) = 3/5

=> 5(x+10) = 3(y + 10)

=> 5x + 50 = 3y + 30

=> 5x - 3y = -20  [5]

And we would solve these equations to get x and y in a similar mannter

FYI the answers would be
x = 5, y = 15

Answer:

17+1+1

Step-by-step explanation:

Answer:

The longest side can be anything but the number of the longest side has to be less than the other 2 sides after you add them together.

example:    The longest side can be 9 and the other 2 sides are 5. When you add them both together they equal 10 which is more than 9 so it would work.

Answer:

AB = 10

EF = 2

Step-by-step explanation:

to find the scale factor you have to divide the bigger scale by the smaller one which would be

(5x)/5    and   4/x

since both scale factors should be the same you can set them even to each other

(5x)/5=4/x

solve for x

(5x)/5=4/x

x=4/x

x^2=4

x=2

For this equation the easiest thing to start with ratios:

16:4 (scale of 4 due to 4 x 4 being = to 16)

For the y-2 to find y you first will put 8/4 (your scaling back), so 2 so 4-2 would be 2 which makes that equal to y.

Knowing that 8 is the size on the one side these are equal on the top so x-3 had to equal 8, so 11-3=8 so...

x=11

y=2

Answer:

QR and CD, both are located at the same part of both shapes

Answer:

not similar

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would say not similar because they both don't have the same length and width but if you're talking about the shape itself then I would say similar because they are both quadrilaterals and trapezoids.

Answer:

b

c

f

Step-by-step explanation:

-2 is greater than -2 1/2 not less than

1 is greater than -.5 but -1 can't be greater than -.5

-3.4 is greater than -4 but 3.4 can't be less than -4

Answer:

x>-4

Step-by-step explanation:

The answer would be x>-4 because an open circle is greater than or less than; in this case, the arrow is pointing toward the right.

Answer: it would be the last one

letter C

Step-by-step explanation:

Answer: post image of the math Sheri walked 15/16 of a mile to school and then 7/8 of a mile to the library. Estimate how far Sheri walked in total.

Step-by-step explanation:

1.8125 miles

just added 15/16 + 7/8

1.8125 miles

15/16 + 7/8

Answer:

-165 feet

Step-by-step explanation:

-100+45=-55

-55-110=-165

Answer:6/7

Step-by-step explanation:

-3/7÷ -1/2= -3

-3 x 2

7x-1

=6/7

Answer:

6/7

Step-by-step explanation:

0.857142 repeated

:)

Answer:

Negative 7/40 or - 7/40

Step-by-step explanation:

Answer: -7/40

Step-by-step explanation:

first multiply the two negatives so it becomes (2-|-1/4+2 x 3/5|) /(-6)

then that becomes (2- | -1/4 + 6/5 | ) /(-6)
the sum of those two fractions become (2- | 19/20|) /(-6)

(2-19/20)/(-6)

2 - 19/20 /-6

21/20 /-6

multiple both by a negative so that become -21/20 /6

multiply the 6 with the recirocal so it becomes 1/6

-21/20 and 1/6 turn into -7/20 and 1/2 by canceling out with the greatest common factor of 3

now multiply both and u get -7/40

Answer:

Simplify:

7x - 3 ≥ (8 - 2x) * 9

7x - 3 ≥ 72 - 18x

7x + 18x ≥ 72 + 3

25x ≥ 75

x ≥ 75 / 25

x ≥ 3

Graph C shows all values that are greater than or equal to 3

Answer:

a = 8

Step-by-step explanation:

Write the equation:

7/a = 35/40

Divide:

7/a = 35/40

7/a = 35 ÷ 40

7/a = 0.875 (convert back to a fraction)

7/a = 7/8

Multiply:

8a • 7/a = 7/8 • 8a

8 • 7 = a • 7

56 = 7a

Divide to get answer:

56/7 = 7a/7

8 = a

a = 8

Hope that helps! Have an amazing rest of your day! Please consider giving me the Brainliest! :)

Answer:

A. 6 cm

Step-by-step explanation:

In order to represent a distance of 45 kilometres?

Just divide 45 kilometres by 7½ cm kilometres

= 6 cm

Answer:

Ryan's car went 17 miles for each gallon of gas.

Step-by-step explanation:

To find the answer for this problem, divide 119 by 7.

119/7=17

Ryan's car went 17 miles for each gallon of gas.

Answer:

Loren's work is not correct because you are originally dividing by 61.4. In the division problem, they moved the decimal point to the right and did the same to the problem inside of the division symbol to make it easier. After you would finish doing all the division, you would count the amount of spaces behind the decimal point and put the decimal point that many spaces in the answer. Loren forgot to count the decimal point that you moved right at the beginning. To summarize, Loren forgot the decimal point you moved at the beginning and Maddie is correct.

Step-by-step explanation:

Answer:

I believe in yu sir or ma'am

Step-by-step explanation:   52x5.27 = 274.04

BYEEEEEEEEEE

Answer: slope = 1/2

Step-by-step explanation:

(y2 - y1) / (x2 - x1) = m

(4 - 3) / (6 - 4) = m

m = 1/2

slope = 1/2

Answer:

64

Step-by-step explanation:

20% of 80=16

80-16=64