Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?

Answer

-7

Step-by-step explanation:

opposite of 7

Long division is easier than you think. Here's how to solve this problem:

1. See how many times 36 can go into 66.

Multiply until you reach a number that is closest (or exact) to 66.

36 x 1 = 36; 36 x 2 = 72.

72 is over 66, so 2 doesn't work. Therefore, we'd put "1" in the first space on the shelf (right above the 6).

2. Subtract.

Now that we have "1" on the shelf, you need to subtract 36 by 66. We do this because 36 x 1 is 36. If it were the number "2" on the shelf, we'd subtract 72, and so on.

66 - 36 = 30.

3. See how many times 36 can go into 30.

Since it can't go into 30, we bring the 3 down (hence the arrow pointing down). The number is now 303.

4. See how many times 36 can go into 303.

I won't write it all out, but after multiplying 1-7 by 36, we find that the closest solution is 36 x 8 = 288.

We put "8" on the shelf, next to "1".

5. Subtract.

Now that "8" is on the shelf, we subtract 288 by 303, which gives us 15.

Since 36 cannot go into 15, and there are no more numbers we can drag down, your remainder is 15.

Your answer is:

36 R 15

The first two boxes under 663 should be filled with 36, the next three under that should have 303, the next three should have 288, and the final two boxes should have 15.

I hope this helped!

Answer:

Rhombu is the answer

Answeris rhombus

Answer:

x = 26ft

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676

[tex]\sqrt{676}[/tex] = 26

Answer:

x=2

Step-by-step explanation:

26 divided by 13 is 2

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

Answer:

180%

Step-by-step explanation:

100% +(20%)*4=100+80=180%

Answer:

60%

Step-by-step explanation:

60% of 35  = 21

Answer:

y = 21

Step-by-step explanation:

y = 3(4) + 9

= 12 + 9

= 21

Answer: its B

Step-by-step explanation: i've done this test before

Answer:

the answer is b

Step-by-step explanation:

because i have done this question before

Answer:

If 11hrs= $242

   7hrs=7x242/100

             154

Josh will made $154

Step-by-step explanation:

Answer:

The answer would be -6x - 4 + -4. hope this is accurate!

Step-by-step explanation:

Answer:

x = 80°

Step-by-step explanation:

To find x, we need to create an equation.

Recall that the sum of all the 4 interior angles of a quadrilateral = 360°.

Therefore:

m<B + m<A + m<C + m<P = 360°

m<B = 20° (given)

m<C = 20° (given)

m<A = ½*x = x/2 (inscribed angle theorem)

m<P = (360 - x)°

Plug in the values and solve for x

[tex] 20 + \frac{x}{2} + 20 + (360 - x) = 360 [/tex]

[tex] 20 + \frac{x}{2} + 20 + 360 - x = 360 [/tex]

Collect like terms

[tex] 20 + 20 + 360 + \frac{x}{2} - x = 360 [/tex]

[tex] 400 + \frac{x}{2} - x = 360 [/tex]

Subtract 400 from each side

[tex] 400 + \frac{x}{2} - x - 400 = 360 - 400 [/tex]

[tex] \frac{x}{2} - x = -40 [/tex]

[tex] \frac{x - 2x}{2} = -40 [/tex]

[tex] \frac{-x}{2} = -40 [/tex]

Multiply both sides by 2

[tex] \frac{-x}{2} \times 2 = -40 \times 2 [/tex]

[tex] -x = -80 [/tex]

Divide both sides by -1

[tex] \frac{-x}{-1} = \frac{-80}{-1} [/tex]

[tex] x = 80 [/tex]

Answer:

x = m - z

Step-by-step explanation:

z = m - x       add x to both sides

z + x = m - x + x

z + x = m            subtract z from both sides

z - z + x = m - z

x = m - z

Answer:

-z + m = x

Step-by-step explanation:

z = m-x

subtract the m from both sides

z-m = -x

you can't have a negative x so multiply everything by -1

-1(z-m = -x)

-z + m = x

Answer:

189

Step-by-step explanation:

If mark uses 19 gallons to travel 399 miles, that means he was able to travel 21 miles per gallon.

We get this by taking 399 divided by 19.

So if mark travels on 9 gallons of gas and goes 21 miles per gallon, he will have traveled 189 miles.

We get this by taking 21 times 9

The fifth term in the sequence would be C.

Answer:

25(b) + 4 = 129

Step-by-step explanation:

b=5

25(5) + 4=129

Answer:

Answer A is Linear.  You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.

Answer B is not linear.  This is because each term is a multiple of the previous one, making it a geometric sequence.

Answer:

Function A

Step-by-step explanation:

Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.

Good luck :)

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Answer:

Its D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

correct for Edge2020

Answer:

its associative property

Step-by-step explanation:

2+d=2+d

d=2

Answer:

-8x^2+x+2

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

5x-3/4=2x+3

First, multiply by 4

5x-3=4(2x+3)

Next, distribute.

5x-3=8x+12

Subtract 5x

-3=3x+12

Subtract 12

-15=3x

x=-5

Hope this helps :D

Answer:

The area of the base of the pencil holder in square centimeters is  18 square centimeters

Step-by-step explanation:

The volume of a triangular prism is given as base area X height.

To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.

Base area = volume of prism / height

Base area = 216/12 = 18 square centimeters

Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Answer:

0.19512195122

Step-by-step explanation:

Answer:I think it’s b too

Step-by-step explanation: