Sam and Nathan are training for a race. Monday, Sam ran 2 ¾ miles, and Nathan ran 2 ⅓ miles. How much farther did Sam run than Nathan?

Answer:

(5x + 8y)(5x - 8y)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b) where a = 5x and b = 8y.

~Hoped this helped~

Answer:

The answer is 1250

Step-by-step explanation:

5×250=1250

Answer:

1250

Step-by-step explanation:

number of words on one page= 250

number of pages= 5

total number of words=250 x 5

=1250

There 1250 words in the report

PLEASE MARK ME AS BRAINLIEST!!!!!

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

Based on this, we can estimate the time she left the store

The time she left

=11:19+ 24

=11:43 am

Hence she left 11:43 am

Answer:

a.) $10.50

b.) $45.00

c.) about 66.67%

Step-by-step explanation:

a.) regular price = 15.00

    discount = 30% or 0.3

    15 x 0.3 = 4.50 ----------> this is the amount that you will have off

    15.00 - 4.50 ---------> by subtracting from original price, you have sale price

    = $10.50

b.) bought price = 25.00

    marked up = 80% or 0.8

    25.00 x 0.8 = 20 -------> this will give you 80% of 25

    25.00 + 20.00 ------> she sells for 80% higher, so add the numbers

    = $45.00

c.) original price = 36.00

    bought price = 36.00 - 12.00

    = 24

    24 / 36 -----> divide bought price by original to find what percentage it is

    = .66666 which is rewritten as 66.667%

    you can check this by multiplying that percentage by the original price

hopefully this helps a little bit

Time taken by a pizza to get cooked [tex] =\tt 3 \frac{3}{4} \: minutes [/tex]

Number of pizzas with Giovanni = 3

Time that will be taken to heat up 3 pizzas :

[tex] =\tt 3 \frac{3}{4} \times 3[/tex]

[tex] = \tt\frac{4 \times 3 + 3}{4} \times 3[/tex]

[tex] =\tt \frac{12 + 3}{4} \times 3[/tex]

[tex] = \tt\frac{15}{4} \times 3[/tex]

[tex] = \tt \frac{15 \times 3}{4} [/tex]

[tex] = \tt \frac{45}{4} [/tex]

[tex]\color{plum} =\tt 11 \frac{1}{4} \: minutes[/tex]

Therefore, Giovanni will take [tex] \color{hotpink}\tt \bold{11 \frac{1}{4}} \: minutes [/tex] to heat up 3 pizzas.

Answer:

Step-by-step explanation:

The value of the function is given by the relation

f ( x = -10 ) = -19

f ( 2 ) = 4

f ( -5 ) = 25

f ( -1 ) = 1

f ( 8 ) = -5

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = { 2x + 1    when x ≤ 5

             x²          when -5 ≤ x ≤ 5

             3 - x      when x ≥ 5   }

Now , the value of the function is given by

when x = -10

f ( -10 ) = 2 ( -10 ) + 1

f ( -10 ) = -19

f ( 2 ) = 2²

f ( 2 ) = 4

f ( -5 ) = ( -5 )²

f ( -5 ) = 25

f ( -1 ) = ( -1 )²

f ( -1 ) = 1

f ( 8 ) = 3 - 8

f ( 8 ) = -5

Hence , the function is solved

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Answer:

x = 18

Step-by-step explanation:

80 / 48 = 30 / x

80x = 1440

x = 18

Answer:

Its2 for every 3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

30+25n=90+15n

10n=60

n=6

Answer:

She would have to buy 4 personal training sessions

Step-by-step explanation:

30 + 25 + 25 + 25 (3 training sessions)

= 105

90 + 15 (1 training session)

= 105

Answer:

a

Step-by-step explanation:

1/4 divided by 3 = 1/(4*3) = 1/12

Answer:

22.094

Step-by-step explanation:

Answer:

-1/3(b+21)

Step-by-step explanation:

Answer:

Hope this helps, thank you !!

Answer:

The answer is below

Step-by-step explanation:

Let x represent the cost of 1 scoop of ice cream. Since the cost of 2 scoops of ice cream are twice the price of 1 scoop of ice cream, therefore the cost of 2 scoops of ice cream = 2x

Jean buys 4 tubs with 2 scoops in them and 2 tubs with 1 scoop each. Therefore the money spent by Jean is:

Money spent by Jean = 4(2x) + 2(x) = 8x + 2x = 10x

Sarah buys 2 tubs of 2 scoops and 4 tubs of 1 scoop. The money spent by Sarah is:

Money spent by Sarah = 2(2x) + 4(x) = 4x + 4x = 8x

Sarah spends 2.50 € less than Jean. Therefore:

Money spent by Sarah = Money spent by Jean - 2.5

8x = 10x - 2.5

2x = 2.5

x = €1.25

Therefore the cost of 1 scoop of ice cream is €1.25, the cost of 2 scoops of ice cream is €2.50.

Money spent by Jean = 10x = 10(1.25) = €12.5

Money spent by Sarah = 8x = 8(1.25) = €10

Factor (−15x)(y)+25x

−15xy+25x

=5x(−3y+5)

Answer:

5x(−3y+5)

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

Answer:

ratio of nerds to Skittles

= 10:22

= 5:11

Answer:

She would make $646.00

Answer: C

Step-by-step explanation:

(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work

1. 14/3

2. 9

4. 5

5. 15

(Sixth one is confusing sorry! But I hope you do well on it since I can't help you :|)

Answer:

27 members

Step-by-step explanation:

So we have 18 members and we see a 50% increase in members.

So:

Now the squad is 150% of 18

We can set up a percent proportion

x/150=18/100

To solve, we do:

(150*18)/100 = x

27 = x

There is an easier way to do this with benchmark fractions.

We find 50% of 18 which is 9

And since it's a 50% increase, we add 9 to 18 and get 27

Let me know if you have any questions

Answer:

B) 8 + J

(It's saying my answer is too short, not too sure why)

Step-by-step explanation:

Write multiplication and division equations to model and solve the problem. Use m for the unknown

Answer:

Answer is 97.2

Step-by-step explanation:

Answer:

y = - x - 2

2x - 3y = - 9

put value of y

2x - 3(-x - 2)= -9

2x +3x +6 = - 9

5x = - 9 - 6

5x = - 15

x = - 3

now put x in y = - x - 2

y = - (-3)-2

= 3-2

y = 1

Answer:

3/4 cup of water

Step-by-step explanation:

2.25 (2 1/4) divided by 3 (or times 1/3) is 3/4

The required number of cups of water is 3/4 cups of water

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of cups of rice = 1 cup

The number of cups of water for making rice = 2 1/4 cups of water

So the equation for

The number of cups of water for 1/3 cups of rice =
Number of cups of water for making rice / 3

The number of cups of water for 1/3 cups of rice = 2 ( 1/4 ) / 3

                                                                                 = 9/4 / 3

                                                                                 = 3 / 4 cups of water

Therefore , the number is 3/4 cups of water

Hence , The required number of cups of water is 3/4 cups of water

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Answer:

[tex](b^4)^2 = b^{8}[/tex]

Step-by-step explanation:

Given

[tex](b^4)^2[/tex]

Required

Simplify

In indices, we have:

[tex](a^m)^n = a^{m*n[/tex]

So:

[tex](b^4)^2 = b^{4*2}[/tex]

[tex](b^4)^2 = b^{8}[/tex]

Answer:

243

Step-by-step explanation:

multiply each number by 3