A jet flew from New York to Los Angeles, a distance of 4,200 kilometers. Then it completed the return trip.
The speed for the return trip was 100 kilometers/hour faster than the outbound speed. This expression,
where x is the speed for the outbound trip, represents the situation.
4,200
4,200
T +
5 + 100
Which expression could be a step in rewriting this sum?

Answer:

The slope of the line represented by y = -5x is "-5".

Step-by-step explanation:

y=mx+b

M=slope

b=Y-intecerpt

Answer:the answer would B

Step-by-step explanation:

When you subtract the x will be eliminated because 8 -8 is 0

Hope it helps:)

Answer: 0.30 or 30 cents per ounce

Step-by-step explanation:

Answer:

C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.

Step-by-step explanation:

Which statement best describes the depth of the whale, given this equation?

A. From a starting point of 9 meters below sea level, the whale is descending 5 meters per second.

B. From a starting point of 9 meters below sea level, the whale is ascending 5 meters per second.

C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.

D. From a starting point of 5 meters below sea level, the whale is ascending 9 meters per second.

Solution:

A linear equation is an equation in the form y = mx + b, where m is the rate of change (slope) and b is the initial value of y when x = 0, y is a dependent variable and x is an independent variable.

Given that: y = -9x - 5

Comparing with the equation of a straight line, m = -9 and b = -5

Since m = -9, The negative sign means descending, therefore the whale is descending at 9 meters per second.

b = -5, the negative sign means below sea level, hence the starting point of the whale is 5 meters below sea level,

Answer:

1.58

Step-by-step explanation:

Making r the subject of the formula, r is solved as: B. r = (27 - P)/3P.

Given the formula, A = P(1 + rt), where:

A = 27 and t = 3

To solve for r, make r the subject of the formula as shown below:

A = P(1 + rt)

Divide both sides by P

A/P = 1 + rt

Subtract 1 from both sides

A/P - 1 = rt

(A - P)/P = rt

Multiply both sides by 1/t

(A - P)/P × 1/t= rt × 1/t

(A - P)/Pt = r

r = (A - P)/Pt

Substitute A = 27 and t = 3 into the formula

r = (27 - P)/P3

r = (27 - P)/3P

Therefore, making r the subject of the formula, r is solved as: B. r = (27 - P)/3P

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Answer:

The first time, the ant went 2m away, then we have a₁ = 2m

The second time, the ant went 3m away, then we have a₂ = 3m

The next time, the ant went a distance equal to the sum of the two previous ones, so we can write it in a general case as:

aₙ = aₙ₋₁ + aₙ₋₂

Only if n > 2.

then the third time, we have n = 3.

a₃ = a₂ + a₁ = 2m + 3m = 5m

a₄ = a₃ + a₂ = 3m + 5m = 8m

a₅ = a₄ + a₃ = 5m + 8m = 13m

This means that in the fifth trip, the ant went 13 meters away from its nest.

And if we consider the fact that the ant must go and return, then it will move a total distance of 13 meters two times, or 2*13m = 26 meters.

Step-by-step explanation:

V = πr²*(h/3)

diameter = 6, r=3

V = π*9*(24/3)

= 81π

which is approximately

254.5 in³

Answer:

Area = 24 in²

Perimeter = 24in

Step-by-step explanation:

To find the area given the length of the 3 sides:

a= 8in

b= 6.4in + 3.6in= 10in

c= 6in

Add them together:

8in + 10in + 6in

= 24in²

To find the perimeter you do the same thing:

a= 8in

b= 10in

c= 6in

Add them together

=24in

DO NOT SQUARE THE ANSWER WHEN FINDING PERIMETER

The first equation given as 7x + ( -6 ) = 6x - 2 is True.

The second equation given as 7 + 2x = 3x + 3 = 4 is false

Given data

7x + ( -6 ) = 6x - 2

7 + 2x = 3x + 3 = 4

The first equation

7x + ( -6 ) = 6x - 2

solving for x gives

7x  - 6 = 6x - 2

7x - 6x = 6 - 2

x = 4

checking for the value

7x + ( -6 ) = 6x - 2

7 * 4 - 6 = 6 * 4 - 2

28 - 6 = 24 - 2

22 = 22

Hence we say the expression in the first equation is true

The second equation

7 + 2x = 3x + 3 = 4

7 + 2x = 3x + 3

7 - 3 = 3x - 2x

4 = x

checking for the value of x

7 + 2x = 3x + 3

7 + 2 * 4 = 3 * 4 + 3

7 + 8 = 12 + 3

15 = 15

15 = 15 ≠ 4 false

The first equation is true while the second equation is false

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11.4  is the slowest time 100 meters can be run to make the team .

What in mathematics is a linear equation?

Total time we spent 100 meters  track = 12 sec

he ratio must be less that or equal to = 0.95

slowest time 100 meters can be run to make the team =  12 ×   0.95

                                                                                            = 11.4

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The complete question is  -

TRACK A college track coach compares the ratio of time it takes a runner to run 100 meters  to 12 sec . For a runner to be on the team, the ratio must be less than or equal to 0.95 . What is the slowest time 100 meters can be run to make the team?

Answer:

3h + 42

Step-by-step explanation:

1. start with inside the parenthesis

12h + 42 - 9h

2. simplify the expression

3h + 42 (H is 3 because 3 goes into 12 and 9).

use ”tham yaw” the two words are backwards

Step-by-step explanation:

count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2

x intercept is on the graph, 2.5

y intercept is also on the graph, -5

Answer:

slope = 5/2

x-intercept = 2.5

y intercept = -5

Step-by-step explanation:

x-intercept is when x is 0 something like ( 0, _ )

y intercept is when y is 0 something like ( _ , 0)

Answer:

Jon types 54 words per minute.

Step-by-step explanation:

If Jon typed 36 words in 2/3 of a minute, we need to divide 36 by 2.

36 ÷ 2 = 18

Therefore, Jon types 18 words in 1/3 of a minute. In order to find how many words are typed per minute, we must multiply 18 by 3.

18 x 3 = 54

Therefore, Jon types 54 words per minute.

Hope this helps! :D

Answer:

length: 37

width: 11

Step-by-step explanation:

2(4x-7)+2x=96

8x-14+2x=96

10x-14=96

10x=110

x=11

Answer: It is 6x+12

Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.

Answer:

1. 8+n

2. 4g

3. 2x-5

4. 6/x

5. 3m +9

6. 7+(8-6)

7. If n = 3, 8 - n = 8 - 3

The answer is 5.

8. 18 / 9 = 2

The answer is 2.

9. If x = 4, ten 3x + 1 = 3(4) + 1 = 13

The answer is 13.

Thank you for posting your question. I hope you found you were after. Please feel free to ask me another.

Answer:

16 square feet was left over after he cut out the windows

Step-by-step explanation:

The formula of the area of a rectangle is A = l × w, where

∵ The dimensions of each window are 8-foot by 4-foot

∴ l = 8 feet and w = 4 feet

→ By using the rule above find the area of each window

∵ A = 8 × 4

∴ A = 32 feet²

∴ The area of each window = 32 feet²

∵ He cut 2 windows

∴ The area of the 2 windows = 2 × 32

∴ The area of the 2 windows = 64 feet²

∵ The area of the wall is 80 feet²

→ To find the area of the wall left, subtract the area of the windows from

   the area of the wall

∵ The area left = 80 - 64

∴ The area left = 16 feet²

∴ 16 square feet was left over after he cut out the windows

Answer:

D

Step-by-step explanation:

None of them logically make sense. A is wrong because it is a higher amount of people who carry a cell phone than not. B and C is wrong because not 100% of people they interviewed carry a cell phone so D is the correct answer

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

Answer:

sweet god yes it is unless she 12 feet tall then no

Step-by-step explanation:

Answer: No.

Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!

Answer:

Step-by-step explanation:

Depreciation factor is (100 - 12)/100= 0.88 per year

Final value of the car:

Answer:

B

Step-by-step explanation:

The normal absolute value notation " | x | " does not round the value on the inside up or down. If 5.6 was the input, 5.6 would be the output.

I have not seen the notation in B before, but it is the only option available that seems logical enough to represent the pattern in the chart. The hooks on the bottom of the "|"'s appear to represent that it rounds down. If I were to answer this question, that would be my choice.

Answer:

the exact answer is 58.65

Step-by-step explanation:

since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things

Answer:

158 natural numbers from 78 to 234, and 699 whole numbers from 24 to 721.

Step-by-step explanation:

Natural numbers are positive integers (whole numbers), so all numbers from the range of 78 to 234 would be included, including 78 and 234 itself. That is 158 natural numbers. Whole numbers are numbers without a fraction or decimal, they are integers. So all numbers from 24 to 721 would be included, as well as 24 and 721 itself. That is 699 whole numbers from 24 to 721. Hope this helps.

Answer:

157 for natrual numbers

Step-by-step explanation:

234-77

Answer:

n=-18

Step-by-step explanation:

Steps:

multiply 3 by both sides of the equation

2. cross out the 3 from [tex]3(\frac{2}{3} )[/tex] and you will get 2 and then do -12 x 3 and you will get -36.

3. you now have 2n=-36

4. divide both sides by 2 to isolate n by itself.

[tex]\frac{2n}{2} =\frac{-36}{2}[/tex]

5. divide by crossing out 2 and 2 on the right and then do -36 ÷ 2 which will give you n= -18

Hope this helps :) if you have any questions let me know.

Hi!

To find the value of n in the given equation, multiply both sides by 3.

That way, you'll clear the fractions and solving for n will be easier.

[tex]\implies\boldsymbol{\displaystyle\frac{2}{3} n\times3=-12\times3}[/tex]

Watch what happens:

[tex]\implies\boldsymbol{\displaystyle\frac{2}{\not3} n\times\not3=-36}[/tex]

On the LHS, the 3's cancel out, and we're left with 2n:

[tex]\implies\boldsymbol{2n=-36}[/tex]

Now, divide both sides by 2:

[tex]\implies\boldsymbol{n=-18.}[/tex]

Voila! There's our solution.

Have a nice day!

I hope this helps.

-stargazing

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

Answer:

The theoretical probability of landing on a star space on your first roll  

✔ decreases

The theoretical probability of not landing on a question mark on your first roll  

✔ increases

The theoretical probability of reaching the end space on your first roll  

✔ does not change

Answer:

1) Decreases

2) Increases

3) Does not change

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20