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?
Answers
Answer:
the answer of this qst is A
Applying the least common multiple, the fraction is rewritten as
[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
---------------------------------------
The fraction given is:
[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]
When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.
[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]
Which is option A.
A similar problem is given at https://brainly.com/question/17165235
Related Questions
Find the Volume of the shape
Answers
Step-by-step explanation:
V = πr²*(h/3)
diameter = 6, r=3
V = π*9*(24/3)
= 81π
which is approximately
254.5 in³
Expand and simplify 2(5x + 3) - 2(2x - 3)
Answers
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.
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
Suppose you rolled a twelve-sided number cube instead of a standard six-sided one. How would the probability of these events change?
The theoretical probability of landing on a star space on your first roll
.
The theoretical probability of not landing on a question mark on your first roll
.
The theoretical probability of reaching the end space on your first roll
.
Answers
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:
Triangle JKL has an area of in2 and a perimeter of in.
Answers
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
Select the correct answer. Given the following formula, with A = 27 and t = 3, solve for r.
Answers
Making r the subject of the formula, r is solved as: B. r = (27 - P)/3P.
How to Solve the Subject of a Formula?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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Can somebody help me??
Answers
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
need help finding slope, x-intercept, and y-intercept
Answers
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)
A total of 250 people were surveyed about whether or not each person carries a cell phone.The results are shown below in relative frequency table.Which statement is correct?
Answers
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
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
8x + 6y = 66
8x - 4y = -4
A. Add to eliminate y.
B. Subtract to eliminate x.
C. Subtract to eliminate y.
D. Add to eliminate x.
Answers
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:)
While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?
Answers
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
A whale is swimming at a constant rate toward the ocean floor. The equation y = -9x − 5 can be used to represent this situation, where y is the depth of the whale in meters below sea level and x is the number of seconds the whale has been swimming. Which statement best describes the depth of the whale, given this equation?
Answers
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:
PLS HURRY I NEED HELP FAST
The list shows the number of hours Adamma was at swimming practice on each of
four days.
3.2 ,3 2/3 , 3.25 , 3 1/2
Which list shows these values in order from greatest to least?
A
3 2/3, 3 1/2, 3.25, 3.2
B
3.2 , 3.25, 3 1/2, 3 2/3
C
3.25, 3 2/3, 3 1/2, 3.2
D
3.25, 3.2, 3 2/3, 3 1/2
Answers
Answer:
A
Step-by-step explanation:
Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20
Evaluate the following expression 1 x (-4 + (-8)
Answers
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.
6(2h+7)-9h
equivalent expression
Answers
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
how many natural numbers?
from 78 to 234
how many whole numbers
from 24 to 721
Answers
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
Type the correct answer in the box. Use numerals instead of words.
What value of n makes the equation true?
2/3n=-12
n=
Answers
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
The value of a car is $18,000 and is depreciating at a rate of 12% per year. Find how much the car will be worth in 10 years?
Answers
Answer:
$5013Step-by-step explanation:
Initial value of a car - $18000Depreciation rate - 12% per yearTime - 10 yearsDepreciation factor is (100 - 12)/100= 0.88 per year
Final value of the car:
$18000*(0.88)¹⁰ = $5013Can someone please help me with this!! I don't know how to do this
Answers
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
An ant went 2 meters away from its nest searching for food. The next time, the ant went 3 meters away. Each successive time the ant leaves the nest to search for food, the ant travels the sum of the two previous times. How far will the ant travel on his fifth trip?
Answers
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.
Giving all points
Solve for the constant of variation.
Answers
Which function represents the relationship shown in the table?
Answers
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.
I NEED HELP ASAP PLEASE!!!!!
Answers
Answer: 0.30 or 30 cents per ounce
Step-by-step explanation:
Someone help!
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answers
jordan owes the least amount of money
suzanna need a borad that is a least 3.5 meters long.Is the board long enogh
Answers
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!
Well heck,how come, to me this looks like collage level stuff please help me? My cousin isn’t awake enough and he usually helps me and I don’t wanna wake him up,just help me till he wakes up. Try to answer correctly please,if you don’t know then please scroll past ok? I need to get this right so my mom can think I’m “perfect”
Answers
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
100 meters to 12 seconds for a runner to be on the team the ratio must be less thar or equal to 0.95 what is the slowest time 100 meters can be run to make the team
Answers
11.4 is the slowest time 100 meters can be run to make the team .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.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
Learn more about Linear equation
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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?
What is the slope of the line represented by the equation y=- } - 5x?
0 -5
or win win
O 5
Hurry please!
Answers
Answer:
The slope of the line represented by y = -5x is "-5".
Step-by-step explanation:
y=mx+b
M=slope
b=Y-intecerpt
While Matt was building a new home, he built an area of 180 square feet. He cut two 8 foot by 4-
foot windows on the wall. How much wall was left over after he cut out the windows?
Answers
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
l is the length of the rectanglew is the width of the rectangle∵ 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
Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.
Answers
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
1). 7x+(-6)=6x-2 True or False
2). 7+2x=3x+3=4 True or False
SHOW WORK
Answers
The first equation given as 7x + ( -6 ) = 6x - 2 is True.
The second equation given as 7 + 2x = 3x + 3 = 4 is false
How to find if the equation is true or 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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