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Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When c is the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the current).
Find the difference in simplest form.
Answers
Answer:
It takes about 30 minutes to kayak 1 mile on flat calm water.
Step-by-step explanation:
The required simplified solution of the given expression is 16c/[25 - c²].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given expression,
= 8 / 5 - c - 8 / 5 + c
= 8 [5 + c - 5 + c] / [5² - c²]
= 8 / [25 - c²] × 2c
16c/[25 - c²]
Thus, the required simplified solution of the given expression is 16c/[25 - c²].
Learn more about simplification here:
https://brainly.com/question/12501526
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Related Questions
Sasha works as a babysitter. She charges $20 for the job plus an additional $5 per hour. Sasha and her family will soon be leaving for vacation, and Sasha would like to have at least $70 for spending money. How many hours does Sasha need to work to earn her goal?
Answers
Answer:
She would have to work 10 hours.
Step-by-step explanation:
She charges 20 to do the job but 5 for every hour well she already has 20 cause thats what she charges to do the job and sine 5x10=50
50+20=$70 so she will need to work 10 hours to be able to spend $70 on trip
8. Jayden spent $250.00 on a new phone and two sets of earbuds. The phone costs $150.00.
How much did each set of earbuds cost?
Answers
Write an expression that contains four terms and simplifies to 3y + 5.
Answers
Answer:2y+y-4+9
Step-by-step explanation:
2y+y-4+9
What is this math equation? 50 + 6x +1 - 22x
Answers
Answer:
− 1 6 + 5 1
Step-by-step explanation:
For a craft project, Jackie cuts the two triangles described below out of fabric. Find the length of CE¯¯¯¯¯¯¯¯.
In triangle CDE, CD¯¯¯¯¯¯¯¯=7 cm, CE¯¯¯¯¯¯¯¯=(4z+7) cm, ∡C=48°, and ∡E=82°. In triangle TUV, UV¯¯¯¯¯¯¯¯=(13z−20) cm, UT¯¯¯¯¯¯¯=7 cm, ∡U=48°, and ∡V=82°.
Answer: ???
Answers
Answer:
19
Step-by-step explanation:
took the test
Given:
In triangle CDE, CD=7 cm, CE=(4z+7) cm, ∡C=48°, and ∡E=82°.
In triangle TUV, UV=(13z−20) cm, UT=7 cm, ∡U=48°, and ∡V=82°.
To find:
The length of CE.
Solution:
In triangle CDE and triangle UTV,
[tex]m\angle C=m\angle U[/tex] (Given)
[tex]m\angle E=m\angle V[/tex] (Given)
[tex]CD=UT[/tex] (Given)
Two angles and a non -included side are equal in both triangle. So, both triangles are congruent by AAS postulate.
[tex]\Delta CDE\cong \Delta UTV[/tex]
[tex]CE=UV[/tex] (CPCTC)
[tex]4z+7=13z-20[/tex]
[tex]4z-13z=-7-20[/tex]
[tex]-9z=-27[/tex]
Divide both sides by -9.
[tex]z=3[/tex]
Now,
[tex]CE=4(3)+7[/tex]
[tex]CE=12+7[/tex]
[tex]CE=19[/tex]
Therefore, the length of CE is 19 cm.
Gordon types 3,478 words in 47 minutes. Find the unit rate.
Answers
Answer:
74 words per minute
Step-by-step explanation:
If the tiles
3478 words ———————-> 47 mins
? Words ————————> 1 min
cross multiply
?=74
Order the set of integers from greatest to least.
{8, 43, -25, 12, -14, 3}
Answers
Answer: { 3, 8, 12, 43, -14, -25 }
greastest---leastest
Step-by-step explanation:
PLEASE HELP! BRAINLIEST to correct answer!!
Answers
Answer:
(-∞,-9)
Step-by-step explanation:
How do you do this?
Answers
Answer:
Step-by-step explanation: Use the slope formula which is y2-y1
x2-x1
the right is m=-1over -1
In the 1800s, wagon trains traveled west along the oregon trail. A wagon train traveled from missouri to wyoming in 1 2/3 months and from wyoming to utah in 3/5 month. About how many months did it take the wagon train to travel from missouri to utah?
Answers
Answer: 2 4/15 months
Step-by-step explanation:
From the question, we are informed that a wagon train traveled from Missouri to Wyoming in 1 2/3 months and from Wyoming to Utah in 3/5 month.
The number of months that it will take the wagon train to travel from Missouri to Utah will be:
= 1 2/3 + 3/5
The common lowest multiple is 15
= 1 10/15 + 9/15
= 1 19/15
= 1 + 1 4/15
= 2 4/15 months
It will take they train 2 4/15 months to travel from Missouri to Utah.
Question 2
Which of the following expressions contain a coefficient of 4? Choose the TWO correct answers.
A 6y + 4 - 5 x 8
B
4 + 2w •6 + 2
С
4r +9
D
2 + 4z
Answers
Solve |y - 2|<10
I need help with with this please
Answers
Answer: -8<y<12
Step-by-step explanation:
Answer:
The answer is: −8 < y < 12
Marvin had 2 spools of fishing line. Each spool had
10 yards of fishing line. Marvin used 4 yards from
each spool. How many yards of fishing line were left
on the spools?
$27.12
Card 9
Answers
find the value of 7⁴
Answers
Answer:
2401
Step-by-step explanation:
Because 7x7x7x7 is 2401, you’re supposed to multiply 7 by it’s exponent, and in this case, its 4. So multiply, 7 four times.
What values of x and y simultaneously satisfy the two equations given?
y = 2x – 3
y =[tex]\frac{1}{3}[tex] x + 2
Answers
9514 1404 393
Answer:
(x, y) = (3, 3)
Step-by-step explanation:
The two expressions for y can be set equal:
2x -3 = 1/3x +2
5/3x = 5 . . . . . . add 5 -1/3x
x = 3 . . . . . . . . . multiply by 3/5
y = 2(3) -3 = 3 . . . find y using the first equation
The solution to the system of equations is (x, y) = (3, 3).
$1500 at 9% for 2 years
Answers
Answer:
Step-by-step explanation:
You basicly want to use A=pe^rt to find the amount of money you now have. A is the total amount of money you have after a certian period of time (T) while your money grows at a steady rate (R). (E) is an irrational number 2.71828. (P) is the amount of money you started with. Your precentage is your rate and this means you earn 9% of what you have per year. The way the problem would be set up A=1500(2.71828)^(.09)(2). This problem allows for exponential growth to occur because your two variables are time and the amount you have in that time.
what is 7million times 7m times 7m times 7quintilion
Answers
Answer:
We if you really want to know the answer....
2.401e+29
Step-by-step explanation:
(2,3), (-1,5), (0,-1), (3,5), (5,0)
Domain:________
Range:_________
Function: yes no
Answers
Answer:
Domain: {-1, 0, 2, 3, 5}
Range: { -1, 0, 3, 5, 5}
Function: no
1
What is the y-intercept?
Answers
write an equation that describes each line in slope intercept form........slope= 4 y-intercept=-3
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
slope - intercept form is: y = m*x + b, where m is slope and b is the y intercept.
B'(-3,-4)is the image of B after a reflection in the y-axis. what are the coordinates of B
Answers
You should use desmos. It’s a graphing calculator and you can plant your points and easily see a reflection or translation and stuff like that.
Without using a calculator, show that 0.19 can be written as
19/99
Answers
Answer:
explanation above in the pic
A map has a 1 inch to 200 miles scale. If Atlanta is 15 inches away from Los Angeles on the map, how far apart are they in real life?
A: 3000 miles
B: 300 inches
C: 300 miles
D: 30 miles
Answers
Answer: A) 3000 miles
Step-by-step explanation:
B, C, and D couldn't possibly be correct.
Answer:
A: 3,000
Step-by-step explanation:
If one inch on the map is equivalent to 200 miles in real life the equation would look like 200i=m, i representing inches and m representing miles. To solve this certain equation you would mulitiply 200 by 15 which is 3,000
Hope this helped, good luck!
help asap give brain list
Answers
3. To combine the equations and solve for one of the variables, you need to eliminate the other
variable. How can you change one equation so that one variable is eliminated when the two
equations are added? Explain and write the new equation. (3 points: 2 for your explanation and
1 for the equation)
Answers
Answer:
If we multiply equation 2 with -6 and add both equations, we can eliminate variable y. The equation is given and solved below.
Step-by-step explanation:
The equations given are:
12x+6y=120
4x+y=30
We need to find How can you change one equation so that one variable is eliminated when the two equations are added?
Let:
[tex]12x+6y=120--eq(1)\\4x+y=30--eq(2)[/tex]
If we multiply equation 2 with -6 and add both equations, we can eliminate variable y.
Solving
[tex]12x+6y=120\\-24x-6y=-180\\---------\\-12x+0y=-60\\-12x=-60\\x=\frac{-60}{-12}\\x=5[/tex]
So, we eliminated the variable y and found the value of x.
Now Putting value of x in any of above equations we can find value of y.
[tex]4x+y=30\\4(5)+y=30\\y=30-20\\y=10[/tex]
So, we get value of y=10
could somebody help me please
Answers
Answer:
Step-by-step explanation:
1/2 x 1/3 = 1/6
5/12 x 3/4 = 5/16
5/16 x 2 = 5/8
Answer:
the first one is 1/6 the second is 5/8 the third is 5/16
Step-by-step explanation:
which statement is not true
Answers
Answer:
where are the statements
Which rules of exponents will be used to evaluate the expression. check all that apply
[(7^5)(7^3)]^-4
quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent
plz help
Answers
9514 1404 393
Answer:
product of powerspower of a powernegative exponentStep-by-step explanation:
The value in square brackets is evaluated using the product of powers rule:
(7^5)(7^3) = 7^(5+3) = 7^8
Then the overall value is found using the power of a power rule:
[7^8]^-4 = 7^(8(-4)) = 7^-32
Finally, the expression value is found using the negative exponent rule:
7^(-32) = 1/7^32 = 1/1104427674243920646305299201
Pls help, need this to pass, will give brainliest
Answers
Answer:
4
Step-by-step explanation:
Since the coefficients must be real and one of the roots is 1-i, then there has to be another root which is 1+i so that the coefficients can be real. Summing up all of the roots, we see there are 4 roots that just be part of the equation: 3, 4, 1-i, and 1+i. Since it is asking for the least, it has to be 4. Since the number of roots is the degree, the least it can be is 4.
what is 5/8 - 6/8 i am super confuse lol
Answers
Answer: if you’re supposed to be subtracting the answer would be -1/8
Step-by-step explanation:
The denominator is the same so you don’t have to change it. The numerator is 5-6 which is -1.
Answer:
5
8
–
6
8
=
5 – 6
8
=
– 1
8
Step-by-step explanation:
