solve absolute value equation |5c-17| = |3x +11|
Answers
9514 1404 393
Answer:
x = 3/4 or 14
Step-by-step explanation:
Assuming your equation is ...
|5x -17| = |3x +11|
it can be rewritten as two equations:
5x -17 = -(3x +11)
5x -17 = 3x +11
__
The solution to the first of these is ...
5x -17 = -3x -11
8x = 6 . . . . . . . . add 3x+17
x = 6/8 = 3/4 . . . divide by 8
The solution to the second equation is ...
5x -17 = 3x +11
2x = 28 . . . . . . . . add 17-3x
x = 14 . . . . . . . . . . divide by 2
The solutions are x = 3/4 or x = 14.
Related Questions
Steve invested money in the stock market. In the first year, his stock increased 50%. He paid his stockbroker $350 and then lost $400. He withdrew $300, and then his remaining investment doubled. Steve's investment is now worth $8100. How much was Steve's original investment?
Answers
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
Please solve for X helppp
Answers
Answer:
x = 91
Step-by-step explanation:
The sum of the 4 interior angles of a quadrilateral = 360°
Sum the 4 angles and equate to 360, that is
x + 10 + x - 10 + x + 6 + x - 10 = 360 , then
4x - 4 = 360 ( add 4 to both sides )
4x = 364 ( divide both sides by 4 )
x = 91
Answer:
I wish I could answer better, but the bets I can do is that 81<x<99
Write an equation in point-slop form that
goes through the points (5, 7) and (-1, 3).
Answers
Answer:
y−7=2/3⋅(x-5)
Step-by-step explanation:
Find the point-slope form.
Use the picture below please!!
Answers
Answer:
AB and BC are Skew
AE and BF are Parallel
Step-by-step explanation:
Rebekah lives on a large, rectangular-shaped property that has a length 500 m and a width of 200 m. If it takes Rebekah 420 s to run the entire perimeter of her property, what is her average speed in meters per second rounded to the nearest hundredth?
Answers
Answer:
3.33m/s
Step-by-step explanation:
The perimeter of a rectangle is
= 2(L + W)
L = 500m
W = 200m
= 2(500 + 200)
= 2(700)
= 1400m
If it takes Rebekah 420 s to run the entire perimeter of her property.
Her average speed in meters per second rounded to the nearest hundredth is = Distance/Time
= 1400m/420s
= 3.3333333333 m/s
Approximately = 3.33m/s
WILL MARK YOU BRAINLIEST!!!!!!
Answers
Answer:
its the first one I think
Step-by-step explanation:
Answer: the first one
the third one and the last one hope this helps
Step-by-step explanation:
what is 11/12 minus 3/8
Answers
Answer: [tex]\frac{13}{24}[/tex]
Step-by-step explanation: 11/12 - 3/8
1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.
12: 12, 24, 36, 48, 60, 72, 84, 96
8: 8, 16, 24, 32, 40, 48, 56, 64, 72
2. Next, we will choose the smallest common multiple. That would be 24.
3. Now, we will work this out.
11/12 = 22/24
3/8 = 9/24
4. Subtract.
22/24 - 9/24
= 13/24
= [tex]\frac{13}{24}[/tex]
I found the denomenators by multiplying.
Hope this answer helped!
Solve. 6 · x = 42 plzzzzzz fast
Answers
Answer:
6 · x = 42 and x = 7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
what is the LCM of the next numbers
30
42
54
Answers
Answer:
1890 is the least common factor
Answer:
for 30 its Prime factorization of 30 = 2 × 3 × 5. Using all prime numbers found as often as each occurs most often we take 2 × 2 × 3 × 5 = 60. Therefore LCM (12,30) = 60.
for 42 its 42 and 54 is 378.
for 54 its The prime factorization of 54 is: 2 x 3 x 3 x 3. The prime factorization of 72 is: 2 x 2 x 2 x 3 x 3. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(54,54) = 2
Step-by-step explanation:
Divide. Round to the nearest tenth if necessary. 118.5 divided by 5
Answers
Answer:
23.7
Step-by-step explanation:
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven. For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile. Write an equation and find the number of miles for which the companies’ charges will be the same.
Answers
Answer:
100 miles
Step-by-step explanation:
Let the number of miles driven = x
Rapid Rental Car Company charges a $55 rental fee and $0.25 per mile driven.
$55 + $0.25x
55 + 0.25x
For the same car, Capital Cars charges $45 for rental fee and $0.35 per mile.
$45 + $0.35x
45 + 0.35x
Equation :
55 + 0.25x = 45 + 0.35x
The number of miles for which the companies’ charges will be the same is calculated as:
55 + 0.25x = 45 + 0.35x
Collect like terms
55 - 45 = 0.35x - 0.25x
10 = 0.10x
x = 10/0.10
x = 100 miles
The number of miles for which the companies’ charges will be the same is
100 miles.
What is (2,6) reflected over the y-axis?
Answers
Answer:
(-2,6)
Step-by-step explanation:
Find the value of x.
O x = 2
O x = 3
Ox=33
O x = 52
Answers
Answer:
x=3
Step-by-step explanation:
i just know
solve this fraction
11/12 -7/9 =?
Answers
Answer:
5/36
Step-by-step explanation:
Consider the statement: Subtract 28 from t and multiply the difference by 4.
Which expression represents the statement above?
A. 4(28*t)
B.t-28*4
C.28-t*4
D.4(t-28)
Answers
Answer:
D!
Step-by-step explanation:
We need to obviously subtract, only C and D do thatt. But, you don't multiple t or 28 by 4. You need to multiply the difference, so you need parentheses!
Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged by the ounce. The following table shows the weight and cost of each person's bowl.
Person Mona Tabitha Reid
Weight of bowl 9.2 ounces 8.1 ounces 7.8 ounces
Cost of bowl $4.14 $3.65
A. What does the yogurt shop charge per ounce?
B. What should Reid's bowl cost?
Answers
Answer:
A) $0.45 per oz
B) $3.51
Step-by-step explanation:
4.14/9.2 = 0.45
0.45 x 7.8 = 3.51
please help and tysm to whoever does :))
Answers
Answer:
26. 1/2
27. 1/4
28. 25
29. 20
Answer:
26) 50% or 1/2 27) 25% or 1/4 28) 25 times 29) 20 times
Step-by-step explanation:
26) A is divided in half of the pie graph, where B and C make up the other half, but you are only concerned about A, so it is half of 100%. 100% / 2 = 50%
27) B and C make up the other half of the pie chart. B is half of the half, so that means (1/2) / 2 or (1/2)*(1/2) which equals 1/4. 1/4 times 100 = 25%.
28) From question 26, you are expected to land on A 50% of the time. So 50% of 50 times is equal to 25 times. 50% of something is equal to 1/2 of something, so you divide 50/2 or multiply 50 * (1/2)
29) From question 27 B and C make up the other half of the pie chart. If B is 1/2 of 1/2, so is C, meaning that you have an equal chance of landing C as you have a chance of landing on B - 25% or 1/4. If you spin 300 times, you calculate 25% or 1/4 of 300. To do that you either multiply 300* (1/4) or do 300 / 4.
Is Queen Beyoncé correct or incorrect? If she's incorrect, what did she do wrong?
Answers
Answer:
she is correct its all about queen B
Step-by-step explanation:
Answer:
Incorrect
Step-by-step explanation:
First thing she did wrong was applied to distributive property incorrectly. She should of multiplied the numbers in the parenthesis by -1 instead of -12
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
Answers
Answer:
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
pls mark me brainlest
Answer:
2x+ 5y= -2
Step-by-step explanation:
Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the
pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?
Answers
Answer:
1.5/5 or 1 1/2/5
B: 3/10
Step-by-step explanation:
2.5/5 is the whole part of pizza with pepperoni. So 1/5 subtracted from 2/5/5 is 1.5 The remaining part of the pizza with pepperoni is 1.5/5!
1.5/5 is 0.3
3/10=0.3!
The radius of the red circle is 7 units and the distance between the two circles is 3 units.
What is the diameter of the red circle?
A 8 units
B 12 units
C 14 units
D 20 units
Answers
Answer:
14
Step-by-step explanation:
The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14. Most of the information presented is unrelated.
Shelby wrote a 2 1/3 page English paper and a 3 3/4 page History paper. How many total pages did she write?
Answers
Answer: 6 pages
Step-by-step explanation: 2 1/3 + 3 3/4 = 6
if f(x) = x^3+2x^2-5, then what is f(-3)
Answers
Answer:
f(- 3) = - 14
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x), that is
f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14
PLS HELP I WILL GIVE YOU Brainliest
Answers
Answer:
3/2
Step-by-step explanation:
Because the problem tells you that the two triangles are similar, the value of a/b would be equivalent for both triangles. The fact that they are right triangles also indicates which sides are which in case the image was not drawn to scale. A is proportional to 2.1 and b is proportional to 1.4. So a/b= 2.1/1.4. This can reduce itself to 3/2 because both are divisible by .7
3
Find an equation for a cosine function that has an amplitude of 3/5, a period of 270°, and a y
intercept of 5.
Answers
Answer:
y=sin2x+3
Step-by-step explanation:
for every 5 hours that he works, andre is paid 60.20
use this information to write the linear equation to represent this situation.
A=___h+____
Answers
Answer:
this is hard..
Step-by-step explanation:
i tjhink it 109?
Help pleaseeeeeeeeee
Answers
Answer:
pretty sure its the 4th on reflection and rotation,
Step-by-step explanation:
I haven't done these in a while, but am 90 % sure
Answer:
D, Reflection and Rotation.
Step-by-step explanation:
Refelction is taking an image and flipping it (so it's backwards), and roation is turning it.
-process of elimination:
-must be reflected
-leaves 2 answers
-translation means just moving something
-it's D
which of the Following angle pairs are considered Vertical angles
Answers
Answer:
Vertical pairs are the complete opposite of one another. It is simple to find vertical pairs because they are opposite of one another.
Step-by-step explanation:
Look at the example.
f(x) = 8x + 1
f^-1(x)
Answers
f^-1(x) = 1/8x+1 (an inverse power is the reciprocal of the function raised to the indicated value)
Answer:
(x+1)/8 = f^-1(x)
Step-by-step explanation:
switch x and y (aka f(x) )
x=8y+1
solve for your new y
(x+1)/8 = y
I REALLY NEED HELP
it’s number 13
Answers
Answer:
It would be Town B.
Step-by-step explanation:
be So if we have 2/5 out of 100 then we would multiply 5 times whatever number, which would be 20, and then we would multiply the numeratoar times 20 and we would get 40/100 and that would equal -3.40 so then -3.40 is a lower temp that -3.33 so it would be Town B.
