What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?
Answers
I hope my work .... helped you out a little.
![What Is The Solution Of The Equation 4[x + 2(3x 7)] = 22x 65?](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/iEimvs22KM33NY3cW7Y59Rd2XA6vSfyh.png)
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
4 * (X + 2 * (3 * X - 7)) - (22 * X - 65) = 0
Pull out like factors:
7X - 14 = 7 * (X - 2)
28 * (X - 2) - (22X - 65) = 0
Pull out like factors:
6X + 9 = 3 * (2X + 3)
3 * (2X + 3) = 0
3 = 0... (equation never true, has no solution; a a non-zero constant never equals zero)
2X + 3 = 0
Subtract (-3) from both sides of the equation:
2X + 3 (-3) = 0 + (-3)
2X + 3 - 3 = 0 - 3
2X + 0 = -3
2X = -3
Divide both sides of the equation by 2:
2x / 2 = -3 / 2
X = -3 / 2
X = - 1.500
Related Questions
what should be subtracted from 1 to get 1-x+2x2
Answers
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Amswer : [tex]\boxed { ( x - 2x^2 ) }[/tex]
Well you have to subtract [tex]( x - 2x^2 )[/tex] from [tex]1[/tex] to get [tex]1- x + 2*2^2[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Have a great day/night!
❀*May*❀
Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses a maximum of 5,000 gallons of water per week. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.
What are the constraints for the problem?
Answers
Answer:
40x + 90y <2400
18x + 30y < 500
Step-by-step explanation:
Lee washes houses. It takes him 40 minutes to wash a one-story home, and he uses 18 gallons of water. Power washing a two-story home takes less than 90 minutes, and he uses 30 gallons of water. Lee works no more than 40 hours each week, and his truck holds 500 gallons of water. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his income washing one- and two-story houses. Let x represent the number of one-story houses and y represent the number of two-story houses. What are the constraints for the problem
Let
x=one story houses
y=two story houses
The constraints are the following:
1. Lee works no more than 40 hours each week.
40 hours=40 × 60 minutes
=2400 minutes
2. Lee's truck holds 500 gallons of water.
it takes Lee 40 minutes and 18 gallons of water to wash a one-story house.
it takes Lee 90 minutes and 30 gallons of water to wash a two-story house.
First constraint:
40*x + 90*y < 2400
40x + 90y <2400
Second constraint:
18*x + 30*y < 500
18x + 30y < 500
Answer:
It’s D
Step-by-step explanation:
Solve for x in the simplest form 11=1/2x+8
Answers
Answer:
x = 6
Step-by-step explanation:
11 = 1/2x + 8
-> Move 8 to left side
11 - 8 = 1/2x
3 = 1/2x
->We can switch sides so 1/2x is on the left and 3 is on the right
1/2x = 3
x = 3 x 2/1
x = 6
Answer:
x=6
Step-by-step explanation:
11=1/2x+8
subtract 8 from both sides first.
11-8=1/2x
3=1/2x
Now, multiply by 2 or divide by 1/2 from both sides (your pick)
3*2=x
Therefore the answer is x=6
What is the value of x + y
Answers
[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]
so:
x + y = 5
3x-6y=18 slope intercept form
Answers
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Start by writing the equation out as it is given in the question (in this case, in standard form).
[tex]3x-6y=18[/tex]
Next, subtract [tex]3x[/tex] from both sides.
[tex]3x-3x-6y=18-3x\\-6y=18-3x[/tex]
Switch around the [tex]18[/tex] and the [tex]-3x[/tex].
[tex]-6y=-3x+18[/tex]
Finally, divide the equation by [tex]-6[/tex] to get rid of the [tex]y-variable[/tex] coefficient, which is [tex]-6[/tex].
[tex]\frac{-6y}{6}=\frac{-3x+18}{-6}\\y=\frac{1}{2}x-3[/tex]
As shown in that last step, the equation is slope intercept form is: [tex]y=\frac{1}{2}x-3[/tex]
Answer:
y = 1/2x - 3.
Step-by-step explanation:
3x - 6y = 18
-6y = -3x + 18
Divide through by -6:
y = 1/2x - 3.
The diameter is 14 feet. What is the area of the garden. Use 3.14
Answers
Answer:
153.93804
Step-by-step explanation:
Area = π[tex]r^2[/tex]
r = [tex]\frac{d}{2}[/tex]
Area = π[tex]*7^2[/tex] = 153.938040026
Answer:
153.86Step-by-step explanation:
This is the answer because you have to use the formula
1. What do you have?
Formula: A = pi*r^2
Parts of Formula:
pi = 3.14
r = d/2
d = diameter = 14
r = radius = 7
2. Make Use of What you have
Make an equation:
pi * r^2
3.14 * 7^2 = A
3. Solve
3.14 * 7^2
= 3.14 * 49
= 153.86
SO the answer is 153.86Hope this helped,
Kavitha
The order of the matrix B is 4 × 5, the order of the matrix D is 4 × 2 and the size of the matrix E is 5 × 4; then the order of the matrix (B^T × D) + ED is: (note that: T stands for transpose)
Answers
Answer:
so the order will be 5 x 2
Step-by-step explanation:
When we find the transpose of a matrix we change the rows into columns and columns into rows so the order is also reversed.
The order of B transpose will be reversed i.e. it will 5 x 4.
When we multiply two matrices we check the columns of the first matrix should be equal to the rows of the second matrix and the answer should contain the rows of the first matrix and the columns of the second matrix as the order of the resultant matrix
B^T (5 X 4) X D ( 4 X 2)
B^TD (5 X 2)
Now ED will be
E (5 x 4) D (4 x 2)
ED ( 5 x 2)
Now adding
B^TD (5 X 2) + ED ( 5 x 2) = (B^T × D) + ED ( 5 x 2)
In addition the order does not change.
Evaluate the following expression:
25x(x - 4) when x = -1
Answers
Explanation:
25x(x-4) when x = -1
25(-1)(-1-4)
= (-25)(-5)
= 125
Expand and Simplify 3(4x + 1 ) -2(3x-4)
Answers
Answer:
[tex] \boxed{ \bold{ 6x + 11}}[/tex]Step-by-step explanation:
[tex] \mathsf{3(4x + 1) - 2(3x - 4)}[/tex]
Distribute 3 through the parentheses
[tex] \mathsf{12x + 3 -2(3x - 4)}[/tex]
Distribute 2 through the parentheses
⇒[tex] \mathsf{12x + 3 - 6x + 8}[/tex]
Collect like terms
⇒[tex] \mathsf{6x + 11}[/tex]
Hope I helped!
Best regards!!
Answer:6x+11
Step-by-step explanation:do whats in the parenthesis first and then the answer that you got your going to use the same addition, or multuplication , or subtraction sign . then you will get your final answer/,
What is 50% of 80? part percent
Answers
Answer:
40
Step-by-step explanation:
10% = 80 ÷ 10 = 8
50% = 8 x 5 = 40
Hope this helps!
Answer:
40
Explanation:
50% = 80 ÷ 2 = 40
Hope this helps!
Which statement accurately represents to
between pressure and volume?
As pressure increases, volume increa
As pressure decreases, volume decri
As pressure increases, volume decre
Answers
Answer:
As pressure increases, volume decreases.
Hope this answer correct :)
Answer:
As pressure increases, volume decreases
Step-by-step explanation:
like the other person said i agree with him or her because i just do :)
HELP! - Water boils at different temperatures at different elevations. The boiling temperature of water is 212F at sea level (0 feet) but drops about 1.72F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190F. Determine a formula for the boiling point b, in degrees Fahrenheit, at elevation h, in feet.
Answers
Answer:
a. T = -1.72x + 212
b. 12,790 feet
Step-by-step explanation:
a. Let us assume the number of 1,000 elevation feet be x
Now the equation would be
T = -1.72x + 212
here the negative sign represents the fall in the boiling temperature with rise in elevation
b. Since the formula is
T = -1.72x + 212
can we write
T - 212 = -1.72x
now divide by 1.72 in both the sides
[tex]\frac{t-212}{-1.72} = x\\\\ \frac{190-212}{-1.72} = x\\\\ \frac{-22}{-1.72} = x[/tex]
x = 12.79
So in feets it should be
= 12.79 × 1,000 feets
= 12790 feet
The diameter of a circle has the endpoints of (2, 5) and (-8, 29). Find the center and radius of the circle. ANSWERS ATTACHED, due in 2 hours, will give BRAINLIEST! 15 points!
Answers
Answer:
[tex]\mathrm{Center\:\:}= (- 3,17)\\\mathrm{Radius\:\:}= 13[/tex]
Step-by-step explanation:
Remember that the center of the circle would be equidistant from the given points that lie on the circle.
By determining the diameter through the distance of the given points, we can determine the radius by dividing this distance by 2. And by determining the radius we can determine the center of the circle. Let's do it.
[tex]\mathrm{Distance\:between\:}\left(2,\:5\right)\mathrm{\:and\:}\left(-8,\:29\right) = \sqrt{\left(-8-2\right)^2+\left(29-5\right)^2} = 26[/tex]
[tex]\mathrm{Radius\:\:}= 26 / 2 =13[/tex]
So now that we know the radius is 13 units, we can eliminate answer choice(s) # 2 and # 4. That leaves us with the first and third answer choices. The center being (5,12) is not likely, as most of the circle lies in the 2nd quadrant. That is presumably why (- 3,17) is more predictable. Our answer is the third option.
What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x - 7)
f(x) = (x + 2)(x + 7)
f(x) = (x - 3)(x + 7)
f(x) = (x+3)(x-7)
Answers
Answer: f(x) = (x + 3)(x – 7)
You welcome.
Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. The functions of her revenues can be modeled by C(x) = 10x - 50 What is a reasonable range for the function?
Answers
Answer:
A reasonable range for the function is [tex][0, +\infty)[/tex].
Step-by-step explanation:
Revenues are positive quantities since Andrea is looking for money after expenses, so that reasonable range of the revenue function is [tex][0, +\infty)[/tex].
Kevin was in a submarine 50 feet below sea level he dropped down 36 feet. How low is Kevin's submarine?
Answers
Answer:
The answer is 86 feet
Step-by-step explanation:
50+36=86
Hope this helps! （づ￣3￣）づ╭❤～
Answer:
14 feet
Step-by-step explanation:
The question asked was HOW LOW?
So you have to subtract it..
50 - 36=
14 feet.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Which of the following steps can be performed so that the square root property may easily be applied to 2x2=16? The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property.
Answers
Answer:
The square root property requires a quantity squared by itself on one side of the equation. the only quantity squared is x, so divide both sides by 2 before applying the square root property.
Step-by-step explanation:
To solve the given equation of 2x^2=16, the first step is to divide both sides by two to isolate the variable x. This leaves you with x^2=16. the next step would be to use the square root property, leaving the equation as x= 16 squared. then solve for x by squaring 16. This leaves it as x= 4 or -4
Answer:
A
Step-by-step explanation:
Just took the test
Given the midpoint (5,8) and that one of the endpoints is (-2. 6), find the other endpoint
of the segment.
Answers
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12, 10 )
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ (x₁ + x₂ ), (y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
(- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
(6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12 ,10)
on a number line, suppose point E has a coordinate of 3, EG=6, and EX=12. is G the midpoint of EX? what are the possible coordinates for G and X?
Answers
Answer:
could be, isn't necessarilyG = -3 or 9; X = -9 or 15Step-by-step explanation:
If E is 3 and EG is 6, then ...
G = E ± EG = 3 ± 6
G = -3 or 9
If E is 3 and EX is 12, then ...
X = E ± EX = 3 ± 12
X = -9, or 15
__
If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.
That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.
Find the difference between 3/4 and 1/2
Answers
Answer:
¼
Step-by-step explanation:
[tex] \frac{3}{4} - \frac{1}{2} \: \\ lcm = 4[/tex]
[tex] \frac{3}{4} - \frac{1}{2} \\ - - \: \: 3 - 2 - - - \\ 4 \\ \frac{3 - 2}{4} [/tex]
[tex] \frac{1}{4} [/tex]
how do you wirte 15 and 40 in simplest form
Answers
Step-by-step explanation:
15 : 40
Both have table of 5 in common
5 : 8
You divide it with valid numbers that can be dividable with both numerator and denominator.
15/40 can be divided by 5 to make it into the simplest form
= 3/8 , now we can no longer divide it, so its the simplest form
How do you do this problem? See attached image
Answers
Answer:
I think the answer is d
Step-by-step explanation: you have to divide both sides by 6
please mark as brainliest
In ΔDEF, the measure of ∠F=90°, DE = 8.8 feet, and EF = 6.4 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answers
Answer:
46.7 degrees.
Step-by-step explanation:
According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.
We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).
sin(D) = 6.4 / 8.8
sin(D) = 64 / 88
sin(D) = 8 / 11
D = arcsin(8 / 11)
D = arcsin(0.72727272727272727272727273)
D = 46.65824177.
So, the measure of angle D is about 46.7 degrees.
Hope this helps!
For the equation r/4 = 16, select the appropriate property of equality to move the coefficient to the right side of the equation. A. Subtraction Property of Equality B. Addition Property of Equality C. Division Property of Equality D. Multiplication Property of Equality
Answers
Answer: 1:b subtraction property of equality
2:c multiplication property of equality
3:d division property of equality
4: a addition property of equality
5: d the statement is false.the subtraction property of equality should be used first to remove the constant term before dividing
i took the test.
Which has a greater capacity: a bottle containing 32 ounces of iced tea, a bottle containing 1 Liter of iced tea, or a bottle containing 2 pints of iced tea?
2 pints
They are all the same capacity.
32 ounces
1 Liter
Answers
Answer:
1 liter
Step-by-step explanation:
2.11338 pints = 1 liter
33.814 ounces = 1 liter
what is the absolute value to |x|=8
Answers
Answer:
x = 8 or x = -8
Step-by-step explanation:
Answer:
absolute value will always be positive
the answer is x=8
Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x, determine the numerical length of IJ.
Answers
Answer:27
Step-by-step explanation:
The numerical length of IJ is 27 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x.
The total length of the line will be written as below:-
HJ = HI + IJ
4x = x + 2x + 9
4x = 3x + 9
4x - 3x = 9
x = 9
The length of the segment IJ will be:-
IJ = 2x + 9
IJ = ( 2 x 9 ) + 9
IJ = 18 + 9
IJ = 27
Therefore, the numerical length of IJ is 27 units.
To know more about line segments follow
https://brainly.com/question/2437195
#SPJ2
Will give brainliest! Probability
Answers
Answer:
1/49
Step-by-step explanation:
You wrote the problem correctly. You just needed to multiply instead of add.
1/7*1/7=1/49
So the answer is 1/49.
Answer:
1/49
Step-by-step explanation:
1/7 times 1/7 = 1/49
Which graph represents the system of equations? {2x+y=4 −x−3y=3}
Answers
Answer:
this is the answer
I think it is right
A child is hopping along a sidewalk. The ratio below shows the comparison between the number of hops and the distance traveled. Which statement correctly explains how to find the distance traveled after 150 hops?
Answers
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225