Answers
Answer:
12x + 9 = 4x + 7
Group likely terms
12x - 4x = 7 - 9
8x = -2
Now we need to isolate x
Therefore; Divide both side by the coefficient of x thus 8
Hence x = -1/4
Answer:
[tex]x = \bf -\frac{1}{4}[/tex]
Step-by-step explanation:
We are given the following equation:
[tex]12x + 9 = 4x + 7[/tex]
In order to solve this equation, we have to rearrange it to make [tex]x[/tex] the subject of the equation:
[tex]12x + 9 = 4x + 7[/tex]
⇒ [tex]12x + 9 - 4x = 4x + 7 - 4x[/tex] [Subtracting [tex]4x[/tex] from both sides]
⇒ [tex]8x + 9 = 7[/tex]
⇒ [tex]8x + 9 - 9 = 7 - 9[/tex] [Subtracting 9 from both sides]
⇒ [tex]8x = -2[/tex]
⇒ [tex]\frac{8}{8} x = -\frac{2}{8}[/tex] [Dividing both sides by 8]
⇒ [tex]x = -\frac{2}{8}[/tex]
⇒ [tex]x = \bf -\frac{1}{4}[/tex] [Simplifying the fraction]
Related Questions
On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?
Answers
When the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312
The total number of pastries she sells=584 pastries
The number of pastries left at the end of the day=52 pastries
The total number of pastries she bakes=584+52
=636 pastries
Number of pastries she bakes in the morning=324 pastries
Subtract the number of pastries bakes in the morning from the total number of pastries she bakes
Number of pastries she bakes in the morning=636-324
=312 pastries
Hence, when the Saffron bales 324 pastries in the morning and some in the afternoon, if she sells 584 pastries and at the end of the day she has 52 pastries left, the total number of pastries in the afternoon is 312
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Solve the equation showing ALL steps, and check for extraneous solutions.
2|2 - 4x| = 2x + 6
Answers
ok 2ke9192hehbrhejejjehrge
A electric wire touch the ground it 7m from the foot of the pole. If the length of the wire from the top of the pole to the ground is 25m find the height of pole.......
[tex]...[/tex]
Answers
[tex]\pink{★}[/tex]Height of the pole = BC
[tex]\pink{★}[/tex]Distance from the foot of the pole and the point = AB = 7 m
[tex]\pink{★}[/tex]length of the wire of one side = AC= 25m
[tex]\pink{★} [/tex]∆ ABC is a right angled triangle ∠B = 90°
By Pythagoras theorem :
[tex]\tt{AC^2 = BC^2+ AB^2}[/tex]
[tex]\tt{25^2 = h^2+7^2}[/tex]
[tex]\tt{625 = h^2+49}[/tex]
[tex]\tt{h^2 =625-49}[/tex]
[tex]\tt{h^2 = 576}[/tex]
[tex]\tt{h = \sqrt{576}}[/tex]
[tex]\tt{h= 24m}[/tex]
The height of pole is 24 m .
3,725,000 in scientific notation
Answers
Answer:
3.725 x 10^6 is the scientific notation
Solve the inequality x + 1/2 < -3.
Answers
Answer:
x=2.5
Step-by-step explanation:
Complete the inequality statement. 4/13__ 6/13
Answers
Answer:
4/13 < 6/13
Step-by-step explanation:
= means equal
< means less than
> means greater than
Since 4/13 is less than 6/13 the correct answer is 4/13 < 6/13
The sum of three consecutive odd integers is -3−3. Find the value of the least of the three.
Answers
The value of the least of the three odd numbers is -3
What are consecutive odd numbers?Consecutive odd numbers are odd numbers that have a common difference of 2
How to find the value of the least of the three?The sum of the odd integers is given as
Sum = -3
Let the least of the odd integers be x
So, the other two odd integers are x + 2, x + 4
When these numbers are added, we have
Sum= x + x + 2, x + 4
Evaluate the sum
Sum= 3x + 6
Substitute Sum= 3x + 6 in Sum = -3
3x + 6 = -3
This gives
3x = -9
Divide by 3
x = -3
Hence, the value of the least of the three odd numbers is -3
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Tecto sor frentice Hal
delamah.com
B:ok marks
On eLo gin A Desmos | Graphing.
Solve System of Equations from Context
Sep 21, 5:21:12 AM
Gavin works as a salesperson at an electronics store and sells phones and phone accessories. Gavin earns a $12 commission for every phone he sells and a $3.50 commission for every accessory he sells. On a given day, Gavin made a total of $135 in commission and sold 12 more accessories than phones.
Determine the number of phones sold and the number of accessories sold.
Answers
Answer:
it make do yourself ddhdjsjjsjsjsjsjsjsbsddjaoqbsgbeepoftkjs
august is going to sell some items at a car boot sale. She has a rectangular table which measures 0.45m by 1.8m. The company running the sale want to know the area of the table. What is the area of Augusts table?
Answers
Answer:
0.81m²
Step-by-step explanation:
0.45 × 1.8 = 0.81m²
Beinggreat78's profile pictures are always 10/10
Answers
[tex]3\% = \frac{3}{100} = 0.03[/tex]
Option AAnswer:
A
Step-by-step explanation:
because 3 percent is 3/100 so move the decimal point 2 over to make it 0.03.
I NEED IT RIGHT NOW!!! Maritsa is making a necklace of x wooden beads at 0.60 each and 11 glass beads at $1.55 each. The total cost of the necklace is $21.85. Write an equation to esent this situation.
Answers
0.60x + (1.55 x 11) = 21.85
I'm not sure if this is what you need but its the best response i got :)
000
Cedric lives in an apartment and pays the following expenses each month: electric bill,
$33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for
the month by first rounding each value to the nearest tens place.
O $550
O $590
O $598
O $600
Answers
The total expenses for the month by first rounding each value to the nearest tens place is $598.
How to calculate the expenses?It should be noted that Cedric lives in an apartment and pays the following expenses each month:
electric bill $33.90;
TV streaming service, $24.99; and
Rent, $538.9
Rounding them will be:
electric bill $33.90 = $33.9
TV streaming service, $24.99 = $25.0
Rent, $538.9 = $538.9
Therefore, the total expenses for the month by first rounding each value to the nearest tens place will be:
= $33.9 + $25.0 + $538.9
= $597.8
= $598
Therefore, the total expenses for the month by first rounding each value to the nearest tens place is $598.
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Dave arrives to a meeting 5 minutes early, and he leaves as soon as the meeting ends, 75 minutes after he got there.
Answers
Answer:
The meeting was 70 minutes long
Step-by-step explanation:
x+5=75
subtract 5 from both sides
x=70
piercewill08 is officially on my list of "reliable answers"
Answers
1. 4
2. 15/5
3. 0.5
4. -1/5
5. -1.2
6. -49
As the numbers increase with a negative sign, they also will be lesser because they are negatives and are to the left in representation of a number line.
All work is provided in the attached screenshot! I got you!
Have a great day!
Given the following function equations, state all of the transformations present on the graph of f(x)
4f(x-1)
-f(2x)
f(-x)+2
Answers
Answer:
See explanation
Step-by-step explanation:
f(x) ==> 4f(x-1)
1. f(x) ==> f(x-1) Translate the graph 1 unit to the right
2. f(x-1) ==> 4f(x-1) Vertical stretch by a factor of 4
f(x) ==> -f(2x)
1. f(x) ==> f(2x) Horizontal compression by a factor of 1/2
2. f(2x) ==> -f(2x) Reflection over the x-axis
f(x) ==> f(-x)+2
1. f(x) ==> f(-x) Reflection over the y-axis
2. f(-x) ==> f(-x)+2 Translate the graph 2 units up.
Answer:
1) Translated 1 unit right and stretched vertically by a factor of 4.
2) Compressed horizontally by a factor of ¹/₂ and reflected in the x-axis.
3) Reflected in the y-axis and translated 2 units up.
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of $a$} \\& \textsf{If }a > 1 \textsf{ it is stretched by a factor of $a$}\\& \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of $a$}\end{aligned}[/tex]
[tex]\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of $\dfrac{1}{a}$} \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of $\dfrac{1}{a}$}\\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of $\dfrac{1}{a}$}\end{aligned}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]
Transformation 1Given:
[tex]4f(x-1)[/tex]Transformations
[tex]f(x-1) \implies f(x) \: \textsf{translated}\:1\:\textsf{unit right}[/tex]
[tex]4\:f(x) \implies f(x) \: \textsf{stretched vertically by a factor of}\: 4[/tex]
Transformation 2Given:
[tex]-f(2x)[/tex]
Transformations
[tex]f(2x) \implies f(x) \: \textsf{ compressed horizontally by a factor of $\dfrac{1}{2}$}[/tex]
[tex]-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
Transformation 3Given:
[tex]f(-x)+2[/tex]
Transformations
[tex]f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
[tex]f(x)+2 \implies f(x) \: \textsf{translated}\:2\:\textsf{units up}[/tex]
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11.
15 cm
4/cm
Find the Total Surface area of the cylinder.
Answers
The total surface area of the cylinder is [tex]477.28cm ^2[/tex]
The surface area of a cylinder can be defined as the amount of space covered by the plane of the base of the cylinder and the curved surface of the cylinder. The total area of a cylinder includes the area of his two bases of a circular cylinder and the area of the curved surface. Surface area is expressed in square unitsThe total surface area of a cylinder is the sum of the areas of its circular top and bottom and curved surfaces. T.S.A = face up + face down + C.S.A The total area of a cylinder of radius r and height h is given by [tex]T.S.A = 2 \pi r(r + h)[/tex] ...(1) where [tex]\pi = 3.14[/tex]It is given that radius is 4 cm and height is 15 cm .
Putting r = 4 cm and h = 15 cm in equation (1) , we get
[tex]A=2\pi \times4(4+15)\\A=8\times3.14\times19\\A=477.28cm^2[/tex]
Hence , the area is 477.28
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The complete question is mention below :
What is the total surface area of cylinder with radius 4cm and height 15cm
State whether the percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Original 15, New:45
Answers
Answer:
The percent of change is a percent of increase. The percent of change is 200%.
Step-by-step explanation:
Hope this helps!
Match the following activities to their effect on the general ledger accounts.
Answers
Sort the ensuing actions according to how they affect the general ledger accounts. Drag and drop software.
Allocate overhead costs to jobs
Debit Raw Materials Inventory
Pay factory utilities
Credit Factory Overhead
Purchase indirect material
Debit Factory Overhead
Use indirect materials
Debit Work in Process Inventory
Direct labor used
Credit Raw Materials Inventory
The following actions' effects on the general ledger accounts are matched to them:
1. When you divide up overhead expenses among jobs: Give factory overhead credit.
2. When paying production overhead: debit the factory utilities.
3. When you buy indirectly produced material: Debit the inventory of raw supplies.
4. Using indirect materials results in: Credit the inventory of raw commodities.
5. Direct labor used: Debit Work in Process Inventory.
Explanation:
1. When you divide up overhead expenses among jobs: Give factory overhead credit. Factory overhead is a cost that cannot be directly attributed to the goods but is incurred throughout the manufacturing process of completed goods.
2. When paying production overhead: debit the factory utilities. Factory overhead is defined as a cost incurred during the production of completed goods that is not directly related to the products.
3. When you buy indirectly produced material: Debit the inventory of raw supplies. The cost of all resources, such as component components, that a company has on hand but have not been used in the manufacture of finished items or work in progress is included in the raw materials inventory.
4. Using indirect materials results in: Credit the inventory of raw commodities. The total cost of all resources, like as component components, that a company has on hand but haven't been used to produce finished goods or work in progress is known as raw materials inventory.
5. Debit work in process inventory for direct labor utilized.
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You brake your car from a speed of 55 mph. The table shows data that represent your car's speed versus the amount of time elapsed from the moment that you began to brake.
Elapsed Time (sec)
Speed (mph)
1
45
2
35
3
25
4
15
5
15
6
15
What is the slope of the line segment that represents the period of time during which the speed decreases?
a.The slope is 0. b.The slope is -10. c.The slope is 10. d.The slope is -11.
Answers
The line segment's slope represents the period during which the speed decreases is b. The slope is -10.
What is the line segment's slope?The slope of a line segment measures the steepness of the line segment.
The slope is the ratio of the rise (the change in vertical height, y, between the endpoints) over the run (the difference in horizontal length, x, between the endpoints.
Data and Calculations:Elapsed Time (sec) Speed (mph)
1 45
2 35
3 25
4 15
5 15
6 15
The Slope of the line segment during speed decreases = y₂ - y₁ ÷ x₂ - x₁.
= (35 - 45) / (2 - 1)
= -10/1
= -10
Thus, b. The slope is -10.
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By how many degrees did the temperature change overall?
Answers
Answer:
23
Step-by-step explanation:
because that is the answer I think
Answer:
23degrees
Step-by-step explanation:
Because that is what I think and l haven't learned much but I think it's 23 degrees
What is the property of -2(4+9y)=-8-18y
Answers
Answer: Distributive Property
Step-by-step explanation:
calculate the following 2+2
Answers
Answer:4
Step-by-step explanation:
2+2 is 4
You spend 15 minutes doing homework. You spend 3 hours watching television. Write the ratio of the amount of time spent doing homework to the amount of time
watching tv as a fraction in simplest form
Answers
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
The time spent on doing the homework is 15 minutes.The time spent watching television is 3 hours.To calculate the ratio, we must have the same units for both quantities.We have to convert the time spent watching television from hours to minutes.1 hour is 60 minutes.3 hours has 3*60 minutes.3 hours have 180 minutes.So, the time spent watching television is 180 minutes.The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.We need to simplify the fraction.15/180 is equal to 1/12.Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.To learn more about fractions, visit :
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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y-4=(x-8). What
is the slope-intercept form of the equation for this line?
O y=1/4x-12
Oy=1/4x-4
O y =
O y =
1/4x + 2
1/4x + 6
Answers
The difference between two numbers is 25. The smaller number is th of the larger number. What is the value of the smaller number?
Answers
Answer:
I think the question is incomplete!
Step-by-step explanation:
But the answer might be 5!
Showing each step... simplify the following monomial.
Show Your Work
4ab + 13bc
Answers
Simplfying the monomial 4ab + 13bc we get, b(4a + 13c).
Given: 4ab + 13bc
To find: Solve monomial
When two numbers are multiplied together, the answer is a number that is the sum of the two original numbers. In this case, B is the product of 4a and 13c.
B is common term in both so, we can write it as
4ab + 13bc = b(4a + 13c)
When two algebraic equations are combined, the order of operations (OP) must be followed. This means that the parentheses and Exponents (^, x ^, etc.)
in one equation must be moved to the left side before anything is added or multiplied within those equations. In this case 4ab + 13bc would become b(4a+13c).
Hence, by Simplfying the monomial 4ab + 13bc we get, b(4a + 13c).
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Kevin worked his 40 regular hours last week, plus 4 hours at the time-and-a-half rate. His gross pay was $756. What was his hourly rate?
Answers
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate. He received $756 in gross pay. The hourly rate of Kevin is $126.
Given that,
Kevin put in 40 regular hours last week in addition to 4 hours at the overtime rate.
He received $756 in gross pay.
We have to find the hourly rate of Kevin.
Let h be the hourly rate.
Then
1.5h be the overtime rate.
Reg pay+ Overtime pay=Total pay
40h+4(1.5h)=756
40h+6h=756
46h=756
h=756/40
h=$126
Therefore, the hourly rate of Kevin is $126.
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What is the solution to this inequality?
-2x-3 ≥ 6 or 3(x-4) < -6
OA. * > - 2/1
OB.
Oc. or x > 2
C.
OD.
-/<< 2
x
<2
-
Answers
We get that the solution for this inequalities will be x ≤ - 4.5.
We are given the inequalities:
- 2 x - 3 ≥ 6 or 3 ( x - 4 ) < - 6
For - 2 x - 3 ≥ 6:
Add 3 to both sides:
- 2 x - 3 + 3 ≥ 6 + 3
- 2 x ≥ 9
Divide both sides by - 2
- 2 x / - 2 ≤ 9 / - 2
x ≤ - 4.5
For 3 ( x - 4 ) < - 6:
Divide both sides by 3
x - 4 < - 6
Add 4 to both sides:
x - 4 + 4 < - 6 + 4
x < - 2
We get
x ≤ - 4.5 or x < -2
x will then be:
x ≤ - 4.5
Therefore, we get that the solution for this inequalities will be x ≤ - 4.5.
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Diana ran 300 yards in 65 seconds. Then she ran 300 yards in 55 seconds.
How much faster was Diana's second time
Answers
Diana's second time was faster by 0.84 yards.
How to calculate the speed?Th speed of the first race will be:
= Distance / Time
= 300 / 65
= 4.62 yards per second
The speed of the second race will be:
= 300 / 55
= 5.46 yard per second.
The difference will be:
= 5.46 - 4.62
= 0.84 yards
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Can anyone help me to solve this?
Answers
Answer:
f(1/x) = (7x+3)/(2x+6)
g(x-2) = √(x² -13x +22)
Step-by-step explanation:
Given equations for f(x) and g(x), you want to find simplified equations for f(1/x) and g(x-2).
F(1/x)Substituting the argument for the variable, we have ...
[tex]f\left(\dfrac{1}{x}\right)=\dfrac{3\cdot\dfrac{1}{x}+7}{6\cdot\dfrac{1}{x}+2}\\\\\boxed{f\left(\dfrac{1}{x}\right)=\dfrac{7x+3}{2x+6}}[/tex]
G(x-2)Substituting the argument for the variable, we have ...
[tex]g(x-2)=\sqrt{(x-2)^2-9(x-2)}=\sqrt{x^2-4x+4-9x+18}\\\\\boxed{g(x-2)=\sqrt{x^2-13x+22}}[/tex]