Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] \frac{3x}{x - 2} = 7 \\ [/tex]
Multiply sides by ( x - 2 )
[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]
Simplification
[tex]3x = 7x - 14[/tex]
Subtract sides 7x
[tex] - 7x + 3x = - 7x + 7x - 14[/tex]
Simplification
[tex] - 4x = - 14[/tex]
Negatives simpliflies
[tex]4x = 14[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]
[tex]x = \frac{7}{2} \\ [/tex]
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Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )
3x = 7(x - 2) ← distribute
3x = 7x - 14 ( subtract 3x from both sides )
0 = 4x - 14 ( add 14 to both sides )
14 = 4x ( divide both sides by 4 )
[tex]\frac{14}{4}[/tex] = x , that is
x = [tex]\frac{7}{2}[/tex]
Related Questions
You are constructing a line perpendicular to line y through point X, which is not on line y. Which of the following is not a necessary step?
A. Draw an arc with center Q and radius XQ. Label the intersection of this arc and line y as point C. Draw line XC .
B. Draw two arcs of the same radius using A as a center and B as a center. Label the intersection of these two arcs as Q .
C. Place a compass at point X and draw an arc that intersects the line twice. Label the intersections A and B.
D. Draw line XQ .
Answers
Answer:Ur answer is C
Rewrite each linear equation in standard form. Then, state the values for A, B, and C.
0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______
Answers
Answer:
A = 9/100
B = -[1/100]
C = -[39/100]
Step-by-step explanation:
Given:
0.09x - 0.01y = 0.39
Find:
A,B,C
Computation:
Linear equation;
Ax + By + C = 0
So,
0.09x - 0.01y = 0.39
9x/100 - 1y/100 = 39/100
9x/100 - 1y/100 - 39/100= 0
So,
A = 9/100
B = -[1/100]
C = -[39/100]
Find the equation of the line.
Use exact numbers.
Answers
Answer:
y=-3/2x+3
Good luck:)
6th grade math i mark as brainliest
Answers
Answer:
3x5 are factors of 75
Step-by-step explanation:
good day mate
Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.
Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
mark as the brainliest
2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.
Answers
Answer:
The two expressions are;
4(3x + 5)
and
(6x + 10) + (6x + 10)
Step-by-step explanation:
Here, we want to write two different expressions to represent the perimeter of the square
The perimeter is given as 12x + 20
Using factoring, we can have this as;
4(3x + 5)
Otherwise, we can have
(6x + 10) + (6x + 10)
Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100
Answers
Answer:
uhh
Step-by-step explanation:
a5b10
ab3
How do I simplify a s express using exponents
Answers
If ABC is congruent to DBE find x
Answers
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees
X=44 degrees
Explanation:I just did that in one of my questions in my work and I got it correct.
IGOOD LUCK AND HOPE U GET IT CORRECT ALSO :)
Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answers
Answer:
15:20=3:4
Step-by-step explanation:
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?
Answers
Answer:
Average rate of change from day 2 to day 5 is $43.33/day.
Step-by-step explanation:
Sales on day 2 = 200
Sales on day 5 = 330
Rate of change = [tex]\frac{330-200}{5-2} =\frac{130}{3}=43.33[/tex]
1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)
Answers
Answer:
a) $3000
b) $1500
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
b)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 2
interest = 1500
you save $1500 if you pay after 2 years
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answers
Answer:
12
Step-by-step explanation:
Answer this question plz
Answers
The measure of angle EDF from the given figure is 23°.
From the given figure, ∠EGF=23°.
What is and angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
By using angles in the same segment theorem, we get
∠EGF = ∠EDF = 23°
Therefore, the measure of angle EDF from the given figure is 23°.
To learn more about the circle theorems visit:
https://brainly.com/question/19906313.
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Function f is defined by the equation f (x) = x^2.
What is f (3)
PLZ HURRY
Answers
Answer:
f(3) = 9
Step-by-step explanation:
f(x) = x^2
f(3) means "When x is 3" So, we substitute x with 3.
f(3) = 3^2
f(3) = 3 x 3 = 9
f(3) = 9
Suppose that f(x)=3x+1....
Answers
Answer:
3
Step-by-step explanation:
f(x) = 3x+1
f(x+h) = 3(x+h)+1 = 3x+3h+1
f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h
3h/h=3
Write the recurring decimal 0.63as a fraction
Answers
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
50,000 * 60%= 30,000
If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,
We have to find the amount Sandy has to spend on expenses,
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
The amount spend on the expenses is,
Expenses = 60% of the salary
Expenses =60/100 × $50000
Expenses = 30,000
Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.
Learn more about the percentage here:
brainly.com/question/8011401
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ANSWER THIS QUESTION IF YOUR GOOD AT MATH ↓
Answers
Answer:
It's C, g(x) = (1/2)^x
This is a horizontal reflection of y = 2^x
across the y axis.
Step-by-step explanation:
Using the process of elimination, you can spot this answer by applying what is logical about the transformations of an exponential function.
The transformations of a standard exponential function can be given by:
ab^(1/c(x-h))+k
First note that A must be incorrect because -2^x would be a reflection across the x axis which would not match the function g because a reflection across the x axis would cause the exponential growth or decay value b to become a reciprocal and -2 is not a reciprocal of 2.
what is the answer for (8x - 5)
Answers
Answer:
-40 i think
Step-by-step explanation:
Answer:
8x-5
Step-by-step explanation:
This equation can't be further simplified.
Carol Ate 25% of the candies in the bag iF Carroll ate 24 Candies how many candies were there total in the bag
Answers
Answer:
96
Step-by-step explanation:
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answers
Answer:
7u, U times 7, and 3u + 4u.
Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }
Answers
Given:
The set of points.
To find:
Which set of points represents a function?
Solution:
A set of points represents a function if there exist a unique y-value for each x-value.
It option A, the set of points is
{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}
This is not a function because there exist two y-values y=-5 and y=-2 for x=3.
It option B, the set of points is
{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}
This is a function because there exist a unique y-value for each x-value.
It option C, the set of points is
{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}
This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.
It option D, the set of points is
{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}
This is not a function because there exist two y-values y=-1 and y=1 for x=-3.
Therefore, the correct option is B.
Answer:
problem ...
Which of the following sets represents a function?
{(3, 5), (-1, 7), (3, 9)
{(1, 2), (3, 2), (5, 7)}
{(1, 2), (1, 4), (1, 6)}
Step-by-step explanation:i think is
{(1, 2), (3, 2), (5, 7)}
The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200
plz help
Answers
Answer: A,F
Step-by-step explanation:
In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.
Answers
Answer:
The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
Step-by-step explanation:
According to the diagram, we get the following facts:
i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).
ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])
iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])
iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])
From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].
Determine whether AB and CD are parallel, perpendicular,
or neither.
A (12,3), B(-3,9), C (-6,4), D (-2,-6)
Answers
Answer:
Step-by-step explanation:
we can find the equations for both lines and analyze after
[tex]y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]
AB:
[tex](12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}[/tex]
[tex]y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}[/tex]
CD:
[tex](-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11[/tex]
Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.
ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate
Answers
Answer:
he would walk 1 mile in 2 hours
Step-by-step explanation:
which is very slow tbh
What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answers
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
solve this equation
-54= 6(x-6)
Answers
Answer:
x = -3
Step-by-step explanation:
[tex]-54= 6(x-6)\\\\-9=x-6\\\\x=-3[/tex]
Answer:
x=-3
Step-by-step explanation:
-54= 6(x-6)
switch sides = 6(x-6)=-54
divide both sides by 6 =x-6=-9
add 6 to both sides = x=-3
x=-3
Stephanie spent half of her weekly
allowance playing arcade games. To earn
more money her parents let her clean the
oven for $7. What is her weekly
allowance if she ended with $12?
Pls give me an equation and your work
Answers
Answer:
5
Step-by-step explanation:
just do 12 minus 7 and you get 5
The points in the table lie on a line. Find the slope of the line.
Х
6
--2
2.
6
y
8
5
2
1
Answers
Answer:
[tex] Slope (m) = -\frac{3}{4} [/tex]
Step-by-step explanation:
Using any two pairs from the table of values given, (-2, 5) and (2, 2):
[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Where,
[tex] (-2, 5) = (x_1, y_1) [/tex]
[tex] (2, 2) = (x_2, y_2) [/tex]
Plug in the value into the slope formula:
[tex] Slope (m) = \frac{2 - 5}{2 -(-2)} [/tex]
[tex] Slope (m) = -\frac{3}{4} [/tex]