Answer:
k= 5 over 3 =1.667
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3)/(2)-((9)/(10)*k)=0
simplify 9/10
3 9
— - (—— • k) = 0
2 10
simplify 3/2
3 9k
— - —— = 0
2 10
Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 10
Least Common Multiple:
10
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 1
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 10
R. Mult. • R. Num. 9k
—————————————————— = ——
L.C.M 10
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (9k) 15 - 9k
———————————— = ———————
10 10
Pull out like factors :
15 - 9k = -3 • (3k - 5)
-3 • (3k - 5)
————————————— = 0
10
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-3•(3k-5)
————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-3 • (3k-5) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : 3k-5 = 0
Add 5 to both sides of the equation :
3k = 5
Divide both sides of the equation by 3:
k = 5/3 = 1.667
one solution was found
k = 5/3 = 1.667
hope it helps sry its so long
For the bake sale, connie baked 144 cookies. Esther bakes 49 more cookies than Connie.
Answer:
it is 198 i beleive
Step-by-step explanation: because there's 144 plus 49 so that makes 198
What is the measure of angle A?
Answer: B. 15 degrees. Hope it helped you :) please mark as brainliest!
A customer was so happy with your service that they wanted to give you a 15% tip on the price of the car. If their car costs $43,780, how much would they pay you in tip?
Answer:
$6,567
Step-by-step explanation:
Multiply $43,780 by .15
Choose the mixed number that is equivalent to this decimal 3.242424...
Answer:
3.24 = 3 6/25
Step-by-step explanation:
- Rewrite the decimal number as a fraction with 1 in the denominator.
- Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100
- Find the Greatest Common Factor (GCF) of 324 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4
- You should end up with that answer..
Triangle A'B'C' is a rotation of triangle ABC by 60 degrees using Q as the center.
Select ALL statements that MUST be true. *
A. Angle ABC is 60 degrees.
B. Angle AQA' is 60 degrees.
C. Points C and C' coincide.
D. Triangles ABC and A'B'C' are congruent.
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
G. Segment BQ is congruent to segment C'Q.
H.Segment AQ is congruent to segment A'Q.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
oranges were on sale for $0.45 per pound. Leo bought 12.6 pounds. which expression shows how to determine the total cost of oranges?
0. 12.6×0.45
0. 12.6-0.45
0. 12.6+0.45
0. 12.6÷0.45
Answer:I believe it is A
Step-by-step explanation:
You would multiply bc it is a decimal
how to make something a subject
Answer:
I dont understand the question?
Step-by-step explanation: your trying to pick a subject??
can this question be solved? 1/2x = 14
Answer:
Simplify 14 x 2 to 28
x=28
I NEED HELP PLEASE HELP
Evaluate y(-4) - 8x when x = 5, y = -1
Answer:
−36
Step-by-step explanation:
In a sale a clothes shop reduces its price by 35% a shirt usually costs $36 how much after the sale?
Answer:
$23.40
Step-by-step explanation:
[tex]36(1 - .35) = 23.40[/tex]
what is the slope of 3,2 -1,2
Answer: m = 0
..........................
0.00105 in scientific notation
Answer:
1.05 × 10^-3
Step-by-step explanation:
The decimal number 0.00105 in scientific notation is [tex]1.05 \times 10^{-3}.[/tex]
Scientific notation is a way to represent numbers that are either very large or very small.
It consists of two parts: the coefficient and the exponent.
The coefficient is a decimal number between 1 and 10, and the exponent indicates the power of 10 by which the coefficient is multiplied.
In the case of 0.00105, we can express it in scientific notation as [tex]1.05 \times 10^{-3}.[/tex]
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PLEASE HELP ASAP!!!!!!!!!! YOU WILL GET BRAINLEST!!!!!!!!!!!!!!!!
The model represents an equation. What value of x makes the equation true?
A) 3/4
B) 9/2
C) −3/4
D) −9/2
Answer:
I am not completely sure I think it is A im not positive but I think
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
On the left, we have 7 -Xs and 7 1s. So, the left can be represented by the expression:
[tex]-7x+7[/tex]
On the right, we have 5 (positive) Xs and 16 1s. So, the right can be represented by the expression:
[tex]5x+16[/tex]
They are equal to each other. So:
[tex]-7x+7=5x+16[/tex]
Solve for x. Add 7x to both sides:
[tex]7=12x+16[/tex]
Subtract 16 from both sides:
[tex]-9=12x[/tex]
Divide both sides by 12:
[tex]x=-9/12[/tex]
Reduce:
[tex]x=-3/4[/tex]
So, our answer is C.
Colleen divided integer a by −2 and got 8. Then she divided 8 by integer b and got −4. Find the quotient of integer a and integer b.
/ = division
a/b =
9514 1404 393
Answer:
8
Step-by-step explanation:
The first division was ...
a/-2 = 8
Multiplying by -2, we have ...
a = (-2)(8) = -16
__
The second division was ...
8/b = -4
Multiplying by b/-4, we have ...
8/-4 = b = -2
__
Then the quotient of interest is ...
a/b = (-16)/(-2)
a/b = 8
I don't know how to explain it
Answer:
Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
Step-by-step explanation:
Answer:
No, Sam was thinking was incorrect
Step-by-step explanation:
Sam's thinkin was incorrect when every time you add and negative to a negative it always become a positive number.
10 - (-6)
10 + 6 = 16
Use the distributive property to rewrite the following expression.
-(x - 3) - 2(-3x - 8)
Pls I need this last question
Answer:
-5x-19
Step-by-step explanation:
-(x-3) - 2(-3x-8)
-x+3 - 6x -16
-5x-19
Find the value of the indicated angel. i’ll give u brainly please help.
Answer:
113 degrees
Step-by-step explanation:
1 mile divided by 2 laps =
There are 4 laps in one mile, therefore, "1 mile divided by 2 laps" = 2.
What is division?Division is the process of dividing a number by a given number.
Given, the statement "1 mile divided by 2 laps".
The statement written in mathematical form is:
(1 mile)/2 laps
There are 4 laps in one mile, therefore, substitute 1 mile = 4 laps into the above equation:
(4 laps)/2 laps
= 2
Hence, "1 mile divided by 2 laps" = 2.
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Which expression is equivalent to 4sin2(x) – 8sin2(StartFraction x Over 2 EndFraction)?
Answer:
A
Step-by-step explanation:
did it on edge
Answer:
A. 4(cos(x)-cos^2(x))
Step-by-step explanation:
Did the quiz on edge
What is the first mistake that was made? - 10x + 14 - 2x = 2( -3x - 2)
-10x + 14 - 2x = -6x - 4
-10x - 2x + 14 = -6x - 4
-12x + 14 = -6x - 4
+6x. +6x
6x + 14 = - 4
- 14 - 14
6x = - 18
6 6x
X = -3
Is the square root of 16.45 a rational number or irrational number?
Answer:
Irrational
Step-by-step explanation:
The square root of 16.45 would be a number that will never end, making it irrational.
Answer:
irrational
Step-by-step explanation:
4.05585995813
does not terminate or repeat
not an integer
The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.
Answer: 70.74
Step-by-step explanation:
A Nonagon has 9 equal sides, and each side of the given is 7.86
So 7.86 multiplied by 9 is 70.74
Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????
Answer:the answer is (-2,1)
Step-by-step explanation:
When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.
If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).
What is a triangle?
It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle ABC is located on a coordinate plane.
Angle C is at (1, 2).
This means that,
Angle C = (1, 2) is in the I Quadrant.
We have four Quadrant:
Quadrant I - The coordinates are in the form of (x, y)
Quadrant II - The coordinates are in the form of (x, -y)
Quadrant III - The coordinates are in the form of (-x, -y)
Quadrant IV - The coordinates are in the form of (-x, y)
If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.
So,
C = (1, 2) will become C = (-1, 2)
Thus,
If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).
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what is the equation of the line that passes through the point(3,-6) and has a slope of 0
Answer:
y = 3 x − 3
Step-by-step explanation:
The equation for slope-intercept form is as follows:
To find c , substitute x = 3 , y= 6 and m = 3 into the equation,6=3 (3 ) + c c= 6 − 9 c = − 3 Since we found m = 3 and c= − 3 , we can form the equation, = 3 x− 3
:D
Answer:
y=-6
Step-by-step explanation:
I got it wrong and told me this was the answer! Im not good with math lol
1. Consider the following system of equations.
x+y=5
2x-y=-2
The solution to the system of equations: (12,7)
Create a third equation that could be added to the system so that the solution does not change.
Answer:
x + 5 = 5
Step-by-step explanation:
Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5
Rachel divided 105 strawberries equally into 7 boxes. How many strawberries will 5 such boxes contain ?
Answer:the answer would be 75
Step-by-step explanation:If you divide 105 by 7 you get 15 which mean there are 15 strawberries per box so just take 15 times 5 to get your answer -hope this helps!
Miguel’s book has 331 pages. Kristen’s book has “n” fewer pages than Miguel’s book. Write an expression to represent the number of pages in Kristen’s book.
Answer:
331-n=x
Step-by-step explanation:
You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?
Answer:
25/102
Step-by-step explanation:
P(red) = 26/52 = 1/2
P(red after red) = 25/51
1/2 * 25/51 = 25/102
Simplify the expression
(7v^2 )(10u^3v^5)(8uv^3)
Answer:
[tex]560v^{10}u^{4}[/tex]
Step-by-step explanation:
Simplify the expression.
