Answers
Initial fraction: (20 * a^2 * b) / ( 5 * a * b^2) = (20 / 5) * (a^2 / a) * (b / b^2)
Result: (4*a) / (b) = (4*a) / (1*b) = (4/1) * (a/b)
As you can see the result is a fully simplifying form so just simplify any thing you can from initial fraction
20/5 = 4/1 (both nume and deno are divided by 5)
a^2 / a = a/1 (divided by a)
b / b^2 = 1/b (divided by b)
Multiply all above we get the result 4a/b (just for checking whether we did right or not)
Next, multiply all that we have divided in previous step: 5*a*b = 5ab
=> problem solved
Related Questions
-8x - (3x + 6 ) = 4 - x
Answers
Answer:
-1
Step-by-step explanation:
Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.
The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.
What is the solution to the equation?Given the equation in the question:
-8x - (3x + 6 ) = 4 - x
To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:
-8x - (3x + 6 ) = 4 - x
Distribute the negative sign inside the parentheses:
-8x - 3x - 6 = 4 - x
Combine like terms on both sides of the equation:
-11x - 6 = 4 - x
Add 6 to both sides:
-11x - 6 + 6 = 4 + 6 - x
-11x = 4 + 6 - x
-11x = 10 - x
Next, add x to both sides:
-11x + x = 10 - x + x
-10x = 10
Divide both sides of the equation by -10:
x = -10/10
x = -1
Therefore, the value of x is -1.
Learn more about equations here: brainly.com/question/14686792
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LENGTH OF ARCS. URGENT.
Answers
Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.
evaluate each expression below
Answers
Answer:
see below
Step-by-step explanation:
0/7 = 0
We can divide 0 by a non zero number
5/0 = undefined
We cannot divide by 0
Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!
Answers
To get a before point, start at the given point (6,3). Move along the x axis backwards four, and down 1. (2,2)
plss helppp!!
pls show how is it done
solve the equation :
x³ = 3x² + 3x - 1
Answers
Answer:
x³ = 3x² + 3x - 1x³- 3x² - 3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3Please teach me these question step by step. Thank you
Answers
Answer:
a. 499
Step-by-step explanation:
a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.
the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.
A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!
Answers
minus/negative ten dollars.
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If l || m, classify the marked angle pair and give their relationship, then solve for x.
Answers
Answer:
14. x=16, 15. x=9
Step-by-step explanation:
14.
4x+4=7x-44 by alternate exterior angles
3x=48
x=16
15.
15x-26=12x+1 by alternate exterior angles
3x=27
x=9
Which of the following rules describes the function graphed below?
Answers
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
What is the factored form of the expression 3x^2 + 6x – 24
Answers
Answer:
(3)(x + 4)(x-2)
Step-by-step explanation:
3x^2 + 6x – 24
3(x^2 + 2x - 8)
(3)(x + 4)(x-2)
Answer:
3(x - 2)(x + 4).
Step-by-step explanation:
3x^2 + 6x – 24
= 3(x^2 + 2x - 8)
= 3(x - 2)(x + 4).
What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.
Answers
Answer:
C. –2
Step-by-step explanation:
The slope is equal to the number multiplying the x
Answer:
C
Step-by-step explanation:
Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2
factorise [tex]x^{2} + 11x[/tex]
Answers
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
help ASAP!!!
bensnsnana
Answers
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
I need help ASAP!!Please explain how to do the problem
Answers
Answer:
[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]
Step-by-step explanation:
Answer ASAP
Given that the point X(3, -2) is rotated 90° counterclockwise about the point (-1, 4).
What are the coordinates of X', the image of X? (1 point) *
1) X'(5,8)
2) X'(-7, 8)
3) X'(4,1)
4) X'(-2, -3)
Answers
Answer:
4) x -2,-3 hope it helps to you
Z= a/m, for a
It a literal equation
Answers
Answer:
a = zm
Step-by-step explanation:
z = a/m for a
Multiply all sides by m
zm = a or a = zm
Example:
2 = 6/3
in this case, z = 2, a = 6, and m = 3
We would multiply z(2) and m(3) to get a(6)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
How much of a circle does a 100-degree angle turn through?
A.1
B.100/180
C.50/360
D.100/360
Answers
Answer:
100/360
Step-by-step explanation:
A circle is 360 degrees
100/360
10/36
5/18
What number must be subtracted from 25 for the
difference to be 22? Explain your answer. Include a
number line in your explanation.
Answers
Answer: 3
Step-by-step explanation:
When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.
A scholar started with 3 and then subtracted a number which resulted in a
positive difference. What must be true about the number that was subtracted
Use examples to prove your answer.
Answers
Answer:
The number has to be less than 3.
Step-by-step explanation:
Some examples:
3 - (-5) = 3 + 5 = 8, a positive difference
3 - 0 = 3, a positive difference
3 - 1 = 2, a positive difference
3 - 3 = 0, NOT a positive difference. 3 is where the difference switches from positive to negative.
3 - 4 = -1, NOT a positive difference.
Does anyone know how to find these measures. Pls it’s due in a few hrs
Answers
Answer:
17) 120°
18) 85°
Step-by-step explanation:
→ Find the sum of angles in each shape
Quadrilateral = 360°
Triangle = 180°
→ Add the angles together and subtract it from the sum
360 - ( 80 + 80 + 80 ) = 120° for number 17
180 - ( 35 + 60 ) = 85° for number 18
(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12
Answers
Answer: $10.20
Step-by-step explanation:
convert the percentage to a decimal: 0.15
multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80
subtract the discount from the original price: $10.20
Answer:
$9
Step-by-step explanation:
reduced price=15%*$12
= 15/100*$12
= $3
Sale price=original price - reduced Price
=$12-$3
=$9
Refer to picture
Need help on Q.8
Answers
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
please help me to solve this
Answers
Answer:
Step-by-step explanation:
a) 3x^2
b) (512)^-2/3=2^n
1/64=2^n
n=-6
If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35
Answers
Answer:
$30
Step-by-step explanation:
Let the ratios be 6x and 7x
Then 65 = 6x + 7x
65 = 13x
x = 65/13
x=5
6x = 6 x 5 = $30
7x = 7 x 5 = $35
Answer From Gauth Math
10 = z + 6 (show work)
Answers
Answer:
4
Step-by-step explanation:
10=z+6
or, z+6=10
or, z=10-6
or,z=4
May this help you
Max A = 15 - x^2 - x
Answers
Answer:
not exactly sure what the question is but
if it is "what is the max that 15 - x^2 - x can be
then 2x-1 = 0 solves that
x = 1/2
Step-by-step explanation:
Imagine you have a job where you earn $700 each week after taxes. Your monthly living expenses include $725 for rent, $125 for utilities, $120 for cable/internet, $35 for cellphone, and $48 for bus fare. You also have $1,100 in credit card debt that requires a minimum monthly payment of $78. You have also been keeping track of your expenses for several months by writing down everything you purchase. You found that you spend around $600 on groceries and $225 on dining out and entertainment. What is your monthly income?
Answers
The monthly income is $844.
Given:
Weekly earning after taxes is $700Monthly rent is $725Monthly expense for utilities is $125Monthly expense for cable/internet is $120Monthly expense for cellphone is $35Monthly expense for bus fare is $48Minimum monthly payment of credit card debt is $78Monthly expense for groceries is $600Monthly expense for dining out and entertainment is $225To find: The monthly income
The monthly income refers to the amount of money left over each month after paying all expenses.
Evaluating, we have,
The total monthly expense = $([tex]725 + 125 + 120 + 35 + 48 + 78 + 600 + 225[/tex])
That is, the total monthly expense is $1956.
It is given that weekly earning after taxes is $700. Since a month contains 4 weeks, we can say that monthly earning after taxes is $([tex]700 \times 4[/tex]), that is, $2800.
Then, monthly income is given by the difference between the monthly earnings and the monthly expenses. So, monthly income is $([tex]2800-1956[/tex]), that is, $844.
The monthly income is $844.
Learn more about income and expenses here:
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What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w
Answers
Answer:
8
Step-by-step explanation:
more details
2(10)-3(4)
20-12
8
Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).
Answers
Answer:
-3
Step-by-step explanation:
for this function you have to replace -1 were there's x in the function h(x)=2x-1
h(-1)=2(-1)-1
=-2-1
=-3
hope this helps
What is the slope of the line?
Answers
The slope can be found between two points by finding the change in values divided by the change in values.
