15a - 20ab
Here, '5' & 'a' are the common factors. So factor them out.
=》15a - 20ab
=》5a (3 - 4b)
Myra incorrectly put 'a' inside the bracket which is wrong because 'a' is a common factor too along with 5.
_____
RainbowSalt2222 ☔
In ANOP, NP is extended through point P to point Q, m_OPQ = (9x – 19)°,
mZPNO = (2x + 5), and mZNOP = (3x + 16º. Find mZNOP.
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
The retail price of a television set is $4500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50. Determine the cash price.
4050 is the cash price of the television set whose retail price is $4500
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that the retail price of a television set is $4500
If the buyer pays cash, the price is 10% below the retail price
If the set is bought on hire purchase, the buyer pays a down payment of $675 and 24 monthly instalments of $212.50
we need to find the cash price.
We need to find the 10% of 4500:
Convert 10% to decimal form
10/100=0.1
Now multiply 0.1 with 4500
0.1×4500=450
Substract the 10% to the retail price:
4500-450=4050
Hence, 4050 is the cash price of the television set whose retail price is $4500
To learn more on Percentage click:
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Question 3 (Mandatory) (10 points)
Simplify
(2/3a - 5) - (1/3a + 3)
*Please show your work so I can’t understand better thank you*
Answer:
1/3a - 8
Step-by-step explanation:
Distribute negative sign:
2/3a - 5 + -1 (1/3a + 3)
2/3a + -5 + -1 (1/3a) + (-1)(3)
2/3a + -5 + -1/3a + -3
Combine like terms:
2/3a + -5 + -1/3a + -3
(2/3a + -1/3a) + (-5 + -3)
= 1/3a - 8
The population of a town increases every year by 2% of the population
beginning of that year. The number of years by which the total increase of
population be 40% is
Answer:
Step-by-step explanation:
A = Pe^rt
A = 1.4P
r = 0.02
t = ?
e^0.02t = 1.4
ln both sides
0.02t = ln(1.4)
t = ln(1.4)/0.02
t ~ 16.8 years
Explain how to determine whether the difference of two numbers is less than or greater than the first number.
Answer:
To determine if the difference of two numbers is less or greater than the first number, check the value of the first number, and the value of the second number.
(greater) - (lesser) = (positive)
(lesser) - (greater) = (negative)
(neg lesser) - (neg greater) = (positive)
(neg greater) - (neg lesser) = (negative)
For Example:
10 - 5 = 5
5 - 10 = -5
(-5) - (-10) = 5
(-10) - (-5) = -5
Please correct me if I’m wrong, I may have misunderstood the question.
d−21.4=87.9
il will give you brainlyest if you show your work
Answer:
d = 109.3
87.9 + 21.4 = 109.3
109.3 - 21.4 = 87.9
Answer:
d-21.4=87.9
Step-by-step explanation:
d=87.9+21.4
d=109.3
d=109.3/1
=109.3
Find the equation of a parabola in vertex form with given vertex and point.
Vertex (0,1) and passing through (-1,0)
keeping in mind that we could have a horizontally opening parabola or a vertically opening one using those values, let's use the vertical parabola type for the equation
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(0,1)}\\\\ \stackrel{"a"~is~negative}{o pens~\cap}\qquad \stackrel{"a"~is~positive}{o pens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]y=a(x-0)^2+1\implies y=ax^2+1\qquad \textit{we also know that when} \begin{cases} x = -1\\ y = 0 \end{cases} \\\\\\ 0 = a(-1)^2+1\implies 0=a+1\implies \boxed{-1=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-x^2+1\implies \stackrel{\textit{vertex form}}{y = -(x-0)^2+1}~\hfill[/tex]
Use the digits nine, six and three one time each in the following Multi digit division problem then rewrite the problem
The number in the problem whose result is 40, will be 3,600 and 90.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
Use the digits nine, six, and three one time each in the following Multi-digit division problem then rewrite the problem.
Then the problem whose result is 40 will be given as the division of 3600 by 90.
3,600 / 90 = 40
The number in the problem whose result is 40, will be 3,600 and 90.
More about the Algebra link is given below.
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Solve the following inequality
For the function: f(x) = 3x^2– 4x – 8, find and simplify
A. f(x) - f(a) divided by x-a
b.f(x +h) - f(x) all divided by H
Answer:
Step-by-step explanation:
A) (f(x) - f(a)) / (x - a)
(3x²– 4x – 8 - (3a² – 4a – 8)) / (x - a)
(3x²– 4x – 8 - 3a² + 4a + 8) / (x - a)
(3(x² - a²) – 4(x - a)) / (x - a)
(3(x - a)(x + a) – 4(x - a)) / (x - a)
3(x + a) - 4
B) (f(x + h) - f(x)) / h
(3(x + h)² - 4(x + h) - 8 - (3x² - 4x - 8)) / h
(3(x² + 2xh + h²) - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4x - 4h - 8 - 3x² + 4x + 8) / h
(3x² + 6xh + 3h² - 4h - 8 - 3x² + 8) / h
(3x² + 6xh + 3h² - 4h - 3x² ) / h
( 6xh + 3h² - 4h ) / h
(6xh + 3h² - 4h) / h
6x + 3h - 4
1. A local charity is collecting food for the winter. They have asked 150
families to donate 5 cans of food. If 80% of the families donate 5 cans of
food, how many cans should the charity collect? *
The charity should collect 600 cans of food
Number of families that the charity asked to donate food = 150
80% of the families donated 5 cans of food
Number of families that actually donated 5 cans of food = (80/100) x 150
Number of families that actually donated 5 cans of food = 0.8 x 150
Number of families that actually donated 5 cans of food = 120
Number of cans donated by each family = 5
Number of cans donated by 120 families = 5 x 120
Number of cans donated by 120 families = 600
The charity should collect 600 cans of food
Learn more here: https://brainly.com/question/25458888
Shown below are the scatter plots for four data sets.
Answer the questions that follow.
If s = 36, what is the value of 2−s? −38 - 38 −34 - 34 34 34 38
Answer:
-34
Step-by-step explanation:
Substitute the value for the variable and evaluate.
[tex]2-s\\\\2-(36)\\\\2-36\\\\-34[/tex]
Answer:
38
Step-by-step explanation:
Madison’s dad use a hose to fill an infltable pool in the back yard
What is the square root of 121?
Answer:
11
Step-by-step explanation:
A square root is any number that is multiplies by itself to get a number.
11*11=121
Hope this helps! Plz give brainiest!
Solve the following system of equations graphically. Click on the graph until the correct solution of the system appears.
y = -3
x - y = 8
Putting y=-3 in second equation
[tex]\\ \sf\longmapsto x-(-3)=8[/tex]
[tex]\\ \sf\longmapsto x+3=8[/tex]
[tex]\\ \sf\longmapsto x=8-3[/tex]
[tex]\\ \sf\longmapsto x=5[/tex]
(x,y)=(5,-3)When I am trying to find the whole of the percent and divide it what do I do with the remainder? Like do I put it together with the answer and go on or multiply them together ?
The problem I’m solving is [What number is 70% of 279]
And I divided them too and I got 39 and 3 reminder. Please scallion and help me with this problem in order to get marked
Answer:
a. 9.48
b. 195.3
Step-by-step explanation:
convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number
Pls answer my questions on this pic here
(must include the math work)
i will give brainlist for the most helpful answer
Answer:
252, 1 1/4, 308, 1 1/2
Step-by-step explanation:
5. The kitchen is 2 1/4 in by 1 3/4 in. 2 1/4in = 9/4in = 18ft. 1 3/4in = 7/4in = 14ft.
So we have 18ft by 14ft. The area is one side multiplied by the other side:
18 × 14 = 252ft^2.
6. 10/2 = 5. 5/4 in = 1 1/4in.
7. Bedroom 2 is 1 3/4in by 2 3/4in. 1 3/4in = 7/4in = 14ft. 2 3/4in = 11/4in = 22ft.
14ft × 22ft = 308ft^2 of carpet.
8. 12ft/2 = 6. 6/4 = 1 2/4 = 1 1/2 in.
Hope that helps!
__________
[tex] \: [/tex]
Answer in the picture.
Compare your response to the sample response above. What did you include in your explanation?
a reference to the horizontal-line test
a statement that the function is one-to-one
the conclusion that the inverse is a function
Answer:
mention the square root property?
Step-by-step explanation:
What is the equation of the blue line?
9514 1404 393
Answer:
y = 2
Step-by-step explanation:
A horizontal line has the equation ...
y = constant
The constant can be found by counting grid squares or reading the label on the y-axis where the line crosses.
The equation of the blue line is y = 2.
10 +4m when m = -2
i really need help on this lol
please hurry thank you so much
Answer:
%4, 67 ,-09
Step-by-step explanation:
The Vinaya Pitaka is a sacred text of
Given w =StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) and z = 2 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction) ) , what is w – z expressed in polar form?
StartRoot 2 EndRoot (cosine (StartFRaction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 3 pi Over 4 EndFraction) + I sine (StartFraction 3 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 5 pi Over 4 EndFraction) + I sine (StartFraction 5 pi Over 4 EndFraction) )
StartRoot 2 EndRoot (cosine (StartFraction 7 pi Over 4 EndFraction) + I sine (StartFraction 7 pi Over 4 EndFraction) )Solve the following triangle using the Law of Sines.
(9 points)
Answer:
d) √2∠(7π/4)
Step-by-step explanation:
Sometimes the expression A(cos(α)+i·sin(α)) is written as A·cis(α). I prefer the notation A∠α, because it is more compact.
You are given ...
w = √2∠(π/4)
z = 2∠(π/2)
And you are asked to find the difference w-z in polar form.
__
In rectangular form, ...
w = √2∠(π/4) = √2(1/√2 +i/√2) = 1 +i
z = 2∠(π/2) = 2(0 +i·1) = 2i
Then the difference is ...
w -z = (1 +i) -(2i) = 1 -i
You may notice this is the conjugate of w, so will have the opposite angle:
w - z = w* = √2∠(-π/4) = √2∠(7π/4)
In the terms used by the problem statement, ...
w -z = √2(cos(7π/4) +i·sin(7π/4)) . . . . matches choice D
Please help me, I'm on a test
Sara bought one bunch of lettuce for $1.60. How many bunches can she get if she has $24?
Answer:
38.40
Step-by-step explanation:
If you multiply 1.60 by 24 it will get you 38.40
Answer:
15 bunches
Step-by-step explanation:
So if each bunch of lettuce costs $1.60, you can divide that by 24, which is the amount of money you have, to get 15 bunches.
[tex]\frac{1.60}{24}[/tex] = 15
Please help correct answer gets brainliest
Answer:
If he will get a simple interest of 40 dollars in 4 years, (if he doesn't spend anything) the answer for annual rate is 10 dollars.
Explanation: Divide 40 by 4=10
Annual means a year.
Just divide the amount of money by the amount of years. And bingo!
What is your walking rate in steps per minute?
Answer:
100 steps per minute
Step-by-step explanation:
Answer:100 steps per minute
Step-by-step explanation:
What are the measures of Angles a, b, and c?
Show your work and explain your answers.
Answer:
∡a has a vertical angle sibling of 40°, and vertical angles are always congruent.
∡b is the 3rd angle in a triangle, the other two are 40° and 90°, recall all interior angles in a triangle add up to 180°.
∡c is a linear angle, namely an angle on the same flat-line as another, and linear angles always add up to 180°.
Step-by-step explanation:
Given the graph of two linear equations, describe how to determine the solution.
How could the solution be verified?
(That’s how the question looks like And I WILL give brainliest to whoever is correct)
Answer:
The solution is the point of intersection of the lines on the graph. Then, substitute the x and y values into both equations to see if they produce two true statements.
Step-by-step explanation:
I got it right Edge 2021. Use "Wordtune Editor" and click "Rewrite" so it's not plagerism.
Answer:
Sample Response: The solution is the point of intersection between the lines on the graph. Identify this point and substitute the x and y values into both equations to see whether they produce two true statements.Step-by-step explanation:
Will give brainliest answer
Answer:
I believe it's A)
Step-by-step explanation:
The difference between two numbers is 33 and the
ratio between them is 5 : 2. Find the numbers.
Answer:
55 and 22
Step-by-step explanation:
first let the numbers be x
5x-2x=33
3x=33
x=11
3(11)=33
5(11)=55
brainlist answer please
