[tex]\dfrac{\dfrac{1}{p-2}}{\dfrac{4p^2}{p^2+p-6}}=\\\\\\\dfrac{1}{p-2}\cdot\dfrac{p^2+p-6}{4p^2}=\\\\\dfrac{1}{p-2}\cdot\dfrac{p^2+3p-2p-6}{4p^2}=\\\\\dfrac{1}{p-2}\cdot\dfrac{p(p+3)-2(p+3)}{4p^2}=\\\\\dfrac{1}{p-2}\cdot\dfrac{(p-2)(p+3)}{4p^2}=\\\\\dfrac{p+3}{4p^2}[/tex]
--------------------------------------------------------------------
[tex]\dfrac{6n}{3n+2}-\dfrac{2}{2n-2}=\\\\\dfrac{6n(2n-2)}{(3n+2)(2n-2)}-\dfrac{2(3n+2)}{(3n+2)(2n-2)}=\\\\\dfrac{12n^2-12n-(6n+4)}{6n^2-6n+4n-4}=\\\\\dfrac{12n^2-12n-6n-4}{6n^2-2n-4}=\\\\\dfrac{12n^2-18n-4}{6n^2-2n-4}=\\\\\dfrac{2(6n^2-9n-2)}{2(3n^2-n-2)}=\\\\\dfrac{6n^2-9n-2}{3n^2-n-2}[/tex]
----------------------------------------------------------------------
[tex]\dfrac{2x}{3x^2+18x}+\dfrac{3}{2}=\\\\\dfrac{2}{3x+18}+\dfrac{3}{2}=\\\\\dfrac{2\cdot2}{2(3x+18)}+\dfrac{3(3x+18)}{2(3x+18)}=\\\\\dfrac{4+9x+54}{6x+36}=\\\\\dfrac{9x+58}{6x+36}[/tex]
Answer:
p^3−10p^2+1
—————— We find roots of zeros F(p) = p^3 - 10p^2 + 1 and see there
p^2 are no rational roots
Step-by-step explanation:
p^2
Simplify ——
p^2
1.1 Canceling out p^2 as it appears on both sides of the fraction line
Equation at the end of step 1
:1
((————-(4•1))+p)-6
(p^2)
STEP 2: working left to right
1
Simplify ——
p^2
Equation at the end of step 2:
1 /p^2 ((—— - 4) + p) - 6
STEP 3:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using p^2 as the denominator :
4 4 • p^2
4 = — = ——————
1 p^2
Equivalent fraction
: The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 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:
1 - (4 • p^2) 1 - 4p^2
———————————— = ———————
p^2 p^2
Equation at the end of step 3:
(1 - 4p^2)
(————————— + p) - 6
p^2
STEP 4:
Rewriting the whole as an Equivalent Fraction
4.1 Adding a whole to a fraction
Rewrite the whole as a fraction using p2 as the denominator :
p p • p^2
p = — = ——————
1 p^2
Trying to factor as a Difference of Squares:
4.2 Factoring: 1 - 4p^2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check : 4 is the square of 2
Check : p^2 is the square of p^1
Factorization is : (1 + 2p) • (1 - 2p)
Adding fractions that have a common denominator :
4.3 Adding up the two equivalent fractions
(2p+1) • (1-2p) + p • p^2 p^3 - 4p^2 + 1
———————————————————————— = ————————————
p^2 p^2
Equation at the end of step
4:
(p^3 - 4p^2 + 1)
—————————————— - 6
p^2
STEP 5:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using p^2 as the denominator :
6 6 • p^2
6 = — = ——————
1 p^2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(p) = p^3 - 4p^2 + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of p for which F(p)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers p which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -4.00
1 1 1.00 -2.00
Polynomial Roots Calculator found no rational roots
Adding fractions that have a common denominator :
5.3 Adding up the two equivalent fractions
(p3-4p2+1) - (6 • p2) p3 - 10p2 + 1
————————————————————— = —————————————
p2 p2
Polynomial Roots Calculator :
5.4 Find roots (zeroes) of : F(p) = p3 - 10p2 + 1
See theory in step 5.2
In this case, the Leading Coefficient is 1 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -10.00
1 1 1.00 -8.00
Polynomial Roots Calculator found no rational roots
Final result :
p3 - 10p2 + 1
—————————————
p2
help me with these thanks
You move down 3 units and up 3 units. You end at (-3, 4). Where did you start?
Answer: You started at (-3, 4)
Step-by-step explanation:
If you started at (-3, 4) and moved down 3 units, you would be at (-6, 4). If you moved back up 3 units, you would be at your original starting point (-3, 4).
Answer:
Step-by-step explanation:
All motion here is up and down, so the x-coordinate does not change.
Work backwards to answer this question:
(-3, 4), and down three units, and then up three, puts you where you started, at (-3, 4).
What's the recursive formula of the geometric sequence below?
2, 6, 18, 54, 162, 486,...
O ay = 3; an = an-1 · (2)n-1 for n 2 2
a1 = 2; an = an-1 . (3) for n 2 2
O a1 = 2; an = an-1 • (3)n-1 for n 2 1
ay = 2; an = an-1. (2) for n 2 1
Answer:
Hey there!
We have an=a1(r^n-1), which is the formula for a geometric sequence.
The common ratio is 3, and 2 is the 1st term.
Thus, we have a1=2(3)^(n-1)
Hope this helps :)
Answer:
Hey there!
We have an=a1(r^n-1), which is the formula
for a geometric sequence.
The common ratio is 3, and 2 is the 1st
term.
Thus, we have a1=2(3)^(n-1)
can somewon help me plx
Answer:
[tex]\boxed{392in^2}[/tex]
Step-by-step explanation:
Hey there!
Well to find SA we need to find the area of the rectangles.
So lets do the top rectangle,
6*6 = 36
Now lets do the the left rectangle,
10*6 = 60
Now lets do the far right one,
6*4 = 24
Now lets do the second highest rectangle,
4*6 = 24
Now lets do the rectangle facing the right side,
6*6 = 36
Now we can do the bottom rectangle,
6*10 = 60
Now lets do the 2 facing front and back,
6*10 = 60
4*4 = 16
60+16 = 76
76*2 = 152
Now we can add everything,
152 + 60 + 36 + 24 + 24 + 60 + 36
= 392 in^2
Hope this helps :)
AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D
Answer:
fraction: 87/100. decimal: 0.87
Step-by-step explanation:
Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.
Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.
100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.
Sorry if this is confusing, and I hope it helps :)
Answer:
Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex] The decimal = 0.87
Step-by-step explanation:
first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100
Pllzzz help I’ll mark brainliest
Answer:
26°
Step-by-step explanation:
AC=tan 64
BC=x=sec 64
Using sine rule
(Sin 64)/tan 64 = (sin BAC)/sec 64
Cos 64 = (sin BAC)(cos 64)
Sin BAC= 1
BAC=90
ACB+ 64+90=180
ACB= 26°
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
Answer:
8 servings of rice
Step-by-step explanation:
How many units away is 1 from -6 on a number line?
Answer:
7 units
Step-by-step explanation:
(number line:)
<- -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ->
←there are 7 units from 1 to -6 (you don't count the 0)
(I'm not sure if you understood my explanation, but I do am sure about the answer, so if there is something you didn't understand let me know, and which part are you confused about so I can help you out!)
Answer:
[tex]\huge\boxed{\sf 7\ units}[/tex]
Step-by-step explanation:
To find that how much far they are from each other, we can subtract both of them.
=> 1 - (-6)
=> 1 + 6
=> 7 units
So, they are 7 units apart from each other.
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
Math Question (10 Points):
Answer:
A
Step-by-step explanation:
Becuase It expands the (2+4)8=2*8+8*4=6*8=48
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
what is the value of x
Answer:
x = 78
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
Answer:
78 degrees
Step-by-step explanation:
According to vertical angles theorem (vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent) 78 and x are congruent
A 20% discount on pants, and its price became 48 after the sale, what was its price before
Answer:
$60
Step-by-step explanation:
Represent the original price by p. Then:
1.00 p = original price
0.20 p = discount
0.80p = price after discount = $48
Solving for p, we divide both sides by 0.80:
$48
p = ---------- = $60
0.80
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
The answer is B
Step-by-step explanation:
A line has Zero slope is when the line is parallel to the x-axis. The slope of the first pair of coordinates will have no slope or zero slopes.
What is the slope of a line?The slope of a line is given by the formula,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.
1. For the first slope, the given coordinates are
(-3,2),(-1,2),(1,2),(3,2)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{2-2}{-3-3}=\dfrac{0}{-6}=0[/tex]
Thus, the slope of the line is 0. And if we plot the points on the graph we will see that the slope of the line is 0.
2. For the second slope, the given coordinates are
(-3,3),(-1,1),(1,-1),(3,-3)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{3-(-3)}{-3-3}=\dfrac{6}{-6}=-1[/tex]
Thus, the slope of the line is -1. And if we plot the points on the graph we will see that the slope of the line is -1.
3. For the third slope, the given coordinates are
(-5,-5), (0,0), (5,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{-5-5}{-5-5}=\dfrac{-10}{-10}=1[/tex]
Thus, the slope of the line is 1. And if we plot the points on the graph we will see that the slope of the line is 1.
4. For the fourth slope, the given coordinates are
(-2,5), (-2,0), (-2,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{5-0}{-2-(-2)}=\dfrac{5}{0}[/tex]
Thus, the slope of the line is undefined. And if we plot the points on the graph we will see that the slope of the line is undefined or at 90° from the x-axis.
Hence, the slope of the first pair of coordinates will have no slope or zero slopes.
Learn more about Slope of the line:
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i need to know what the answer is!?
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
can somewon help me plz
Answer:
parallel
Step-by-step explanation:
We are cutting in the same direction as the base, so the slices is parallel to the base
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
1,4,7,9,10
7,28,49,63,70
table thingy
Step-by-step explanation:
The amount multiplied is 7- we can divide or multiply accordingly because it is 7 dollars per feet of fencing.
Complete the statement. The line x = −2 is _______.
Answer:
see explanation
Step-by-step explanation:
The line x = - 2
Is a vertical line parallel to the y- axis
It passes through all points with an x- coordinate of - 2
For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?
Answer:
9.49
Step-by-step explanation:
Add the price of the chips and salsa to the price of the tacos
5.50
+3.99
---------------
9.49
Answer: $9.49
Step-by-step explanation:
0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49
$5.50
+$3.99
————
$9.49
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
If the probability that a person will die in the next year is 771/100,000
what is the probability that the person will not die in the next year?
A. 0.771%
B. 99.229%
C. 0.229%
D. 99.771%
Answer:
(B) 99.229%
Step-by-step explanation:
If the probability of someone dying next year is [tex]\frac{771}{100000}[/tex], that means the probability of someone NOT dying next year is [tex]\frac{100000-771}{100000} = \frac{99229}{100000}[/tex].
To find the percent value of this fraction, we divide 99229 by 100000 and multiply by 100.
[tex]\frac{99229}{100000} = 0.99229\cdot100=99.229[/tex]
So, the answer is B, 99.229%.
Hope this helped!
attachment help for question c no explanation only answer thank you
Answer:
Tablets.
Step-by-step explanation:
You didn't want an explanation so....here you go....no explanation.
Hope that helps and maybe earns a brainliest.
Have a great day!
Any help will be nice...Dont answer for points >:( Correct equations for vertical line (7.5pt) Correct equations for horizontal lines (7.5pt) 1. In many cities and towns across the United States, the numbering system of the roads is based on a grid, similar to the latitude and longitude lines on a globe. Suppose the green lines in the following graph represent two east-west and two north-south running roads in a Midwestern town.
Answer:
See below.
Step-by-step explanation:
Horizontal lines have the equation:
[tex]y=n[/tex]
Where n is the value the horizontal line stays on.
Vertical lines have the equation:
[tex]x=n[/tex]
Where n is the value the vertical line stays on.
For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:
[tex]x=-5 \text{ and } x=8[/tex]
For the two east-west lines, one of them stays on -7 and the other stays on 4.
Therefore, the two horizontal line equations are:
[tex]y=-7 \text{ and } y=4[/tex]
Remove all perfect squares from inside the square root√ 72
Answer:
8.48
Step-by-step explanation:
After removing the perfect square inside √72 we get,
6√2
The given square root is,
√72
Since we know that,
A perfect square is a number that is stated as the product of an integer multiplied by itself. The perfect square is also represented as the second exponent of an integer since the same number is multiplied twice. The squares of all integers are hence referred to as perfect squares.
Simplify the square root of 72.
Factor 72 into 36 and 2,
Giving us the square root of 36 times the square root of 2.
Therefore,
√72 = √36 x √2
We know that the square root of 36 is 6,
So we can substitute that in:
√72 = 6 x √2
Hence after removing the perfect square inside √72 we get,
6√2.
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What is the value of the expression in the image? A. 216 B. 224 C. 666 D. 678
Answer:
C. 666
Step-by-step explanation:
USING PEMDAS we can solve this problem.
[tex]675-(15-12)^3 / 3\\15-12=3\\675-(3)^3/3\\675-27/3\\675-9=666[/tex]
Answer:
666
Step-by-step explanation:
Following Order of Operations rules (PEMDAS), we must do first any operations that appear inside parentheses. Here (15 - 12) = (3).
Next we must perform any exponentiation. Here we have 3^3 = 27.
Then we have 675 - 27 / 3, or 666 (Answer C)
You and your mom enter a drawing with 3 different prizes a total of 9 people enter
Answer:
the probability if that is what you are asking for is 1/3 of winning a prize
Step-by-step explanation:
Answer:
1/3 chance per each person of winning a prize
Step-by-step explanation:
Find the median of the data in the dot plot below.
Answer:
it's 40
Step-by-step explanation:
because, there's five numbers on each side of 40
Answer:
Step-by-step explanation:40
An isotope of lead, 201Pb, has a half-life of 8.4 hours. How many hours ago was there 70% more of the substance? (Round your answer to one decimal place.) hr
Step-by-step explanation:
half life time-50%-8.4hr
so for 10%- 8.4/5=1.68 hr
now for 70%
1.68 × 7 = 11.76 hrs
to one decimal place - 11.8hrs
11.8 hours ago, there were 70% more of the substance if an isotope of lead has a half-life of 8.4 hours.
What is half-life?Half life is the time that it takes for half of the original value of some amount of a radioactive element to decay.
Half-life period - 50% -8.4hours
so for 10%- 8.4/5 = 1.68 hour
now for 70%
1.68 × 7 = 11.76 hours
To one decimal place - 11.8hours
Hence, 11.8hours is the answer.
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John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: 24
Step-by-step explanation:
Colleen painted 7 windows, some of which were her mother's.
Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.
If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.
8+7+3+3+3=24
The total windows in the house are 21.
What is an algebraic expression?It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.
In our given problem, the algebraic relation between different members work output and total windows can be expressed as:
Windows painted by colleen and her mother = 7
Windows painted by father = (Windows painted by colleen and her mother + 1)
= (7 + 1) = 8
∴ Windows painted by father = 8
Now, as given,
2 Windows painted by mother = Windows painted by father
∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4
and Windows painted by colleen = 7 - 4 = 3
Colleen and her 2 brothers paint equal windows;
∴ They painted 3 windows each.
The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:
⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21
Hence the total windows in the house are 21.
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