Answers
Answer:
(3u + 24) / (u + 9)
Step-by-step explanation:
6u + 72 / 2u + 24 ÷ u² + 21u + 108 / u² + 20u + 96
We'll begin by factorising u² + 21u + 108 and u² + 20u + 96. This can be obtained as follow:
u² + 21u + 108
Multiply u² and 108. The result is 108u². Find the factors of 108u² such that their sum will result to 21u. The factors are 12u and 9u.
u² + 12u + 9u + 108
u(u + 12) + 9(u + 12)
(u + 9)(u + 12)
u² + 20u + 96
Multiply u² and 96. The result is 96u². Find the factors of 96u² such that their sum will result to 20u. The factors are 12u and 8u.
u² + 12u + 8u + 96
u(u + 12) + 8(u + 12)
(u + 8)(u + 12)
6u + 72 / 2u + 24 ÷ u² + 21u + 108 / u² + 20u + 96 =
6u + 72 / 2u + 24 ÷ (u + 9)(u + 12) / (u + 8)(u + 12) =
(6u + 72) / (2u + 24) × (u + 8)(u + 12) / (u + 9)(u + 12)
(6u + 72)(u + 8)(u + 12) / (2u + 24)(u + 9)(u + 12) =
(6u + 72)(u + 8) / (2u + 24)(u + 9) =
6(u + 12)(u + 8) / 2(u + 12)(u + 9) =
6(u + 8) / 2(u + 9) = 3(u + 8) / (u + 9)
= (3u + 24) / (u + 9)
Related Questions
Vicki made 3 quarts of lemonade to serve at her party. she will serve the lemonade in glasses that hold 1 cup of liquid each. how many of these glasses can Vicki fill with lemonade? ( giving extra points etc. )
A : 16
B : 12
C : 14
D : 8
Answers
Answer: 12, B
Step-by-step explanation: There are 2 pints in a cup, and two cups in a quart. so 2 plus 2 is 4. 4 times 3 equals 12. so it is 12
Hi! I need help on these 4 questions ASAP!
Answers
Answer:
use the app photomath. its free. and shows you all the steps
Step-by-step explanation:
how many time larger is 5000 to 5
Answers
Answer:
1000 times larger.
Step-by-step explanation:
Answer:
1000 ( divide 5000 by 5 )
the tallest building in houston in 1,002 feet tall the tallest building in dallas is 307 yards tall which of the following is true F. the dallas building is 27 yd taller than the houston building G. the houston building is 27 yd taller than the dallas building H. the dallas building is 695 ft taller than the houston building J. the houston building is 695 ft taller than the dallas building A. 200 x 80 cm x 1 km/ 1,000 cm B. 200 x 80 cm x 1 cm/ 100 C. 200 x 80 cm x 100cm/1 m x 1,000 m/ 1 km D. 200 x 80 cm x 1 m/ 100 cm x 1 km/ 1,000 m
Answers
Answer:
The tallest building in the city is the Bank of America Plaza, which rises 921 feet (281 m) in Downtown Dallas and was completed in 1985.
Step-by-step explanation:
Answer:
G. the houston building is 27 yd taller than the dallas building
Step-by-step explanation:
1,002 ft
= 334 yards (Houston)
307 yards (Dallas)
F. Incorrect because the Houston building is taller.
G. 334 - 307 = 27 (This is true)
695 ft is not equal to 27 therefore, H and J are not true.
2/16 1 0 1 2 Which inequality matches the graph? A) n
Answers
There is no picture but I'll help you find out:
The inequality is easy because an inequality says,
y > mx + b (This is just an example)
m = slope
b = y- intercept
What about the sign?
If the circle in the graph which is at the y-intercept (b) is OPEN than it's either < or > depending on where it's going, if it's going to the right on a number line than it's >, however if it goes left than it's <.
What about the AND EQUAL TO sign?
Well same rules apply, however if the circle is CLOSED than it should be ≤ or ≥, same rules apply, if it goes right or left it's the same rule the only thing that changes is the and equal to, if circle is closed.
Example:
slope: 1/2
y-intercept: -9 (and the line is shaded to the right)
Open circle:
Equation: y > 1/2x - 9
Example 2:
slope: 3/4
y-intercept: -9 (is shaded to the left (less than))
(shaded)Closed circle:
Equation: y ≤ 3/4x - 9
please help me!! pel
Answers
Answer:
5
Step-by-step explanation:
plug that bad boy in and chug
[tex](-6)^{2} + 6(-6) +5[/tex]
36 + (-36) + 5
36 - 36 + 5
5
Answer:
It’s 5
Step-by-step explanation:
Because the new expression would be -6^2 + 6(-6) + 5 then u solve it...
36 + (-36) + 5
which is 5 have a great day!
No files if your not sure don’t Awnser if correct I will give brainlest
Answers
Answer:
to convert a fraction to a decimal you have to divide the numerator with the denominator.
so Rylie ate 12 grapes out of 20= 12/20
12/20=0.6
Step-by-step explanation:
One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of
walnuts are needed to make 3 3/4 batches of muffins?
5 cups
4 cups
5 1/12 cups
3 3/12 cups
Answers
Answer:
A
Step-by-step explanation:
How is it similar please explain why don’t just say it looks the same please
Answers
Morgan needs to earn $16.31 more to have $40.00. Four students wrote and solved equations to find m, the amount of money that Morgan has now. Which student wrote and solved the equation correctly?
Sid’s work:
m minus 16 dollars and 31 cents = 40 dollars. M = 56 dollars and 31 cents.
Sora’s work:
m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents.
Matt’s work:
16 dollars and 31 cents + 40 dollars = m. m = 56 dollars and 31 cents.
Zyad’s work:
16 dollars and 31 cents m = 40 dollars. M = 23 dollars and 69 cents.
Answers
Answer:
Sora's work:m + 16 dollars and 31 cents = 40 dollars. M = 23 dollars and 69 cents. is correct
Answer:
Sora’s work, B on edge 2022! i took the test :)
i need help j s u k its geometry/angles PLS HELP
Answers
Answer:
1. measure of angle CFE = 28 degrees
2. measure of angle RPQ = 53 degrees
I would appreciate Brainliest, but no worries.
Answer:
1) we know that line CFD is a straight line. So the angles on the line will add up to 180 degrees.
so, angle CFE + angle DFE = 180 degrees
angle CFE = 180 - angle DFE
CFE = 180 - 152
CFE = 28 degrees.
2) it is given that angle SPR and angle RPQ are complementary, that is, they add up to 90 degrees.
so, SPR + RPQ =90 degrees.
RPQ = 90 - angle SPR
RPQ = 90 - 37
RPQ = 53 degrees.
hope you understood :)
Can somebody help me?
Answers
Answer:
the answer 24 squared
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Add 11 on both sides, therefore getting x is less than or equal to 11. Now find the graph that fits the description - therefore D.
Q8. What is the nth term of the arithmetic sequence with T 14 = 19 and
common difference, d= 2?
A. T = 2n +7
B. T = 2n +11
C. T = 2n-9
D. T = 2n-15
Answers
Answer:
C. T = 2n-9
Step-by-step explanation:
hello :
C. T = 2n-9 because when n = 14 T14 = 2(14)-9 =28-9 = 19
find the lengjth of the missing figure.
x=__cm
Answers
Answer:
X = 16 cm
Step-by-step explanation:
Pythagoras law is :
20^2 = X^2 + 12^2
400 = X^2 +144
400 - 144 = x^2
256 = x^2
x = ( 256 ) ^1/2
X=16
Find x, y and p in the given figure
Answers
Answer:
x=50
y=40
p=130
Step-by-step explanation:
A whole circle is 360 degrees, so 270+40+x = 360. x=50.
Y is the same angle as the 40 degrees above it.
P is the same as y+90, so it's 40+90 = 130.
3(4x – 2.5) = 5(0.4x + 10) + 33
what is the solution? ASAP
Answers
Answer:
3(4x - 2.5) = 5(0.4x + 10) + 33
3•(4•x - 2.5) = 5•(0.4•x + 10) + 33
10x = 90.5
x = 181/ 20
= 9.05
Step-by-step explanation:
9514 1404 393
Answer:
x = 9.05
Step-by-step explanation:
Start by eliminating parentheses.
12x -7.5 = 2.0x +50 +33
10x = 90.5 . . . . . . . . . . . . . add 7.5-2x
x = 9.05 . . . . . . . . . . divide by 10
1/4 k = 28
whats the value of k?
Answers
Jerome bowling average ,j, is at or above the leagues average of 100. Witch inequality BEST represents?
Answers
J>/= 100
You start at (-4, 2). You move down 5 units. Where do you end?
Answers
Answer:
(-4, -3)
Step-by-step explanation:
I think this is the answer.
How long is the base of a parallelogram if it has an area of 100 square meters and a height of 5 meters?
Answers
Answer:
Base of parallelogram = 20 meter
Step-by-step explanation:
Given:
Area of parallelogram = 100 square meters
Height of parallelogram = 5 meters
Find:
Base of parallelogram
Computation:
Area of parallelogram = [Base of parallelogram][Height of parallelogram]
By putting value in the formula;
100 = [Base of parallelogram][5]
Base of parallelogram = 100 / 5
Base of parallelogram = 20 meter
A jar contains 10 red marbles 18 blue marbles and 12 white marbles. Which multiplication will halo you find the sorted probability of picking a red marble, replacing it, then picking a blue marble?
Answers
Answer:
[tex]\frac{9}{80}[/tex]
Step-by-step explanation:
So there is 40marbles in total
The probability of picking a red marble first is [tex]\frac{10}{40}[/tex] because there is 10 red marbles out of 40 total marbles
Then you replace it and I'm going to assume that you put the red marble back.
Then you would still have 40 marbles and the probability of picking a blue one is [tex]\frac{18}{40}[/tex] because there is 18 blue marbles.
Then you multiply [tex]\frac{10}{40}[/tex] and [tex]\frac{18}{40}[/tex] and that is [tex]\frac{9}{80}[/tex]
Hope this helps and If I'm wrong pls tell me.
The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answers
Answer:
30.96 ft²
Step-by-step explanation:
area of square = 12 x 12 = 144 ft²
area of circle = (3.14)(6²) = 113.04 ft²
144 - 113.04 = 30.96 ft²
Find the surface area
No link please and thank you
Answers
Answer:
1200 in^2
Step-by-step explanation:
SA = 2B + Ph
SA = 2(8 * 15 / 2) + 40(27)
SA = 1200
find the area of the shape below
I WILL MARK BRAINLEST!!
Answers
Answer:
25.75 sq units
Step-by-step explanation:
Big triangle = 1/2 * 3.5 * 9 = 15.75
Tiny triangle = .5 * 2 * 2 = 2
Medium triangle = .5 * 2 * 5 = 5
square = 2 * 2
15.75 + 4 + 5 + 2
Find the equation of a circle that has a diameter with endpoints given by the points
A(-4,1) & B(4,2).
Answers
Step-by-step explanation:
The endpoints of the diameter are A(-4,1) and B(4,2) . For finding the equation of circle we need to find the centre and the radius.
Coordinates of centre can be find out by the midpoint formula.
[tex] \implies Center = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\implies Centre = \bigg(\dfrac{-4+4}{2},\dfrac{1+2}{2}\bigg)\\\\\implies \boxed{\boxed{Centre = (0 , 1.5)}}[/tex]
Now the measure of radius can be obtained by half the distance between them.
[tex]\implies D = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}\\\\\implies D =\sqrt{ (4+4)^2+(2-1)^2}\\\\\implies D = \sqrt{ 64 + 1 }\\\\\implies D =\sqrt{65} \\\\\implies \boxed{\boxed{ Radius = \dfrac{\sqrt{65}}{2} }}[/tex]
We know the general equation of circle as ,
[tex]\implies (x-h)^2+(y-k)^2= r^2[/tex]
(h,k) is centre r is radius.[tex]\implies (x-0)^2+ (y-1.5)^2 = \bigg(\dfrac{\sqrt{65}}{2} \bigg)^2\\\\\implies x^2 + (y-1.5)^2=\dfrac{65}{4} \\\\\implies\boxed{\boxed{ 4x^2+4(y-1.5)^2 = 65 }}[/tex]
Wei biked 91 meters. Paul biked 65 meters. How much farther did Wei bike than Paul? Enter the answer in the box. meters
Answers
Answer:I have the same quastion too
Step-by-step explanation:
Your centrifugal pump costs approximately $30 to run each day. Your facility is charged 9.7 cents per kilowatt hour for electricity, and all pumps in your facility use 240 VDC. What is the resistance of the copper wire supplying electricity to this pump?
Answers
Answer:
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
Step-by-step explanation:
Given
Per day cost of running centrifugal pump is $30
Charge of electricity is 9.7 cents per kilowatt hour
Total electricity power consumed
[tex]\frac{30}{0.097} \\309.278[/tex] kilowatt hour
Current flowing through the pump
[tex]= \frac{309.278}{240} \\= 1.288[/tex]A
Resistance of the pump
[tex]\frac{1.288}{240} \\0.005[/tex] ohm
The resistance of the copper wire supplying electricity to this pump is 0.005 ohm
David ordered 210 face masks. 50% of the masks are blue. A fifth of the total masks are white and the remainder are black masks. How many black masks
Answers
Answer:
63
Step-by-step explanation:
50 % of 210 = 105
one fifth of total = 42
black masks = (105+42=) - 210 = 63 ans.
Maya counts 55 passengers on the bus. There were only 50 passengers on the bus. What is Maya's percent error?
Answers
Answer:
I don't know.
Luke invested £4000 in a savings account for 3 years.
Compound interest was paid at a rate of 1.8% each year.
Alexa also invested £4000 in a savings account for 3 years.
Simple interest was paid at a rate of 1.8% each year.
Luke got more interest than Alexa in total over the 3 years.
How much more?
You must show all your working.
Answers
Answer: $3.91
Step-by-step explanation:
Luke investment:
This is compound interest so the future value formula will be used:
= Amount * ( 1 + rate) ^ no. of years
= 4,000 * ( 1 + 1.8%)³
= $4,219.91
Alexa investment:
Simple interest is calculated with the formula:
= Amount * ( 1 + rate * time)
= 4,000 * ( 1 + 1.8% * 3)
= $4,216
Amount Luke made more than Alexa:
= 4,219.91 - 4,216
= $3.91