Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.
Answer:
Hence doubling the dimension gives a volume greater than doubling the original volume.
Step-by-step explanation:
Given The dimension :
Original dimension : 6 meters by 5 meters by 12 meters
Volume of original dimension :
6 * 5 * 12 = 360 m³
If dimension is doubled :
2 * 6 = 12
2 * 5 = 10
2 * 12 = 24
Volume = (12 * 10 * 24) = 2880 m³
2 * original volume = 2 * 360 = 720 m³
Hence doubling the dimension gives a volume greater than doubling the original volume.
0.4x - 1.2 = 0.15x + 0.8 ?????????
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
which of the following statements is correct
Someone plz help in this math question
Answer:
BDA=52 angles at the centre is equal to 2× angles at circumference
I need help with this question
b divided 2 = 4.4
Answer: B= 8.8
Step-by-step explanation:
B/2 = 4.4
B/2 (2) = 4.4 (2)
B = 8.8
Mrs. Diaz graded 24 tests in 0.5 hours. How many tests per hour did she grade?
Round the following real number to the nearest hundredth: 67.498
Answer:
67.50
Step-by-step explanation:
Answer:
67.5The hundredth is always the second number after the decimal point (to the right).
So, when rounding to that number look at the number on the right of it, which in this case is 9.
Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.
In this case, the number above 0.49 is 0.5.
Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!
Express as a trinomial.
(3x + 7)(3x – 9)
Answer:
9x² - 6x - 63
Step-by-step explanation:
Use the FOIL method. FOIL stands for First, Outside, Inside, Last.
Multiply following the FOIL:
3x * 3x = 9x²
3x * -9 = -27x
7 * 3x = 21x
7 * -9 = -63
9x² - 27x + 21x - 63
Combine like terms.
9x² (-27x + 21x) - 63
9x² - 6x - 63
9x² - 6x - 63 is your answer.
~
area of plane and composite figures
Please answer help thank you
HELP DUE IN 60 MINS!
21. What should go in Reason 1?
22. What should go in Reason 2?
23. What should go in Reason 3?
These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.
Answer:
corresponding angle , Reflexive Property of CongruenceAA APostulate,$480 is shared in the ratio 4:3:5
Leo ran 1 1/8 miles every day and for 7 days. He wrote the equation below to help him find the total number of miles he ran for the week.
Answer:
7.875
Step-by-step explanation:
1 1/8 times 7= 7.875
A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?
Answer:
The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet
Step-by-step explanation:
hope it helps !
Answer: 75 feet
Step-by-step explanation:
sebuah pesawat penyelam terbang dengan kecepatan 55.0 m/s dengan ketinggian konatan h 400m dengann gaya gravitasi 9.8 m/s kuadrat.tentukan sudut elevasi !!
help
Answer:
Step-by-step explanation:
Hand d hands. I Nnendjejw ndndnenend nsdnd nsrjer
The graph below shows the distance a car can
travel, y, using x gallons of gasoline.
300
200
Distance (miles)
100-
1 2 3 4 5 6 7 8 9
Amount of Gasoline
(gallons)
HELPP!!
Answer:
yyyyyyyyyy
Step-by-step explanation:
yyyyyyyyyyyyyyy
5.
Write the slope-intercept form of the equation for the line.
A. y = – 2x – 1
B. y= (1)/(2)x + 1
C. y= (1)/(2)x - 1
D. y = 2x – 1
Help Please ASAP all answers are greatly appreciated!
Answer:
its either a or b not entirely sure on which
Step-by-step explanation:
the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps
Answer:
236.5
Step-by-step explanation:
Sorry if it looks messy, I messed up in the middle!
Solve the following system of equations graphically on the set of axes below.
y = 3x - 3
y = -2+1
Duncan is running to raise awareness and money for cancer. He finds 2 people who have pledged to
donate money based on the distance he runs. His neighbor says he will donate $0.25 for every 40 feet
Duncan runs. His aunt also says that she will donate $12 for every mile he runs. If Duncan runs a total of
7 miles during the cancer awareness run, how much money will he have raised based on these two
donations?
Answer:
$1008
Step-by-step explanation:
12 x 7 = $84 his aunt gives him.
1 mile = 5,280 feet
5,280 x 7 = 36,960 feet he ran.
5,280 ÷ 40 = 132 for every mile he runs
132 x 7 = $924 from his neighbor.
924 + 84 = 1,008
The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12
Answer:
15x^3+28x^2-55x-12
Step-by-step explanation:
Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.
assuming the box is cuboidal
Therefore, volume of the box = Length× width× height
⇒volume of the box = (x+3)×(3x-4)×(5x+1)
now, (x+3)×(3x-4) = (3x^2+5x-12)
Now, volume of the box = (3x^2+5x-12)×(5x+1)
= 15x^3+28x^2-55x-12
The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?
Answer:
4/48 simplified by 4 = 1/12
The probability is 1/12
.............
PLZ PLZ PLZ PLZ HELP WILL GIVE BRAINLIST IF CORRECT!
Answer:
104.92
Step-by-step explanation:
2(x+11)=3x=42simplify
Answer:
2x+22=42
Step-by-step explanation:
2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10
Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?
Answer:
1/12 per bag
Step-by-step explanation:
A Fisherman spent his weekend working on his farmland
He had 1/6 of a bag of soil
He spreads it evenly among his 2 garden beds
Therefore the soil in each garden bed can be calculated as follows
= 1/6 ÷ 2
= 1/6 × 1/2
= 1/12 per bag
please help me ill mark you brainly and please show your work
Step-by-step explanation:
[tex] \frac{5}{8} (4x - 16) = 20[/tex]
[tex] \frac{5}{2} x - 10 = 20[/tex]
[tex] \frac{5}{2}x = 20 - 10[/tex]
[tex]x = 4[/tex]
Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error.
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.
i just need the equation!
Answer:
let the no. of students in art class be x
then
9+4x=101
now u can solve it! u will get x = 23
Please help me ASAP.
Answer:
D
Step-by-step explanation:
Solve system of linear equations by graphing.
-2x - 5y = -10
3x + 6y= 18
Answer:
this is the answer bb
Step-by-step explanation: