Answer:
(x+3)(x+9)=x²+12x+27
2x²+24x+54=374
2x²+24x-320=0
x²+12x-160=0
x=-20 x=8
2cm,(-20+3)cm,(-20+9)cm
L=2cm W=-17cm H=-11
Step-by-step explanation:
Expand (x+3) and (x+9) -----> x^2+12x+27
Multiply the answer by two 2x^2+24x+54
Move 374 to the side by taking away ----->54-374=320
Divide the whole equation by 2 ---> x^2+12x-160
Factorise
The Width of cuboid is 11cm and Height of cuboid is 17 cm
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax²+ bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.
Given:
Volume of Cuboid= 374
length= 2cm
width= x+ 3
height= x+ 9
Now, Volume of cuboid= length x width x height
2(x+3)(x+9)=374
2(x² + 12x +27)= 374
x² + 12x +27 = 187
x² + 12x -160=0
Now, factorizing
x² + 20x -8x-160=0
x( x+20) -8(x+ 20)=0
(x+ 20)(x - 8)=0
x= 8 and x= - 20
As. the dimensions cannot be negative.
So, Width= x+3 = 8+3 = 11cm
Height= x+9 = 3+9 = 17 cm
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ2
whats 1100 x 100,00 pls help
Answer:
110000
Step-by-step explanation:
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answer:
option D is the answer
Step-by-step explanation:
3n + 5
_______
n² + 5
The solution shown for the equation is incorrect. What is the correct solution? What is the error?
-5 (4 - r) = 15
-20 - 5r =15
-5r = 35
r = -7
PLEASE HELP ASAP:(.....
Answer:
5
Step-by-step explanation:
23 - 10 = 13
13 - 8 = 5
Answer:
5
Step-by-step explanation:
p = a + b + c
23 = 8 + 10 + c
23 = 18 + c
5 = c
9. Lillie's grandmother is making dinner
rolls for a family reunion. She makes 3
rolls for each person attending the dinner.
If she expects 24 people to attend the
reunion, which proportion can be used to
solve for r, the number of rolls?
HELP PLEASE!!! EASY I just haven't done algebra in a while so I forgot lol.
Two water bottles have capacities in the ratio 4 to 3. The larger bottle has 11 more gallons than the smaller one. How much water will the larger and smaller bottle hold?
Answer:
wait.. almost done...
Step-by-step explanation:
Answers:
Larger bottle = 44 gallons
Smaller bottle = 33 gallons
=====================================================
Explanation:
L = capacity of larger bottle
S = capacity of smaller bottle
Capacities are in gallons
We're told the ratio of these capacities is 4 to 3, meaning L/S = 4/3. Note how L goes first on top since 4 is the first number and it's larger than 3.
Cross multiply to get 3L = 4S. We can solve for S to get S = 3L/4.
----------------------------
We're also told that the larger bottle has 11 more gallons than the smaller one, so,
Larger = Smaller + 11
L = S+11
L = (3L/4) + 11 .... plug in S = 3L/4
4L = 4*(3L/4) + 4*11 ... multiply every term by 4
4L = 3L + 44 .... the fraction goes away afterward
4L-3L = 44 .... subtract 3L from both sides
L = 44
The larger bottle can hold 44 gallons
S = 3L/4
S = 3*44/4
S = 3*11
S = 33
The smaller bottle can hold 33 gallons
Note that L-S = 44-33 = 11 to show there's an 11 gallon difference between the larger and smaller bottles. We can also see that L/S = 4/3 is also true because 44/33 = 4/3. This confirms our answers.
I NEED HELP ASAP I WILL MARK YOU AS BRAINLYLIST
Answer:
Step 2 Hope this helps
Step-by-step explanation:
Answer:
step:2
Step-by-step explanation:
12x-6=14+2x it must be there.
what is the inverse of the function f(x)=2x^2-3
A computer technician charges a fee of $75 for consultation plus $35 per hour. How much would your bill be if the technician worked for 4.5 hours.
A.$90.75
B.$215.00
C.$372.50
D.$232.50
For khan academy . Need answer immediately
It's easy just use y=mx+b form ok?
5.5 cm
What is the circumference of this circle?
cm
Answer:
23.76
Step-by-step explanation:
If you answer this I'll mark you the brainest
Four bots are preparing for a final click battle.
Order the bots to show how they will place
Answer:
Bot C, A, D, and B
Step-by-step explanation:
Answer: c,a,d,b
Step-by-step explanation: c is the fastest a is second fastest d is third, b is last
What is the value of x?
In the drawing, lines g and h are parallel.
k
A
32
1200
g
B) 40
h
(2x - 470
42
D
58
Answer:
D
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
[tex] y = 8 [/tex]
Step-by-step explanation:
Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, [tex] y - y_1 = m(x - x_1) [/tex] and also in slope-intercept form, [tex] y = mx + b [/tex].
Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in [tex] y - y_1 = m(x - x_1) [/tex].
Thus:
[tex] y - 8 = 0(x - (-2)) [/tex]
[tex] y - 8 = 0 [/tex]
Rewrite in slope-intercept form
[tex] y - 8 + 8 = 0 + 8 [/tex] (addition property of equality)
[tex] y = 8 [/tex]
25 POINTS!! PLS HELP
Answer:
5/13
Step-by-step explanation:
You are meant to find cos which is CAH
That means there is an adjacent and hypotenuse
So it will be 5/13
Each square in the grid is a unit square with an area of 1 square unit. What is the area of the figure? square units
Answer:
The total area of the figure is: 16 square units
Step-by-step explanation:
The Area is basically a measure of how much space in square units there is inside an object.
Given that each square in the grid is a unit square with an area of 1 square unit.
The figure clearly shows that there are 14 complete squares and 4 half square units.
Thus, the total area of the figure is:
(1 × 14) + (1/2 × 4)
=14 + 2
= 16 square units
Therefore, the total area of the figure is: 16 square units
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
∠RSC
∠SRE
∠DQS
∠QSR
Answer:
QSR
Step-by-step explanation:
Same letters so its the answer
10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
Answer:
Approximately 15 tea hees
Step-by-step explanation:
Given that:
Number of teachers needed to Mark 500 exam papers in 30 hours =
Hence, marking rate of each teachers ;
500 / (30 * 10) = 500 / 300 = 1.667 papers per hour
If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;
Let number of teachers = t
(Rate * number of hours * number of teachers) = number of exam papers to be marked
(1.6667 * 25 * t) = 600
41.666665t = 600
t = 600 / 41.666665
t = 14.40000
Number of teachers needed = about 15 teachers
The information is in the picture PLEASE HELP ME
Answer:
The answer is A
Step-by-step explanation:
2t(t-4)
(2t x t)(2t x -4)
2t^2 - 8t
x is less than 1/4 of two dozen
x is not a factor of 10
x is an odd number
x =?
Answer: 7
Step-by-step explanation:
which of the following is the graph of y=lx-3l
What is the kinetic energy of a toy truck with a mass of 0.75kg and a velocity of 4 m/s (Formula: KE= 1/2mv2)
Answer:6
Step-by-step explanation:
Helppppp will give the crown
What is the value of x pls help
Answer:
118
Step-by-step explanation:
Answer:
118⁰
Step-by-step explanation:
37⁰+25⁰= 62 ⁰
180⁰-62⁰= 118⁰
answered
If y = 3x and 2x – 4y = 3, then x=
Answer:
x= -3/10Step-by-step explanation:
putting value
2x - 4(3x) =3
2x- 12x = 3
-10x = 3
x = -3/10Can someone help me with this
Answer:
Step-by-step explanation:
It pretty simple, you need to read the sentence and match the number.
Ex:
Seven more than one half = 7 more than 1/2
= 7+ 1/2
Because ‘more’ shows that you’re adding
While difference shows you’re subtracting
Quotient shows you’re dividing
And product shows you’re multiplying
And when it refers to ‘a number’ it means your variable which in this case is ‘n’.
Cheri has a box of cookies to share with her friends. If she gives each friend 6 cookies, she will have 1 cookie left over. If she gives each friend 4 cookies, she will have 29 cookies left over. How many friends does Cheri have?
30 because you ads the total remaining/
Every month, Ms. Thomas makes the same payment on her car loan. Each month she pays $125 for her car. How much money has she paid over 3 months?
Answer:
375 dollars.
Step-by-step explanation:
1 month's payment = $125
3 month's payment = 3*$125 = $375
Answer:
$375
Step-by-step explanation:
she paid 3 TIMES (125)
3x125= 375
hope this helps
What is the value of n?
1131
nº
160°
A. 290
B. 490
C. 20°
D. 690
Answer:
c as 131 -180=49° is the answer
Select an expression that is equivalent to 3(n − 3) + 4. (1 point)
a
3n + 1
b
3n − 5
c
3n + 13
d
3n − 3
Answer:
C. 3n+13
Step-by-step explanation:
When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.