Answer:
His mistake was he didn't multiply 3(4) when he was opening the parenthesis
Step-by-step explanation:
Correct solution:
12x – 5 = 3(x + 4)
Open parenthesis
12x – 5 = 3x + 12
Collect like terms
12x - 3x = 12 + 5
9x = 17
x = 17/9
x = 9 8/9
Incorrect solution:
12x – 5 = 3(x + 4)
His mistake was he didn't multiply 3(4) when he was opening the parenthesis
12x – 5 = 3x + 4
12x = 3x - 1
9x = -1
r
9x
-
9
Darry and his dad baked 4 apples for the family reunion. They cut each pie into eights.
Answer:
that is a lot of pie
Step-by-step explanation:
For what value of ‘a’ the number
7
/a
is not a rational number
Answer:
zero
Step-by-step explanation:
Answer:
0 is a value of a for 7/a to make irrational number.
A function f(x) is an EVEN function. If f(4) = 2, which other point must be on the graph of f(x) ?
Gabi wants to buy a flat.
The cost of the flat is £175 000
The bank uses this formula to work out the mortgage Gabi can get.
M= 4.625A
M= mortgage (£)
A = annual income (£)
Gabi has an annual income of £34 000
She will have to pay a deposit for the flat.
The deposit is the difference between the cost of the flat and the mortgage.
a) Work out the deposit that Gabi will have to pay.
A car manufacturer is designing a new vehicle in either a two-door or four-door model. The vehicle can be ordered in six different colors and two different interior designs. What is the total number of option combinations of this vehicle the car manufacturer can make?
Answer:
24
Step-by-step explanation:
Given the following car options :
Number of doors = (2 - door, 4 - door) = 2 options
Color = 6 different options
Interior design = two options
To obtain the total Number of option combination ; we apply the rule of product;
Number of door option * Number of color option * number of interior design option
(2 * 6 * 2) = 24 different option combination can be made by the manufacturer.
please help picture below
Answer:
4 cups
Step-by-step explanation:
Given the point (8, 1 )
This tells us that 1 cup can be filled using 8 fluid ounces
Divide 32 by 8 to find number of cups
32 ÷ 8 = 4
Then 4 cups can be filled from 32 fluid ounces
Plot the point (32, 4 ) on the grid
Answer:
1). 4 glasses
2). The graph of a line whose equation is; y = [tex]-\frac{1}{8}x + \frac{63}{64}[/tex]
Step-by-step explanation:
The container has 32 fl oz of orange juice.
He is filling glasses with the juice; such that each glass will hold one cup of the juice.
From the graph, 8 ounces of juice goes into one cup (equivalent of one glass)
So we expect Enrique to fill 32 ÷ 8 = 4 glasses
The graph is the line passing through points (8,1) and (32,4) whose equation is;
y = [tex]-\frac{1}{8}x + \frac{63}{64}[/tex]
Please help its probably going to be easy
Answer:
n(k + m) = number of fruits
Step-by-step explanation:
n(k + m)
Remember that the fruits combined would be k + m.
Then to find the total, you would need to multiply by the number of plates, which is n. Therefore, you would get n(k+m) to showcase the total amount of fruits on the table.
Find the height of a pyramid with
a volume of 128 cm3 if the base is
a square with a side length of
8 cm.
Answer:
height:6
if the base is a square that means all the side lengths are equivalent so it would be 8 for side lengths, and the volume is 128. plug it in with the formula to get 6
The height of a pyramid is 8cm
How to find the volume of a square based right pyramid?Supposing that:
The length of the sides of the square base the pyramid has = b units
The height of the considered square based pyramid = h units,
Then, its volume is given by: [tex]V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3[/tex]
Given;
The volume of pyramid= 128cm3
Length of side of square base= 8cm
Now,
128=1/3 x 8x8xh
128= 64/3 xh
h= 128x3/64
h=8
Therefore, the height with the volume 128cm3 will be 8cm
Learn more about volume of pyramid here:
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An ice cream cone has a radius of 2 1/2 inches and a height of 6 inches. Find the volume of the ice cream cone in cubic inches.
V = 1/3 * pi r^2 h
V = 1/3 * pi * 5/2^2 * 6
V = 1/3 * pi * 25/4 *6
V = 2 * pi *25/4
V = 25/2 pi
Answer: (12.5*pi)in^3 or 39.27 in^3
Complete the steps to solve the equation - 12x - 14 = - 86.
- 12x - 14 = - 86
- 12x =
Write the original equation.
Apply the Addition Property of Equality.
Apply the Division Property of Equality.
X =
I just need the answers for what -12x= and x=
Answer:
x=6
Step-by-step explanation:
-12x-14=-86
-12x+12=+14
-12x=-72
-12/-12x=-72/-12
x=6
Find the vertex and focus of the
parabola.
x2 + 6x – 8y + 1 = 0
Answer:
Step-by-step explanation:
Vertex: -3, -1
Focus: -3, 1
Vertex of the parabola is (-3,-1)
Focus is (-3,1)
What is the vertex form of parabola?The standard form of the parabola is given by y = ax2 + bx + cThe vertex form of the parabola is y-k = a(x - h)^2vertex of the parabola is (h,k)Focus of the parabola is (h,k+p)Given parabola equation is x^2+6x-8y+1=0
x^2+6x = 8y-1
x^2+6x+9 = 8y-1+9
(x+3)^2 = 8y+8
(x+3)^2 = 8(y+1)
(y+1) = 1/8 (x+3)^2
Here vertex V(h,k) = (-3,-1)
Focus = (-3,1)
Hence, Vertex of the parabola is (-3,-1)
Focus of the parabola is(-3,1)
Learn more about parabola here:
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Which equation has the solution to ×=8 answer choices in the PICTURE will mark Brainliest if answered correctly
Answer:
6h/top left
Step-by-step explanation:
count the number of hs. In this case there are 6 so it is 6h
Step-by-step explanation:
h+h+h+h+h+h is equivalent to 6h
What are the roots of the equation?
6x3−12x2−48x=0
{0, 2, 4}
{−4, 0, 2}
{−4, −2, 0}
{−2, 0, 4}
Answer:
{−2, 0, 4}
Step-by-step explanation:
[tex]\displaystyle 6x^3 - 12x^2 - 48x \\ 6x[x^2 - 2x - 8] \\ 6x[x + 2][x - 4] \\ \\ 0, 4, -2 = x[/tex]
I am joyous to assist you at any time.
The roots of the cubic polynomial 6x³ - 12x² - 48x = 0 are -2, 0 and 4.
What is the degree of a cubic polynomial?
The degree of a cubic polynomial is 3. Degree of a polynomial is the highest power of the variable in that polynomial. In cubic polynomial, the variable [x] has the highest power of 3 (x³).
Given is the following cubic polynomial -
6x³ - 12x² - 48x = 0
In order to find the roots of this cubic equation, we will plot its graph. The number of y - intercepts [coordinates where the graph cuts the x axis] will give us the roots or zeroes of the polynomials. The degree of a cubic polynomial is [3], therefore the number of zeroes of this cubic polynomial will be 3. Refer to the graph attached, it can be seen that the graph cuts the x-axis at three points -
x = -2, 0, 4
Which are the roots of this cubic polynomial 6x³ - 12x² - 48x = 0.
Therefore, the roots of the cubic polynomial 6x³ - 12x² - 48x = 0 are -2, 0 and 4.
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A deli clerk has lunchmeat formed in the shape of a cylinder with a radius of 2 inches and a height of 4 inches. He divides the lunchmeat into two equal sections by making a vertical cut as shown below. What is the shape of the cross section formed by the vertical cut?
Answer:
The shape of the cross-section is a square
Step-by-step explanation:
Given
[tex]r =2[/tex]
[tex]h = 4[/tex]
See attachment
Required
The shape of the cross-section
From the attachment, we can see that when the cylinder is cut vertically, the shape formed is a quadrilateral of equal opposite sides.
The dimension of the shape is: the height of the cylinder and the diameter of the base circle
From the given parameters, we have the radius and the height to be:
[tex]r =2[/tex]
[tex]h = 4[/tex]
The diameter (d) is:
[tex]d = 2 * r[/tex]
[tex]d = 2 * 2[/tex]
[tex]d = 4[/tex]
So, the dimension is:
[tex]h = 4[/tex] and [tex]d = 4[/tex]
Since the height and the diameter have the same lengths, then the shape is a square.
what is this?
Khan Academy
Answer:
slope = -8/3 (-8 over 3)
Step-by-step explanation:
rise over run
rise is negative since the line is going down = -8
run = 3
hi im spamming the homework questions i got wrong someone help??
Answer:
55
Step-by-step explanation:
Since angle Arc AC and angle X lies on the same same straight line,
[tex]angle \: arc \: ac \: + \: angle \: x \: = 180 \\ 125 + x = 180 \\ x = 180 - 125 \\ = 55[/tex]
Answer:
it is 245 because the degrees for circle is 360
Step-by-step explanation:
360-125=245
4. A kennel has 50 dogs in total, some are
puppies and some are adult dogs. The ratio of
puppies to adult dogs in a kennel is 1 :4. How
many puppies are there?
Help me here with my math question.
Answer:
B
Step-by-step explanation:
When solving a quadratic equation, what do the x-values stand for as it relates to plotting the graph of the equation?
a.
x-intercepts
c.
minimum value
b.
vertex
d.
axis of symmetry
NOT D
x means an axis of symmetry
Answer:
the answer should be 'd'
PLEASE HELP MEEE
Find the value of a in the parallelogram
A=18
A=9
A=14.5
A=16
Answer:
(6a-4)°=(2a+68)°
6a-2a=68+4
4a=72
a=72/4
a=18
Answer:
The answer is 18. (A)
Step-by-step explanation:
Let me know if this helps
Find angle PRS in the image above
Answer:
142°
Step-by-step explanation:
HELP PLZ questions in pictures above
Answer:
S1) False. 2³ is 2 × 2 × 2 which is 8, not 6.
S2) False. ( 2x / 3y ^ (2) ) ^ (3) =
( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y⁶ = 8x³ / 27y⁶.
i.e (a^b)^c = a^(b × c).
S3) True.
S4) True.
S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x
Help, how do I solve this
Jerry borrowed $4000 for 5 years at 6X simple
interest rate. What will be the total amount that
Jerry paid after 5 years?
Answer:
qqqqqqqqqq
Step-by-step explanation:
Answer:
In this question one has to look forward to the information's already given. Based on those given information's the answer to the question can be easily determined.
Principal amount = $4000
Time for which money is borrowed = 5 years
Rate of interest = 6%
Then
Amount of Interest = Principal * Rate * Time
= 4000 * 6% * 5
= 4000 * 6/100 * 5
= 40 * 30
= 1200 dollars
So the amount of interest that needs to be given is 1200 dollars. I hope the naswer and the procedure is clear enough for you to understand.
It's Math please help?
Answer:
A) 255 meters; B) 172
Answer:
A: 145m
B: 172 m
Step-by-step explanation:
This one-dimensional figure goes on forever in two directions.
A. Line segment
B. line
C. Ray
Answer:
hi:}
Step-by-step explanation:
15
i’m not good at math.
A. 90
B. 130
C. 140
D. 50
Answer:
SHOULD be 140.
Step-by-step explanation:
A truckload of cement weighs approximately 3
9 pounds. The driver of the truck weighs 3
5
pounds. The truckload of cement weighs how many times more than the driver?
Answer:
Step-by-step explanation:
I need help with this problem:(
Answer:
8
Step-by-step explanation:
According to Euclidean theorem
m^2 = 4×16
m^2 = 64
m = 8
-8/-33 convert
into a decimal
Answer and Step-by-step explanation:
This fraction as a decimal is 0.24 repeating, which means the decimals keeps repeating the numbers 24 after the decimal place.
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