Hey there!
6(2x - 6) + 2(13 - x) = 10
6(2x) + 6(-6) + 2(13) + 2(-x) = 10
12x - 36 + 26 - 2x = 10
10x - 10 = 10
ADD 10 to BOTH SIDES
10x - 10 + 10 = 10 + 10
SIMPLIFY IT
10x = 10 + 10
10x = 20
DIVIDE 10 to BOTH SIDES
10x/10 = 20/10
SIMPLIFY IT
x = 20/10
x = 2
Therefore, your answer should be:
Option D. x = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
you make 12 equal payments. you pay a total of $1224. How much is each payment
simplify the square root of 217
Answer: 14.73091
Step-by-step explanation:
The square root of 217, (or root 217), is the number which when multiplied by itself gives the product as 217. Therefore, the square root of 217 = √217 = 14.730919862656235.
I need help with this
Answer:
convert 10 hours 30 minutes to hours= 10.5
683/10.5
=65.04km/h
(2^3×2^4) simplify and expression 7th grade.
The simplified expression of (2^3×2^4) is 2^7
How to evaluate the expression?The expression is given as
(2^3×2^4)
The base of the above expression are the same
i.e. Base = 2
This means that we can apply the law of indices
When the law of indices is applied, we have the following equation:
(2^3×2^4) = 2^(3 + 4)
Evaluate the sum in the above equation
So, we have
(2^3×2^4) = 2^7
Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7
Read more about expressions at
brainly.com/question/4344214
#SPJ1
If a construction crew paved 9680
yards of road, how many miles of road
did they pave? (1760 yards = 1 mile)
Answer: m = 5.5
Step-by-step explanation:
9680 / 1760 = m
m = 5.5
Graph the function identify the vertex and axis of symmetry f(x)=x^2+4x-2
A. axis of symmetry:x=2
(2,6)
B. axis of symmetry: x= -2
(-2,6)
C. axis of symmetry: x= 2
(2,-6)
D. axis of symmetry: x=-2
Vertex: (-2,-6)
The vertex and the axis of symmetry are (-2, -6) and x = -2, respectively
How to determine the vertex and the axis of symmetry?The equation of the function is given as
f(x) = x^2 + 4x - 2
The above equation is a quadratic equation
Next, we plot the equation on a graph (see attachment)
The vertex of the graph is the minimum or the maximum of the graph
In this case, we have
Minimum= (-2, -6)
This means that
Vertex = (-2, -6)
The axis of symmetry is the x-coordinates of the vertex
So, we have
x = -2
Hence, the vertex is (-2, -6) and the axis of symmetry is x = -2
Read more about quadratic equation at
https://brainly.com/question/15709421
#SPJ1
a = 5.2 cm and B = 67°.
Work out the area of the triangle. Round
your answer to 1 DP.
The area of the triangle for the given parameter is 12.4 squared cm.
How to calculate the area of the triangle?
In mathematics, the area of the triangle is classified into three forms isosceles, scalene and equilateral. Depending upon the sides of the triangle, it is classified. That means, when the two sides are equal then the triangle is isosceles triangle.
According to the question, the given parameters for the calculation of the area of the triangle is as written below:
Side of the triangle(a) = 5.2 cm. Angle of a triangle(B) = 67°.
Using standard formula for the area of the triangle, we get:
Area of the triangle = (1/2)(5.2)(5.2)sin(67°) = 12.4384 = 12.4 squared cm.
Hence, the area of the triangle for the given parameter is 12.4 squared cm.
To learn more about the area of the triangle from the given link:
https://brainly.com/question/23945265
#SPJ9
What is the total number of Goals Scored in all 10 games combined? *
Number of goals
0
1
2
3
Your answer
Frequency
3
4
2
1
Based on the information given, the total number of Goals Scored in all 10 games combined is 11 goals.
How to illustrate the information?It should be noted that in Mathematics, frequency simply has to do with the number of occurence that an event has based on the data or the information that's illustrated.
Based on the information given, it should be noted that the number of goals as well as the frequency are given. This will be illustrated we:
Total number of goals will be:
= (0 × 3) + (1 × 4) + (2 × 2) + (3 × 1)
= 0 + 4 + 4 + 3
= 11 goals
Therefore, 11 goals are scored.
Learn more about numbers on:
brainly.com/question/148825
#SPJ1
The simplest form for 2(x + 3) + 3(2x -3)
Answer: 8x-3
Step-by-step explanation
2x + 6 + 6x - 9
8x - 3
Answer:
8x - 3
Step-by-step explanation:
2(x+3) + 3(2x-3)
2x+6 + 6x-9
2x+6x + 6-9
= 8x - 3
7653x213, please help me....
Answer:
Step-by-step explanation:
1630089 is the answer
Pls help me and show steps too, I’m so lost. I’m giving a lot of points
Answer:
x=16
Step-by-step explanation:
I apologize I have not done geo in a while so I am not sure what the theorem is, but there is a theorem that states that when a transversal intersects with two parallel lines, two angles that are facing the same direction are the same angle. (the two white angles that i have marked are equal)
next, two lines that intersect each other will have the same angle measurements on opposite sides (the green marked angles are equal)
so that means 3x - 8 = x + 24
and when you simplify that, you get 2x = 32 ---> x = 16
PLS ANSWER PART (f) ASAP
There are a total of 54 men.
Let's take x new men who joined the club, then according to the question (22-x) new women who joined the club.
[(98 × (5 ÷ 5 + 9)) + x ÷ [(98 × (9 ÷ 5 + 9)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11
[(98 × (5 ÷ 14)) + x ÷ [(98 × (9 ÷ 14)) + (22 - x)] ÷ [(98 × (9 ÷ 5 + 9)]= 9 ÷ 11
[35 + x] ÷ [63 + (22 - x)] = 9 ÷ 11
11 × (35 + x) = 9 × (85 - x)
385 + 11x = 765 - 9x
11x + 9x = 765 - 385
20x = 380
x = 19.
Therefore, 19 new members have joined the club.
So, Step 10: 10 + (98 × (5 ÷ 5 + 9)) = 19 + 35 = 54.
Learn more about ratio problems at
https://brainly.com/question/22825722?referrer=searchResults
Answer:
19
Step-by-step explanation:
Originally there are 98 members
Ratio of men to women = M:W = M/W = 5/9
The ratio of men to total number of members = M/(M + W) and this should be the same as 5/(5+9) = 5/14
Since 5/14 th of the total membership of 98 members is the number of men,
Actual number of men
= 98 x (5/14)
= 35
After 22 members join the club, the total club membership is 98 + 22 = 120
The new ration M/W = 9/11
Actual number of men members
= 120 x 9/(9+11)
= 120 x 9/20
= 6 x 9
= 54
Increase in the membership of men = 54 - 35 = 19
Area of a triangle with a vertical height of 1/2 m and base of 1/4 m.
Answer:
1/16 squared meters
Step-by-step explanation:
The formula to find the area of a triangle is [tex]\frac{Base * Height}{2}[/tex]
We can form an equation if we substitute the values (base and height).
[tex]\frac{1/2*1/4}{2}[/tex]
1/2 * 1/4 = 1/8
and [tex]\frac{1/8}{2}[/tex] = 1/16
Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.
3.
Find the area of sector AOB. Round to the nearest tenth.
2
1.
A
18 cm
0
70°
4 ft
쏭
What is the answer for all three of those help
40%
1 mm
A
B
Area
Area =
C
Area =
mm²
an elevator can carry 15 adults or 20 children at one time. During the course of a day, the elevator carries a full passenger load 52 times. if all the passengers were children, how many more people would the elevator carry then if all the passengers were adults
Answer:
Step-by-step explanation:
20(kids per ride) x 52(number of rides) = 1040. 15(adults per ride) x 52(number of rides) = 780. 1040-780= 260 more kids than adults.
-0.6 as a fraction in simplest form
By dividing and multiplyinh the decimal by 10, we will see that:
-0.6 = -6/10
How to write the decimal as a fraction?Here we have the following decimal: -0.6
And we want to write it as a fraction.
To do so, we just need to multiply it and divide it by 10 as many times as digits we have after the decimal point. In this case we have only one digit after the decimal point, so we multiply and divide by 10 only once.
-0.6 = -0.6*(10/10) = (-0.6*10)/10 = -6/10
That is the fraction form of the given decimal.
Learn more about fractions:
https://brainly.com/question/11562149
#SPJ1
alex has a circular rug the radius of the rug is 5 1/4 feet which is closest to the area of the rug use 22/7
The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².
How to calculate the area?It should be noted that the area of a circle is given the formula:
Area of a circle = πr²
where π = 22/7
r = radius = 5 1/4
Therefore, the area will be:
Area = πr²
Area = 22/7 × (5 1/4)²
Area = 22/7 × 25 1/16
Area = 86.625 feet²
The area is 86.625 feet².
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Each of my children has at least two
brothers and one sister. Find the least
number of children I might have.
Answer:
4 kids.
Step-by-step explanation:
There could be 2 boys and 2 girls. Each of the 2 boys has at least one sister, and each of the 2 girls has at least two brothers.
Hope this helps!
What is the domain of this relation?
Answer:
{-4, 0, 2, 5}
Step-by-step explanation:
The domain of a relation in a graph is a list of all the x values from the points plotted on it.
Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)
Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)
Good luck on your math journey! ^-^
f(x) = 3 x + 1 and g (x) = 2x - 3. find g (f(x))
Answer:
6x -- 1
Step-by-step explanation:
To Solve for g(f(x)), bear in mind
f(x) = 3x + 1
g(x) = 2x -- 3
g(f(x)) = 2x -- 3. (Calm down right?)
Let x = f(x).
if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)
g(f(x)) = 2(3x + 1) -- 3
g(f(x)) = 6x + 2 -- 3
g(f(x)) = 6x -- 1
#AllonGod
Answer:
Step-by-step explanation:
To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).
1. First, identify the x in g(x) and replace it with the function of f(x)
g(x)=2x-3; so g(f(x))= 2(3x+1) -3
2. Simplify the equation by distributing the 2 and combining like terms.
2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with
g(f(x))=6x-1
Answer the following. If needed, round your answers to two decimal places.
Roza and Rina are in the same maths class. On their unit test, Roza scored 70 out of 75
marks and Rina got a 92%.
Express Roza's mark as a simplified fraction.
Express Rina's mark as a simplified fraction.
By what percentage is Roza's mark higher?
%
Answer:
1) 14/15
2)23/25
3) 1.33%
Step-by-step explanation:
-12/x = 24/8 what does x equal
Simply 24/8 to 3.
-12/x = 3
Since x is the number being divided, we take the divisor and divide it by the quotient.
x = -12/3 = -4.
a rectangular piece of metal is 10 in longer than it is wide. squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 671 in, what were the original dimensions of the piece of metal?
The length and width of the piece of metal are 28 and 18 inches respectively.
What is volume?
The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
Dimension of the rectangle;
Width(w)
Length,L= 10 + w
volume of the box = length * width * height
Dimension of the box;
length of box, (x + 10) - 4 = x + 6
width of box,(x - 4)
height of box = 2
The volume of the box is 672 in³;
⇒V=lwh
⇒V=2 (x -4)( x + 6)
⇒672 in³ = 2x² + 4x - 48
⇒2x² + 4x - 720 = 0
⇒x^2 + 2x - 360 = 0
⇒(x +20)(x - 18) = 0
⇒x = 18
⇒x=-20 (value of the dimension will not be negative.
The width of an original piece of metal is;
Width,w=18 inches
length,l= 28 inches
Hence. the length and width of the piece of metal are 28 and 18 inches respectively.
learn more about of volume here
https://brainly.com/question/2282652
#SPJ4
A 5oz jar of jam costs $2.50. How much is the unit price per ounce?
The unit price per ounce of the jar of jam is $0.50
How to determine the unit price per ounce for the jam?From the question, the given parameters are
Volume = 5 oz
Cost of jam = $2.50
The unit rate of the jam is calculated as
Unit rate = Cost of jam/Volume
Substitute the known values in the above equation
So, we have the following equation
Unit rate = 2.50/5
Evaluate the quotient
So, we have the following equation
Unit rate = 0.5
Hence, the unit price per ounce is $0.50
Read more about unit rates at
https://brainly.com/question/620388
#SPJ1
which fraction is equivalt to 2/10
Answer: 1/5
Step-by-step explanation:
Answer:
[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]
Step-by-step explanation:
[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]
Solve for x: (1 point) negative 9 over 8, multiplied by x minus 7 equals negative 25
Answer:
Step-by-step explanation:
Please help me, I am very confused, I have no idea what to do.
Use the number line below, where RS=9y+3, ST=5y+8, RT=67 a. What is the value of y? b. Find RS and ST.
The value of y on the number line is 4.
How to find the side of a number line?A number line is a series of numbers placed on a straight line in order from least to greatest.
The number line is RT.
The point S is in between RT.
Therefore,
RT = RS + ST
Hence,
RT = 67
RS = 9y + 3
ST = 5y + 8
Therefore,
RT = RS + ST
67 = 9y + 3 + 5y + 8
67 = 9y + 5y + 11
67 = 14y + 11
subtract 11 from both sides of the equation
67 = 14y + 11
67 - 11 = 14y + 11 - 11
56 = 14y
divide both sides by 14
y = 56 / 14
Therefore,
y = 4
learn more on number line here: https://brainly.com/question/17263038
#SPJ1
50 POINTS__ Solve for z and graph the solution.
–7 ≥ z–10 ≥ –14
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of a segment, ray, or line to delete it.
Answer:
Step-by-step explanation:
it costs $45 to rent a car each day there is also a fee of $12. how much does it cost to rent a car for 5 days including fee
Answer:
it would cost $285
Step-by-step explanation:
Answer:
285 po answer
Step-by-step explanation:
Pa brainlest po plsss