Answer:
2x = 36 - 4x
4x 4x
6x = 36
x = 6
The equation be 2x = 36 - 4x then, the value of x = 6.
How to find the value of x?Given: 2x = 36 - 4x
To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
2x = 36 - 4x
Solve the value of x, then
Add 4x to both sides of the equation
2x + 4x = 36 - 4x + 4x
simplify
6x = 36
Divide both sides by 6, then we get
x = 36/6
x = 6
Therefore, the value of x = 6.
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Eli is deciding between two different movie streaming sites to subscribe to. Plan A costs $14 per month plus $2 per movie watched. Plan B costs $10 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Eli watches xx per month, and let B represent the monthly cost of Plan B if Eli watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
put it on a graph
Hope this helps I really tried
By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.
How to get the cost equations?
We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:
C₁(x) = $14 + $2*x
Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:
C₂(x) = $10 + $3*x
Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.
In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.
While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.
If you want to learn more about linear equations, you can read:
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Which one of the following statements about fractions is correct?
Question 9 options:
1/3 is an improper fraction.
9/7 is a proper fraction.
5/16 is a mixed number.
4/4 is equal to 1.
Answer:
4/4 is equal to 1 is the only one that's correct
Step-by-step explanation:
Answer:
4/4 and 1/3 are the correct statements
1. A variable whose value cannot be predicted or set with certainty is a:_____.
a. discrete variable
b. random variable
c. realistic variable
d. simulation variable
2. If chance or uncertainty is present in a system then there is an element of ____ in the decision-making problem.
a. danger
b. security
c. risk
d. difficulty
3. Best case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
4. Worst case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
5. What method is used to generate observations from a distribution?
1. Random Variable
2. Risk
3. Optimistic
4. Pessimistic
5. Im not sure
Perpendicular Bisector Theorem
A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ
=》 PS = 3a
=》 PQ = a + 16
PS = PQ
3a = a + 16
3a - a = 16
2a = 16
a = 16/2
a = 8.
_______
RainbowSalt2222 ☔
1. find the mean of three numbers x, y and z,
a.express x in terms of а, y and z
b find x when a=5, y=2 and z=1
3. y x varies directly as y and inversely as z and x 27, y =9 and z =2
Answer:
i dont know
Step-by-step explanation:
Help plzdsadsadsadsdsa
Answer:
Step-by-step explanation:
9b²c² = (3bc)²
100m²n⁶ = (10mn³)²
I hope I've helped you.
QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.
Answer:
width: 6.5 mlength: 10 mStep-by-step explanation:
Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:
A = LW
65 = (2w-3)(w)
2w² -3w -65 = 0
(2w -13)(w +5) = 0 . . . . . . . factor
w = 6.5 . . . . . . . . the positive solution
2(6.5) -3 = 10 . . . the length of the rectangle
The width of the rectangle is 6.5 meters; the length is 10 meters.
Solve and choose the correct graph
Answer: I would say A.
Step-by-step explanation:
-7(x+3) <= 28 (Divide -7 by both sides)
x+3 <= -4 (subtract 3 by both sides)
x <= -7 (answer)
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
PleaseHelp! Easy math
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
multiply
1 1/2 x 1 1/4=______
Answer:
121/8
Step-by-step explanation:
Simply Multiply.
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
Find the surface area. Enter the exact answer in simplest form.
Answer:
3024π square inches
Step-by-step explanation:
The surface area is the sum of ...
lateral area of the conelateral area of the cylinderarea of the circular baseThe relevant area formulas are ...
A = πrs . . . . . lateral area of cone with radius r and slant height s
A = 2πrh . . . . lateral area of cylinder with radius r and height h
A = πr² . . . . . area of a circle of radius r
The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.
A = πrs +2πrh +πr²
A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²
A = 3024π in² . . . . surface area
Check the picture below.
so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.
[tex]\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi[/tex]
[tex]\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}[/tex]12
what is the expression for 6 times the sum of y and 11
Answer:
6y+66
Step-by-step explanation:
1 2/3 divided by 2 3/4
Answer:
20 / 33
Step-by-step explanation:
Brianlyest plz
Help pls . Thank you
For the first one:
The angle is tan^-1 (-9/2)
From this, you can find the base of the triangle with height 54 in. Then, you can find the base of the triangle with base 74 in. Then you subtract the base of the triangle with height 54 in from the base of the triangle with height 74 in to get x.
no link or bot answer the question
Answer:
2nd box <333
Step-by-step explanation:
PLSSS I NEED HELP WITH MATH.
Answer:
Step-by-step explanation:
Natasha added 13/24 of the bag of soil more than Dina
Dina added 5/6 of the bag of soil
Natasha added 11/8 of the bag of soil
To solve this problem, we will subtract two fractions with unlike denominators.
to find the quantity of soil did Natasha add than Dina
= 11/8 - 5/6
LCM = 24
33/24 - 20/24
= 13/24
SORRY THAT ALL WHAT CAN I SLOVE
A machine packs 180 boxes of cereal in a half-hour. It takes 55 minutes to pack 330 boxes. True or False?
Answer:
True
Step-by-step explanation:
If you divide 180 by 30 you will get 6. then 6 times 5 is 30. If you add 30 to 330 you will get 360. If you take 180 boxes for 30minutes and double. You get 360 boxes in 60minutes. If 5 minutes is 30 boxes. Subtract 30 from 360 and you get 330 in 55 minutes.
dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?
Answer:
15 miles per hour
Step-by-step explanation:
12 miles per hour / 60 mins = 0.2 miles per minute
0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)
at to 2 minutes shes already 0.4 miles ahead of her brother.
he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15
his speed should be 15 miles per hour
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?
Check the picture below.
(9x - 8 ) + (x + 10)+(x+2)
Answer: 11x+4
(simplify?)
Step-by-step explanation:
Remove parentheses.
9x−8+x+10+x+2
Add 9x and x
10x−8+10+x+2
Add 10x and x.
11x−8+10+2
Add −8 and 10.
11x+2+2
Add 2 and 2.
11x+4
Step-by-step-explanation:
Evaluate:
[tex]9x - 8 + x + 10 + x + 2[/tex]
Add the first two terms:
[tex]10 + 2 + x + 2[/tex]
Evaluate:
[tex]10x + x + 2 + 2[/tex]
Add the terms:
[tex]11x + 2 + 2[/tex]
Solution:
[tex]11x + 4[/tex]
ANSWER:
[tex]11x + 4[/tex]
3) Can anyone help me with this?
Answer:
The answer is A.
Step-by-step explanation:
Can I have brainiest?
Which of the following algebraic expressions represents the sum of 7 and one-fifth of x?
A.7.5x
B.7 + 1.5x
C.7 + 0.20x
D.(7 + x) 0.20
Answer:
b
Step-by-step explanation:
b because it say's 1/5 and 7 it do not say negative so yea
HELP WITH THIS PLS :)0000
Answer:
5 to 1 power
Step-by-step explanation:
Answer:
5^(15) or 5 to the 15th power
Step-by-step explanation:
When simplified, both equal to 305175..
Find the inequality represented by the graph
Answer:
y < 3/4 x
(We don't put another number at the end, if the y-intercept is 0, btw.)
Step-by-step explanation:
We know that the line has a positive slope, because it's going upwards to the right.
(We can use rise/run to determine the exact slope: Just go up 3 units and to the right 4 units, starting from the first point. Now we know the slope is 3/4).
Further more we know that the y-intercept is 0, because that's the point in which the line crosses the y-axis.
We also know that since the line is dotted, the sign will be either < or >.
And the shaded area below indictes that y is lesser than, meaning we use this sign <.
Hope this helps you :)
Neeed helppppppppppppppppp
Hello there can you please help y
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
