Here's the solution in attachment :
Solve:
3(4 - 2x) = -x +1
13
X =
5
O B. x = 11
O C. x= -1
x-5
D. X
Step-by-step explanation:
[tex]3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ [/tex]
The solution of the equation is x = 11/5
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The given equation is,
3 (4 - 2x) = -x + 1
We have to solve the equation.
Distributive property states that, for three numbers, a, b and c,
a(b + c) = ab + ac
So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)
= 12 - 6x
Substituting,
3 (4 - 2x) = -x + 1
12 - 6x = -x + 1
-6x + x = 1 - 12
-5x = -11
x = 11/5
Hence the solution is x = 11/5.
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How much will it cost to fill a 50 L gas tank
at $1.33 per liter?
Answer:
$66.50.
Step-by-step explanation:
50 L · $1.33/L = $66.50
Solve for x !!!!plzzzzz
Answer:
12x-4=80
12x=80+4
=84
x=84÷12
=7
Luke has a crate with a volume of 2160 cubic inches. The crate is 12 inches long and 18 inches high. Luke wants to put wooden boards into the crate. Each board is the same size as the board shown in the diagram.
18 blocks would fit in the Crate.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
Volume of Crate= 2160 cubic inch
Now, Volume of each wooden board
= l b h
= 12 x 5 x 2
= 120
so, number of blocks = 2160/ 120
= 18
Hence, 18 blocks would fit in the Crate.
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Luke can fit 18 wooden boards, each measuring 12 inches in length, 5 inches in width, and 2 inches in height, into the crate with dimensions 12 inches in length, 10 inches in width, and 18 inches in height.
Given that the crate has a volume of 2160 cubic inches and the dimensions are 12 inches in length, 18 inches in height, and an unspecified width.
Each wooden board has dimensions of 12 inches in length, 5 inches in width, and 2 inches in height, we can calculate how many wooden boards Luke can fit into the crate.
Let's denote the width of the crate as "w".
The volume of the crate is given by the formula: Volume = Length × Width × Height
So, 2160 = 12 × w × 18
Solving for "w":
w = 2160 / (12 × 18)
w = 10
Now that we know the width of the crate is 10 inches, we can calculate how many wooden boards can fit in the crate by comparing their dimensions.
Each wooden board has a volume of 12 × 5 × 2 = 120 cubic inches.
The total number of wooden boards that can fit in the crate:
Number of boards = Crate Volume / Board Volume
Number of boards = 2160 / 120
Number of boards = 18
Therefore, 8 blocks would fit in the Crate.
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Which of the following is a rational number?
square root of 2, square root of 3, square root of 4, and square root of 5
square root of 2
square root of 3
square root of 4
square root of 5
Answer:
The answer is C (square root of 4)
Step-by-step explanation:
Answer:
The answer is C (square root of 4)
Step-by-step explanation:
Because you
Help! How to factorise= x²-5x+6?!!!!!!
Answer:
(x − 2)(x − 3)
Step-by-step explanation:
x² - 5x + 6
(x − 2)(x − 3)
13. A manager is comparing the drive-through service times for two fast-food restaurants, and the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the two samples, then
compare the two sets of results
Restaurant A 120 123 153 128 124 118 154 110
Restaurant B 115 126 147 156 118 110 145 137
Restaurant A: 44 sec; 298.34 sec?; 17.27 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant A.
Restaurant A: 44 sec; 260.79 sec?; 16.15 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Restaurant A: 44 sec; 260.79 sec2; 16.15 sec
Restaurant B: 46 sec; 245.64 sec?; 15.67 sec
There is more variation in the times for restaurant A.
Restaurant A: 46 sec; 260.79 sec2; 16.15 sec
Restaurant B: 44 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Answer:
The answer is A.
Step-by-step explanation:
Fill in the blanks in order to justify whether or not the mapping shown represents a function
I need help with this questions
Answer:
Step-by-step explanation:
Well when u think about it u can just make a bunch of things by mixing them around I made about 13
red,yellow,orange
Yellow,orange red
orange,red,yellow
yellow,red,orange
orange,red yellow
red,orange yellow
A'b
b,a
2,1
1,2
a,a
b,b
2,2
Step-by-step explanation:
you already have 13 inside your question have u tried to use those?
plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
25 and 55
Step-by-step explanation:
Let's call the larger number L and the smaller S
L = 5 + 2×S
And the sum is:
L + S = 80 Subtract S in both sides:
L = 80 - S
Now, substitute this value of L in the first equation:
80 - S = 5 + 2×S Add S in both sides:
80 = 5 + 2×S + S
80 = 5 + 3S Subtract 5 in both sides
75 = 3S Divide both sides by 3
25 = S
We find the value of S, and now we substitute it in the second equation to find the value of L:
L = 80 - 25
L = 55
please someone help
100 points
Answer:
where is the question on which topic
The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.
Answer:
[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?
Plz show work and i will be so grateful
Answer:
35 hours during week pay: 498.75
2.50 more on weekends
Lets us find unit rate
498.75/35= 14.25
14.25 dollars on weekday add 2.50 and...
16.75 dollars is pay per hour on weekends
16.75*6= 100.5
100.5+498.75=
599.25 dollars
Step-by-step explanation:
Answer:
512.75$
Step-by-step explanation:
2.50 x 6 = 15.00$
So, add 15 to 498.75 by using standard algorithm.
Your result should be 512.75$
Therefore, your answer would be 512.75$
-kiniwih426
Using Substitution solve: y=x+5
4x+y=20
Answer:
3
Step-by-step explanation:
So first, plugin y to your equation, it should look like this: 4x+x+5+20. Now, we can solve this. Next, we have two x's so we can combine them. The equation will now look like this: 5x+5=20. Now, we have an extra 5 laying around that we need to get rid of, so we can subtract that 5 to both sides of the equation and we get this: 5x-5=20-5 which ends up being 5x=15. Now, we just divide both ides by 5 and since 15 divided by 5 is 3, we get: x=3
| x/3 | = 3 Absolute Value Equations if someone could please explain to me how to do this it would be much appreciated.
Answer:
Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. ... So when we're dealing with a variable, we need to consider both cases.
1. Please Determine the equation of the line from the tables and the graphs.
1. find equation of line with given data :
b) from the given table, we get y - intercept (c) = -4
now let's find slope (m) :
[tex] \dfrac{y_2-y_1}{ x_2 - x_1}[/tex][tex] \dfrac{0 - ( - 2)}{10 - 5} [/tex][tex] \dfrac{2}{5} [/tex]so, the required equation will be :
[tex]y = \dfrac{2}{5} x - 4[/tex]c) from the given graph we can see that y - intercept (c) = 3
now, let's find the slope (m) :
[tex] \dfrac{3 - 0}{0 - 7} [/tex][tex] - \dfrac{3}{7} [/tex]the equation will be :
[tex]y = - \dfrac{3}{7} x + 3[/tex]d) From this graph we get y - intercept (c) = -4
slope :
[tex] \dfrac{4 - 0}{4 - 2} [/tex][tex] \dfrac{4}{2} [/tex][tex]2[/tex]so, required equation will be :
[tex]y = 2x - 4[/tex]Find the unit rate. Round to the nearest hundredth, if necessary,
$2.99 for 15 lb
The unit rate is $
Иb.
Answer:
$0.20/lb
Step-by-step explanation:
2.99/15 = 199333
.20/lb
There were 45 runners to start a race. In the first half of the race,2/3 of them dropped out. How many runners finished the race?
Does anyone know this answer????
Please and thank you
Answer:
cat is 6 pumpkin is 12 pot is 14 so 6+14-12=8
Step-by-step explanation:
The density of a certain material is such that it weighs 2 kilograms per quart of volume. Express this density in grams per pint.
Answer:
1000 grams per pint
Step-by-step explanation:
2 kg / qt * (1 qt / 2 pints) * (1000 grams/ kg ) = 1000 grams /pint
1. Tính:
a) 2x*(2x^2-3x+5)+6x^2
b) (2+x)*(2-x)-4
c) (x+5)^2-10x
2. Tìm x, biết:
a) 3*(x^2-2x+1)=3x^2+3
b) (3-x)^2-(x-1)*(2+x)=0
Answer:
1.b (2+x)*(2-x)-4
2.a 3*(x^2-2x+1)=3x^2+3
Which ordered pairs is a solution to -5x + 3y > 12?
(3,9)
(-5,5)
O (3.-6)
D(-2.-5)
(2.8)
(-6.0
9514 1404 393
Answer:
(-5, 5), (2, 8), (-6, 0)
Step-by-step explanation:
It is convenient to graph the solution, then plot the points to see which fall in the solution area.
The point (3, 9) falls on the boundary line, which is not part of the solution set.
The points that are solutions are ...
B(-5, 5)
E(2, 8)
F(-6, 0)
r(x)=2 square root x s(x)=square root x
(rs)(4) =
(r/s)(3)=
Answer:
rs)(4)=(2rootX)(rootX)
(rs)(4)=2x
(rs)(4)=8
(r/s)(3)=(2rootX)/(rootX)
(r/s)(3)=2
Step-by-step explanation:
1 Which of these equations has infinite
many solutions
6(x+3)+x=7x+2+1
6(x+3)+x=7x+5
6(x+ 3) +x=6x+3+15
6(x+3)+x=7x+9+9
Answer:
Is, 6x+18+x=7x+2+1
7x+18=7x+2+1
If Tristan wants to stretch the spring by 9 inches, how many kilograms of weight must he apply to it?
Answer:
Step-by-step explanation:
Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:
y = 3x
9 = 3x.
Divide both sides of the equation by 3:
[tex]\frac{9}{3}[/tex] = [tex]\frac{3x}{3}[/tex]
3 = x
The spring stretches 9 inches with 3 kilograms of weight attached to it.
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced? STEP BY STEP
Answer:
The price was reduced by 25%
Step-by-step explanation:
Not sure how to go step by step on this, because it's kinda obvious once you think about it a bit. You need to find what percent of 40 that 10 equals (if that makes sense). So really it's just what percent of 40 equals 10? and since 10 is one fourth of forty, 1/4, then you convert that to percent: 25% (sorry if this made no sense, i'm not very good at explaining things)
Monica’s dog weighed nineteen and four hundred fifteen
thousandth pounds. How do you write this number in decimal
form?
Answer:
19.0415
Step-by-step explanation:
Answer:
19.0415
Step-by-step explanation:
5x-4=11
Can anyone answer this for me
Answer:
3
Step-by-step explanation:
5x=11+4
5x=15
x=15/5
x=3
Answer:
x=3 is the answer.
What is the answer to b plus 4 does it remain he same or it becomes fiveb
Answer:
it remains the same because you can only add like terms, and in this case, b and 4 are not like terms.
Step-by-step explanation:
Use the figure to find the measures of the numbered angle.
Answer:
angle 1 = 61°
angle 2 = 119°
angle 3 = 61°
angle 4 = 119°
angle 5 = 119°
angle 6 = 61°
angle 7 = 119°
Step-by-step explanation:
angle 1 = 61° (corresponding angles are always equal)
angle 1 + angle 2 = 180° (linear pair)
=> 61° + angle 2 = 180°
=> angle 2 = 180° - 61° = 119°
angle 2 = 119
angle 1 = angle 3 = 61° (vertically opposite angles are equal)
angle 2 = angle 4 = 119° (vertically opposite angle are equal)
angle 4 = angle 5 = 119° (interior opposite angles are equal)
angle 6 = 61° (vertically opposite angles are equal)
angle 5 = angle 7 = 119° (vertically opposite angles are equal)
Hope it helps :)