Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.
Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:
Distributive Property
The first step applies the Distributive Property,
which states that multiplying a number outside the parentheses by the terms inside the parentheses.
Here, we multiply 3 by (x+2),
3(x+2)
= 3 × x + 3 ×2
= 3x + 6
Combining Like Terms
In the second step, combine like terms on both sides of the equation.
On the left side, we have 3x, and on the right side, we have 2x.
We also have constants 6 on the left side and 3 on the right side.
3x + 6 = 2x + 3
Move Variables to One Side
To solve for 'x', we want all the terms with 'x' on one side of the equation.
Here, move the term with 2x to the left side by subtracting 2x from both sides of the equation:
3x + 6 - 2x = 2x + 3 - 2x
Simplify
On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:
x + 6 = 3
Move Constants to the Other Side
To isolate 'x', we need to get rid of the constant term on the left side.
Subtracting 6 from both sides of the equation:
x + 6 - 6 = 3 - 6
Simplify
On the left side, the +6 and -6 cancel out, leaving us with:
x = -3
Final Solution
After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.
This means that if we replace 'x' with -3 in the equation, it will hold true:
3(-3 + 2) = 2(-3) + 3
-3 = -6 + 3
-3 = -3
And that's why the solution to the equation is x = -3.
Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3
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Lucy wants to buy a skateboard that had an original price of $60. It is marked down 30%. She lives in a state that has a 10% sales tax. What is the final price she will pay for the skateboard, including tax?
Answer:
$46.20
Step-by-step explanation:
First you find the markdown price which you can find by doing 60x.7 and you get 42. Then you multiply that by .1 and add that answer to 42 and you have an answer.
Please help me with this question because I am lost
Answer:
C
Step-by-step explanation:
A body is floating in seawater with 2/3 of its volume above the surface. The weight of the displaced water is?
Answer:
The weight of the displaced water is the weight of the body
Step-by-step explanation:
In situations like this, the volume of the displaced water is not important.
However, it should be noted that when a body is immersed (fully or partially) in a liquid, the weight of the displaced liquid is equal to the weight of the body immersed in the liquid.
Since the weight of the body is not given, I'll conclude that the displaced water has the same weight as the body floating on the water.
There were 150 total movies at the store. They sold 70% of their stock. How many did they se
Answer:
They sold 105 movies.
Step-by-step explanation:
70÷100×150
= 0.7×150
= 105
Hope it helps :)
which of the following should one consider when choosing a career?
Answer:
all of the above
have a good day keep working
5 x 7 = 7 x 5
What algebraic property is illustrated above?
A. commutative property of multiplication
B. associative property of multiplication
C. distributive property
D. transitive property
Answer:
A. commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication ,
States that when two numbers are being multiplied, their order can be changed without affecting the product.
Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
using your value of x for question number 11 find the measure of angle h will mark brainiest this is so hard ty so much
Answer:
∠H = 58Step-by-step explanation:
using the value of x = 20 from number 11
solve the angle H
∠H = 3x - 2
plugin the value of x=20 into the equation
∠H = 3(20) - 2
∠H = 58
2x + 3x = 60 for x = 12
True or false
Answer:
true
Step-by-step explanation:
Trust me
Answer:
True
Step-by-step explanation:
2(12)+3(12)=60
24+36=60
The table shows the unit prices for items Darryl
purchased to improve Downtown Deli.
Darryl places an order for 128 ounces of pickles, 24
loaves of bread, and 25 pounds of coffee. What is the
total cost of the order?
$
Answer:
94.85
Step-by-step explanation:
0.20x128=25.60
0.75x24=18.00
2.05x25=51.25
25.60+18.00+51.25= 94.85
Answer:
it is 94.85
explanation:
i took this applications of unit rate test trust me. :D
The formula = 21+ 2m is used when calculating:
a area of a rectangle
C area of a circle
b. perimeter of a rectangle
d circumference of a circle
Which number is a factor of 20 but not a multiple of 10
Answer:
4 is a factor of 20 but not a multiple of 10
Follow me welcome.
Identify if each given value is a zero of the equation 0=18c3−50c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]18 {c}^{3} - 50c = 0 [/tex]
[tex]2c(9 {c}^{2} - 25) = 0 [/tex]
[tex]2c(3c + 5)(3c - 5) = 0[/tex]
_________________________________
[tex]2c = 0[/tex]
[tex]c = 0[/tex]
_________________________________
[tex]3c + 5 = 0[/tex]
[tex]c = - \frac{5}{3} \\ [/tex]
_________________________________
[tex]3c - 5 = 0[/tex]
[tex]c = \frac{5}{3} \\ [/tex]
Done...
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The only zero of the equation 0=18c³−50c is c = 0, as it makes the equation true when substituted.
value is a zero of the equation 0 = 18c³ - 50c,
putting in the value for c
If c = 0:
0 = 18(0)³ - 50(0)
0 = 0 - 0
0 = 0 (True)
If c = 2:
0 = 18(2)³ - 50(2)
0 = 18(8) - 100
0 = 144 - 100
0 = 44 (False)
If c = -1:
0 = 18(-1)³ - 50(-1)
0 = 18(-1) + 50
0 = -18 + 50
0 = 32 (False)
only c = 0 is a zero of the equation 0 = 18c³ - 50c.
The equation 0 = 18c³ - 50c has only one zero, which is c = 0, as it satisfies the equation when substituted.
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Convert the fraction to a decimal: 1/6 =
Answer:
1/6 as a decimal is 1.66 or 1.6 repeating.
only answer 5 and 6 for brainliest
Answer:
5. Midpoint: (3.5,0.5)
Quadrant: 1st
6. Midpoint: (-5,0.5)
Quadrant: 2nd
Answer:
1.
midpoint: (3.5, 0.5)
Quadrant: 1
2.
midpoint:(-5, 0.5)
Quadrant: 2
hope this helps :)
Step-by-step explanation:
Find the quotient below. Write the answer as a fraction in the simplest form 7 1/2 divided 5/6
Answer:
9
Step-by-step explanation:
steps for dividing mixed numbers.
Change every mixed number to an improper fraction.
Multiply the reciprocal of the divisor, simplifying if possible.
Put answer in lowest terms (or simpliest form)
Check to be sure the answer makes sense.
3(a – 7) = -9 + 3a.
Answer:
0=12
No Solution
Step-by-step explanation:
Hope this helps (:
Look at the attachment
Please help ASAP in math I have a picture
Answer:
x = 25
Step-by-step explanation:
Those 2 angles together form a straight line which is equal to 180°. So you can set up an equation:
3x + 18 = 93
-18 -18
3x = 75
Divide both sides by 3
x = 25
FIRST RIGHT GETS BRAINLIEST
Find the equation of the line that passes through the point (-3, -4) and (5, -4)
Answer:
y=-4
Explanation:
you have to use the equation y₂-y₁/x₂-x₁ and what ever answer you get from this equation will be your slope
Vertex (3,2) and point(2,-3) written in vertex form
Answer:
which principle prevents a brach from abusing its power
Step-by-step explanation:
which principle prevents a brach from abusing its power
Given f(x) = -x + 7, find x when f(x)= -4
Answer:
x = 11
Step-by-step explanation:
f(x) = -x + 7
f(x) = -4
Using substitution, -x + 7 = -4
Then you can solve from there
-x + 7 = -4
-x = -11
x = 11
Hope this helps!
(I apologize if I'm incorrect)
What’s another name for plane P?
Answer:
DAB is correct if you have the option for it. if not can you post the possible answers?
rewrite 2-2/3x=3/4 so it does not have fractions.
Answer:
I'm guessing you convert to decimals?
2-0.666666667x=0.75
Let me know if that is wrong
Stay Safe,
evancorral7
please help me asap
7. option 2 : 104
8. option 4 : 54
9. option 2 : 23
10. option 2 : 6
11. option 2 : 6
Which of the following describes the location of the opposite of the number that R represents on this line?
vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed onthe 6th tick mark below the 0.
At a distance of 6 tick marks below 0
At a distance of 6 tick marks above 0
At a distance of 12 tick marks below 0
At a distance of 12 tick marks above 0
PLEASE HELP I REALLY NEED IT
Answer:
B
Step-by-step explanation
Answer:
A
Step-by-step explanation:
Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0
What is the slope of this line?
Enter your answer as a fraction in the simplest term in the box.
Answer:
1/4
Step-by-step explanation:
-9x + 1 = - 80 Find the value of x
Answer:
Step-by-step explanation:
80+1=9x
81=9x
x=9
Step by step explanation:
Step 1:
→[tex]-9x + 1 = - 80[/tex]
Step 2:
→[tex] - 9x = - 80 - 1[/tex]
Step 3:
→[tex] - 9x = - 81[/tex]
Step 4:
→[tex]x = \dfrac{ - 81}{ - 9} [/tex]
Step 5:
→[tex]x = 9✓[/tex]
Convert the decimal 0.92¯¯¯ to a fraction.
Question 4 options:
83100
8390
839
9299
Answer:
83/90
Step-by-step explanation:
you need to multiply the variable by 10. x =
0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90
The decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,
To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:
Let's represent 0.92¯¯¯ as x.
Step 1: Multiply x by 100 to remove the repeating decimal:
100x = 92.92¯¯¯
Step 2: Subtract x from 100x to eliminate the repeating decimal:
100x - x = 92.92¯¯¯ - 0.92¯¯¯
99x = 92
Step 3: Divide both sides of the equation by 99 to solve for x:
x = 92/99
Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
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Order these numbers from least to greatest based on there absolute value
|-2.5|,|-2|,|-2.4|,|-3|
Answer:
3, 2.5, 2.4, 2
Step-by-step explanation:
Answer:
|-3|,|-2.5|,|-2.4|,|-2|
Step-by-step explanation:
Treat them as if they were all positive numbers .