Which of the following describes a correct process for solving the equation 3(x + 6) = 21 and arrives at the correct solution?
A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
B. Subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
C. Distribute the 3, subtract 6 from both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 5.
D. Add 6 to both sides of the equation, and then divide both sides of the equation by 3. The solution is x = 9.
Answer:
A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
Step-by-step explanation:
3(x + 6) = 21
Divide both sides by 3
(x + 6) = 7
Subtract 6 from each side
x = 7-6
x=1
Answer:
x=1
Step-by-step explanation:
multiply 3 with (x+6) resulting into 3x+18=21
cross-multiply and divide through by 3.
There u go
What time does the clock show?
Answer:
12:43
Step-by-step explanation:
Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation. How much does Amy still owe her mother?
Answer:
Amy still owes her mother $38.
Step-by-step explanation:
76 - 14 - 24
76 - 14 = 62
62 - 24 = 38
what is the area of a rectangle which is 7.2cm by 3cm
Answer:
21.6cm^2
Step-by-step explanation:
area = length * breadth
= 7.2 * 3 = 21.6
Convert 1.05 to a fraction
Answer:
21/20
Step-by-step explanation:
One way to look at it:
Convert 1.05 to a percentage so it's easier to see it as fraction out of 100
fraction x 100 = %
1.05 x 100 = 105%
105% means 105/100, and reducing the fraction gives 21/20.
21/20 = 1.05
m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?
Step-by-step explanation:
m∠RSU + m∠UST = 90° (as complementary angles)
(7x + 3)° + (11x − 21)° =90°
18x -18° = 90°
18x = 108°
x = 6
so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°
and m∠UST = (11x − 21)° = 11(6) -21 = 45°
The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
What is the angle?The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.
The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4
Required measures of the angles,|
1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|
m∠RSU = 31°
2) m∠UST = (11x − 21)°.
m∠UST = (11 * 4 − 21)°
m∠UST = (44 − 21)°
m∠UST = 23°
Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.
Learn more about Angles here:
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Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?
1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me
Answer:
1.) x = 150
2.) x = 8.5
Step-by-step explanation:
1.)
[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]
2.)
[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]
Answer:
1. x = 150
2. x = 8.5
Step-by-step explanation:
1. x/5 + 10 = 40
Get x by itself and then solve for x.
First, subtract 10 from both sides
x/5 + 10 - 10 = 40 - 10
x/5 = 30
Then, multiply by 5 to get x by itself.
x/5 = 30
x/5 * 5 = 30 * 5
x = 150
2. 4x - 36 = -2
Get x by itself and then solve for x.
First, add 36 to both sides
4x - 36 + 36 = -2 + 36
4x = 34
Then, Divide each side by 4
4x/4 = 34/4
x = 8.5
Find the perimeter of the following figures and circle the figure with the greatest perimeter
Answer:
figure plz
Step-by-step explanation:
7x (x+y)-2 plss help
Hình thức thay thế :
7 x^2 + 7 x y - 2
7/4 (2 x + y)^2 + 1/4 (-7 y^2 - 8)
x (7 x + 7 y) - 2
Dẫn 1 phần :
d/dx(7 x (x + y) - 2) = 7 (2 x + y)
d/dy(7 x (x + y) - 2) = 7 x
Factorize 2x^2-5/3xy-2y^2
I hope it helps you
Answer:
[tex]y = 0 \: .x = \frac{2}{3} y[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]
[tex]3xy - 2 {y}^{2} = 0[/tex]
[tex]y \times (3x - 2y) = 0[/tex]
[tex]y = 0 = 3x - 2y = 0[/tex]
[tex]y = 0 = 3x = 2y[/tex]
[tex]y = 0[/tex]
[tex]x = \frac{2}{3} y[/tex]
[tex]y = 0. \: x = \frac{2}{3} y[/tex]
The box plots show the amount of time It took members of cross-country teams from two different schools to finish a two-mile run.
A. There is a weak evidence that team members from School J run slower than team members from School K.
B. There is no evidence that team members from School J run slower than team members from School K.
C. It is certain that team members from School J run slower than team members from School K.
D. There is strong evidence that team members from School J run slower than team members from School K.
Answer:
D
Step-by-step explanation:
Can you write - 14 as a fraction?
Answer:
-14/1 or 14/-1
Step-by-step explanation:
The fraction for 14 is 14/1
to make it negative, just add a negative sign for numerator or denominator.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Describe and correct the error in solving the equation
Describe and correct the error in solving the equation
2(s - 5) = 2 (s + 5)
2s - 10 = 2 s - 10
2s = 2s
0 = 0
Answer:
2(s + 5) = 2s + 10, not 2s - 10
2s - 10 = 2s + 10
[tex]0 \neq 20[/tex]
9. List the set of integers such that -3 IF YOU ANSWER I GIVE YOU STAR
The sum of three numbers is 124. The second is 10 less than the first. The third number is 4 times the second. What are the numbers?
Step-by-step explanation:
numbers
first = X
second = (x-10)
Third = 4(x-10)
x + (x-10) + 4(x-10) = 124
2x -10 + 4x-40 =124
6x - 50 = 124
6x = 124 + 50
6x = 174
x= 29
therefore the ;
first number = 29
second = (x-10) = 29-10 = 19
third= 4(x-10) = 4(29-10)= 76
Write 8/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
0.72 repeat
Step-by-step explanation:
__
8 ÷ 11 =0.72
The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?
Answer:
84528 birds
Step-by-step explanation:
number of birds in the 2nd flock = 5283 * 5 = 26415
number of birds in the 3rd flock = 26415 * 2 = 52830
total = 5283 + 26415 + 52830 = 84528
what is the square root of 465
Answer:
The square root of 465 with one digit decimal accuracy is 21.5.
Step-by-step explanation:
√465 = 21.5
Need Help, with steps
Answer:
It is C
Step-by-step explanation:
PM = QM
[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]
Answer:
C.) x = 3
Step-by-step explanation:
The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.
in September the digits of the code number are prime factor of 375 what is the code number for the office door in September
Answer:
There are 3 prime factors for 375 (1,3,5)
Step-by-step explanation:
Prime factors are prime numbers meaning they can't be further divided by a whole number.
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answer:
$330
Step-by-step explanation:
working hours a day = 5 hours 30 minute
total working hours = 5 days × 5.5 hours
= 27 hours 30 minute
pay per hour = $12
total gross pay a week = 27.5 × $12
= $330
What is the distance between points (6,-5) and (2,-2)
Answer:
ans is 5.
hope it will help you.
Help ill give branliest
Answer:
i flipped the images upside down.
Step-by-step explanation:
R= 8,5
Q=8,7
R=5,9
9/5-(-6/10= reduced to the simplest form
Answer:
Since it is a double negative, you add the two together. First, you must find the LCD though. Which is 10. So you multiply the left side by 2. This comes out to 18/10 - (-6/10) but since there's two negatives, you add them, so it's 18/10 + 6/10 = 24/10 = 12/5
Step-by-step explanation:
The answer is 12/5 (top is explaining how I got there.)
Answer:
12/5
Step-by-step explanation:
9/5 - (-6/10)
Subtracting a negative is like adding
9/5 + 6/10
Simplify 6/10 by dividing the top and bottom by 2
9/5 + 3/5
12/5
Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
A) 5/5
B) 12/12
C) 15/15
D) 4/4
E) 3/3
Answer:
E) 3/3
Step-by-step explanation:
12/15 ÷ X = 4/5
We need to divide the top and bottom by 3/3
12 ÷3 =4
15÷3 = 5
Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?
Answer:
-5.35
Step-by-step explanation:
-20.85
+15.50
this helps with the problem
497,140.4 divided by 10
Answer: 49714.04
Step-by-step explanation:
Answer:
49,714.04
Step-by-step explanation:
Move the decimal dot to 1 digit before it
497,140.4 => 49,714.04
please help asap need answer
If B is mid point of AE and AB is 25 what is AE
Answer:
50 i think not sure what kind a question this is