Answers
Answer: Refer to the screenshot below
I've filled in the boxes with the proper answers
====================================================
Explanation for problem 1
In line 1, I used the distributive rule a*(b+c) = a*b+a*c. On the left side the 3(n+2) becomes 3n+6. On the right side, the 9(6-n) becomes 54-9n
On the next line, I added 9n to both sides. The 3n on the left side updates to 3n+9n = 12n.
For the third line, I subtracted 6 from both sides. Then the last line involves dividing both sides by 12 to fully isolate n. To confirm the solution n = 4, plug it back into the original equation. You should get the same thing on both sides after simplifying.
------------------------------------
Explanation for problem 2
The steps here are similar as problem 1, but this time we're involving fractions. Unfortunately, these steps don't involve clearing out the fractions which is often a handy trick to use.
We use the distributive rule on line 1
For line 2, we subtract 2m/9 from both sides. Think of 2m/3 as 6m/9 to help combine the fractions. The denominators must be the same for you to be able to add or subtract fractions.
For line 3, we subtract 4/3 from both sides. Think of 4/3 as 12/9.
The last step is to multiply both sides by 9/4, which is the reciprocal of 4/9. Your teacher made a typo on the right hand side of the last line. It should read [tex]\frac{4}{9}m[/tex] and not [tex]\frac{2}{9}m[/tex]. Refer to the previous line.
Related Questions
The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.
WITH FULL CALCULATION PLEASE!!!!!
Answers
======================================================
Work Shown:
A = old value = 75
B = new value = 78
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (78-75)/75 ] * 100%
C = (3/75) * 100%
C = 0.04 * 100%
C = 4%
The positive C value means we have a percent increase.
The price has increased by 4%
Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the weekly salary based on this annual salary?
Answers
Answer:
Weekly salary of Harold = $750 (Approx.)
Step-by-step explanation:
Given:
Annual salary of Harold = $39K = $39,000
Find:
Weekly salary of Harold
Computation:
Number of weeks in a year = 365 / 7
Number of weeks in a year = 52.1425
Number of weeks in a year = 52 week (Approx.)
Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year
Weekly salary of Harold = 39,000 / 52
Weekly salary of Harold = 750
Weekly salary of Harold = $750 (Approx.)
The population of a certain kind of bacteria doubles in size every 5 minutes. The current number of bacteria in the population, N, is equal to the product of the initial number of bacteria, I, and 2 to the power of n, where n is the number of times the population has doubled.
Initially, 599,737 bacteria are in a petri dish. How many bacteria are in the petri dish after 15 minutes?
A. 9,595,792
B. 4,797,896
C. 2,398,948
D. 3,598,422
Answers
Answer:
B, 4,797,896
Step-by-step explanation:
599,737 multiplied by 2 is 1,199,474 then multiplied by 2 is 2,398,948 then multiplied by 2 is 4,797,896.
I multiplied by 2, 3 times because the population of a certain kind of bacteria doubles in size every 5 minutes and 15/5=3.
hii! i’ll give brainliest pls help
Answers
Answer:
A flood
Step-by-step explanation:
Answer:
Annie is most likely to experience a flood.
Step-by-step explanation:
Her location is not specified beyond living near a river, therefore we cannot be sure of earthquakes, she does not live near a body of water large enough to cause a tsunami, and it did not specify that she was near a volcano therefore we make the assumption that she is not at risk for that. Therefore, leaving a flood as our option.
What is 972 written in standard form
Answers
Find the value of x.
6x
2x
11.25
0 16.25
58
032
Answers
Answer:
x = 11.25
Step-by-step explanation:
The sum of the angles is 90 degrees since it is a right angle
6x+2x = 90
8x = 90
Divide each side by 8
8x/8 =90/8
x =11.25
Diego scored 9 points less than Andre in the basketball game.
Noah scored twice as many points as Diego.
If Noah scored 10 points, how many points did Andre score?
Type the answer in the box below.
Answers
Answer:
14
Step-by-step explanation:
Diego scored 5 points (half of Noah's 10)
which is 9 less than 14!
Answer:
Diego scored 14 points
x = 14
Hope this helps!
I need the answer immediately!!!!!!!!
Answers
Answer:y=-5x-2
Step-by-step explanation:
This will have a negative slope since the line goes from left to right. Use rise over run to find the slope of -5 and look at the y axis where it intersects to get -2
Have a great day!
what is the degree of polynomial
f (x) = 2x² - 5x+6 ?
Answers
Answer:
2
Step-by-step explanation:
The degree of a polynomial is its highest exponent value: in this case, thats just two!
Answer:
degree 2
Step-by-step explanation:
The degree of a polynomial is determined by the largest value of the exponent attached to the variable.
f(x) = 2x² - 5x + 6 ← has the term 2x² with exponent 2 ( largest ), then
f(x) is a polynomial of degree 2
Solve the following equation: x3 -5x² + 4x = 0
Answers
Answer:
0,1 and 4
Step-by-step explanation:
i think you meant x^3
can someone help plz
Answers
Answer: -1.13
Step-by-step explanation: I counted from -1.1 to -1.15
6^2=?
What math of this
Answers
Answer:
its 6th grade math but the answer is 36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
when you have an exponent of 2. you times/multiply the number by itself
Pls help me I don’t understand these
Answers
Answer:
read it slowly then try again. but draw a division problem with dots
Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the median?
A. 82.5
B. 83.6
Answers
Answer:
83.05
Step-by-step explanation:
The two measures of the center are 82.5 and 83.6
The value of the median can be calculated a follows
= 82.5 + 83.6/2
= 166.1/2
= 83.05
Hence the value of the media is 83.05
To celebrate answering over 100 questions in math on Brainly, I'm giving away 15 points!
To get brainliest, answer this question as well as receive your points w/ math shown:
If I have answered 112 questions on brainly total, but have 127 thanks total and have an average of 1 thank on each of my answers, about how many thanks have I received on my profile?
Answers
Step-by-step explanation:
127? I hope this is right!
Answer:
Thank you <3
about 15 thanks on your profile
Step-by-step explanation:
112 questions
127 thanks total
Average of 1 thank on each questions
that means 112 questions have 1 thank each
So 112 thanks
subtract the total thanks from the question thanks
127 - 112
15
You have received around 15 thanks on your profile, as its an average of 1 thank on each question which means it could always be more or less.
If the arc measure is 90 degrees and the diameter of the Circle is 10. what is the arc length?
Answers
Answer:
15.7 degrees.
Step-by-step explanation:
Why did the robber take a bath
Answers
Answer:
To make a "clean getaway"
Step-by-step explanation:
haha, nice one :D
hey quyzz. Can someone pls help.
Ive been working on this equation for some and i am not sure wheter the answer is 27/340 or 11/170. pls give full workings. will give brainly.
[tex](2 \frac{3}{3} \div 4 - \frac{3}{10} ) \times \frac{3}{17} [/tex]
Answers
Step-by-step explanation:
[tex]( \frac{2 \frac{3}{3} }{4} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{ \frac{9}{3} }{4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{3 \times 4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{12} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{9 \times 5}{12 \times 5} - \frac{3 \times 6}{10 \times 6} ) \times \frac{3}{17} \\ = ( \frac{45 - 18}{60} ) \times \frac{3}{17} \\ = \frac{27}{60} \times \frac{3}{17} \\ = \frac{81}{1020} \\ = \frac{27}{340} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A man leaves home at 20:15 hrs and
reaches his destination at 06:00 hrs the
following day. How many hours did the
journey take?
Answers
Answer:
9 hours and 45 mins
Step-by-step explanation:
First, this is in army time. (Just so you know!) Also, it goes to 24 hours.
What you would do is add 45 mins to get to a single hour: so 20:15 + 45 = 21:00, then add 3 to get to 24:00 or 12:00 am, then add 6 more hours to get to 6:00 hours. So the final answer is 9 hours and 45 mins
hii! i’ll give brainliest pls help
Answers
Answer:
Land slide
Step-by-step explanation:
I think you can see how, its litteraly land that is sliding
The function g(x) is described in the table below what is g(0)+g(4)?
Answers
Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.
Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.
g(0) = -5
g(4) = -4
Now, all that's left to do is add these two values.
-5 + -4
-9
Hope this helps!! :)
Answer:
- 9
Step-by-step explanation:
g(0) = - 5 ← value of g(x) when x = 0
g(4) = - 4 ← value of g(x) when x = 4
Then
g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9
12. The cost, in dollars, of operating a
machine per day is given by the formula
C = 3t2 – 96t + 1014, where t is the time
the machine operates, in hours. What is
the minimum cost of running the machine?
For how many hours must the machine run
to reach this minimum cost?
Answers
The minimum cost of running the machine is $246. The time for minimum cost will be 16 hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cost, in dollars, of operating a machine per day is given by the formula C = 3t² – 96t + 1014.
The minimum cost will be calculated as:-
d/dt ( 3t² – 96t + 1014 ) = 0
6t -96 = 0
6t = 96
t = 16 hours
The minimum cost is calculated as:-
C = 3t² – 96t + 1014
C = 3 ( 16)² - 96 x 16 + 1014
C = 768 - 1536 + 1014
C = $246
To know more about an expression follow
https://brainly.com/question/14969395
#SPJ1
I need help with part d
Answers
Answer:
i think its dart.
A concave kite is sometimes referred as a dart or arrowhead.
Step-by-step explanation:
Answer:
The name of the shape is Concave Quadrilateral.
Step-by-step explanation:
Which point is located at (4, -2)?
А
4
10
3
N
+
万一-3-2-14
--2-
1 2 3 4 5 X
B
D
-5
Ο Α
ОВ
OD
Answers
Quick! Taking a test, this could decide whether I fail or pass the grade..
Answers
Answer:
the second option!
Step-by-step explanation:
According to Math.way the second option is the correct answer.
What is the image point of (2,7) after a translation left 4 units and up 2 units?
Please hurry ASAP no links
Answers
Answer:
Coordinates of the image point → (-2, 9)
Step-by-step explanation:
If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,
(x, y) → (x - h, y + k)
Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,
(2, 7) → (2 - 4, 7 + 2)
→ (-2, 9)
Coordinates of the image point → (-2, 9)
What is the range for 42 42 52 53 58 58 61
Answers
Answer:
range would be 19
Step-by-step explanation:
Answer:
I have to say -282
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
PLS HELP! WILL MARK BRAINLIEST!
(also please add explanation if possible)
Mr. Smith makes a pasta sauce
He mixes tomato concentrate: olive oil at a ratio of 3: 1
How many liters of tomato concentrate does he need to mix if he adds 3 liters of olive
oil?
Answers
Answer:
9 litres.
Step-by-step explanation:
3 * 3 = 9
3:1
x:3
So x is 9
which of the p-values satisfy the following inequality?
5≥2p+1
choose all answers that apply:
A p=0
B p=1
C p=2
Answers
Answer:
All of the answers
Step-by-step explanation:
P=0, p=1, p=2
I need help with this
Answers
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.