Answer:
0.0792therms/hour
Step-by-step explanation:
Given
Total output per month = 57 therm of output
Required
Total output of the pellet stove in one hour
Since 1month = 24×30 = 720hours
Hence:
57therms = 720hours
x therm = 1hour
Cross multiply
720×x = 57
x = 57/720
x = 0.0792 therms/hr
Hence the pellet stove use 0.0792therms/hour
Find (f+g)(x) and (f-g)(x)
f(x)=2x+7 g(x)=5x-4
Answer:
for (f+g)(x): 7x + 3; x = -3/7
for (f-g)(x): -3x - 3; x = -1
Step-by-step explanation:
(f+g)(x) = (2x+7)+(5x-4)
Eliminate parentheses.
2x + 7 + 5x -4
Combine like terms.
7x + 3
If you are solving for x, move the 3 to the other side.
7x = -3.
Then divide each side by 7.
x = -3/7
(f-g)(x) = (2x+7) - (5x -4)
Distribute the negative.
(2x+7) + (-5x+4)
Eliminate parentheses.
2x + 7 - 5x - 4
Combine like terms.
-3x -3
If you are solving for x, move the -3 to the other side.
-3x = 3
Then divide each side by -3.
x = -1.
3n + 7 - 11n - 31 = 160
Answer:
n = -23
Step-by-step explanation:
3n + 7 - 11n - 31 = 160
Step 1: Combine like terms
-8n - 24 = 160
Step 2: Simplify
-8n = 184
n = -23
Answer:
= −23
Step-by-step explanation:
Subtract the numbers
3 + 7 - 11-31 = 160
3-24 - 11 = 160
Combine like terms
3 - 24-11 = 160
-8 - 24 = 160
Add 24 to both sides of the equation
-8 - 24 = 160
-8 - 24 + 24 = 160 + 24
Simplify
Add the numbers
Add the numbers
--> -8 = 184
Divide both sides of the equation by the same term
-8 = 184
-8/-8 = 184/-8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
--> = -23
8. What is the 10th term of the geometric sequence
a(n)= -3(2)^x-1
a. -54
b. -3,072
c. -10,077,696
d. -1,536
Answer:
n=10
a10= - 3 (2)^(10-1)= -3(2)^9
= -1536
Can someone help me out with this problem?
Answer:
[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]
20 dumplings can be made by Luke.2x2 + 8x - 7 = 0
How to solve
x =(8-√120)/4=2-1/2√ 30 = -0.739
Step-by-step explanation: calculator
Answer:
2 x 2 +8x -7= 0
4+8x-7=0
-3+8x=0
8x=0+3
8x/8=3/8
x=3/8
x=0.375
Step-by-step explanation:
1.Multiply 2x2 to get 4
2.Calculate the difference between 4-7
3.Move the constant to the right side
4.Divide both sides of the equation by 8
AABC has been translated right to create triangle AXYZ. Based on this information,
which of the following is a true statement?
OA) BEX
B) LAC
C)
Z = AC
D
0 % ZY
Answer:
C.) XZ ~= AC
Step-by-step explanation:
That is your answer. Hope this helps
HELP ME PLEASE!!!!!!
what is the mean, mode, median, and range of the numbers 24, 31, 12, 38, 12, and 15
Answer:
mean: 19.66667
mode: 12
median: 18
range: 37
1. Find the sum of -9g and 6g + 3
Answer:
-3g + 3
Step-by-step explanation:
-9g + 6g + 3
combine like terms
-3g + 3
Hope this Helps!!!
Answer:
-3g + 3
Step-by-step explanation:
This would be the answer because if we add 6g to -9g then we would have -3g since 3 and 3 are not like terms then we can just add them like this -3g+3
Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?
Answer:
8.25 minutes
Step-by-step explanation:
31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles
Kayla climbs 57 steps in 40 seconds.
At that rate, how many steps could she
climb in 160 seconds?
Answer:
225 steps Can Be climbed by her.
Step-by-step explanation:
Its simple The LCM OF 60 AND 40 IS 2
THEREFORE
60= 40/2 multiplied by 3
60= 20 X 3
= 60
similarly to 150 seconds
150/2 *3
= 75 X 3
= 225 steps.
Answer:
228
Step-by-step explanation:
laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk
Answer:
9 cups of batter
Step-by-step explanation:
laquisha uses two cups of milk for every three cups of pancake batter to make about 20 pancakes. Which ratio could she solve to find the number of cups of pancake batter, x ,needed if she uses 6 cups of milk
The ratio is given as:
2 cups of milk = 3 cups of batter
6 cups of milk = x
x = 6 × 3/2
x = 9 cups of batter
error
question not used
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=60
Step-by-step explanation:
right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees
please help, I suck
Answer:
I believe the equation using slope intercept form is Y= (1)x + -1
Step-by-step explanation:
The line is going down, it hits the y axis at -1, and it goes down one and over one
Hope this helps and have a great day :)
All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there
Answer:
61 cabins
Step-by-step explanation:
Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.
48 + 13 = 61
Step-by-step explanation:
62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.
The graph shows Jill's walk home from school.
Distance
Time
Which statement best describes the graph?
A) Jill walked home very slowly.
B) Jill started walking, sat down for a rest and then continued
walking
C) Jill started walking, took a rest, walked some more and rested
again.
D) Jill walked and then ran walked more and then ran more.
Answer:
Step-by-step explanation:
The answer is B because the distance was the same for a while
A city has a 5% sales tax.
A book costs $32.55 after tax.
How much did it cost before tax?
*please answer quick and tell me how you did it*
Answer: $30.92
Step-by-step explanation:
First step is to turn 5% into a decimal so that you can use it easier in a math sentence -- 0.05
Next, find out what 5% of $32.55 is by multiplying
0.05 x 32.55
= 1.6275
Round to the nearest cent because we don't use anything smaller than a cent when we are talking about money.
= $1.63
This is the amount of tax included in the price of $32.55
If we want to know what it the book cost before tax we simply take the tax off.
$32.55 - $1.63
= $30.92
Hope that helps :)
t/(-11) = 11 what does t =
Answer:
t=-121 is the correct answer
you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.
each ballon costs: ?
each banner costs: ?
Answer:
each balloon costs 1$ and each banner costs 3$
Step-by-step explanation:
The costs of each balloon and banner are $1 and $3 respectively.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, you buy 1 balloon and 1 banner for $4. your friend buys 3 balloons and 2 banners for $9.
Let x represents balloons and y represents banners.
Establishing the equations,
x+y = 4
x = 4 - y......(i)
3x + 2y = 9...(ii)
Put eq(i) in eq(ii)
3(4 - y) + 2y = 9
12 - 3y + 2y = 9
y = 3
Put y = 3 in eq(i)
x = 4-3
x = 1
Hence, the costs of each balloon and banner are $1 and $3 respectively.
Learn more about systems of the equations, click;
https://brainly.com/question/12895249
#SPJ2
I need help ASAP!!!,
Which of the following would be a possible solution to the system of inequalities given below?
Answer:
b
Step-by-step explanation:
i just took the quiz plz mark brainliest
Ted has a part-time job.
He is paid £7.90 per hour.
Last week he worked for 15/2 hours.
Work out Ted's total pay for last week.
Answer:
The answer is 122.45
Step-by-step explanation:
So basically we know that he worked 15 and 1/2 hours
He gets paid £7.90 for every hour he works
7.90 × 15 = 118.5
Then you do half of £7.90 which is £3.95 because he worked 1/2 hours half of 60 minutes is 30 minutes that why you half £7.90.
You add 118.5 + 3.95 = £122.45
and that your answer
How to Rewrite the expression 4(13-10) using distributive property of multiplication over subtraction
Answer:
52-40
Step-by-step explanation:
distribute 4 to 13 and 10
put the subtraction sign back in
Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)
Answer:
Step-by-step explanation:
b/c fractions are confusing :D, put them all in 12th to make it easier
4/12, -8/12, -9/12, -5/12, 1 3/12, 1 5/12
now stick them in order
-9/12, -8/12, -5/12 , 4/12 , 1 3/12, 1 5/12
now put them back to reduced form
-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12
:) better?
Y=5+2x fill in the table using this function rule
Step-by-step explanation:
hope it helps you..........
Sally made 17 bundles of 10 straws. How many straws did she made in all?
Answer:
170 straws
Step-by-step explanation:
10x17 is 170, so she made 170 straws
Answer:
The answer is 70 because 17x10=170
you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
Please help ASAP!!!!!!!!!!!!!
Answer:good luck yo
Step-by-step explanation:2 times 5
Solve to find X. 3 ≥ -3x
Answer:
-1 ≤ x
Step-by-step explanation:
You just need to divide -3 on both sides.
-1 ≤ x
Note that since you are dividing by a negative number, the sign flips.
-1 ≤ x
Step-by-step explanation:
First start with the equation:
3 ≥ -3x
divide by -3 to get x positive and singular:
-1 ≥ x
and since we divided by a negative we need to flip the sign:
-1 ≤ x would be your answer
hope this helped :)
On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?
Answer:
naruto
Step-by-step explanation:
