6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
Learn more here: https://brainly.com/question/17003809
6x-7y=7andx-7y=-8 find valve of x and y
Answer:
x = 3, y = 11/7.
Step-by-step explanation:
6x - 7y = 7
x - 7y = -8 Subtract:
5x = 15
x = 3
3 - 7y = -8
-7y = -11
y = 11/7.
Answer: x = 3 and y = 11/7
Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x) -7y/-7 = -6x+7/-7 y = 6/7x-1 x-7 (6/7 (x) -1) = -8 -5x+7+(-7) = -8+(-7) -5x/-5 = -15/-5 x = 3 y = 6/7x-1 y = (6/7) (3) -1 y = 18/7-1 18/7-1/1 18/7-7/7 y= 11/7 x = 3 and y = 11/7
b
– 2 =
7
8
Write your answer as a fraction or as a whole or mixed number.
b =
Answer:80
Step-by-step explanation:
6 weeks to 12 days answer?
solve the proportion! (someone help)
Answer:
4.75
Step-by-step explanation:
I need the answer if you know write with explination if you don't know don't answer
Answer:
ABD ≅ ACD and PQS ≅ PRS
Step-by-step explanation:
For ABD ≅ ACD;
AB = AC = 3.5
BD = CD = 2.5
AD ≅ AD by reflexive
Since all 3 sides are congruent, SSS can be used
For PQS ≅ PRS
PQ≅PR by given
QS≅RS by given
PS≅PS by reflexive property
Since all 3 sides are congruent, SSS can be used and they are congruent
What is the constant of proportionality in this
equation?
y= 20x
Answer:
k=20
Step-by-step explanation:
The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.
Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Answer:
80,775
Step-by-step explanation:
I= (22,825) (0.0403) (63)
I= 57,950
P+I=A
I= A+P
I= 22,825 + 57,950
I= 80,775
Help help fast please first answer gets brainiest also needs to be clearly stated
Answer:
(1,5) and (4,7)
Step-by-step explanation:
The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.
titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year
Step-by-step explanation:
x = how many games won last year
x - 1 = how many games won each year
Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment
The sale of an equipment is referred to as disposal of an asset. The required answers are:
1. Gain on disposal = $2000
2. Journal entry for the disposal of the equipment.
Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.
1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.
Thus, to determine the gain or loss on disposal;
$'000
Cost 48
Accum. Depreciation 40
Carrying amount 8
Gain or loss on disposal = Selling price - carrying amount
= $10000 - $8000
= $2000
The gain on disposal is $2000.
2. Dr Cr
$ $
Cash acct. 10000
Asset 8000
P or L 2000
For more on disposal of asset, check: https://brainly.com/question/24098024
solve the simultaneous linear equations by using the elimination method
a - b = -3
3a - 4b = -5
Answer:
3a -3b= -9
3a - 4b = -5
-------------------
b=-4
4a- 4b= -12
3a - 4b = -5
-------------------
a = -7
Simplify the following expression. (0.5x – 3)(0.5x + 3)
Answer:
0.25x^2-9
Step-by-step explanation:
Difference of squares converse:
0.25x^2-9
Answer:
0.25x^2-9
Step-by-step explanation:
multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.
1.5x and -1.5x is 0. so you are left with 0.25x^2-9
PLS HELP WILL MARK YOU BRAINLIEST!!!
ok its either D or B but i think its D. Most likely.
Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M
Answer:
B: p=1,000m
Step-by-step explanation:
Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.
Answer:
a₃₂ = - 59
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then
[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5
Then
a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59
help me brain pt Part 2
package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?
Answer:
36.90
Step-by-step explanation:
How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?
a person buys X meter for 5
after, he sells 2/5 of it for 5.5
after, the half of it he sells 6.4
after, the leftovers for 6 and he make 120 profits of this
How much X meters he bought at the first place?
Step-by-step explanation:
I guess, it means every meter costs these amounts.
and the specified costs are not fit the whole bundle.
it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.
so, we have
-5x
+ 2/5x × 5.5
+ 1/2x × 6.4
+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6
= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).
about the line with the 1/10 :
the leftovers. 10/10 is the whole x at the beginning.
2/5 = 4/10.
1/2 = 5/10.
I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).
in full
-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120
-5x + 2.2x + 3.2x + 0.6x = 120
-5x + 6x = 120
x = 120
so, he bought 120m in the first place.
Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles
Answer:
4.5hours - 4h30 min
Step-by-step explanation:
Doing the math: 225 miles : 50 miles per hour = 4.5 hours
Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Answer:
Slope = -3/2
Step-by-step explanation:
[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]
[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]
-Chetan K
Please Help! 20 Points! Will Give Brainliest if correct!
Answer:
eh+gf/fh
Step-by-step explanation:
The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of
Answer:
2n + 14 = 30
n = 8
Step-by-step explanation:
When the question says twice a number n, that means 2 * n = 2n.
Then when it says the sum of 2n and 14, that means 2n + 14.
Then they said that the sum of 2n + 14 = 30
If you want to find the value of n, subtract 14 from both sides:
2n = 16
Then divide by 2 on both sides:
n = 8
I hope this helps!
Choose Yes or No to tell whether each expression is equivalent to this expression.
–3(0.15 – 0.2 + 0.25p)
0.15 – 0.75p
Choose...
–0.45 – 0.6 + 0.75p
Choose...
–3(–0.05 + 0.25p)
Choose...
–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...
Answer:
top to bottom,
Yes
No
Yes
Yes
A man and his son are in the living room watching TV when the son asks his father a question.
"Dad, why is my sister's name Teresa?"
The dad thinks for a little bit and answers him.
"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."
The son understands and says,"Thanks, dad."
The dad replies with,"No problem, Alan"
When we arrange Alan it brings out a dirty word
Answer:
so what is the q
Step-by-step explanation:
Add.
310+(−720)
Enter your answer as a fraction, in simplified form, in the box.
Answer:
-410/1
Step-by-step explanation:
Hey there!
Question :-[tex]310 + ( -720)[/tex]
We need to solve this arithmetic expression,as a fraction.
Solution:-[tex] \sf \longmapsto310 \: + ( - 720)[/tex]
Note that (+) and (-) equals to (-).
New Arithmetic expression will be :-
[tex]\sf \longmapsto310 + (720)[/tex]
Remove the parenthesis :-
[tex]\sf \longmapsto310 - 720[/tex]
Calculating the Subtraction:-
[tex]\sf \longmapsto310 - 720[/tex]
As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.
[tex]\sf \longmapsto - 410[/tex]
Converting to Fraction:-
[tex]\sf \longmapsto \: - 410[/tex]
[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]
[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]
On Simplification of this Fraction:-
[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]
On Cancelling , -410 Is the result.
[tex]\sf \longmapsto - {410} [/tex]
______________________________________
Henceforth , the answer of the arithmetic expression Will be :-(Simplified)
[tex]\boxed{\bf-{410} }[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.
Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Answer:
I agree.
Step-by-step explanation:
Here is my explantion:
[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]
What can i multiply 2/3 by to make a product of 1? Explain how you know.
Answer:
[tex]\mathsf{\frac{3}{2}}[/tex]
Step-by-step explanation:
In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.
In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].
Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.
The elephants at the zoo eat 5/6 of a bucket of bananas each day. The zookeeper bought 2 1/2 buckets of bananas. How many days will the bananas last?
Answer:
3 days
Step-by-step explanation:
We know that there is 5/2 buckets of bananas, and each day 5/6 is eaten, so the answer is 5/2 divided by 5/6 which is 3
Answer:
3 days
Step-by-step explanation:
2 1/2 ÷ 5/6 = 3
Therefore, the bananas will last 3 days.
I just woke up i need help ;-;
Answer:
i think that the correct answer is 7/12