7 - 14m = 2m - 5
+14m +14m (add 14 on both sides)
_____________
7 = 16m - 5
+5 + 5 (add 5 on both sides)
_____________
12 = 16m
__ ___ (divide 16 on both sides)
16 16
m = 0.75
Answer:
m = 3/4
Step-by-step explanation:
7 - 14m = 2m - 5 (given)
7 + 5 - 14m = 2m - 5 + 5 (addition poe)
*add 5 to both sides to cancel -5 out*
12 - 14m = 2m
12 - 14m + 14m = 2m + 14m (addition poe)
*add 14m to both sides to cancel -14m* out*
12 = 16m
12/16 = 16m/16 (division poe)
*divide by 16 on both sides to cancel out the coefficient*
12/16 = m
m = 12/16 (symmetric property)
*mirror to the other side*
m = 12÷4/16÷4 (division poe)
*divide the numerator and denominator by its greatest common factor*
m = 3/4
Suppose we lived in a society without interest. At age 25, you begin putting in $750 per month into a cookie jar until you retire at age 65. At age 65, you begin to withdrawl 2500 per month from the cookie jar. How long will your retirement fund last?
Answer:
the retirement fund would last 12 years
Step-by-step explanation:
first we find the amount of years one will be saving money by subtracting the age one will start saving money from the age one would start using the money.
65 - 25 = 40 years
next will be finding the amount of dollars one would save every year, we do that by multiplying the money one is saving every month by 12 (a year).
12 × 750 = 9,000 dollars per year
then we multiply the amount of money one would save per year by the amount of years one will be saving money in, to find how many dollars one would save in 40 years.
9,000 × 40 = 360,000 dollars in 40 years
-
after that we divide the amount one would have saved by the $2,500 one would use every month to find the amount of months the money would last.
$360,000 ÷ $2,500 = 144 months
to find how many years the money would last, one would divide it by 12, which is the amount of months per year.
144 ÷ 12 = 12
It will last 12 years. So it'll last till he's 77 years old at the rate he's pulling it out.
Step-by-step explanation:
You need to find the difference in the ages. so we need to find out how long he's been saving in the 1st place. 65 - 25 = 40 yearsWe now need to covert that 40 years into months. 40 × 12 = 480 months In order to know how much money he saved over that 40 years or 480 months times that by 750. 480 × 750 = 360,000Now we know over the course of 40 years he managed to save 360,000$ when he was putting in 750 a month. Now since he's retired he's taking out 2500 a month and we need to know how long it'll last.So to find out how long the 360k will last if taken out of 2500 increments just divide that rate but the total !! 360,000 ÷ 2500 = 144It will last him 144 months, now convert this number back to years. 144 ÷ 12 = 12 years So now we know it'll last him for 12 years ! and if u add 12 to 65 you'll get 77, so in 12 years he'll be 77!!This is why it'll last him 12 years, which he'll be 77 by that time !! I hope this helped !!
The area of a square garden is 81 ft^2 so what is the length of each side
Answer: 9ft
Step-by-step explanation: 9•9 is 81
Find the LCM (least common multiple) of 13 and 52.
LCM =
52, because 52 is a multiple of 13 (13*4 = 52)
Answer:
The answer is 52
(4x^4y)^2
i need help
Answer:
16x⁸y²
Step-by-step explanation:
Answer:
16x^8y^2
Step-by-step explanation:
what you do is simplify the expression
6.25 x 10^-2 in standard notation
Answer:
0.0625x
Step-by-step explanation:
The cafeteria has 28 bottles of orange juice and 14 bottles of apple juice. An equal number of orange and apple juice are displayed in each row. What is the greatest number of orange juice bottles can be in each row?
Shayla says each row will have 28 orange juice bottles but Marcos says there will be 14 bottles in each row. Who is correct: Shayla or Marcos?
Answer:
The greatest number of orange juice bottles that can be displayed with the apple juice is 14. But if you want it in rows, its 2 or 8.
Step-by-step explanation:
Answer:
Marcus is right: 14 orange juicePLEASE HELP I NEED TO PASS!
Which table has a constant of proportionality between y and x of 2?
A
B
C
HELP!
Answer:
Its B
Step-by-step explanation:
Multiply x by 2 to get your answer
what is the number 0.0000 04 in standard form
Answer:
4x10-6 power
you just need to count the spaced or numbers till you get to 4 then put 10 then to the power of whatever and its -6 because it started from a small number
Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?
Answer:
9636.66666665,or, 9637
Step-by-step explanation:
b) Write the following numbers in order of size.
Start with the smallest number.
0.054 0.54 0.45
0.405
o
8
Answer:
0
0.054
0.405
0.45
0.54
8
Step-by-step explanation:
A container has 400 liters of water, and a second container has 800 liters of water. The first container begins filling up at a rate of 4 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. How many minutes will pass until the containers have the same amount of water?
Answer:
1000
Step-by-step explanation:
Please help. Thank you
Answer:
$105
Step-by-step explanation:
Divide. 451.85 : 100
how do i do this???
Answer:
4.5185
hope this helps.
2. 1. Are the following lines parallel? Explain using slopes. ty (0, 3) (-6, 1) 1 (4, 1) 2 4 6 0 2 62 (0, -2)
Answer:
confused
Step-by-step explanation:
Given f(x) = 9x - 12. what is the value of f(5)?
Answer:
33
Step-by-step explanation:
Answer:
f(5) = 33
Step-by-step explanation:
Just plug 5 into x
f(x) = 9x - 12
f(5) = 9(5) - 12 = 45 - 12 = 33
Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.
Answer:
$80 - $20 = $60 left.
Step-by-step explanation:
I NEED HELP ASAP PLEASE!!!!
I believe the answer is 530
Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this
Answer:
4.5
Step-by-step explanation:
250 mL= 0.25 L 500 mL= 0.5 L 750mL= 0.75 L+3L
−11−3n=−3(n + 6) please tell me the answer ahhhhh
Answer:
No solution.
Step-by-step explanation:
Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=
AB =
angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?
Verify the identity.
cot(x - pi/2) = -tan x
Use property...
cot(a+b)=cot a cot b - tan a tan b
a=x b=pi/2
Left side --> cot x+pi/2)=cot x cot (pi/2) - tan x tan (pi/2)
= cot x * 0 - tan x * 1
=0 - tan x
=- tan x
= Right side
What is the degree of the expression below?
x2-3x +7
Answer:
1
Step-by-step explanation:
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 2y = -10
Answer:
y=x+5
Step-by-step explanation:
Hope this helps! ; D
Maria spent $22.68 on 7.2 gallons of gas. Her friend, April, spent $31.16 on 9.5 gallons of gas at a different gas station. Who paid less per gallon for gas, Maria or April? Justify. Pls help me!!!:(((
Answer:
Maria paid less. She paid $.13 less than Apri.
Step-by-step explanation:
Maria-divide $22.68 by 7.2= $3.15 per gallon of gas
April-divide $31.16 by 9.5=$3.28 per gallon of gas
Use the conditional statement "If it is January, then there is snow." for questions 17 - 18.
17. Identify the hypothesis:
18. Identify the conclusion:
Answer:
Hypothesis: It is January
Conclusion: There is snow
Step-by-step explanation:
COnditionals are in the form If p, then q.
P is the hypothesis.
Q is the conditional.
If (It is January), then (there is snow).
If and then are not included in the hypothesis and conclusion, respectively.
Hypothesis: It is January
Conclusion: There is snow
What is Hypothesis and Conclusion ?
The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement. The conclusion is the result of a hypothesis. Hypotheses followed by a conclusion is called an If-then statement or a conditional statement. This is noted as. p→q. This is read - if p then q. A conditional statement is false if hypothesis is true and the conclusion is false.
Conditionals are in the form if P, then Q.
P is the hypothesis.
Q is the conclusion.
If It is January, then there is snow.
Read more about Hypothesis and Conclusion at:
https://brainly.com/question/5497883
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You have at most $24 to spend at a store. Shirts cost $9.50 each, and pants cost $16 each. Let s be numbers of shirts and p be numbers of pants. Write an inequality that represents the numbers of shirts and pants you can afford.
Answer:
[tex]9.5s \: + \: 16p \: = 24.[/tex]
Step-by-step explanation:
[tex]if \: the \: numbers \: of \: shirts \: is \: s.\\ if \: the \: numbers \: of pants \: is \: p. \\then \: the \: inequality \: that \: represents \: \\ the \: numbers \: of \: shirts \: and \: pants \: you \: can \: afford \: is : \\ 9.5s \: + \: 16p \: = 24.[/tex]
Answer:
9.5s + 16p = 24
Step-by-step explanation:
k12
2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.
Answer:
plz leave answer choices plz and thank you i tried but im very sorry i wrong question
Step-by-step explanation:
Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
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Answer:
wat we were talking about i didnt turn on my cam bc i dont want some stranger looking at my ugly a*s
Step-by-step explanation:
In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
Answer:
If x=1, then f(x)= undefined
Step-by-step explanation:
1*1=1
1-1=0
0/0
You can't divide by 0, so anything that is divided by 0 is undefined.
((1*1)-1)/(1-1)
(1-1)/(1-1)
0/0
0/0=Undefined
f(x)= undefined
If cheese costs $4.50 per pound, what will be the total cost of 3.5 pounds of cheese?
Answer: 15.75
To find the answer to the question, we have to multiply.
4.50 x 3.5 = 15.75
So, the answer to the question is 15.75.
Hope this helps!