Ethan has some money in his savings account when he starts his new job as a Jimmy John's delivery guy. After starting, he decides to save the same amount from his paycheck each month. After 3 months, Ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars. Find an equation that gives the amount saved ("y") after "x" months.
Answer:
y = 360x+200
Step-by-step explanation:
We will use the concept of finding the equation of a line using two coordinates (x1,y1) and (x2,y2)
If after 3 months, ethan has 560 dollars in his savings, and after 6 months, he has 920 dollars, this can be represented as coordinate points (3,560) and (6,920)
The equation of a line in point slope form is expressed as;
y = mx+c
m is the slope = ∆y/∆x = 920-560/6-3
m = 360/3
m = 120
Get the intercept;
Substitute m = 120 and any of the points to get c, using the point (3,560)
x = 3, y = 560
560 = 120(3)+c
560 = 360+c
c = 560-360
c = 200
Get the required equation by substituting m and c into y = MX+c
y = 360x+200
Elena and her best friend found some money in an envelope. They split the money evenly, each getting $25. How much money did they find? Write and solve the equation for this probl
Linda needs 2200 calories per day to maintain her present weight and daily activities. She wants to lose x pounds per day. Each pound of body weight lost is equivalent to 3400 calories. Write her daily calorie intake as a linear function of the number of pounds of weight lost per day. (Let y represent the calorie intake and x represent the number of pounds of weight lost per day.)
Answer:
y = - 5600x + 2200
Step-by-step explanation:
Given that:
x = number of pounds lost per day
y = calorie intake
Using the linear relation :
y = mx + c
When calorie intake = 2200, no loss or gain in weight ; x = 0 ; hence intercept c = 2200
y = 0 + 2200
Each pound of body weight lost = - 3400 calories
Hence, equation when x = 1
-3400 = m(1) + 2200
-3400 = m + 2200
-3400 - 2200 = m
-5600 = m
Hence,
y = mx + c
y = - 5600x + 2200
It is 85 miles from Central city to Smithville and 125 miles from Smithville to Jonesburg . How many gallons of gas will it take to drive from Central City to Smithville to jonesburg in a car which gets 30 miles per gallon .
Answer:
It will take 7 gallons of gas
Step-by-step explanation:
85 miles + 125 miles = 210 miles to drive
30 miles a gallon
210 ÷ 30 = 7
7 gallons needed
Claire’s bedroom measure’s 16 feet by 18 feet. If the purple carpet that she wants to buy costs $3.59 per square foot, what will it cost to buy new carpet for her bedroom?
Answer:
1033.92
Step-by-step explanation:
I multiplied 16 and 18 to get the area of the room which was 288. Then I multiplied 288 by how much it would cost for one square foot ( 3.59) and got my answer. Sorry if I'm wrong!
Answer:
$1,033.92 I believe
Step-by-step explanation:
you would multiply 16 and 18 then once you get that answer multiply the answer by 3.59
Write the slope- intercept form of the equation of each line.
Answer:
y=-2/1 -5
Step-by-step explanation:
The y-intercept is -5 because the blue line goes through the y-axis at -5 and the slope is -2/1 because you take two points where the blue line goes through and perform the rise over run method to get the slope.
Rewrite this statement 8 x 2 + 5 = 56
Answer:
8+293#+99393489494
Step-by-step explanation:
what?
show proof for all of these (for points, brainlist.) 880 x 12 = 10560 (proof)
-
197 divided 7 = 28
1 Remainder (proof)
-
$98 x $687= 67 326 U.S (proof)
-
936 x 39 =36504 (proof)
-
39 x 936 = 36504 (proof)
-
804 x 93 = 74772
(PROOF)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
SHOW PROOF FOR ALL OF THEM! TY (ASAP)
Answer: Multiply 93 by 804 and that will give you
74772x
Multiply 12 by 880 and that will give you
10560x
Exact Form:
1977
Decimal Form:
28.14285714…
Mixed Number Form:
2817
Multiply 687 by 98 that will give you
67326
Multiply 936 by 39 and that will give yoou
36504x
Step-by-step explanation:
What is the area of this quadrilateral?
A. 34 square feet
B. 60 square feet
C. 48 square feet
B. 36 square feet
Answer:C
Step-by-step explanation:
9×4=36
2×.5×4×3=12
36+12=48
A rectangular prism is shown below.
What is the volume of the rectangular prism?
A. 260 cm
B. 240 cm
C. 220 cm
D. 200 cm
200 sq. cm. or 200^3
10x5=50
50x4=200
What is the x-intercept of the line?
Answer:
which one is crossing the x axis then you will get your x intercept.
Step-by-step explanation:
Determine the Slope of Each Tables
Answer:
A) 2
B) -5/2
C) -1
D) 3
Step-by-step explanation:
Hope this helps. Pls give brainliest.
B. What fraction of the letters of the English language are vowels? (points)
Answer:
5/26.
If you count y as a vowel it is 3/13
Step-by-step explanation:
Find AB
Round to the nearest tenth.
solve this problem: 125^-1/3×49^-1/2
Question 5 : CONSUMER MATH
Answer:
23.1345 is the answer I am not that sure though
Select the correct answer. Which number best represents the slope of the graphed line?
A.-5
B.-1/5
C.1/5
D.5
Answer:
1/5
Step-by-step explanation:
Answer:
(1/5)
Step-by-step explanation: I did it, got it right.
what is the sum of the 2nd square number and the 5th cube number
Answer:
129
Step-by-step explanation:
4+125=129
The sum of the 2nd square number and the 5th cube number is 129.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
As per the given question, the required solution would be as:
1, 2, 3, 4, 5....
1, 4, 9, 16, 25 ...
So, the second square number will be 4.
1, 8, 27, 64, 125, ...
So, the fifth cube number will be 125.
The sum of the second square number and the fifth cube number is :
4 + 125 = 129.
Learn more about the number system here:
brainly.com/question/21751836
#SPJ2
there were 40 questions on Roberts test. How many problems did Robert get right if he received an 87.5% oh his test?
Answer:
Robert got 35 problems right if he received an 87.5% oh his test.
Step-by-step explanation:
Total questions = 40As Robert got right 87.5% on his test.
so the expression becomes
87.5% × 40
= 87.5/100 × 40
= 0.875 × 40
= 35
Therefore, Robert got 35 problems right if he received an 87.5% oh his test.
A bottle of hand sanitizer is on sale for $2.25. IF this price represents a 50% discount from the original price, what is the original price to the nearest cent?
Answer:
4.50
Step-by-step explanation:
2.25x2=4.50
hello
HELP ME PLEASE!!!! It’s an emergency
Answer:
the answer is 20
PLEASE HELP!!
Provide reasons for the following proof.
Answer:
here is the answer
Step-by-step explanation:
1 : the parallel line doesnot intresect on any points
2: beasuse they are corrusponding angle and it
doesnot equals
3: beacuse they are suplimentry angle
4: beacuse they have sum of 180°
5: statement 5 is worong there should be sum not difference
6 : this is also wrong statement there should be + not -
7: beacuse they have sum of 180° and also forms
liner pair
I need help on this answer
Answer:
The answer is B (AKA) 102
Step-by-step explanation:
180-78
one angle is 180 degrees
Answer:
102
Step-by-step explanation:
These two angles together add up to 180 degrees because they are supplementary. All you have to do to find this answer is subtract 78 from 180 to get 102.
180-72=102
What are some random fun facts about you?
LOL I want to work at Starbucks but idek how to make my own coffee.
i work at my uncle’s restaurant but idr work
Answer:
lmbo
Step-by-step explanation:
What is the value of n in the equation 1/2(n-4)-3=3-(2n+3)
Answer:
2
We first use the distributive property on both sides:
1/2(n)-1/2(4)-3 = 3-(2n)-(3)
1/2n - 2 - 3 = 3 - 2n - 3
Combining like terms on both sides,
1/2n - 5 = -2n
Subtracting 1/2n from both sides:
1/2n - 5 - 1/2n = -2n - 1/2n
-5 = (-2 1/2)n
Divide both sides by -2 1/2:
-5/(-2 1/2) = (-2 1/2)n/(-2 1/2)
2 = n
Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family needs her to be at the restaurant at least 7 hours per week, but she can't work there more than 10 hours per week. She also does not want to work more than a total of 15 hours each week. She wants to make at least $140 per week.
Write a system of inequalities that represents the constraints on Janine's part-time jobs. Explain what your inequalities represent in the context of the problem.
Janine wants to earn as much money as possible next week. What combination of hours should she spend at each job to do this? Justify your reasoning.
Answer:
1) The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
Janine should work as a dishwasher for 7 hours, and as a babysitter for 8 hours, to earn as much money
Represent the hours babysitting with b, and the hour dishwashing with d.
So, we have the following systems of inequalities
[tex]14.5b + 9.5d \ge 140[/tex] ---her earnings[tex]7\le d \le 10[/tex] -- the time she can spend at the restaurant[tex]b + d \le 15[/tex] --- her weekly work hoursNext, we plot the graphs of the inequalities that represent the hours she can work.
i.e. the graphs of [tex]7\le d \le 10[/tex] and [tex]b + d \le 15[/tex]
From the attached graph, we have the following possible values
[tex](b,d) =(5,10) (8,7)[/tex]
Substitute these values in [tex]14.5b + 9.5d \ge 140[/tex]
So, we have:
At (5,10):
[tex]Earnings = 14.5 \times 5 + 9.5 \times 10[/tex]
[tex]Earnings = 167.5[/tex]
At (8,7):
[tex]Earnings = 14.5 \times 8 + 9.5 \times 7[/tex]
[tex]Earnings = 182.5[/tex]
The earnings at point (8,7) is greater than (5,10).
Hence, she should work as a dishwasher for 7 hours, and as a babysitter for 8 hours, to earn as much money
Read more about inequalities at:
https://brainly.com/question/18881247
Find the measure of the angle indicated in bold
Answer:
Which of these factors is involved in earthquake formation?
plates getting larger
rocks breaking
stress that decreases
faults that remain stationary
Step-by-step explanation:
Which number is not a whole number ? A. 8. B. -10. C. 0. D.18/3
Answer:
B. -10 its a negative number
system equations -2x-6y=-16
Answer:
x=−3y+8
Step-by-step explanation:
Step 1: Add 6y to both sides
−2x=6y−16
Step 2: Divide both sides by -2
−2x/−2 = 6y−16/−2
x=−3y+8
Im hoping this was very helpful : )
Do u like my drawing? I was supposed to become an artist for a day and I messed up soooo i went with it lol
Answer:
The drawing looks goood.
Answer:
good
Step-by-step explanation:
it looks good better than mine