Answer: 2x+y=-6
Step-by-step explanation:
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
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:
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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.
Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
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
Question 5 : CONSUMER MATH
Answer:
23.1345 is the answer I am not that sure though
Find AB
Round to the nearest tenth.
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
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.
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
Estimate how much MORE water it would take to completely FILL the vase to the top?
Answer:
81πinc^3
Step-by-step explanation:
Volume of glass = π(3)^2(12) = 108πin^3
Volume of water in glass = π(3)^2(3) = 27πin^3
Volume needed to fill completely = 108π - 27π = 81π^3
Topic: Mensuration
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solve this problem: 125^-1/3×49^-1/2
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
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
Samuel orders four DVDs from an online music store. Each DVD costs $10.00. He has a 20% discount code, and sale tax is 6.75%. What is the total cost of his order
Answer:
$34.40
Step-by-step explanation:
this equation has 3 steps
1. to find out how much the dvds cost without any discount or tax: $40
2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32
3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4
Answer:
$34.7
Step-by-step explanation:
40 x 0.0675 to find the tax.
40 x 0.8 to find how much to pay
40 x 0.0675 = 2.7
40 x 0.8 = 32
32 + 2.7 = 34.7
Phillipe exercises on a treadmill 5 days a week. For each session, he warms up by walking for 10 minutes and then runs at a constant speed of 12
kilometers per hour. He cools down by walking for 5 minutes. If Phillipe runs 100 kilometers per week, which statement is true?
O Each treadmill session takes about 9 hours.
O Each treadmill session takes about 3 hours.
O Each treadmill session takes about 2 hours.
Each treadmill session takes about 8 hours.
Answer:
each would take about 8 hours. all youd need to do is divide 100 kilo by 12 because thats how much he runs in one hour. so 100 kilometers per week would take 8.3, which is rounded to ~about~ 8
The true statement is Each treadmill session takes about 2 hours.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
He runs at a constant speed of 12 kilometers per hour for 5 days per week.
If he runs 100 kilometers per week
So, each day he runs
= 100 /5
= 20 Km
and, he runs 20 Km in
= 20 /12
= 1.666
= 2 hours approximately.
Hence, Each treadmill session takes about 2 hours.
Learn more about unitary method here:
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Rewrite this statement 8 x 2 + 5 = 56
Answer:
8+293#+99393489494
Step-by-step explanation:
what?
PLEASE ANSWER THIS ASAP !!!!
Answer:
y = (1/2)x + 2
Step-by-step explanation:
Find the slope:
Take the rise over run to find this- For every unit it goes up, it goes two units across, so it will be (1/2)
Find the y-intercept:
This is the value of y where the line intersects the y-axis- (0,2), so 2
Substitute these values in for m and b:
y = mx + b
y = (1/2)x + 2
Hope that helps! :)
Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
9514 1404 393
Answer:
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
Step-by-step explanation:
The standard form has mutually prime integer coefficients, with the leading coefficient positive. Clearing Katrarina's fraction of 2/3 can be accomplished by multiplying the equation by 3/2, as Sofiya advised.
The standard form is ...
6x -y = 12
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
Please help on this thanks
[tex]2(n-2)<3n-6[/tex]
↝ Multiply 2 inside (n-2) as we get 2n-4
[tex]2n-4<3n-6[/tex]
↝ Inequality is almost the same as equation so you just do the same like equation.
[tex]2n-4-3n+6<0\\-n+2<0\\-n<-2[/tex]
↝ Since it's Inequality. When the variable is negative, you have to make it positive.
[tex]n<\frac{-2}{-1}\\n<2[/tex]
↝ BUT! n < 2 isn't the right answer.
↝ Because for Inequality. Taking out the negative/Move the negative variable to another side ( from -n to n and -2 to -2/-1 = 2).
↝ You have to swap the inequality symbol after taking the off the negative variable.
↝ For example, if it is -n < 2 then the answer will be n > -2
or -n < -3 then the answer will be n > 3
But if it is n>2-3 as we get n>-1, not n < -1 because the variable isn't negative at all.
Basically, we swap the inequality symbol when it's negative variable.
↝ Therefore, it's not n < 2 but it is n > 2
So the right choice is n > 2 also known as the ( D ) answer.
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:
Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job. Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude? One landscaper charges $20 for 5 hours of work. One landscaper’s hourly rate is $15 lower than the other landscaper’s. Both landscapers charge the same hourly rate and the same fee per job. Both landscapers charge the same hourly rate, but not the same fee per job.
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
Answer:
Both landscapers charge the same hourly rate, but not the same fee per job.
Step-by-step explanation:
I took the test and got it correct
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:
cuación. 3(x + 2) – 6 = 3x
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
HELP ME PLEASE!!!! It’s an emergency
Answer:
the answer is 20
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.
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:
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: