Jace is working two summer jobs, making $18 per hour lifeguarding and
making $10 per hour washing cars. In a given week, he can work a maximum
of 13 total hours and must earn no less than $170. If x represents the number
of hours lifeguarding and y represents the number of hours washing cars,
write and solve a system of inequalities graphically and determine one
possible solution.
Answers
Answer:
One possible solution is Jace spends 5 hours lifeguarding and 8 hours washing cars
Step-by-step explanation:
The parameters of the two summer jobs Jace is working are;
The amount Jace makes for Lifeguarding = $18 per hour
The amount Jace makes for washing cars = $10 per hour
The number of hours he can work a week ≤ 13 hours
The amount he must earn in a ≥ $170
Whereby we have;
x = The number of hours Jace spends lifeguarding
y = The number of hours Jace spends washing cars
The system of inequalities are;
x × 18 + y × 10 ≥ 170
x + y ≤ 13
Making y the subject of the formula of both inequalities gives;
For the first inequality, we have;
x × 18 + y × 10 ≥ 170
10·y ≥ 170 - 18·x
y ≥ 170/10 - 18/10·x
y ≥ 17 - 1.8·x
For the second inequality, we have;
x + y ≤ 13
y ≤ 13 - x
Graphing both inequalities is drawn using Microsoft Excel
Equating both inequalities, given in relation to the y-values, the point where the two lines representing both inequalities meet is given as follows;
17 - 1.8·x = 13 - x
17 - 13 = 1.8·x - x
4 = 0.8·x
x = 4/0.8 = 5
y ≤ 13 - x gives;
y ≤ 13 - 5
y ≤ 8
Given that both relationships are either ≤ or ≥, we have the point where both inequalities meet is one possible solution
Therefore;
One possible solution is x = 5 hours, y = 8 hours
The number of hours Jace spends lifeguarding = x = 5 hours
The number of hours Jace spends washing cars = y = 8 hours.
Related Questions
what is the value of X
Answers
Answer:
x = 12
Step-by-step explanation:
the two equations shown should add up to 180. so I did this equation: (10x-20)+ (6x+8) = 180 and I solved for x
Please HELP me!!!! I will mark as brainlist!!!
Answers
Answer:
4. CDB+DBE= CBE (55+35=90)
5. Definition of a right angle (90 degrees)
6. Linear pair postulate ( i think)
7. ABC and CBE are both 90 degrees
Step-by-step explanation:
Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answers
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
I think
Step-by-step-explanation
:D
Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed
Answers
Answer:
0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5
Step-by-step explanation:
PLS GIVE BRAINLIEST
If you have seen the user GOGETA10 please let me know. He is important to me
Answers
Answer:
sure
Step-by-step explanation:
Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done
Answers
2) 2
3) -1
4) 0
+++
Evaluating the given expressions and simplifying the answers, we would have:
1. 6
2. 2
3. -1
4. 0
How do you Evaluate an Expression?To evaluate an expression, plug in the value of the variable given and simplify.
Thus:
1. 5 - x/3 for x = -3
Substitute x = -3 into the expression
5 - (-3)/3 = 5 - (-1) = 6
2. - 2 + 2x/3 for x = 6
-2 + 2(6)/3
-2 + 4
= 2
3. 2 - 3x/4 for x = 4
2 - 3(4)/4
2 - 3
= -1
4. -3 + x/2 for x = 6
-3 + 6/2
-3 + 3
= 0
Therefore, evaluating the given expressions and simplifying the answers, we would have:
1. 6
2. 2
3. -1
4. 0
Learn more about evaluation of expression on:
https://brainly.com/question/3590570
A recipe calls for a total of 3 and two-thirds cups flour and sugar. If the recipe calls for One-fourth cup of sugar, how much flour is needed?
Answers
Given:
A recipe calls for a total of 3 and two-thirds cups flour and sugar respectively.
To find:
The flour needed if the recipe calls for one-fourth cup of sugar.
Solution:
According to the question,
[tex]\dfrac{2}{3}[/tex] of sugar needs 3 cups of flour.
[tex]1[/tex] of sugar needs [tex]\dfrac{3}{2}\times 3[/tex] cups of flour.
[tex]\dfrac{1}{4}[/tex] of sugar needs [tex]\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex] cups of flour.
Now,
[tex]\text{Required flour}=\dfrac{1}{4}\times \dfrac{3}{2}\times 3[/tex]
[tex]\text{Required flour}=\dfrac{9}{8}[/tex]
Therefore, the required flour is [tex]\dfrac{9}{8}[/tex] cups.
solve the equation
7x^2+21=0
Answers
7x^2=-21
Divide by seven on both sides
X^2=-3
Square root both sides
***X= square root of -3***
:)
help please this is also do very very soon thank you!!!
Answers
Answer:
700
Step-by-step explanation:
100:2
???:14
14*100
=1400
1400/2
=700
Answer:
The answer is 650
Step-by-step explanation:
You need to find the slope.
i took the points (2, 100) and (4, 200)
Then i put it into the slope formula which is y2 - y1/ x2- x1
I got that the slope is 50. So every two hours 5o millmeters for water drops. So now at 12 hours on the graph it says 600 millimeters of wate has already dropped. The graph is at intervals of two. Now at the next point it will be 14. So just add 50 to 600 and you get 650. So at 14 hours 650 water should have dripped
pls mark brainlest
Help me again!!!!!!
!!!!
Answers
Answer:
D
Step-by-step explanation:
the part two shows that 20 tickets were purchased adult and child
adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.
HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?
Answers
450,000-28800= 421,200.
you pay $175 for 5 football tickets. How much will you for each (1) ticket?
Answers
Answer:
Step-by-step explanation:
175 ÷ 5 = 35
$35 per ticket
Answer:
35
Step-by-step explanation:
It's cuz you want to know how much one ticket costs right?
Sp do 175 divded by 5
You should get 35 as the answer!
Find a number that is a solution of the inequality x < –8.
–5
0
–10
Answers
Answer:
-10
Step-by-step explanation:
hope this can help :)
Answer:
-10
Step-by-step explanation:
because 0 is greater than all the other numbers and -5 is closer to 0 than -10.
Can someone help me
Answers
Answer:
x = 15°
Step-by-step explanation:
We know that a triangle totals up to 180° when you add together all the angles. Using that, we can then add up the two angles we already know and solve for x.
106° + 59° = 165°
180° - 165° = 15°
Marcus and his family are planning a vacation that involves horse back riding. Horseshoe Ranch charges a $12.95 ranch entrance fee plus a $14.95 an hour to rent horses for horse back riding. Mary is going to rent a horse for 3 hours, how much will she spend?
Answers
Answer:
$57.8
Step-by-step explanation:
Horseshoe ranch charges $12.95 ranch entrance fee
$14.95 is paid per hour to rent the horse
Therefore since Mary is going to rent the horse for 3 hours then the total amount she will spend can be calculated as follows
= $12.95 + $14.95×3
= $12.95 + $44.85
=$57.8
soo john has 50 candy bars and he eats 50% of them what does he have now.
Answers
Answer:
25 candy bars
Step-by-step explanation:
Answer:
25 candy barsStep-by-step explanation:
50 * 0.5 = 2550*1/2 = 2550/2 = 25You can use these ways to figure out the answer. The answer is 25 candy bars.
Hope this helped,
Kavitha Banarjee
lol i literally just asked for help on a different problem, but this is a word problem and they always confuse me
problem:
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds. Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?
Answers
Answer:
D) 3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
The order of the puppies' weights from least to greatest is the following:
[tex]3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}[/tex]
Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.
Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.
[tex]8\frac{1}{5} < 8\frac{1}{3}[/tex]
This is why the correct option is D.
Answer:
D
Step-by-step explanation:
The weight of an object on Earth varies directly as the weight of the same object on the moon. A 300 pound object on Earth would weigh 48 pounds on the moon. How much would a 75 pound object on Earth weigh on the moon? (Type your number answer. NO LABELS) *
Answers
Answer: 12 pounds.
Step-by-step explanation:
To solve this question, we'll use the direct proportion which is.
y = kx
Where,
y = weight on moon = 48 pounds
x = weight on Earth = 300 pounds
k = Unknown
y = kx
48 = 300k
k = 48/300
k = 0.16
The weight that a 75 pound object on Earth would weigh on the moon will be:
y = kx
where,
y = weight on moon = Unknown
k = 0.16
x = weight on Earth = 75 pounds
y = kx
y= 0.16 × 75
y = 12 pounds
The weight on the moon will be 12 pounds.
-6x + 5xy - 9y - 3x + 7 =....need help again!!sorry
Answers
Answer:
=5xy−9x−9y+7
Step-by-step explanation:
Let's simplify step-by-step.
−6x+5xy−9y−3x+7
=−6x+5xy+−9y+−3x+7
Combine Like Terms:
=−6x+5xy+−9y+−3x+7
=(5xy)+(−6x+−3x)+(−9y)+(7)
=5xy+−9x+−9y+7
Answer:
=5xy−9x−9y+7
I need helppppp I forgot how to do this :(
Answers
a=associates / p=partners
1a= $800 / 1p= $1500
(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800
(x)a + (y)p = $z
hope this helps :)
the side lengths of a triangle are 6, 8 and 12 is this a right triangle
Answers
Answer:
No it is not a right triangle.
Step-by-step explanation:
We calculate the squares of the two littlest sides and add them :
6² + 8² = 36 + 64 = 100
We now calculate the square of the biggest side :
12² = 144
They are not equal, and thus, the triangle is not a right triangle.
Hope this helped! If so, plz mark brainliest.
Answer:
No, Because 6^2 + 8^2 = 12^2
Step-by-step explanation:
The diameter of a proton is 1.7 x 10-15 meters and the diameter of an atom is 5 x 10-10 meters. What is the difference in the diameters? Write your answer in scientific notation.
Answers
Answer:
[tex]4.99\times 10^{-10}\ m[/tex]
Step-by-step explanation:
Given that,
The diameter of a proton is 1.7 x 10⁻¹⁵ meters
The diameter of an atom is 5 x 10⁻¹⁰ meters.
We need to find the difference in the diameters.
[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]
So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].
HELP For each triangle, find x and the measure of each side.
△FGH is an equilateral triangle with FG = x +5, GH = 3x – 9, and FH = 2x –2.
I DID ALGEBRA LAST YEAR HOW AM I SUPPOSED TO REMEMBER THIS AHHH
Answers
Answer:
5
Step-by-step explanation:
the square root of 72 is it closer to 8 or 9
Answers
EASY POINTS
Which statements are true? Check all that apply.
All rectangles are squares.
All rhombi are parallelograms.
All squares are rhombi.
All trapezoids are parallelograms.
No trapezoid is a rectangle.
Answers
Answer:
1 is true
2 is true
3 is true
Answer:
1 check
2 check
3 no check
4 no check
5 check
Step-by-step explanation:
The ratio of girls to boys at soccer practice is 3:4. If on Saturday there will be a total of 42 players, how many boys will be playing and how many girls?
Answers
Answer:
[tex]Boys = 24[/tex]
[tex]Girls = 18[/tex]
Step-by-step explanation:
Given
[tex]G:B= 3:4[/tex]
[tex]Total = 42[/tex]
Required
Determine the number of boys and girls
We have to convert the ratio to fraction;
Number of girls can be calculated as:
[tex]Girls = \frac{G}{G + B} * Total[/tex]
[tex]Girls = \frac{3}{3 + 4} * 42[/tex]
[tex]Girls = \frac{3}{7} * 42[/tex]
[tex]Girls = 3 * 6[/tex]
[tex]Girls = 18[/tex]
[tex]Boys = Total - Girls[/tex]
[tex]Boys = 42 - 18[/tex]
[tex]Boys = 24[/tex]
2 1/2 + 3 5/8
Add the fractions
Answers
Answer:
This equals 6 1/8
Step-by-step explanation:
Hope it helps!
Answer:
6 1/8
2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4
after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8
A line passes through the points (4, 3) and (- 2, 1) . The slope of this line in simplest form is
Answers
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 3)
Point (-2, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-3}{-2-4}[/tex]Subtract: [tex]m=\frac{-2}{-6}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Answer:
1, 1/2 2, 4/3
Step-by-step explanation:
If we graph each points. Slope = rise/run
1. U would go 1 up and go 2 to the right. Which equals 1/2 so it’s simplified
2. U would go 4 to the right side and 3 down. Which equals 4/3 u can put it in a decimal if u want or keep it 3/4 it’s fine.
describe a real-world situation that models the multiplication expression 20(-1).
Answers
Basically you can write taking from something or using something 20 times. Here are three examples.
You borrowed 1 dollar from someone 20 times. You descend 1 meter at a time (like a submarine).There are 20 candies in the jar. Each day you eat 1 candy.I will mark you brainiest and I will gave you 100 points to answer the question correctly A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.
It is unlikely the point is in region A.
It is likely the point is in region C.
It is likely the point is in region G.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
I try C,D,E but I got wrong.
Answers
Answer:
It is unlikely the point is in region A.
It is impossible for the point to be in region H.
It is certain that the point will land in a lettered region.
Step-by-step explanation:
Hope it helps!