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
Mai paid $16 for 4 pumpkin pie slices. How many pumpkin pie slices is that per dollar?
Answers
What is -5 5/8 + 3 1/2
Answers
Answer:
-2.125
Step-by-step explanation:
Study circle C, where diameter AB is perpendicular to chord MN at point O.
The diagram as described in the text.
If MO = 5x − 7 and NO = 18, what is the value of x?
Enter the correct value.
Answers
Answer:
5
Step-by-step explanation:
Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.
5x-7 = 18
5x = 25
x = 5
The answer to question and to the value of x is 5
=1/3(3w - 12)= 1/6( 24-6w)
Answers
+1w +1w
——————
2w-4=4
+4 +4
—————
2w=8
———
2. 2
w= 4
Answer:
i got you it's w=4
Step-by-step explanation:
2w/2=8/2 your going to divide both sides by 2. simplify that which gives you w=4
1 1/3 - 2 1/5 + 7/10
Answers
:)
Answer:
[tex]-\frac{1}{6}[/tex]Step-by-step explanation:
[tex]1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}[/tex]
[tex]=-\frac{13}{15} +\frac{7}{10}[/tex]
[tex]=-\frac{1}{6}[/tex]
Elijah's puppy weighs 35 ounces if he weighed 19 ounces at the last visit to the veterinarian's office what is the percent increase in the puppy's weight rounded to the nearest whole number
Answers
Answer:54.29%
Step-by-step explanation:
Is this a proportional relationship
Answers
Answer:
Yes, this is a proportional relationship due to the fact that each total cost divided by the number of downloads are all equal to 3.
One root of is x = 2. What are all the roots of the function? Use the Remainder Theorem. x = 2, x = 3, or x = 4 x = –2, x = –3, or x = –4 x = 1, x = 2, x = 3, or x = 13 x = –1, x = –2, x = –3, or x = –13
Answers
Answer:
A. x = 2, x = 3, or x = 4
I got 100%
Answer:
A
Step-by-step explanation:
Because the guy above me is correct
She visited Creepy Cavern at (-2, 5), Bernie's Barn at (-3, 2), Sweet Symphonies at (-3, -1), Rock and Roll Hall at (-2, -4), Whimsical Wonders at (3, -4), Mystery Mansion at (3, 2), and Star Gazing Point at (5, 5). Which of these pairs of places are more than 6 units from one another?
Answers
Answer:
We need to find the distance between the pairs of points to know which is greater than 6units. To do that we make use of this formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where [tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] are two points on the line.
Let us denote Creepy Carven with CC, Bernie Barn as BB, Sweet Symphonies as SS, Rock and Roll Hall as RR, Whimsical Wonders as WW, Mysterial Mansion as MM and Star Grazing point as SG.
The distance between CC (-2, 5) and BB(-3, 2) using that formula will be:
[tex]d = \sqrt{(-3 + 2 )^2 + (2 - 5)^2}[/tex]
Which is [tex]d = \sqrt{(-1 )^2 + (-3)^2}[/tex]
That gives
[tex]d = \sqrt{10} < 6[/tex]
If we do this for BB to SS we have our value greater than 6, SS to RR our value greater than 6, RR to WW greater than 6, WW to MM is equal to 6 and MM to SG is less than 6.
From here we conclude that the pairs of places greater than 6 is:
BB to SS
SS to RR
RR to WW
WW to MM
Answer:
First, plot each of the points and label them.
Determine the distance between the pairs of places listed in each answer choice.
Since Whimsical Wonders and Rock and Roll Hall lie on the same horizontal line, the distance between the two points is the absolute value of the difference of the x-coordinates.
Using this same process, the distance between Bernie's Barn and Mystery Mansion is 6 units, and the distance between Creepy Cavern and Star Gazing Point is 7 units.
Since the Mystery Mansion and Whimsical Wonders lie on the same vertical line, the distance between the two points is the absolute value of the difference of the y-coordinates.
Using this same process, the distance between Rock and Roll Hall and Creepy Cavern is 9 units, and the distance between Sweet Symphonies and Bernie's Barn is 3 units.
Therefore, the pairs of places that are more than 6 units from one another are Creepy Cavern and Star Gazing Point and Rock and Roll Hall and Creepy Cavern.
Step-by-step explanation:
hii i need help on another question!
find the total cost to the nearest cent.
$24 shirt; 6% tax
Answers
The answer is $25.44. You need to add the cost of the shirt and the tax together for the answer. The cost of the shirt is $24 and the tax of it is $1.44. So $24 + $1.44 = $25.44.
Answer:
$25.44Step-by-step explanation:
total cost of shirt = $24 x 1.06
= $25.44
What is the constant of proportionality in the equation y = 0.41x?
Answers
Answer:
0.41
Step-by-step explanation:
because its 0.41 it cant be reduced or messed with so your answer is 0.41
Kain graphs the hyperbola (y+2)^2/64 − (x+5)^2/36 = 1 . How does he proceed? Drag a value, phrase, equation, or coordinates in the boxes to correctly complete the statements.
Answers
I just took the test
1st Box. (-5,-2)
2nd Box. up and down
3rd Box. 8
4th Box. (-5, 6), (-5,-10)
5th Box. 4/3
6th Box. y+2=+/-4/3(x+5)
Answer:
1st Box. (-5,-2)
2nd Box. up and down
3rd Box. 8
4th Box. (-5, 6), (-5,-10)
5th Box. 4/3
6th Box. y+2=+/-4/3(x+5)
are the correct choices. Here are screenshots for your convenience.
Step-by-step explanation:
Heres a set of data 2.4, 1.6, 3.2, 0.3, 1.5 each peice of data is increases by 10, what is the mean? each new peice of data is doubles, whats the new mean?
Answers
Step-by-step explanation:
Mean is the ratio of the sum of the sample data to the total sample size.
1) Given the set of data 2.4, 1.6, 3.2, 0.3, 1.5, if each piece of data is increases by 10, the new data's will be;
(10+2.4), (10+1.6), (10+3.2), (10+0.3), (10+1.5)
sum of the new data's = 59
Sample size = 5
Mean = 59/5
Mean = 11.8
Hence if the price of data is increases by 10, its new mean will be 11.8
2) If each new piece of data is doubles, the new set of data will be;
2(2.4), 2(1.6), 2(3.2), 2(0.3), 2(1.5)
= 4.8, 3.2, 6.4, 0.6, 3.0
Sum of new data = 4.8+3.2+6.4+0.6+3.0
Sum of new data = 18
sample size = 5
Mean = 18/5
Mean = 3.6
Hence the new mean if the data were doubles is 3.6
Put these in order starting from the smallest
5^2 2^4 3^3 1^8
Answers
Answer:
1^8, 2^4, 5^2, 3^3 is the answer.
The numbers ordered from the smallest to the largest is [tex]1^{8} , 2^{4} , 5^{2} , 3^{3}[/tex].
What is the order of the numbers?In order to determine the order of the numbers, we have to solve for the numbers. The power of a number can be solved by multiplying a number by its number of power.
[tex]5^{2}[/tex] = 5 x 5 = 25
[tex]1^{8}[/tex] = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1
3³ = 3 x 3 x 3 = 27
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2 = 16
To learn more about perfect squares, please check: https://brainly.com/question/22947195
NG
1. An exterior angle of a triangle has a measure of 68º. Which of the following could not be the measure of
one of its remote interior angles?
Answers
Answer:
(4) 71°
Step-by-step explanation:
The sum of remote interior angles is equal to the sum of exterior angle.
The angle that could not be the measure of one of its remote interior angles is 71 degrees
First, we must understand that any interior angle of a triangle cannot be greater than its exterior angle.
The correct value in the given option will be any angle that is greater than 68 degrees.
From the given options, we can see that the only angle that is greater than 68 degrees is 71 degrees.
Hence the angle that could not be the measure of one of its remote interior angles is 71 degrees
Learn more here: https://brainly.com/question/24231058
PLEASE ANSWER THIS ASAP !!!!!!
Answers
Answer:
Step-by-step explanation:
b
Gregory sees an $80.00 jacket on sale at 30% off. How much will it cost after a 7% sales tax is applied?
Answers
IT'S B
HOPE THIS HELPED MARK ME BRAINLIST PLS HAVE A NICE DAY
Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary
Answers
Answer:
The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C
Step-by-step explanation:
The formula of the distance between the two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Let us use the formula above to solve the question
∵ Jk is a line segment
∵ J = (4, 8) and K = (-1, -2)
∴ x1 = 4 and y1 = 8
∴ x2 = -1 and y2 = -2
→ Substitute them in the formula above
∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]
∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]
∴ Jk = [tex]\sqrt{25+100}[/tex]
∴ Jk = [tex]\sqrt{125}[/tex]
→ Simplify the root
∵ 125 = 5 × 5 × 5
∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]
∴ JK = 5[tex]\sqrt{5}[/tex]
∴ The length of segment JK is 5[tex]\sqrt{5}[/tex]
please help, the brainiest will go to the one with a good answer.
Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z
A. -3x^2yz^4
B. 3yz^4/1x^2
C. -9yz^5/-3x^2
D. 36yz^5/12x^2
Answers
.
Round 1.567 to the nearest tenths place.
1.5
1.6
1.57
1.56
Answers
Answer:
1.567 rounded to the nearest tenth place
5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.
1.6 is your answer
Unit 2 lesson 5 practice problem 3 in math workbook
You get 15 points if you answer this.
Answers
Answer:
what do you need help with???
1. The model represents an equation.
Which is the value of x for this equation?
1
X
х
1
х
1
1
1
1
1
1
1
A.X= 2
B.x= 4
C.x= 5
D.x = 6
Answers
Answer:
nice avatar and the answer is a
i
helppp
The value -2 is a lower bound for the zeros of the function shown below.
f(x) = 4x^3– 12x^2-x+15
A. True
B. False
Answers
What is the result of the arithmetic operation?
3**4 =
Answers
Answer:
81
Step-by-step explanation:
i did le math, and its right on ed2020
3(5 - 2n) + 9n simplified is?
Answers
Answer:
5n-2n²
---------- <--- line
3
What should be subtracted from the following expressions to make perfect square ?
: Question number 1 =
z⁴+z⁴
Answers
Answer:
i dont know the answer i just live and only socialize thru brainly and im 67 years old
Step-by-step explanation:
i dont know i dont have a phone i only have a 1972 computer
#8 linear inequality in two variables is shown below. -4y <-12. Which
graph would represent the solution set of linear inequality? (SOLVE FOR
Y!)
Can someone help explain it!!!
Answers
Answer:
J
Step-by-step explanation:
Step 1: solve for y
Step 2: graph y, use dashed line
Step 3: Shade in solutions, here y>3 so everything bigger then 3 is a solution.
Simplify the expression:
X^2 (2x + 3)
Answers
Answer:
2x^3+3x^2Step-by-step explanation:
x^2(2x+3)=(x^2)(2x+3)=(x^2)(2x)+(x^2)(3)=2x^3+3x^2Answer:
2x³ + 3x²Step-by-step explanation:
freeeeeeeeeeeeeeeeeeeeeeer pointk
Answers
welp thank you for this
1. A line with a slope of 2 passes through (3,-2). Write the equation in Point-Slope Form.
2. A line with a slope of 2 passes through (3,-2). Write the equation in Slope-Intercept Form.
Answers
2. Y=2x-8
Explanation:
Point-Slope Form: y-y1 = m(x-x1)
(x1,y1) => (3,-2)
Y-(-2)=2(x-(3)) —> y+2=2(x-3)
Slope-Intercept Form: y=mx+b
(3,-2). M=2 (slope)
-2=2(3)+b Y=2x-8
-2=6+b
-6
—————
-8=b