Harper is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, she can work at most 7 total hours and must earn a minimum of $80. If x x represents the number of hours lifeguarding and y y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.
Answers
Answer:
We know that:
She makes $19 per hour of lifeguarding.
She makes $8 per hour walking dogs.
She can work at most 7 hours per week.
She must earn a minimum of $80 per week.
If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, the inequalities will be:
x + y ≥ 7 hours.
(this says that she can work at most 7 hours per week)
x*$19 + y*$8 ≥ $80
(this says that she can earn a minimum of $80)
Then the system of inequalities is:
x + y ≥ 7 hours.
x*$19 + y*$8 ≥ $80
To graph these two we can write them as lines in standard form and simply graph both inequalities, the solution of the system will be the intersection between the solutions of each inequality.
Here we also should add the inequalities:
x ≥ 0
y ≥ 0
So we only look at the first quadrant.
The graph can be seen in the image below: (the dark blue is the solution region for the first inequality, the light blue one is the solution region for the second inequality)
One possible solution can be:
x = 4 and y = 1
or
x = 4 and y = 2
and there are a lot of other possible solutions.
Answer:
Step-by-step explanation:
Related Questions
Help will give crown I don’t not get this
Answers
Answer:
4 - 0.6 (Repeating) x = 0.75
Step-by-step explanation:
You divide the fractions by each other ex. 2 divided by 3
Answer:
[tex] 48 - 8x = 9[/tex]
Step-by-step explanation:
Multiply both sides by LCM. which is 12.
[tex]12(4 - \frac{2}{3} x) = \frac{3}{4} \times 12[/tex]
[tex]48 - 8x = 9[/tex]
I’ll mark brainliest! Please help!!
Rectangle ABCD has coordinates A(-10,5) B(10,5) C(10,0) and D(-10,0). Rectangle A’B’C’D’ has coordinates A’(-10,-5) B’(10,-5) C’(10,0) and D’(-10,0). Rectangle A’’B’’C’’D’’ has coordinates A”(-2,-1) B”(2,-1) C”(2,0) and D”(-2,0), which transformations describe why rectangles ABCD and A”B”C”D” are similar?
A)) rectangle ABCD was reflected across the X axis and then dilated by a scale factor of 1/5 to form rectangle A”B”C”D
B)) rectangle ABCD was dilated by a scale factor of 5 and then rotated 90 degrees counterclockwise to form rectangle A”B”C”D”
C)) rectangle ABCD was dilated by a scale factor of 1/5 then rotated 90 degrees counterclockwise to form rectangle A”B”C”D”
D)) rectangle ABCD was reflected across the Y-axis and then dilated by a scale factor of 5 to form rectangle A”B”C”D”
Answers
Answer:
A
Step-by-step explanation:
I linked a drawing below
Rectangle ABCD-Purple
Rectangle A'B'C'D'- Turquoise/Blue
Rectangle A''B''C''D''- Maroon/Red
Plz help me solve and show your work.
Answers
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.
Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.
Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.
Who paid the least amount of money for the iPhone repair?
Answers
Answer:
natasha paid the least amount
which expression is equivalent to
-2(x+4) -(3x+8)?
A) 5x+16
B) 5x-16
C) -5x+16
D) -5x-16
Answers
Answer:
D
Step-by-step explanation:
-2x - 8 - 3x - 8
= - 5x - 16
What is i^34?
A. -1
B. -i
C. 1
D. 1
Answers
Answer:
A.-1 all you had to do was look up the answer
Step-by-step explanation:
If your input is 7 what is your output?
Answers
Answer:
the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32
Figure A to figure B?
Is that right?
Answers
Answer:
d
Step-by-step explanation: cause thats the only answer that will maked sense
The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.
Answers
Answer:
I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :
→ The cost (C) is equal to 45$ a day (d) plus 25$!
Now that your equation is put into words, all that you have to do is write down the equation without the words :
→ C = (45d) + 25
If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :
d = 7 (in this particular situation)
C = (45 × 7) +25
↓
C = 315 + 25
↓
C = 340
→ So it would cost 340$ to rent a car for a week!
credit goes to naomi479xx for solving this answer.
Help!
Please type step by step!
Answers
Answer:
llllllllllllllllllllll
Step-by-step explanation:
hope this helps u....
At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?
Answers
445 . Answer:
Step-by-step explanation:
Write any two irrational numbers between 0.7575496 and 0.784218972.
Answers
Answer:
2 rational numbers are:
0.766766676666766666.....
0.766766676666766666.....0.77896543567543120.....
How many minutes are there in 12.5 hours?
Answers
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
6 Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12
Answers
Answer:
C) x = -2
Step-by-step explanation:
x = -2 is a vertical line with intersects the x-axis at -2; vertical lines are not functions
A developer wants to divide an 84 acre parcel of land into lots in the ratio 6:2:4. How many acres are each land division. WILL AWARD BRAINLIEST.
Answers
Answer:
42 acres, 14 acres, 28 acres
Ryan's take-home pay is $2,500 each month. The amount for gas is $125. Calculate the percentage Ryan uses on gas from his take-home pay. please help!! O^O
Answers
Answer: 5%
Step-by-step explanation:
Since Ryan's take-home pay is $2,500 each month and the amount for gas is $125.
The percentage that Ryan uses on gas from his take-home pay will be:
= Amount used on gas / Take home pay × 100
= 125/2500 × 100
= 1/20 × 100
= 5%
He used 5% on gas.
Find and interpret the standard deviation of the set of data. 7. {6, 8, 2, 3, 2, 9}
Answers
Answer:
3.1
Step-by-step explanation:
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answers
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
John saved up enough money to buy a $20 can of shoe shine after paying for the $150 pair of Nikes. How much money did he save in all?
Answers
Answer:
170$
Step-by-step explanation:
150+20=170
Answer:
Step-by-step explanation:
170
Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answers
Answer:
0.03
Step-by-step explanation:
!
HELP PLS MY CLASS IS ALMOST STARTING
Answers
Please help! Tysm if you do!
Answers
Answer:
A
Step-by-step explanation:
We can solve this problem by eliminating wrong answers
It can be b because there is no 3
It can be c because the equation would be 4+3
And it can be d because the equation would be 3x+4
so it must be a
Answer:
option A is correct
as additional page costs is not fixed so there will be any value of x with multiply by 4
and the fixed remain only one time so it remains fixed and 3 is also fixed.
Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?
Answers
Answer:
She can make 55 bracelets
Step-by-step explanation:
We have the correct question as follows;
Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make
we have the solution as follows
Firstly, we need to find the total length of the strings bought
We can get this by adding what was bought
That would be;
15 1/6 + 12 1/3
= 91/6 + 37/3
= (91 + 74)/6 = 27 1/2 ft
From the question, each bracelet requires 1/2 ft long
so the number of 1/2 ft long bracelets we can find will be;
27 1/2 divided by 1/2
= 55/2 * 2/1
= 55
Express as a trinomial.
(2x – 9)(3x +4)
Answers
Answer:
5x^2-19x-36
Step-by-step explanation:
(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)
5x^2 + 8x - 27x - 36
5x^2 - 19x - 36
Expression as a trinomial is 6x² -19x -36.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
An expression,
(2x – 9)(3x +4).
To express as a trinomial:
(2x – 9)(3x +4),
= 6x² -27x + 8x -36
= 6x² -19x -36
Trinomial is a quadratic function.
Therefore, as a trinomial is 6x² -19x -36.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ2
please help me! Ten men and 15 women apply for a job. All are equally qualified and 4 applicants are selected at random for hiring. Find the probability, to the nearest thousandth, of hiring exactly 3 women. FYI: i don't want links at all.
Answers
Answer:
3,600
Step-by-step explanation:
15 equality of 4 applicants which is subductive to the inequality of quotients.. Simplified to 3,600
We can rewrite the expression 16+8 as 8 x (2+1). Notice that 8 is the greatest factor of 16 and 8. Use this same method to rewrite the expression 24+36 as the product of the greatest common factor of 24 and 36 and the sum of the remaining numbers. 24 + 36 = ____________
Answers
Answer:
60
Step-by-step explanation:
24+36=60
Answer:
60
Step-by-step explanation:
24+36=60
I need help with this question
Answers
Answer:
2n=12
Step-by-step explanation:
The next step would be to subtract four from each side getting 2n=12 or B
Choose the correct simplification of the expression (a^2 multiplied by b^5)^3
A^6/b^15
A^5/b^8
A/b^15
A^6/b^11
Answers
Answer:
1
Step-by-step explanation:
the first one because if you take the expression that you want, and expanding it out, you will get the first one.
Answer:
A
Step-by-step explanation:
(a^2)^3 (b^5)^3
The powers multiply when written like this. They don't add.
a^6 b^15
A
How to find coordinates of a point using ratio
Answers
m1=3, m2= 1
point A= (-5,4)
point B=(7,-2)
x=m1x2+m2x1/ m1+m2 , y=m1y2+m2y1 / m1+m2
x= 3×7 +1×-5/3+1 , y= 3×-2+1×4 / 3+1
x= 21-5/4, y= -6+4/4
x= 16/4, y= -2/4
x= 4, y= 0.5
Solve for x
(3x-4)/14=9/10
Answers
Answer:
x=5.53333333333333333333333333333333333333333
Step-by-step explanation:
cross multiply and solve:
30x-40=126
30x=166
x=5.533333333333333333
