A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
a. create a system of equations or inequalities that models the situation. define the variables you use.
b. the graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation.
c. show all the points that represent the number of hours the student can work at each job and meet his goal.
Answers
Answer:
:)
Step-by-step explanation:
15x=300
x will equal 20
20x=300
x will equal 15
Inequalities are used to represent unequal expressions
System of equationsRepresent the number of lawns mown by x, and the number of gardens with y.
So, the system of inequalities are:
[tex]x + y \le 20[/tex] --- the number of hours worked, weekly[tex]15x + 20y \le 300[/tex] --- the earnings weeklyGraphSee attachment for the system of inequalities, and all the points that represent the hours worked
Read more about system of inequalities at:
https://brainly.com/question/14323743
Related Questions
- 7x - 50 - 2. This is my question.
Answers
Answer:
-7x-52
Step-by-step explanation:
This is the answer I got after solving it, so it should be correct unless I didnt answer the question in the right format.
PLEASE HELP
If this is the graph of f(x)=a^(x+h)+k then.
Answers
Answer:
a
Step-by-step explanation:
Answer: 0<a<1
Step-by-step explanation:
Which expression shows the sum of the polynomials with like terms grouped together?
10x’y+2xy2 - 4x2 - 4x^y
o [(-4x) + (-4x²y) + 10x?y] + 2xy?
o 10x+y+2xy?= [(-4x2)+(-4x²y)]
• (-4x2) + 2xy +[10x²y+ (-4x?y)]
o (10x+y+2xy?+ (-4x+y)]+(-4x)
Answers
Answer:
C (-4x2) + 2xy + (10x^2 y + ( -4x^2 y )
Step-by-step explanation:
I got it right on the test :3 UNUS ANNUS
Polynomial (3) [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex] gives the sum of the given polynomial [tex]10x^2y+2xy^2-4x^2-4x^2y[/tex] with like terms grouped together.
What is Polynomial?Polynomial is a mathematical expression made of one or more algebraic terms (variable) with different powers and different combinations and coefficients.
We can add or subtract only like terms in a polynomial, and like terms are which have the same variable combination with similar power but the coefficient can be different.
Here given polynomial is [tex]=10x^2y+2xy^2-4x^2-4x^2y[/tex]
Here we have to group the like terms in the given polynomial which are [tex]10x^2y,(-4x^2y)[/tex].
So grouping the like terms we can write the sum of the given polynomial as [tex](-4x^2)+2xy^2+[10x^2y+(-4x^2y)][/tex].
Hence option (3) is correct.
Learn more about Polynomial here -
https://brainly.com/question/1600696
#SPJ2
Find the value of y
Answers
Answer:
69 degrees
Step-by-step explanation:
The triangles are congruent because one of the angles is congruent to the other and the angle at the top is the same. The total number of degrees in a triange is 180. 180-(66+45 (the angle lenghts of the other 2 angles)) is equal to 180-111=69 degrees.
Please help!! I will give brainliest.
Answers
Answer:
7.) 0.7
8.) 1
9.) 4.24
Step-by-step explanation:
Answer:
4.24
Step-by-step explanation:
The smith family bought 6 sandwiches and 2 salads. They spent 72$. Let X be the cost of a sandwich and Y be the the cost of the salad.
Write a equation to model the situation.
Answers
Answer:
72=6x+2y
Step-by-step explanation:
Please help me?? Solve for x
Answers
This is because 180-95= 85 which would make 8x+5= 85
Subtract 5 from both sides and get 8x=80
Then, divide 8 from both sides and get x=10
Step-by-step explanation:
95+8x+5=180
100+8x=180
8x=80
X=80/8
x=10
The figure shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1. Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent.
Answers
Answer: E and G are similar and also congruent.
Step-by-step explanation:
Answer:
answer
Step-by-step explanation:
In a carnival drawing, a green ticket wins $1, a yellow ticket wins $5, and a blue ticket wins $10. There are 100 green tickets, 25 yellow tickets and 5 blue tickets. In simplest form, what are the odds in favor of winning $5 or more?
A. ) 1:4
B. ) 1:5
C. ) 1:25
D. ) 3:10
Answers
Answer:
D) 3:10
Step-by-step explanation:
Well only blues and yellows are at least $5. there are 25 yellows and 5 blues and if you add them together there's 30 in total. Now compare that 30 to 100 and you have 30:100. In the simplest form you have to divide both sides by 10 and it becomes 3:10.
PLEASE HELP ME!!!!!
This is due tomorrow and I am struggling. I don’t understand anything my math teacher teaches. I’m online cause I don’t like going to school and Im trying to make the best of it. I never thought this year I would have a math teacher like this. Last year my math teacher was such a good teacher. I passed every test in her class it was a piece of cake. But this year I’m not so lucky. So I’m asking if anyone can HELP ME PLEASE!!!! Oh and as a reminder there’s two math problems. U going to have to click it cause it’s an photo.
Answers
Step-by-step explanation:
2.
(2 + √3)(2 - √3)
x² - y² = (x + y)(x - y)x = 2, y= √3x² = 2² = 4y² = √3² = 3(2 + √3)(2 - √3) = 4 - 3 = 13.
(6 + √5)/(6 - √5)
Multiply both numerator and denominator by (6 + √5) to simplify(6 - √5) ((6 + √5) = 6² - √5² = 36 - 5 = 31(6 + √5)/(6 +√5) = 6² + 2*6*√5 + √5² = 36 + 12√5 + 5 = 41 + 12√5(6 + √5)/(6 - √5) = (41 + 12√5)/31Will the answer to this expression be POSITIVE or NEGATIVE?
- 100 - (- 98)
Answers
Answer:
-100-(-98)=-100+98=-2 then negative
negitive
the answer is -2 :)
What is |3|? I need help
Answers
PLS HELP WITH ALGEBRA QUESTION ON MATRICES. WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
I think A but for sure on C and D. Good luck
Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
30 miles from the town and is 48 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y =
8x+ 20.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?
A. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.
O B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
O C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly
D. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
Answers
Answer:
it si this
Step-by-step explanation:
Simplifying
4y + -10 = 5 + -1y
Reorder the terms:
-10 + 4y = 5 + -1y
Solving
-10 + 4y = 5 + -1y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add 'y' to each side of the equation.
-10 + 4y + y = 5 + -1y + y
Combine like terms: 4y + y = 5y
-10 + 5y = 5 + -1y + y
Combine like terms: -1y + y = 0
-10 + 5y = 5 + 0
-10 + 5y = 5
Add '10' to each side of the equation.
-10 + 10 + 5y = 5 + 10
Combine like terms: -10 + 10 = 0
0 + 5y = 5 + 10
5y = 5 + 10
Combine like terms: 5 + 10 = 15
5y = 15
Divide each side by '5'.
y = 3
Simplifying
y = 3
Answer: A.
Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly
I got this right so don't let anyone tell you different
A toy cannon ball is launch from a cannon on top of a platform the equation h(t)= -5t + 14t + 2 gives the height h, in meter, of the ball t seconds after it is launched.
A) determine if the ball reaches a height of 14 meters. explain your answer.
B) how long is the ball in the air?
Answers
Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answers
Answer:
414829.243 jumping jacks/minute
Step-by-step explanation:
Divide the total number of jumping jacks done by the total time.
[tex]\frac{184184184}{444} =414829.243[/tex]
Answer:
46
Step-by-step explanation:
2/3(-2)+4
2/3(-1)+4
2/3(0)+4
2/3(1)+4
2/3(2)+4
SOLVE PLEASE!!
Answers
Answer:
how do u want meto read it?
Step-by-step explanation:
How can you use x- and y- intercepts to graph an equation
Answers
Answer:
Since two points determine any line, we can graph lines using the x- and y-intercepts. To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y. This method of finding x- and y-intercepts will be used throughout our study of algebra because it works for any equation.
Please mark brainliest :)
Which compound inequality could be represented by the graph?
A. –4 ≤ x ≤ 4.
B. –2 ≤ x ≤ –1.
C. x ≤ –1 or x ≥ 0
D. x ≤ 3 or x ≥ –1.
Answers
Answer:
x ≤ 3 or x ≥ –1
Step-by-step explanation
(D) the answer is on edg 2020!
Answer:
D
Step-by-step explanation:
A) Side measures of the triangle are given. Apply the Pythagorean Inequality to
classify each triangle as Acute, Obtuse or Right triangle.
1) 15 yd ; 8 yd ; 17 yd
2) 10 in ; 9 in; 5 in
3) 18 ft; 11 ft; 14 ft
4) 17 yd; 13 yd ; 20 yd
Pls solve all it due soon plsssssssssss
Answers
Answer:
1 obtuse
2 acute and
3 acute and
4 obtuse
Step-by-step explanation:
PLEASE ANSWER ASAP I NEED IN 10 MINUTES
Below are two inequalities and the graphs of their lines without the shading. By imagining where the shading should be, identify which point would satisfy BOTH inequalities.
Answers
Answer:
Anything in the bottom center portion, under both diagonal lines, works. An example is (-2, 0)
Step-by-step explanation:
Answer:
(-3,9)
Step-by-step explanation:
20. If g(x) = x^3+9/3x evaluate g(-3)
Answers
Answer:
2
Step-by-step explanation:
-3^3+9/3*-3= 2 ypu have tu substitute the x by -3 always.
SOMEONE HELP ILL KISS U
Answers
Answer:
0, 5x
Step-by-step explanation:
0 in the first box
5x in the second box
What is 4 1/3 times 4 1/2
Answers
Answer:
19 1/2
Step-by-step explanation:
4 1/3 = 13/3
4 1/2 = 9/2
13/3 x 9/2
13/1 x 3/2 ( 3 goes into nine so i simplified)
13 x 3/1 x 2 = 39/2 = 19 1/2
Please help... Question is in the picture
Answers
Answer:
B) (0,1)
Step-by-step explanation:
The line crosses the y-axis at (0, 1), so that makes (0, 1) the y-intercept.
Hope this helps!
Suntract ( p-q)-(p+q)
Answers
The answer is -2q
hope this helps <3
HELP ME PLEASE! I need help on Desmos!
Answers
Answer:
B is the answer :)
Step-by-step explanation:
Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn?
Group of answer choices
A-$18,600
B-$20,600
C-$206,000
D-$186,000
Answers
pretty sure its A.
Brainliest?... thx
A nationwide poll asked a random sample of US adults the question, “Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).
Calculate the point estimate and margin of error for the given confidence interval.
Enter both values to 2 decimal places.
The point estimate =
The margin of error =
Answers
Answer: point estimate = 0.67 and Margin of error = 0.03 .
Step-by-step explanation:
For confidence interval,
Lower limit = point estimate - margin of error
Upper limit = point estimate + margin of error
Given confidence interval: (0.64, 0.70)
i.e. Lower limit = 0.64
Upper limit = 0.70
i.e. point estimate - margin of error= 0.64 (i)
point estimate + margin of error= 0.70 (ii)
Adding (i) and (ii) , we get
2( point estimate) = 1.34
⇒ point estimate = 0.67
Eliminate (i) from (ii) , we get
2( Margin of error ) = 0.06
⇒ Margin of error = 0.03
Hence, point estimate = 0.67 and Margin of error = 0.03 .
Answer:
Step-by-step explanation:
Question: A nationwide poll asked a random sample of US adults the question, "Are you in favor of making Election Day a federal holiday?” Based on the results of this poll, the 95% confidence interval for the population proportion who favor making Election Day a federal holiday is (0.64, 0.70).
Based on this poll, a reporter claims that more than three-fourths of U.S. adults favor making Election Day a federal holiday.
Answer : D
Sara walks at a constant speed. She walked 1 mile in 15 minutes. Which equation represents the amount of time in minutes, t, that it took for her to walk a distance of d miles? *
t = (1/15)d
t = 15d
t = d + 15
t = d - 15
Answers
Answer:
t=15d
Step-by-step explanation:
The problem is asking for total time, so we can set everything equal to t. If it takes 15 minutes for 1 mile and she's walking at a constant speed, we know that the solution is t=15d.
We can plug in one mile to verify this answer.
t=15(1)
t=15
Hope this helped!