1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ne4ueva [31]
1 year ago
9

I need to know how to do this problem and graph it on a graph like this one below…Problem: Makayla earns $7 per hour at the bage

l shop and $12 per hour mowing lawns. Makayla needs to earn at least $120 per week, but must work less than 30 hours per week. Write and graph the system of linear inequalities that describes this situation. Graph:

Mathematics
1 answer:
kirza4 [7]1 year ago
3 0

Given that:

- Makayla earns $7 per hour at the bagel shop and $12 per hour mowing lawns.

- She needs to earn at least $120 per week, but must work less than 30 hours per week.

Let be "x" the number of hours Makayla works in the bagel shop, and "y" the number of hours she works in the mowing lawns.

Using the information given, you can set up the following System of Linear Inequalities:

\begin{cases}7x+12y\ge120 \\ x+y

The first inequality means that she needs to earn at least $120 per week, and the second inequality means that she needs to work less than 30 hours per week.

You can rewrite each equation by solving for "y":

- For the first inequality:

\begin{gathered} 12y\ge-7x+120 \\  \\ y\ge-\frac{7}{12}+\frac{120}{12} \\  \\ y\ge-\frac{7}{12}x+10 \end{gathered}

- And for the second inequality:

y

Notice that the boundary line of the first inequality is:

y=-\frac{7}{12}x+10

It is written in Slope-Intercept Form:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Notice that, for the first line:

\begin{gathered} m_1=-\frac{7}{12} \\  \\ b_1=10 \end{gathered}

The slope indicates that the lines move 12 units to the right and 7 units down.

Since the symbol of the inequality is:

\ge

The line is solid and the shaded region is above the line.

The boundary line of the second inequality is:

y=-x+30

Notice that:

\begin{gathered} m_2=-1 \\ b_2=30 \end{gathered}

Since the symbol is "Less than", the line is dashed and the shaded region must be below the line.

Now you can graph the System of Linear Inequalities.

Hence, the answer is:

- System of Linear Inequalities:

\begin{cases}7x+12y\ge120 \\ x+y

- Graph:

You might be interested in
Point A is located in which quadrant? On a coordinate plane, point A is at (negative 3, 5). Quadrant I Quadrant II Quadrant III
Gennadij [26K]
Point a is located in Quadrant 1
5 0
3 years ago
Read 2 more answers
I need help please!
maxonik [38]

Answer:

D..........

Step-by-step explanation:

rgW

4 0
3 years ago
Read 2 more answers
Would the answer be 12.5
frutty [35]
Which question in order for me 2 answer

5 0
3 years ago
Please I really need help (50 points)
Lady_Fox [76]

Answer:

PROOF FOR THE "PROVE" SECTION:

As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.

Filling in the missing blanks:

S1. Angle 1, Angle 2, Angle 3

S2. Angle 1 and Angle 2

R3. Congruent (___)

R5. supplementary angles

S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)

Hope this helped! Have a great day (pls mark brainliest)!!

4 0
2 years ago
Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is
lesya692 [45]
C:65% Would be the answer i believe you're looking for, hope this helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Yin has 3 blue shirts. 10% of her shirts are blue. Liang has 1.5 times as many shirts as Yin has. How many shirts does Liang hav
    12·1 answer
  • 6. Trapezoid FGHI is similar to trapezoid KLMN. What<br>is the length of GH?​
    5·1 answer
  • jade ran 6 times around her neighborhood to complete a total of a mile. How may times will she need to run to complete 5/6 of a
    8·1 answer
  • Cheryl and Marcus are going to make 2 batches of muffins. the smaller batch is 2/3 the size of the larger batch. the recipe for
    12·2 answers
  • 663 divided by 29 <br> write it out
    14·2 answers
  • What is the slope of the line? <br> -2/5 <br> 2/5 <br> 5/2 <br> 1/3
    7·2 answers
  • Please solve with working
    10·1 answer
  • What is the median of the data: 1, 2, 3, 3, 5, 6, 8
    9·1 answer
  • Find the equation of the line through point (1,5) and perpendicular to +3=6 x (e.g. 1/2 for 12
    12·1 answer
  • 5p+2= -10<br> Show your work
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!