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
kow [346]
3 years ago
11

Is (4, 1) a solution to this system of inequalities? x ≥ 4 x + 7y ≤ 11

Mathematics
2 answers:
Naya [18.7K]3 years ago
6 0
Yess!!!!!!!!!!!!!!!!!!!!
My name is Ann [436]3 years ago
4 0
<h3>Answer: Yes (4,1) is a solution</h3>

===================================================

Explanation:

Plug (x,y) = (4,1) into the first inequality

We replace x with 4. There is no y value to worry about here.

After doing so, x ≥ 4 turns into 4 ≥ 4 which is a true statement.

----------------

Plug (x,y) = (4,1) into the second inequality

x + 7y ≤ 11 turns into 4 + 7(1) ≤ 11 which simplifies to 11 ≤ 11

This is also a true statement.

----------------

Both inequalities result in true statements after plugging in (x,y) = (4,1). Therefore, (4,1) is a solution.

You might be interested in
Algebra 2- Common Functions PLEASE HELP!
RoseWind [281]

Answer: B

Step-by-step explanation:

Intersection of the 2 parts of the function is (0,0):

==> not A

the second part of the function is an half-line (and x =0)

Answer B

7 0
3 years ago
13. Maria earns $8 per hour plus a 5% commission on the price
Pani-rosa [81]

Answer:

Inequality:

120 + 0.05x ≥ 200

Solution:

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

Step-by-step explanation:

Let x represent the weekly sales she must make to reach her goal.

Given;

Pay rate = $8

Weekly total work hours = 15 hours

Commission on sales = 5% = 0.05

Total weekly earnings is;

8×15 + 0.05×x

120 + 0.05x

Minimum Weekly target earnings = $200

So;

120 + 0.05x ≥ 200

Solving the inequality equation;

0.05x ≥ 200 - 120

0.05x ≥ 80

x ≥ 80/0.05

x ≥ 1600

x ≥ $1,600

Her total weekly sales must be equal to or greater than $1,600

6 0
3 years ago
Which point, (5/2, 3) or (3/2, 20), is on the graph of 2x - 2/3y =3?<br><br> show steps pls!
Anna11 [10]
You should try both points
put  x=5/2 and y=3
5-2=3
the first one is on the graph
put  x=3/2 and y=20
3-40/3≠3
the second one is not on the graph


4 0
3 years ago
Adam proposes that his mother changes his allowance according to the
olga2289 [7]

Answer:

a.) $3.20

b.) $102.40

$3,276.80

Step-by-step explanation:

0.2 times 2 five times is 3.2

0.2 times 2 ten times is 102.4

0.2 times 2 fifteen times is 3,276.8

7 0
3 years ago
Solve the equation 2.7 + x = 17
olga55 [171]
Hello!

To solve this equation, we need to isolate the variable on one side of the equation to see what it equals. 

As you can see, 2.7 is added. To get it onto the other side and cancel it from the one side, you will subtract it from both sides as shown below. Note that because of the commutative property, we can switch the places of 2.7 and x.

x+2.7-2.7=17-2.7  (Note that 2.7=2.7 is 0 in this equation.
x=14.3

Our solution is x=14.3

I hope this helped you learn how to solve equations a bit better!
4 0
3 years ago
Other questions:
  • Ribbon is sold by the yard.If the cost is $2.79 per yard,how much does the ribbon cost per inch?
    6·2 answers
  • Hannah completed 3/4 of her homework on Saturday morning and 1/8 ofit on Saturday night. How much more homework does she need to
    5·2 answers
  • What is a number that is greater than 5 and less than 40, is not divisible by 2, the sum of it's digits is 7 and has exactly 3 f
    11·1 answer
  • Please answer this question picture shownn
    6·2 answers
  • Solve the proportion <br>((x-8)/5)=(2/4)
    12·2 answers
  • Event A : stops on an even number
    13·1 answer
  • 5 times a number is 6 less than the square of that number
    6·1 answer
  • 10^-2 + 8 round the coefficient to two decimal places​
    7·2 answers
  • A hockey player gets 2 goals for every 13 shots. At this rate, how many goals will he make if he
    5·2 answers
  • Franklin is drawing a rectangle. The length will be 5 inches, and the area will be at least 20
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!