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
mrs_skeptik [129]
3 years ago
10

Iced tea, x, costs $4 per gallon and lemonade, y, costs $6 per gallon. You need to purchase at least 9 gallons of drinks for a n

eighborhood picnic, but have at most $55 to spend. Model the scenario with a system of inequalities. Which of the following options represents a possible solution to the system of inequalities?

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

Answer:

The system of inequalities is equal to

x+y\geq 9

4x+6y\leq 55

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of gallons of iced tea

y-----> the number of gallons of lemonade

we know that

x+y\geq 9 -----> inequality A

4x+6y\leq 55 -----> inequality B

using a graphing tool

the solution is the shaded area

see the graph in the attached figure

USPshnik [31]3 years ago
7 0

The answer is 10,1

The explanation is below. The graph is correct and the point 10,1 is in the shaded area that is covered by both equations.

You might be interested in
Find the indicated sum of each sequence S8 of -2,-13,-24,-35
valentina_108 [34]

Answer:

The sum of the arithmetic sequence is S_{8}=-324.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant.  In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is a_1 and the common difference is d, then the nth term of the sequence is given by:

                                                  a_{n}=a_{1}+(n-1)d

For the sequence

                                                -2,-13,-24,-35,...

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence.  We find the sum by adding the first, a_1 and last term, a_n, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

<em>                                                     </em>S_{n}=\frac{n}{2}(a_{1}+a_{n})<em />

The sum of the arithmetic sequence is

a_{8}=-2+(8-1)(-11)=-2-77=-79

S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324

3 0
3 years ago
According to Okun's law, if the unemployment rate goes from 7% to 4%, what will be the effect on the GDP?
Paul [167]
If the law is basically if unemployment goes up 1% then the GDP goes down 2%, then the unemployment rate going down 3% means the GDP will go up 6%
3 0
3 years ago
Read 2 more answers
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
4 years ago
Solve the equation by completing the square. Round to the nearest tenth, if necessary. Simplify your solutions and enter them fr
Slav-nsk [51]

Answer:

-1.1, 6.1

Step-by-step explanation:

-2X^2+10X+14=0

(-2X^2+10X+14)/-2=0

X^2-5X-7=0

Then use the quadratic formula because you can't factor

Fill in the equations and solve. One should have the plus and the other should have the minus and that's how you get the 2 different answers.

A=1

B=-5

C=-7

4 0
2 years ago
Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month.
Step2247 [10]
She would have $7160.86 left over in cash here's why.....
she starts off with $8,322.65 and spends $830.98 on rent $8,322.65-$830.98= $7,491.67 
then spends $210.36 on food and another $120.45 on gas 
$7,491.67-$210.36= $7,281.31 - $120.45= $7,160.86 <---- Left over $
7 0
3 years ago
Other questions:
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
    6·2 answers
  • 0.75 = 0.750<br> are they equal
    7·2 answers
  • special Sophia's Festival Garden is divided into 12 equal sections she plant carrots in 8 of the sections write two fractions th
    7·1 answer
  • 2/3 * (-3) h SD j ni djndjifnr​
    7·1 answer
  • Help and ill give extra (60 points)
    12·1 answer
  • .. pls help me....!!!!! Determine whether the point (-2,4) satisfy y&lt;3x+5,y=3x+5 or y &gt;3x+5..​
    13·1 answer
  • X - 62.54 = 85.6<br><br> Answer for x
    13·2 answers
  • Find the circumference of the
    14·1 answer
  • Tan(x-y) if cscx=13/5 and coty=4/3
    10·1 answer
  • Please help me thank you
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!