Axel and Carl both volunteer at a science museum. The manager needs one helper at a time for at most 18 hours this month. Axel wants to work at least 6 hours. The manager wants Carl to work no more than twice as many hours as Axel. Let a represent the number of hours that Axel works. Let c represent the number of hours Carl works. Which system of inequalities represents the constraints of this problem situation?

Answers

Answer 1

We want to find a system of inequalities that models the given situation.

We will find the system:

a + c ≤ 18

a ≥ 6

c ≤ 2*a

First we define the variables:

c = number of hours that Carl works.a = number of hours that Axel works

The given information is:

The manager needs one helper at a time for at most 18 hours.

From this we can write:

a + c ≤ 18

Axel wants to work at least 6 hours.

a ≥ 6

The manager wants carl to work no more than twice as many hours as Axel.

c ≤ 2*a

The system is then:

a + c ≤ 18

a ≥ 6

c ≤ 2*a

If you want to learn more, you can read:

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Related Questions

FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)

Answers

Answer:

a is less than or equal to 7

Step-by-step explanation:

This is the case because we can treat the less than or equal to sign as an equal sign. The only time it changes is when we divide by a negative, but we do not do that in this problem. First, you subtract 7 from both sides. That leaves us with a 4a on one side and a 28 on the other. Then, you divide both sides by four to get a is less than or equal to 7. I hope this helps!

Answer 6-7 thanks!!!!

Answers

If the pie was cut into 3rds and then each 1/3 was cut into 3rds again there would be 9 slices

Which point is an x-intercept of the quadratic function
f(x) = (x – 3)(x + 2)?

A(3, 0)

B(0, 2)

C(0, -2)

D(-3, 0)

Answers

Answer:

A

Step-by-step explanation:

The x-intercepts are the roots of a parabola. Specifically, when a parabola is in the form [tex]f(x)=(x-h)(x-k)[/tex], where h and k are real numbers, the roots are [tex](h, 0)[/tex] and [tex](k, 0)[/tex].

Our parabola has a plus, though. That's a problem, right?

No! [tex]x+2=x-(-2)[/tex], so there's no problem. So, our roots are [tex](3, 0)[/tex] and [tex](-2, 0)[/tex].

So, the answer is A and we're done!

Okay here's the most difficult question ever, hardest math ever to exist

what does 1 + 1 equal

answer for brainliest. also who here has snap i need more friends on there

Answers

Answer:

2 becuz like come on man who doesn't know what's......... ahhhh life sucks tbh

A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group

Answers

69 officers will be in each group

Answer C: 69

Step-by-step explanation:

1242 divided by 18 = 69

Solve for x. x/7 - y = a

Please help as soon as possible. Thanks! =D

Answers

Hello!

Answer:

x=7(a+y)

Step-by-step explanation:

Hope this helps!

Question 5 (4 points)
(04.05)

Which description best describes the graph? (4 points)

A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing

b
Linear decreasing

c
Nonlinear increasing

d
Nonlinear decreasing

Answers

I think it’s D bc yes and yes and yes

Answer:

The answer is D

Step-by-step explanation:

which table represents a function​

Answers

Answer:

The first one.

Step-by-step explanation:

Functions do not have repeating x values.

). At a concert, people's hands were stamped as they walked in. To estimate the attendance, the staff randomly
stamped 120 people's hands with a red stamp instead of blue. A random sample of 250 people in the crowd
found 4 people with a red stamp. What is the best estimate for the size of the crowd?
a. 7500 people
b. 5625 people
c. 9375 people
d. 11,250 people

Answers

Answer:

7500 people

Step-by-step explanation:

pleas help me with number three

Answers

Answer: 65

Step-by-step explanation:

all angles of a triangle will add up to be 180 degrees there for add 80 + 35 to get 115 degrees and then subtract 115 from 180(180-115) to get the third angle of 65 degrees

Answer:

65

Step-by-step explanation:

80+35+?=180

115+?=180

115-115+?=180-115

?=65

Liam knows the key to making creamy risotto, a rice dish, is to add the liquid to the rice gradually. He adds 5 ladles of chicken broth to his rice before adding seasoning, and he continues to add 2 ladles of broth each minute afterwards.Write an equation that shows the relationship between the number of minutes since Liam added the seasoning, x, and the total number of ladles of broth he has added, y.

Answers

The equation that shows the relationship between the number of minutes and total number of ladles of broth is y = 2x + 5

Let x represent the number of minutes and y represent the total number of ladies.

Since he adds 2 ladles of broth each minute and he has 5 ladies initially, hence:

y = 2x + 5

The equation that shows the relationship between the number of minutes and total number of ladles of broth is y = 2x + 5

Find out more at: https://brainly.com/question/13911928

Answer:

2x+5

Step-by-step explanation:

I did it on IXL:

there are 50 sixth graders in a school. This is 20% of the school. How many students are in the school total?

Answers

There are 250 kids in total of the school because 50 times 100 divided by 20 is 250 . Please mark me brainliest

The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.

Answers

Answer:

[tex]16 (1 +0.09)^{8}\\[/tex]

Future Amount = 38 (rounded)

Step-by-step explanation:

hope this helps.

Write in vertex form.
y = 8(x+)2 +

Answers

Answer:

:The correct answer is :y = 8(x + 2)^2 + -15Step-by-step explanation:I just got the question correct.

howdy!!

the answer is

2 and -15!!

Find the value of k given that both points lie on a line passing through the origin. (k,7) and (−81,−9)

Answers

k = 63. The slope-intercept equation would be y = 1/9x

Answer:

-630adkn

Step-by-step explanation:

Use the commutative properly to reoder the term

(7k) and×(-81-9)

that's all and hope it can help you thanks

brainless me please

can someone help me understand this

Answers

Answer:

6 favors each guest

Step-by-step explanation:

3 bag if 12 means total 36

She has divided evenly amongst 6 guest .

36/6 = 6each guest.

Answer:

The answer would be 6.

Step-by-step explanation:

Assuming, Amy doesn't have a sweet tooth, she's only giving party favors to her own guests.

There are 3 bags of 12 party favors each. This gives us a total of 36 party favors.

There are 6 guests and so to evenly split the party favors, we must split 36 into 6 groups, giving us 6 party favors in each group.

COMPUTATION:

3 x 12 = 36

36 / 6 = 6

Hope this helps!

WHat is the square root of 76?

Answers

Answer:

It is 8.72 if it needs to be rounded up. If not, it is 8.71779788708

Step-by-step explanation:

Please help me with this answer ASAP

Answers

Step-by-step explanation:

first let's bring the equation into "normal" form :

x - 2y = 2

-2y = 2 - x

2y = x - 2

y = x/2 - 1

so, the slope of this line is 1/2 (the factor of x - that is always the case in all lines).

a parallel line must have the same slope, of course.

so, its equation is

y = x/2 + b

now, b will be different to the -1 of the original equation, or the lines are identical.

it is the point of interception of the line through the y-axis (x = 0).

we get this by using the coordinates of the given point (4, -3).

so,

-3 = 4/2 + b = 2 + b

b = -5

therefore, the formula for the parallel line is

y = x/2 - 5

Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make


A: 10 pillows

B: 6 pillows

C: 5 pillows

D: 3 pillows

Answers

Answer:

A: 10 pillows

Step-by-step explanation:

Conventional way:

Turn 6 into 6/1.

6/1 ÷ 3/5

Answer: 10

-kiniwih426

I have the equation.
16x^0+2x^2*y^-1
How do I solve the equation if x = 2 and y = 4?

Answers

Answer:

18

Step-by-step explanation:

[tex] \\ \sf16 {x}^{0} + 2 {x}^{2} \times {y}^{ - 1} [/tex]

Now putting the values of x and y.

[tex] \\ \sf16 \times {2}^{0} + 2 \times {2}^{2} \times {4}^{ - 1} [/tex]

[tex] \\ \sf = 16 \times 1 + 2 \times 4 \times \frac{1}{ {4}}[/tex]

[tex] \\ \sf = 16 + 2[/tex]

[tex] \\ \sf = 18[/tex]

Note:

•If the power of a number is 0 then it's value will be 1.

•If the power of a number is negative then reciprocal the number to make the power positive.

Can someone help me please ?

Answers

Answer:

12 and (-12)

Step-by-step explanation:

Solve for x.

x^2= 144

square root both sides and get,

x= 12

and

x= (-12)

remember to put your negative and 12 into parenthesis because you are multiplying the negative as well.

Answer:

x = 12

x = -12

Step-by-step explanation:

Step 1: Take the square root of both sides.

[tex]\sqrt{x^2} =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x =[/tex] ± [tex]\sqrt{144}[/tex] [tex]x = 12[/tex] or [tex]x = -12[/tex]

Therefore, x = 12 and x = -12 are the answers.

Ten children visited Grandma after school for cookies and milk. Grandma divides 1/2 gallon off milk into 10 equal glasses for the children. What fractional part of a gallon of milk does each child receive?

Answers

Answer:

Answer should be 1/20

Step-by-step explanation:

Please answer the math problem... I will mark you brainliest

Answers

Answer:

Step-by-step explanation:

im sorry i cant see the problem

I cant remember how to solve it

Answers

I HOPE IT WILL HELP YOU.

Thank you.

TEDDYLOVER

Sunny beaches is a company that designs and makes beach balls. The beach ball shown has a radius of 8 inches. determine the volume of a beach ball in cubic inches round to the nearest hundredths

Answers

Answer:

the answer is 2143.57! hope this helps!

-2(x + 3) = -2(x + 1) - 4​

Answers

i’m working on something like that now

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

Fining right answer
Branleist

Answers

The first one, with the negative square root of 15 is irrational since a square root cannot be negative.
The second one is rational
The third one is rational
The fourth one is irrational

Which of the following lists of values contain rational numbers only?

Group of answer choices

90, -1.375 , π


−81−−−√,7√7√,4.16


28−−√,0,313


639,116−−√,50−−√

Answers

Answer:

90, -1.375 , π

Step-by-step explanation:

Copy the picture and put a dot on where i put it

Answers

Answer:

put a dot at the second last line on the left and a dot at the third last line on the right.

Step-by-step explanation:

-5 2/3 is one dot away from -6 and 5 1/3 is two dots away from just 6.

1. What is the solution to the equation 3(x - 2)= 15?​

Answers

Answer:

X=7

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

3x-6=15

3x-6+6=15+6

3x=15+6

3x = 21

----   ----

3       3

x=7

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