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

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Related Questions

Could someone please me find this answer

Answers

Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1

Answers

Answer:

      1   5  10  10   5   1           Row 5

   1   6   15  20  15   6    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   2  1                    Row 2

            1   3   3  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3  3  1                   Row 3

         1   4   6   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = 1  _  _ _  _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   10 10  5   1           Row 5

   1   6   15  20  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20

7x+3y=11
3x-y=23
Solve by substitution

Answers

hope this helps have a nice day :)

can any one help me i really need it

Answers

34 try the app Cymath it’s great for math

Answer:

i got 722.5, Not sure if this is right but it's what I got


PLEASE HELP !
Determine whether each equation represents a linear or a nonlinear function
Select Linear or Nonlinear for each equation

Answers

Step-by-step explanation:

Note:

Linear equations will never exponents in its equation such as

[tex] {x}^{2} \\ y = {x}^{3} [/tex]

as those equations will produce curly graphs.

Nonlinear equations will either contain exponents or logarithms (eg. ln2)

I NEED HELP RIGHT NOW PLEASE HURRY. IF YOU DONE KNOW PLEASE DONT ANSWER

Answers

Answer:

B. 31/108

Sorry for no explanation I used a calculator to do this question

Hope this helps!

The ratio of melanie's allowance to jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00,how much allowance does melanie get?

Answers

Answer:

1.00

Step-by-step explanation:

x=(5*4.1)20.5

x=1

ANYBODY?!?!! HELPPP PLEASEEE!

Answers

egyuyeyuehebdfhvgebfjhaifhldan dhsgojkna jbhope

Marta’s math textbook weighs Four-fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and one-fifth pounds, which shows the correct equation and value of x, the weight of Marta’s book for language arts?
4 x + four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound
4 x minus four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x + four-fifths = 2 and one-fifth; x = three-fourths of a pound
4 x minus four-fifths = 2 and one-fifth; x = StartFraction 7 over 20 EndFraction of a pound

Answers

Answer:

C

Step-by-step explanation:

find the two consecutive whole numbers of 97

Answers

Answer:

48 and 49

Step-by-step explanation:

48 + 49 = 97. Therefore the 2 numbers are 48 and 49

Mhanifa can you please help? I will mark brainliest!

Answers

Answer:

Given function

h(x) = 2x - 1

#15 Find the inverse of h(x)

Substitute x with y and h(x) with x and solve for y:

x = 2y - 12y = x + 1y = 1/2x + 1/2

The inverse is:

h⁻¹(x) = 1/2x + 1/2

#16 The graph with both lines is attached.

The x- and y-intercepts of both functions have reversed values.

#17 Table of the inverse function  will contain same numbers with swapped domain and range.

Initial look is like this:

x        |  -3  |  -2  | -1  |  0  |    1  |  2  | 3h⁻¹(x)  |  -1   |       | 0   |      |    1  |      | 2

The rest of the table is filled in by finding the values:

x        |  -3  |  -2    | -1  |  0   |  1  |  2   | 3h⁻¹(x)  |  -1   | -0.5 |  0  | 0.5 |  1  | 1.5 | 2

Plzzzzzzzzzzzzz help ;-;

Answers

Answer:

option A

associative property of addition

Answer:

Associative property

Step-by-step explanation: when they are added or multiplied does not change the sum or product

Which is an equation of the line through the origin and (-8, -5)?
O A. y = 8/5 x

O B. y= -5x

O C. y = 5/8x

D. y = -8x



Help
Plz due now

Answers

Answer C - y=5/8x since slope is rise/run
the answer is C. y= 5/8x

Which one because it hard am going to keep telling questions

Answers

Answer:

56

Step-by-step explanation:

what is equal to 6 ft 12 inches

Answers

Answer: 7 feet

Step-by-step explanation: :D

the circumference is about ___ mm.

use 3.14 fir pi​

Answers

Answer:

C =62.8 mm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14* 10

C =62.8 mm

What percent of 12 is 9?
A. 25%
B. 67%
C. 75%
D. 108%
E. 133%

Answers

Answer:

75%

Step-by-step explanation:

75% = 3/4

3/4 * 12 = 9

Please I need help ASAP 40. Points

Answers

Total owed = starting amount x( 1 + interest rate) ^ time

The equation would be total = 550(1.12)^x where x is the number of months.

Replace total with 550x2 = 1100 and solve for x

It will double in 6.11 months. Round to 6 months

What is the volume of a rectangular prism that has a height of 2 inches a width of 2 and 1/2 inches and a length of 5 and 1/2 inches?

Answers

Answer:

V = 27.4 in^2

Step-by-step explanation:

Converting to mixed numbers with fractions in decimal format makes this problem easier.  2 1/2 inches is the same as 2.5 inches; 5 1/2 inches is 5.5 inches.

The volume formula is V = L*W*H.

Here, V = (5.5 in)(2.5 in)(2 in), or 27.4 in^2

Can someone please help me with question 5?
I need REAL Help

Answers

Answer:

Step-by-step explanation:

the slope is uphill.. so we know it's positive

I can also see that that it's 1 up and 1 over so the slope is 1

the line also hits at -9   on the y axis

so

y = x - 9

y= -9 since that is the point where the line crosses the y axis

In California, the sales tax is 9.25%. In Oregon, there is no sales tax. How much does an Oregon resident save versus a California resident when buying a $20,000 new car? (Section 13.2) (2 points)

Answers

Answer:

use this https://www.calculator.net/sales-tax-calculator.html

Step-by-step explanation:

Bank account C starts with $10 and doubles each week. Bank account D starts with $1,000 and grows by $500 each week.

When will account C contain more money than account D? Write an equation to represent the situation and solve.

Your help is much appreciated.

Answers

Answer:it will take bank d 8 weeks to get more than bank c

Step-by-step explanation: 10 20 40 80 160 320 640 1280 2560 5120 10240

i need help with this​

Answers

Answer:

A) 9 inches per minute

Step-by-step explanation:

36 inches in 4 minutes

36/4 = 9 inches per minute

Solve for missing value

Answers

Your missing value would be 47
The missing value is 47 degrees

HELP ME PLS! ASAP 10 POINTS FOR THIS ONE & THE NEXT ONE!!!!!! ❗️

Answers

Hope this helps!!!!

pls answerrrerrrrrrrr

Answers

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1



Use the ALEKS calculator to write as a percentage.
5/17
Round your answer to the nearest tenth of a percent.

Answers

Answer:

The answer is 29.4%

Step-by-step explanation:

The given is to be rounded to the nearest tenth percent so

5/17 = 0.294

0.294 * 100 = 29.4% since nearest tenth percent

The required answer is 29.4%

Given fraction is 5/17.

Percentage is a way of expressing a fraction or proportion as a portion of 100. It is a mathematical concept used to represent relative quantities or values in terms of hundredths. The word "percent" is derived from the Latin words "per centum," which mean "per hundred." It is denoted by the symbol "%".

To convert a fraction to a percentage, and multiply the fraction by 100.

Let a and b be the rel numbers. To convert the fraction a/b into percentage by multiply the fraction by 100.

That is , a/b x 100.

And on simplification gives the fractions.

To convert 5/17 to a percentage, we have:

(5/17) x 100 = 29.4117647...

Rounding this to the nearest tenth of a percent, we get:

29.4%

Therefore, when rounded to the nearest tenth of a percent, 5/17 is approximately 29.4%.

Learn more about converting fractions to percentages, click here:

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#SPJ6

Each figure below is a regular polygon and has radii and apothem shown. The find measure of each numbered angle.
161
Column A
Column B
1.
m24
a. 67.5°
2.
m25
b. 22.5°
3.
m26
C. 45°

Answers

Cand A I thinkkk lol

The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.
s=55a+37
Which statements about the turtle are true?
Select 3

Answers

Answer:

B, C , F

Step-by-step explanation:

The age multiplied 55, so the shell grows at rate of 55mm per year

in fact if the age is 2 we have (55 x 2) = 55 + 55

if 3 = (55 x 3) = 55 + 55 + 55

and so on

When the turtle is hatched the shell is 37 mm in lenght.

In fact, if we substitute 0 to a, we have

s = (55 x 0) + 37

s = 37

when the turtle is 1 year old, the shell is 92 mm in length.

in fact if we substitu a with 1, we have

s = (55 x 1) + 37

s = 55 + 37

s = 92

HELP I MARK BRAIN thing

Answers

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

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