Naomi is working two summer jobs, making $12 per hour babysitting and
making $20 per hour lifeguarding. In a given week, she can work no more
than 12 total hours and must earn a minimum of $160. If a represents the
number of hours babysitting and y represents the number of hours
lifeguarding, write and solve a system of inequalities graphically and
determine one possible solution.
Inequality 1: y ≥
Inequality 2: y >

Answers

Answer 1

The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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Naomi Is Working Two Summer Jobs, Making $12 Per Hour Babysitting Andmaking $20 Per Hour Lifeguarding.

Related Questions

Hayfa does 336 jumping jacks in 8 minutes. How many does Hayfa do in 1 minute?

Answers

Answer:42

Step-by-step explanation:

Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42

Answer:

42 jumping jacks

Step-by-step explanation:

To find how many Hayfa does in a minute divide 336 by 8

➟ 336/8

➟ 42

∴ Hayfa can do 42 jumping jacks in a minute

A standard train ticket in a certain city costs 3 per ride. people who use the train also have the option of purchasing a frequent-rider pass for 18.75 each month. with the pass, a ticket costs only 2.25 per ride. how many train rides in a month make the frequent-rider pass a better deal than standard train tickets?



a. 26 or more rides

b. 24 or more rides

c. 25 or more rides

d. 27 or more rides

Answers

Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO

Answers

Answer:

5

Step-by-step explanation:

Answer:

LM:MN:

NO =3:

3N

Step-by-step explanation:

graph the inequlity
y > |x-7| + 1

Answers

Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

If a+b+c =9 and a²+ b²+c²=35,find the value of a³+b³+c³-3abc

Answers

Here is your Answer

step by step explanation

Hit thanks, if it's help full

what is 1408 rounded to the nearest hundredth

Answers

Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

Solve the simultaneous equation
-4x+3y=1
6x-y=2

Answers

Answer:

x = 1/2 or 0.5, y = 1

Step-by-step explanation:

it just means a system of equations.

-4x + 3y = 1

6x - y = 2

let's multiply the second equation by 3 and add both resulting equations :

-4x + 3y = 1

18x - 3y = 6

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

14x 0 = 7

14x = 7

x = 7/14 = 1/2 = 0.5

6x - y = 2

6×1/2 - y = 2

3 - y = 2

-y = -1

y = 1

Help me out with this one!

Answers

Answer:

19/9

Step-by-step explanation:

Divide 19/9 using calculator or long division to check.

Hope this helps!

Please mark as brainliest if correct!

are 8x and 2x^3 like terms ??

Answers

Answer:

No they are not 'like' terms

Step-by-step explanation:

8x  and   2x    WOULD be 'like' terms

8x   and 2x^2    are not

8x and 2x^3    are not either

How many 7 digit phone number combinations are possible, except now assume that the phone number is not allowed to start with 911?

Answers

9990000 are 7 digit phone number combinations are possible.

what is permutation and combination?

In mathematics, there are two additional methods for dividing a set of components into subsets: combination and permutation. The elements of the subset may be mixed in any order. The subset's elements are listed in a permutation in a certain order.

Find every 7-digit phone number combination that exists first.

Given that the digit can be repeated, a total of 107 combinations are available.

The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."

since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.

The total number of potential combinations that begin with "911" is then subtracted.

We finally get

10⁷  - 10⁴

= ( 10³ - 1 ) ×  10⁴

= 999 × 10⁴

= 9990000

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. Write a variable expression that represents the following word phrase:
Four less than half the difference of 3 and x

Answers

Answer: [tex]\frac{3-x}{2}[/tex]-4

Step-by-step explanation:

(3-x)/2 -4=[tex]\frac{3-x}{2}[/tex]-4


4. Solve x - 2 = 1.
Which statement shows the correct justification for the step used to solve the
equation?
O Add 1 to each side.
O Add 2 to each side.
O Subtract 1 from each side.
O Subtract 2 from each side

Answers

Answer:

x=3

Step-by-step explanation:

or,x-2=1

or,x=2+1

or,x=3

4.51X3=
SHOWN WORK 13.53

Answers

Multiplication is the opposite of division. When we multiply 4.15*3 we get 13.53.

What do you mean by multiplication?

Multiplication is one of the four basic arithmetic operations, alongside the addition, subtraction, and division. In math, multiply means the repeated addition of groups of the equal sizes.

The symbols for multiplication are cross (x), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Commutative Property: According to this property, when we multiply two numbers, the result will not change depending on the order.

Associative property: It states that if we multiply three or more numbers consecutively, the order is irrelevant.

4.51

X   3

-----------

13.53

-----------

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Can someone help me with this question please like I really need this asap.

Answers

Using the fact that the two angles are complementary, the we will find that the measures are:

∠1 = = 14°

∠2  = 76°

How to find the measures of the angles?

By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).

We also can see that:

∠1 = x - 5

∠2 = 4x

Then we can solve the linear relation:

(x - 5) + 4x = 90

x - 5 + 4x = 90

5x - 5 = 90

5x = 90 + 5 = 95

x = 95/5 = 19

Then the measures of the two angles are:

∠1 = (x - 5)° = (19 - 5)° = 14°

∠2 = 4x = 4*19° = 76°

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Brook went bowling with her friends she bowled 3 games and her average score for those games was 121 she had 117 her first game and 108 on her second game write an equation to find g the score of her third game

Answers

Answer:

121 x 3 = 363
117 + 108 = 225

363 - 225 = 138

138 is the third game
I'm not very sure how to write an equation for this, I guess it would look something like
117 + 108 + x = 363

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

how many 1/3 cups are in 2 cups

Answers

Answer:

6 1/3 cups are in 2 cups

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

+

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

1 cup + 1 cup = 2 cups

Therefore it is 6 1/3 cups.

Use the picture to solve for Y.

Answers

Answer:

y=2x+5

y=-1.5x+9

3y=-2x+10

Step-by-step explanation:

2x+y=5

y=2x+5

9-y=1.5x

-y=1.5-9

y=-1.5x-9

2x=-3y+10

3y=-2x+10

The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g

Answers

Answer:

g is the acceleration due to gravity.

if right please mark me brainliest

(8.41 x 10^-5) - (7.9 x 10^-6)

Answers

Answer:

7.62×10^-5

Step-by-step explanation:

Answer: 0.000076

Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)

= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)

= 0.000084 - 0.000008

= 0.000076

A 19-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is three inches more than five times the length of the first piecefind the lengths of the pieces. 3 + 5x

Answers

Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.

If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.

If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.

let x = length of first piece

2x = length of second piece

3 + 5x = length of third piece

x + 2x + 3 + 5x = 19 inches

Solving for x,

8x = 19 -3

8x = 16

x = 2 inches

length of first piece = 2 inches

Substitute the value of x in the expressions for the second and third piece.

length of second piece = 2x

length of second piece = 2(2)

length of second piece = 4 inches

length of third piece = 3 + 5x

length of third piece = 3 + 5(2)

length of third piece = 3 + 10

length of third piece = 13 inches

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Can you please help me with this ?

Answers

Answer:

the answer is 2^x-7 = 1/3x+-1/3

graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining

ZA and ZB are vertical angles. If m/A = (4x − 8)° and m/B = (3x + 18)°,
then find the value of x.

Answers

For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26

We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.

Thus,   angle A = angle B

Now we will put the value of the respective angles and solve for x, we will get,

       angle A = angle B

      (4x-8)° = (3x+18)°

       4x – 3x = 18 + 8

            x = 26

hence the value of x = 26

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Brian rolls a fair dice 12 times.
How many times would Brian expect to roll a number greater than 4?

Answers

Answer:

I times the 12 by 5 and divided by 2 and subtract by 12

I get 18 and I thought it is 18

Answer:

Step-by-step explanation:

If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4

If rolled 12 times, then 4/12 times the number would be greater than 4

4/12 = 1/3

please help! i can’t figure this out I’ve somebody help QUICKKKK !!!!

Answers

Answer: A

Step-by-step explanation:

If you are examining a function over an interval ( a , b ) , for a and b finite, is it possible not to have an absolute maximum or absolute minimum?

Answers

Yes, it is not possible to have an absolute maximum or absolute minimum.

Here,

We are examining a function over an interval ( a , b ) , for a and b finite,

We have to find,  is it possible not to have an absolute maximum or absolute minimum.

What theorem indicates the existence of absolute maxima or absolute minima of a function?

If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].

Now,

The function is define over an interval (a, b).

Hence, the function is define on open interval.

So, it is not possible to have an absolute maximum or absolute minimum.

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A traditional unit of length in japan is the ken (1 ken = 1.97 m). what are the ratios of (a) square kens to square meters?

Answers

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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2/5d+4/9e=-2d+7/18e-1
solve for e

Answers

Answer:

[tex]e=\frac{-5e-90}{216}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]

The answer is e = -5e—90
____ 216 hopes this help

PLEASE SOLVE ITS FOR A TEST I NEED IT

Answers

Answer:

The answer is Option C



Answer:

I think the answer would be C

Step-by-step explanation:

Assume there is a virus in a town, and there exists one patient on day 1.

Assume that the patient transmits the virus to another person once per day, then this other person becomes a patient, and that all carriers spread the virus at the same rate, i.e. each patient passes the virus on to one other person per day.

Once someone has caught the virus, they do not catch it again.

The town has a fixed population of 700000

and the borders are closed so that no one can enter or exit the town.

How many days does it take to make everyone in the town catch the virus?

Answers

Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.

What is an exponential function?

An exponential function is given as follows:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

For this problem, we have that:

On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.

From this, we get that the parameters are given as follows:

a = 1, b = 2.

Hence the function for the number of contaminated people after t days is given by:

[tex]f(t) = 2^t[/tex]

Now, we have to solve for t when f(t) = 700000, hence:

[tex]2^t = 700000[/tex]

[tex]\log{2^t} = \log{700000}[/tex]

[tex]t\log{2} = \log{700000}[/tex]

t = log(700000)/log(2)

t = 19.4, rounded to 20.

It takes 20 days for everyone in the town to catch the virus.

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Complete the table. ​

Answers

Answer:

-1, 2

Step-by-step explanation:

Plug the "x" on the top row into the "x" on the equation.

y = 3(0) - 1 = -1

y = 3(1) - 1 = 2

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