You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. Create and graph a system of inequalities that represents the constraints

Answer:

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

Answer: C) 2b^3+b^2-2b-380

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

Answer:

Step-by-step explanation:

5

Answer:

  33 1/3 lb

Step-by-step explanation:

When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:

  (75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb

At 12 feet apart, the attraction force is 33 1/3 pounds.

Let's consider the standard and usually used value of irrational numbers given in the question.

So, let's see the options:

A) GiveN:

[tex] \dfrac{\pi}{2} + \pi[/tex]

Let consider π = 3.14

[tex] \dfrac{3.14}{2} + 3.14[/tex]

[tex]1.57 + 3.14[/tex]

[tex]4.71 \: (approx.)[/tex]

B) GiveN:

[tex]2\pi - 1[/tex]

Here also, let's consider the value be 3.14

[tex]2 \times 3.14 - 1[/tex]

[tex]6.28 - 1[/tex]

[tex]5.28 \: (approx.)[/tex]

C) GiveN:

[tex]4 \sqrt{2} [/tex]

Let's consider the value of √2 be 1.414

[tex]4 \times 1.414[/tex]

[tex]5.6516 \: (approx.)[/tex]

D) GiveN:

[tex]8 - \sqrt{3} [/tex]

Let's consider the value of √3 be 1.732

[tex]8 - 1.732[/tex]

[tex]6.268 \: (approx.)[/tex]

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

#CarryOnLearning

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Answer:

792, 784, 775, 675, 645, 434, 432, 415, 342, 324.

Answer:

gooooooooood

Step-by-step explanation:

I kie that

Answer:

5.33

Step-by-step explanation:

It is a repetitive decimal.

Answer:

34

Step-by-step explanation:

b+115°+31°= 180° (sumof all angles of triangle)

b=146°-180°

b=34°

hope it helps you!

steffie matt

Answer:

x < -4

Step-by-step explanation:

2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!

Answer: x<7/2

Step-by-step explanation:

Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.

Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.

Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.

Hope this helps!

Answer:

I'm fairly certain the answer is A, The first one

explanation:

Ray OB is between rays OA and OC

Area of the circle: 64π ft²

Radius of circle: 8 ft

The circumference formula: C = d · π

We can plug in the values we know.

16π = d · π; We can cancel out the π, as it is on both sides.

d = 16ft; r = 8ft

The area formula: A = πr²

A = 64π ft²

Answer: (-2,-7)

Step-by-step explanation:

The coordinates of  B is  (-2, -7).

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]

Given:

Let the coordinates of  B be (x, y).

We have to find the coordinates of  B.

According to given question we have,

Then, (x + 2) / 2 = x-coordinate of M = 0.

So, x = -2.

(y + 1) / 2 = y-coordinate of M = -3.  

So, y = -7.

Therefore,  the coordinates of  B is  (-2, -7).

Learn more details about co-ordinate geometry here:

https://brainly.com/question/21094061

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Answer:

2l+2w, 60+60+30+30

Step-by-step explanation:

2(length)+2(width)

The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.

Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-

Perimeter = 2 ( l +  w)

Perimeter = 2 ( 60 + 30 )

To know more about perimeter follow

https://brainly.com/question/19819849

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Answer:

[tex]2,800[/tex]

Step-by-step explanation:

[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]

[tex]3,000-\left(2\cdot \:100\right)[/tex]

[tex]3,000-200[/tex]

[tex]2,800[/tex]

Answer:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Step-by-step explanation:

We are given the equation:

[tex]-2x^2-6x+3=0[/tex]

And we want to solve it using the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

First, let's identify our coefficients.

The a is the coefficient in front of the x² term, so a = -2.

b is the coefficient in from of the x term, so b = -6.

And c is the constant so c = 3.

Substitute:

[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]

Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:

[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]

Add:

[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]

Simplify the square root:

[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]

So:

[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]

Simplify by dividing everything by 2:

[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]

Move the negative in the denominator to the numerator. The plus/minus sign will not change.

[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]

So, our zeros are:

[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]

Answer:- the equation have -2x common.

A / b = c

Multiply both sides by b

A = bc

Divide both sides by c

A / c = b

Answer:

no

Step-by-step explanation:

Answer:

8 6/7 is greater than 8 3/5

Step-by-step explanation:

Step 1:

8 3/5 = 8 21/35

Step 2:

8 6/7 = 8 30/35

Answer:

8 6/7 is greater than 8 3/5

Hope This Helps :)

Answer:

18

Step-by-step explanation:

8+4x=80

4x=72

x=18

Check

8+4x=80

8+4(18)=80

8+72=80

80=80

Vocabulary Check:

Integers are numbers that are neither fractions nor decimals.

Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.

Integers = -23, 2, 3, 16, 0, -4

Whole Numbers = 0, 2, 3, 16

Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4

Irrational: None

Answer:

24

Step-by-step explanation:

let Sammy's age be x and Lisa y

since Lisa is 4years older than Sammy

y=x+4

28-4=y

y=24

we basically use inverse functions in our daily lives all the time

to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment

functions are also used in computing

Answer:

relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think yes

Answer:

Jamar is correct.

Step-by-step explanation:

The scores are as follows :

−3, 2, 0, −1, 2, −4.

These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.

Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.

It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....

Answer:

the equation does not proove

Step-by-step explanation:

l.h.s

(3-5)(4)

12-20

-8

r.h.s

3(4)-5

12-5

7

therefore, l.h.s is not equal to r.h.s so the equation is wrong

Answer:

15

Step-by-step explanation:

-9+9=0+6

9+6=15

That is the answer i think so

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

Tossing an even number is more likely than tossing an odd number.

Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9

Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7

Which shows frequencies of tossing even numbers are more.

Therefore, Option (1) is correct.

Option (2)

The number 2 will be the next number tossed.

Since it is unpredictable, therefore, this option is incorrect.

Option (3)

Number 4 is half as likely to be tossed as the number 3.

Frequency of tossing number 3 = 6

Frequency of tossing 4 = 10

Frequency of tossing 3 is not the half of tossing 4.

Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]

                                                           = [tex]\frac{10}{8+10+6+10+7+9}[/tex]

                                                           = [tex]\frac{10}{50}[/tex]

                                                           = [tex]\frac{1}{5}[/tex]

Therefore, option (4) is incorrect.