Ms. Pettini's history class has too many students in it. If the class were split
into equal parts to form 3 new classes, each class would have no more than
14 students in it.
If s= the number of students in Ms. Pettini's history class, which
mathematical sentence expresses the information above?

Ms. Pettini's History Class Has Too Many Students In It. If The Class Were Splitinto Equal Parts To Form

Answers

Answer 1

Answer:

s/3 <= 14

Step-by-step explanation:

The number of students is divided by three because of the three clauses, hence s/3. Each new class can have 14 or less students. Therefore, s/3 <= 14.


Related Questions

If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.

Answers

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

you and your friend are walking through town. there is a building making a 90 degree angle with the ground and you are standing 40ft away looking up and a 30 degree angle. how tall is the building?

Answers

Answer:

tan 30 = height of building / 40

height = 40 × 1/√3=40/√3

or = 23.1 feet

Which number is divisible by 9?

121
137
127
144

Answers

Answer:

144

Step-by-step explanation:

144/9=16

Answer:

The answer is 144

Explanation:

144÷9=16

Is this angle acute right obtuse or straight

Answers

Answer:

obtuse

Step-by-step explanation:

Over 90 degrees

Answer:

Obtuse

Step-by-step explanation:

The angle is obtuse because the angle is more than 90 degrees.

There is a line that includes point (1,2) and has a slope of 10 what is equation in intercept form

Answers

Answer:

[tex]y=10x-8[/tex]

Step-by-step explanation:

Given: Point (1,2) lies on the line such that it's slope is 10.

To find: equation of line

Solution:

Let m be the slope of line and b be the y - intercept.

Here, slope is a number that describes the direction and the steepness of the line.

y-intercept is the y-coordinate of the point where the graph of the line intersects the y-axis.

Equation of line is [tex]y=mx+b[/tex]

Put [tex](x,y)=(1,2),m=10[/tex]

[tex]2=10(1)+b\\2=10+b\\b=2-10=-8[/tex]

So, equation of line is [tex]y=10x-8[/tex]

pls help pls its hard ....

Answers

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

I NEED HELP RiGHT AWAY
8−4(−x+5)

Answers

Answer:

4x-12

Step-by-step explanation:

pls answer soon it's a study guide ​

Answers

Answer:

Step-by-step explanation:




Solve for m.

-7 + 4m + 10 = 15 -2m



Answers

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

Answer:

m = 2.

Step-by-step explanation:

-7 + 4m + 10 = 15 - 2m

4m + 2m = 15 + 7 - 10

6m = 12

m = 2.

1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is

Answers

Answer:

2/2

Step-by-step explanation:

There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.

Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. How does the theoretical probability compare with the experimental probability of landing on an even number? Use the drop-down menus to explain your answer. The_______ probability is greater than the_____ probability of landing on an even number. The_______ probability is 72/120 and the_______ probability is 80/120.

Answers

Answer:

The theoretical probability is greater than the experimental probability of landing on an even number. The experimental  probability is 72/120 and the theoretical probability is 80/120.

Step-by-step explanation:

Experimental probability of landing on an even number: (30+25+17)/120 = 72/120 = 0.6

Even outcomes: 4

Total outcomes: 6

Theoretical probability of landing on an even number: 4/6 = 0.67

After 120 spinners it is expected 4/6*120 = 80 even results

Solve: x(squared) = 5x - 6
A. 3, 2 B. -3, -2 C. (x – 3)(x – 2) D. no solution

Answers

Answer:

x=-3   x=-2

Step-by-step explanation:

x^2 = 5x-6

Subtract x^2 from each side

x^2 - x^2 = -x^2 -5x-6

0 = -x^2 -5x-6

0 =-(x^2 +5x+6)

Factor

0 = (x+3)(x+2)

Using the zero product property

0=x+3   0=x+2

x=-3   x=-2

Which is the largest amount of liquid? A. one quart
B. one cup
c. one milliliter
D. one liter
E. one pint

Answers

Answer:

one pint

Step-by-step explanation:

This is because one pint is larger than one cup, there are two cups in a pint.

One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.

Answer:

pint

Step-by-step explanation:

1 Pint is equal to 0.47317647299 liter.

Liter and Pint are the largest on there, and pint is bigger.

Hope this helps! :)

Place the indicated product in the proper location on the grid.

(ab - 9)(ab + 8)


Answers

Answer:

(2b)

Step-by-step explanation:

HELP ASAP
Find the volume of the corner, R measures 10 feet, height measures 30 feet​

Answers

Answer:

3141.59

Step-by-step explanation:

Answer:

[tex]3141.59 \: \: {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V

=

π

{r}^{2}

\frac{h}{3}

\\

=

π

·

{10}^{2}

·

\frac{30}{3}

\\

3141.59265

[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Sara ​says, "If you subtract 15 from my number and multiply the difference by negative 4​, the result is negative 48​." What is Sara's number?

Answers

Answer:

I'm not 100% sure but I believe the answer is 27

because -48/-4=12

12+15=27

Answer:

Write the equation and go backwards.

N - 15 x -4 = -48

Instead of multiply divide and add instead of subtract

-48/-4=12

12+15=27

check if 27 is correct. 27-15=12 x -4 = -48

27 is your number. Hope this helps

Step-by-step explanation:

Ms. B rolls a standard six sided
die and flipped a coin. What is
the likelihood that she will roll a
factor of 8 and the coin will
land on heads?

Answers

Answer:

50/50

Step-by-step explanation:

H=heads T=tails
Factors of 8: 1, 2, 4

All possible outcomes:
1H <
1T
2H <
2T
3H
3T
4H <
5T
5H
5T
6H
6T

Likelihood of rolling a factor of 8 and landing on heads: 3/12 or 1/4

Which shows how the distributive property can be used to evaluate 7x8 4/5?

Answers

Answer:

61 3/5

Step-by-step explanation:

we realize that 8 4/5 can be written as [8 + (4/5)]

hence 7 x 8 4/5

= 7 x [8 + (4/5)]

= 7 [8 + (4/5)]   (use the distributive property, see attached for reference)

= 7(8) + 7(4/5)

= 56 + 28/5  (convert 28/5 into mixed fraction)

= 56 + 5 3/5

= 61 3/5 (answer)

Choose the appropriate plan letter for each question
Plan____ has the lowest range
Plan____ has the highest y intercept
Plan___ is the plane that is the best value

Answers

c is the lowest range

a has the highest y incerpt

d is the best value

The width of a rectangle is the length minus 4 units. The area of the rectangle is 12 units. What is the width in units of the rectangle

Answers

Answer:

width = 2 units

Step-by-step explanation:

If the length of a rectangle is (x) units, then that means that the width of a rectangle is x - 4 units.

the area of a rectangle is length * width

so just substitute the values that we have now.

x (length) * (x-4) width = 12 (area of rectangle)

so that gives us

x^2 - 4x =12

subtract 12 from both sides

x^2 - 4x - 12 =0

now factor this equation

x^2 + 2x - 6x -12 = 0

x(x+2) - 6(x+2) = 0

(x-6)(x+2) = 0

x = 6, or x = -2 REMEMBER THAT VALUE OF x = LENGTH, IT CANNOT BE NEGATIVE AS YOU CANT HAVE NEGATIVE VALUE OF A SIDE

length = 6, and width = 6 -4 = 2

Answer:

W=2 units

Step-by-step explanation:

Length=L

Width=L-4

Area of a rectangle= L*W

L(L-4)=12

L^2-4L=12

L^2-4l-12=0

Now we have a quadratic equation

(L-6)(L+2)=0

L=6, L=-2

L cannot be -2 because it is negative, so L must be 6.

BUT it is asking for the width

and it is given that the width is the length minus 4 units, so

6-4= 2 units

2/5 of it is 22.

Pls help me I'm really stuck on this

Answers

Answer: 55  

Step-by-step explanation:

2/5  * x = 22

2/5x = 22

x=  55

a pitcher contains 17.5 cups of iced tea. you drink 0.75 cup of tea each morning and 1.75 cups of tea each evening. when will you run out of iced tea?

Answers

Answer:

7 days

Step-by-step explanation:

Based on the amount of iced tea in the pitcher and the amount drank per day, you will run out of iced tea in 7 days.

The total number of cups drank per day is:

= 0.75 + 1.75

= 2.5 cups

With 2.5 cups being drank per day, the pitcher would last:

= Pitcher quantity / Cups per day

= 17.5/2.5

= 7 days

In conclusion, you will run out after 7 days.

Find out more at https://brainly.com/question/13426420.

Stephen opened a savings account with $100. He deposits $ 20 every time he mows a lawn during the summer. He wants at least $400 in his
account by the end of the summer Leten be the number of lawns Stephen mows.
which inequality can be used to determine the number of lawns Stephen needs to mow?
A 100 + 20 < 400
B 100n + 20 S 400
C 100+ 20n > 400
D. 100 + 200 2400

Answers

Answer:

c

Step-by-step explanation:

DVD players are going out of fashion in the modern era. If 400,000 DVD players were sold this year and sales are declining at a rate of 31% per year, how many will be sold 3 years from now?

130,000
131,404
128,000
399,876

Answers

Answer:

c

Step-by-step explanation:

Answer:

399,876

Step-by-step explanation:

So, 400,000 DVD sales with a 31% decline means in the first year following, there will be a decline of 124,000 DVDs sold. So we need to take 400,000-124,000 which equals a starting point for your two is 276,000 dvds. Then, add 123,876, which gives you 399,876.

Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°

Answers

Answer:

[tex]Z_{1} Z_{2} = 3 i[/tex]

Step-by-step explanation:

Step(i):-

Given z 1 = 3(cos 37° + i sin 37°)

          z 2 = (cos 53° + i sin 53°)

by using complex numbers

      [tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]

      [tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]

step(ii):-

now

   [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

       z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°

       z ₂ = (cos 53° + i sin 53°) = c i s 53°

we will use formula

     [tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]

     [tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]

    [tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]

    [tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]

Conclusion:-

       [tex]Z_{1} Z_{2} = 3 i[/tex]

       

 

     

Answer:

2i

Step-by-step explanation:

z 2 = 2/3(cos53° + isin53°

I got it right on odyssey ware

Find the value of x.

Answers

Answer:

x=51

Step-by-step explanation:

Formula:  35+16=x

Step 1: Simplify both sides of the equation.

35+16=x

(35+16)=x(Combine Like Terms)

51=x

51=x

Step 2: Flip the equation.

x=51

Hope this helps.

A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?

Answers

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Which scatter plot shows that the number of gallons of milk sold decreased as the price per gallon increased?

Answers

Answer:

The answer is D

Step-by-step explanation:

Which expression is equivalent to the following complex fraction?

Answers

Answer:

Step-by-step explanaAnswer:

\frac{-2y+5x}{3x-2y}

Step-by-step explanation:

Given:

\frac{\frac{-2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}

To simplify this expression, first make the addition and the subtraction, to get:

\frac{\frac{-2y+5x}{xy}}{\frac{3x-2y}{xy}}=

Next, simplify the two denominators, to get:

\frac{-2y+5x}{3x-2y}tion:

So the right answer is of option B.

Look at the attached picture

Hope it will be helpful to you ..

What will be the distance from the center of dilation, P, to the
image S'?
2 units
4 units
6 units
8 units

Answers

Answer:

6

Step-by-step explanation:

Answer:

6 units on edge

Step-by-step explanation:

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Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem. ession r' - (3+2)(3 + 2)2 for 2 = 4. What is the compounds of AICI3 and H+ If a circle has a diameter of 30 meters, which expression gives its area inscuare meters ASAP : What is the y-coordinate of the center of the circle for the following circle equation? x2 + y2 - 10y + 18x = 2 Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithium-ion battery packs for a new line of phones. The contract calls for the following Battery Pack Production QuantityPT-100 200,000PT-200 100,000 PT-300 150,000Photon Technologies can manufacture the battery packs at manufacturing plants located in the Philippines and Mexico. The unit cost of the battery packs differs at the two plants because of differences in production equipment and wage rates. The unit costs for each battery pack at each manufacturing plant are as follows: Plant Product Philippines MexicoPT-100 0.95 0.98PT-200 1.34 0.98 PT-300 1.06 1.15 The PT-100 and PT-200 battery packs are produced using similar production equipment available at both plants. However, each plant has a limited capacity for the total number of PT-100 and PT-200 battery packs produced. The combined PT-100 and PT-200 production capacities are 175,000 units at the Philippines plant and 160,000 units at the Mexico plant. The PT-300 production capacities are 75,000 units at the Philippines plant and 100,000 units at the Mexico plant. The cost of shipping from the Philippines plant is $0.15 per unit, and the cost of shipping from the Mexico plant is 0.08 per unit. (a) Develop a linear program that Photon Technologies can use to determine how many units of each battery pack to produce at each plant to minimize the total production and shipping cost associated with the new contract.(b) Solve the linear program developed in part (a), to determine the optimal production plan. Qty Produced Phillipines Mexico PT-100 16000c 40000 PT-200 100000 0 5000 1000 PT-300 Total Cost-$ (c) Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-100 in the Philippines plant. If required, round your answer to two decimal digits At least $ / unit. (d) Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-200 in the Mexico plant. If required, round your answer to two decimal digits. At least $ .05/ unit. Blossom Companyhad the following transactions during 2022: 1. 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