Problem B: Mr. Zoetz placed red, blue, and yellow gumballs in his gumball machine. • He placed 253 yellow gumballs in the gumball machine. He placed 98 more yellow gumballs than red gumballs in the gumball machine • He placed 27 fewer blue gumballs than red gumballs in the gumball machine. How many gumballs did Mr. Zoetz place in the gumball machine?​

Answers

Answer 1

He placed 479 gumballs in the gumball machine.

We are given that Zoetz placed red, blue, and yellow gumballs in his gumball machine.

Now in the gumball machine, we are given that he:

He has placed 253 yellow gumballs.

Now, we are given an expression that the number of red gumballs is 98 less than the yellow ones.

Number of red gumballs = 253 - 98 = 155 gumballs.

Also, another expression says that blue gumballs are 27 less than the red ones.

Number of blue gumballs = 155 - 27 = 128 gumballs.

Total gumballs = 253 + 98 + 128 = 479 gumballs.

Therefore, he placed 479 gumballs in the gumball machine.

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Related Questions

What is 2 and 1 over 3 divided by 3 over 5?

Answers

2 1/3 is the same as 7/3
So
7/3 divided by 3/5 = 35/9
Answer as a mixed number = 3 and 8/9

A) ((7.4), (6, 3). (5, 2)}
Function?
Explain:

Answers

Answer:

Yes

Step-by-step explanation:

This function is called a discrete function since the function isn't continuous like a line but consists of individual points.

Also, the points in the function don't share the same x-coordinate, so the function passes the vertical line test.

Without multiplying, tell whether the value of the expression is positive or negative.
4/7 • (-3 1/2)
Explain your reasoning.

Answers

Answer:

Negative

Step-by-step explanation:

Because knowing that a positive number times a negative number equals negative.

Which of the following numbers is divisible by 3?
a) 539
b) 85
c) 9,285
d) 640

Answers

Answer:

C

Step-by-step explanation:

539/3 = 179.666

85/3 =28.3333

9285/ 3 = 3095

640/3=213.3333

Answer:

C

Hope this helps :)

Step-by-step explanation:

All the others numbers equal a decimal when divided by 3. However, C equals a whole number so it's C.

9,285 ÷ 3 = 3,095

Equivalent expression to (3*6) to the 2nd power

Answers

The required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

We have been given that exponential function as

⇒ (3⁶/y⁻⁵)²

= (3⁶/1 / 1/y⁵)²

= (3⁶ × y⁵)²

= 3¹² y¹⁰

Therefore, the required equivalent expression would be 3¹² y¹⁰ which is the correct option (C).

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The question seems to be incomplete the correct question would be

Select the equivalent expression to (3⁶/y⁻⁵)²

(A) 3¹⁰ y¹²

(B) 3⁶ /y¹⁰

(C) 3¹² y¹⁰

Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt{3x - 1} - 2 = 0[/tex]

[tex] \sqrt{3x - 1} = 2[/tex]

[tex] \sqrt{3x - 1} = \sqrt{4} [/tex]

[tex]3x - 1 = 4[/tex]

[tex]3x = 4 + 1[/tex]

[tex]3x = 5[/tex]

[tex]x = \frac{5}{3} [/tex]

2(6-9)-31 helpppppppppppppppp

Answers

Answer: -37

Step-by-step explanation:

Use order of operations

2(6-9)-31

2(-3)-31

-6-31

= -37

- x≤-2 or x > 1 needs to be put on a number line pls help

Answers

Answer:

Step-by-step explanation:

Answer: closed circle on -2 with the arrow to the left

               open circle on 1 with the arrow to the right

Which expression represents the product of a³ + 2x - 1 and 4 - x³ + 3? ​

Answers

Option C) is correct that is the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

The two terms that we have been given are x³ + 2x – 1 and x⁴ – x³ + 3

To find the product of these two terms we will multiply term by term that is

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x³( x⁴ – x³ + 3) + 2x( x⁴ – x³ + 3) - 1( x⁴ – x³ + 3)

                                  =x⁷ – x⁶ + 3x³ + 2x⁵ – 2x⁴ + 6x -  x⁴ + x³ – 3

(x³ + 2x – 1) * ( x⁴ – x³ + 3) = x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

Hence the product of (x³ + 2x – 1) * ( x⁴ – x³ + 3) is

x⁷ – x⁶ + 2x⁵ – 3x⁴ + 4x³ + 6x – 3

That is option C) is correct

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Enter the numerator and denominator of the fraction in simplest form that is equal to the decimal number shown.
0.8 repeating

Answers

Answer:

4/5

Step-by-step explanation:

8/10

=4/5

Answer:

8/9!!

all credit goes entirely to the person in comments for giving us all the right answer.

176.912 round off to the closest integer.

Answers

Answer:

177

Step-by-step explanation:

An integer is a negative or positive whole number. any number greater or equal to 5 you round up the the nearest whole number

Hope this helps.

"decimals are not included in the set of integers." with this information you can infer that you need to round to the nearest whole number, therefore 176.912 would be round to 177 because the decimal in the tenth place is 5 or above (9) so you round UP.

$100 at 8% for 20 years

Answers

Answer: $466.1

Step-by-step explanation:

100*(1.08)^20=

100*4.661=$466.1

Is the answer $466.1

The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
It was previously calculated that the z-score for 3.22
inches is 1.44 and that the percentage of trees that have
a diameter less than 3.22 inches is 92.51%.
About what percent of trees have a diameter greater than
3.22 inches?
About
% of trees have a diameter greater
than 3.22 inches. Round the percent to 2 decimal
places, if necessary.

Answers

Answer: 7.49%

Step-by-step explanation: i got it right on edg

Answer:

7.49%

Step-by-step explanation:

2 1/7 + 3/7(3x-5)=-4

Answers

Answer:

Answer 2 1/7 +3/7(3x-5)= -4

            2 1/7 + 9/7x-15/7= -4

           0+ 9/7x = -4

               x= -28/9

Step-by-step explanation:

your friend is also saving pennies. she puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, each day doubling the number of pennies added. how much money would she have at the end of vacation, if she could keep saving at this rate? (this would be hard to do, even if bill gates were your dad!)

Answers

money would she have at the end of vacation = 377,789,318,629,571,617,095.67 dollars.

What does "compounding" mean?

When interest is applied to a principal amount together with the interest that has already been paid, this process is known as compounding. This means that compounding, sometimes known as the "wonder of compounding," can be thought of as interest on the compound, which has the effect of increasing returns from interest over time.

What is an appropriate compounding procedure?

Current good compounding practices refer to the minimal requirements for the procedures, facilities, and controls used to compound medicine to ensure that it has the identity, and strength, and satisfies the quality and purity requirements it is claimed to have.

According to the given information:

She puts in one penny the first day, 2 pennies the second, 4 pennies the third...and so on.

The total sum is thus,

(1, 3, 7, 15, 31, 63, 127)

Which translate to

(2^1-1, 2^2-1, 2^3-1, 2^4-1, 2^5-1, 2^6-1, 2^7-1,..)

So at the end of the 75th day, the total amount is 2^75-1

or

37778931862957161709567 pennies

or

377,789,318,629,571,617,095.67 dollars.

money would she have at the end of vacation =  377,789,318,629,571,617,095.67 dollars.

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I understand that the question you are looking for is:

Your friend is saving pennies. She puts one penny into her piggy bank the first day, two pennies the second day, four the third day, and so on, doubling the number of pennies added. How many much money would she have at the end of vacation, if she could keep saving at this rate? Vacation lasts 75 days.

Helppppppppooppppppp please

Answers

The answer is b) AD2 hope that helps!

32-15x3-5(5-13+44)-33+3(576+13-375)

Answers

Answer:

416

Step-by-step explanation:

pemdas

Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 times. 1019 6022 times. 1020 6.022 times. 1022 6.022 times. 1023

Answers

The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

What is meant by scientific notation?

Scientific notation is a method of expressing numbers that are either too large or too small to be written in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.

The proper scientific notation format is [tex]a*10^b[/tex], where an is a number or decimal number with an absolute value greater than or equal to one and less than ten, or 1 |a| 10. b is the power of ten required for scientific notation to be mathematically equivalent to the original number.

In the scientific notation, the number is written as a multiplication of a number from 1 to 9 and 10 raised to the adequate power.

602,200,000,000,000,000,000,000

= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000.

Since 10 = [tex]10^1[/tex]; 100 = [tex]$$10^2[/tex]; 1,000 = [tex]$$10^3[/tex], etc. then

100,000,000,000,000,000,000,000 = [tex]$$10^{23[/tex].

602,200,000,000,000,000,000,000

= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000 = 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

Therefore, the correct answer is option d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].

The complete question is:

Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation?

a) 6022 [tex]*[/tex] [tex]$$10^{19[/tex]

b) 6022 [tex]*[/tex] [tex]$$10^{20[/tex]

c) 6.022 [tex]*[/tex] [tex]$$10^{22[/tex]

d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex]

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Answer: D

Explanation: 6.022 x 10^23

PLEASE HELP MEEEEE. EXPLAINNNN
IMAGE INCLUDED

Answers

Answer:

i thing that's the answer

2r+1+(−4r)+72 please solve

Answers

Answer:

[tex] \sf \large \: −2r+73[/tex]

Step-by-step explanation:

Let's simplify step-by-step.

2r+1−4r+72

=2r+1+−4r+72

Combine Like Terms:

=2r+1+−4r+72

=(2r+−4r)+(1+72)

=−2r+73

Q.4 - Simplify: 7y + 8 = 9 + 3y + 2y. Show your work.

Answers

Answer:

y = 1/2

Step-by-step explanation:

7y + 8 = 9 + 3y + 2y

7y + 8 = 9 + 5y

7y - 5y + 8 = 9 + 5y - 5y            (subtract 5y from both sides)

2y + 8 - 8 = 9 - 8                        ( subtract 8 from both sides)

2y = 1

(2/2)y = (1/2)                               divide by 2 on both sides

y = 1/2

Please help :(
Use PEMDAS to find the surface area.
81 + 72(4) =

157 km²

369 km²

612 km²

Answers

The answer is C. 369 km

) You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?​

Answers

Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

First, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:

Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up.

So the price of each company is:

Price of company A=50 + 10tPrice of company B=30 + 15t

If both companies equal the same price, the equation in this case is:

Price of company A= Price of company B

50+ 10t= 30 + 15t

Solving

50 - 30= 15t - 10t

20= 5t

20÷5= t

4=t

At this time, the price of both companies is

Price of company A= 50+ 10t= 50 + 10×4= 90Price of company B= 30 + 15t= 30 + 15×4= 90

In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.

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f(m) = 3m^2 - 5
find (-2)

Answers

Answer:

f(- 2) = 7

Step-by-step explanation:

assuming you mean find f(- 2)

substitute x = - 2 into f(m)

f(- 2) = 3(- 2)² - 5 = 3(4) - 5 = 12 - 5 = 7

Answer:

7

Step-by-step explanation:

Plug in -2 for m:

f(m)=3(-2)^2-5

Simplify:

(-2)^2 or (-2)(-2)=4

f(m)=3(4)-5

3x4=12

f(m)=12-5

f(m)=7

PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG

Answers

Yep here you go The answer is -1.4

Ms. Wells has 16 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answers should be in simplest form.
Group of answer choices

6/18

12/16

3/4

1/12

Answers

Answer: 3/4

Step-by-step explanation: because 12/16 simplified is 3/4

12/16 I think because 12 out of the 16 are left at home.

-8(1-a)=-8(a-7) solve the equation

Answers

Answer:

a=4

Step-by-step explanation:

answer: a=4

-8(1-a)=-8(a-7)

8a-8=-8(a-7)

mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.

Answers

160.55 is  the difference. i underlined each number i added on each line.

What is an linear equation in math?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The two numbers are 15.75 and 176.3

First we will compare the numbers.

1. A=176.3

2. B=15.75

one's place of A is greater than once place of B.

tens place of A is greater than tens place of B.

Hundred place of A is greater than hundred place of B.

So, A>B

So  we will subtract 15.75 from 176.3.

176.30 -15.75=

176.30     ----A

- 1 5.75     ----B

Hundreths place of A - Hundreths place of B =  0-5=10-5=5

Tenth place of A  - Tenth place of B =12-7=5

ones place of A - ones place of B=5-5=0

Tens place of A - Tens place of B =7-1=6

So the solution is 160.55

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Johnny wants to buy a box of
donuts. The donuts normally cost
$12 dollars but they are on sale for
10% off. What is the sale price for
the donuts? Please I need help

Answers

Answer:

$1.20

Step-by-step explanation:

if the donuts normally cost 12 dollars, but they are on on sale for 10% off, then all you have to do is divide 12 by 10.

12 ÷ 10 = 1.2

since we are working with money, we need to add a 0 at the end to make it 1.20, since you need 100 cents to make a dollar.

another way you could write the equation is,

10% × 12 = 1.2

1.2 = 1.20

hence, the sale price for the donuts is $1.20

Answer: $10.80

Step-by-step explanation:

Hope it helps!

Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i

Answers

Let the numerator = A
Let the denominator = B
7/10=A/B


7+10=17
68/17=4
7/10 * 4/4 =28/40

therefore the two numbers are 28 and 40
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