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A) The number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

B)  32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

Answer:

12. ⇒ 218 °

13. ⇒ 282 °

Step-by-step explanation:

Problem 12:

Given - MK = 10 m

JK = 52 °

Since ∠LNJ = 90 °

Then LKJ = 90 °

So, KL = 90 ° - 52 ° = 38 °

Now, MK = 180 °

= MKL = MK + KL

= 180 ° + 38 °

= 218 °

Problem 13:

VYX = 360° - (YW + 15°)

YW = 180° - 117° = 63°

VYX = 360° - (63° + 15°) = 360° - 78° = 282°

Answer:

Step-by-step explanation:

Answer:

7172.6

Step-by-step explanation:

Answer:

P= -88

Step-by-step explanation:

Since P=xy (Or x times y)

We can solve it since we know that x and y is: 8 and -11

So 8 times -11

Which is -88

Thus P= -88

Hope this helps!

Step-by-step explanation:

(5a³-2)(5a³+2)

Answer:

The value of n is 5.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Solution :

By using the transposition method. we get,

[tex]{\dashrightarrow{\tt{3n + 2 = 17}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 17 - 2}}}[/tex]

[tex]{\dashrightarrow{\tt{3n= 15}}}[/tex]

[tex]{\dashrightarrow{\tt{n= 15 \div 3}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \dfrac{15}{3}}}}[/tex]

[tex]{\dashrightarrow{\tt{n= \cancel{\dfrac{15}{3}}}}}[/tex]

[tex]{\dashrightarrow{\underline{\boxed{\tt{\red{n= 5}}}}}}[/tex]

Hence, the value of n is 5.

[tex]\rule{300}{1.5}[/tex]

Solve : 3n + 2 = 17

n = 5

=> 3n + 2 = 17

=> 3n = 17-2

=> 3n = 15

=> n = 15/3

=> n = 5

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

60m

How?

5m × 3m × 4m

5m × 3m = 15m

15m × 4m = 60m

Therefore

the answer is 60

Answer:

-3

Step-by-step explanation:

I just need 20 characters to help out so yeah

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

Answer:

C. (3, -1) is a solution

Step-by-step explanation:

It is inside in the double shaded area.

Answer:

Part A. 4x

Part B. Mr. Jefferson could ride 3 miles in 12 minutes

Step-by-step explanation:

Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.

Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.

__________________________________________________________

Hope this helps!!!

If I am incorrect, please tell me; I enjoy learning form my mistakes:)

Answer:

dsde

Step-by-step explanation:

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

Learn more about compounding interest rate here:

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-8.1

Step-by-step explanation:

[tex] \frac{ - 4}{9} x + 2.4 = 6[/tex]

Times all by 9 to get rid of fraction

[tex] - 4x + 21.6 = 54[/tex]

Take 21.6 away from both sides

[tex] - 4x = 32.4[/tex]

Divide by -4

[tex]x = - 8.1[/tex]

Answer: -8 1/10

Step-by-step explanation:

Answer: 2 is the maximum number of gigabytes

Step-by-step explanation:

Answer:

tha.nks for the p.oints buddy!

Answer:

30%

Step-by-step explanation:

3 rows out of 10 are shaded green. 3/10 is 30%

Explanation:

Ignore the horizontal lines. Think of this figure as 10 skinny rectangles line up side by side. Three of them are shaded, so we have 3/10 = 0.30 = 30% of it shaded.

If you wanted to include the horizontal lines, then we have 10*3 = 30 green little squares out of 10*10 = 100 total squares. This leads to the same answer 30/100 = 0.30 = 30%

The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4

Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.

From the given function, the expression at the numerator is 4x.

Similarly for the expression h(x) = 4x, the coefficient of the expression is 4

Learn more on horizontal asymptote here: https://brainly.com/question/21678319

Answer: C

Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation

The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Given :

The following steps can be used in order to determine the total number of significant figures of C:

Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.

Step 2 - It is also given that C is equal to A times B.

Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/11904364

Answer: c

Step-by-step explanation:

Answer:

step A

Step-by-step explanation:

she should have added x to both sides.

Answer:

-x+6=5x+30

6=6x+30

6x=-24

x=4

if you want to get rid of the -x you have to add x not take away x

Hope This Helps!!!

Answer:

ililil

Step-by-step explanation:

Answer:

8.9443

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

Step by step procedure:

Find the difference between coordinates:

(x2-x1) = (-9 - -1) = -8

(y2-y1) = (2 - -2) = 4

Square the results and sum them up:

(-8)2 + (4)2 = 64 + 16 = 80

Now Find the square root and that's your result:

Exact solution: √80 = 4√5

Approximate solution: 8.9443

Answer:

pay: 32,000*12 ( since its per month) =384,000

income tax: 384,000*0.45 = 172,800

EI: 384,000*0.0173=6,643.20

CPP: 384,000*0.0495=19,008

Yearly Pay will be 384,000-172,800-6,643.20-19,008= $185,584.80

Weekly pay (paycheck) = 42320.91/52 = $ 3,568.25

Step-by-step explanation:

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise