Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as $0.50 for each ride, r. The expression 0.50r + 20 represents this situation. Evaluate this expression when r = 15. Explain what this value means in terms of the context of Stephanie's visit to the amusement park.

Answer:

12 pack

Step-by-step explanation:

Buying  12-pack of 12-oz cans  will be  the better choice.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given here , pack of 12 oz cans at $4.75 and hence volume of such 12 packs = 12 × 12 = 144 oz

and seven 20 oz bottles at $ 6.3 the volume is = 20 × 7 = 140 0z

Hence clearly  12-pack of 12-oz is the better choice

Learn more about unitary method here:

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Answer:

[tex]f(n) = 15 + (n + 1)[/tex]

Step-by-step explanation:

Tina earns $15 every week when she mows the lawn.

We would put $15 because she earns $15 every week.

She earns 15 every week, so we would put (n + 1).

Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]

Answer:

The explicit rule is:

[tex]f(n)=60+15(n-1)[/tex]

After 15 week, Tina will have $270 in her savings account.

Step-by-step explanation:

Let’s write down our sequence so we can see it better.

For the first week (i.e. the first term), Tina has $60.

For the second week (i.e. the second term), Tina has $75.

And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.

Therefore, we can write the following sequence:

60, 75, 90, 105, 120, 135...

Note that our initial term a is 60.

And our common diffference will be 15.

Let’s find the explicit rule. The standard format for an explicit rule is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:

[tex]f(n)=60+15(n-1)[/tex]

So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:

[tex]f(15)=60+15(15-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]

Hence, after 15 weeks, Tina would have $270 in her savings account.

Answer:

All of the following have the same solution except b + 2 = 8

Answer:

the answer is D.

Step-by-step explanation:

A.   [tex]50 = 5 m = 10=m[/tex]

B.    [tex]x-6=4 = x=10[/tex]

C.   [tex]w/5=2 = w=15[/tex]

D. [tex]b+2=8 = b=6[/tex]

hope this helps and feel free to give brainiest

Answer:

1) Please find attached the diagram showing the answer to the question

The area of the diagram is (3x + 1)(x + 2) = 3 dark green squares + 7 light green squares + 2 Plain squares

∴ (3x + 1)(x + 2) = 3·x² + 7·x + 2

2) When x = 1, (1 + 4)² = 25 ≠ 2 × 1² + 8 × 1 + 8 = 18

Therefore, (x + 4)² is not equivalent to 2·x² + 8·x + 8

Step-by-step explanation:

1) In the attached diagram, we have;

For x = 1

(3x + 1)(x + 2) = (3 + 1)(1 + 2)

Therefore, the length of the sides of the rectangle are;

Height = 4, and Width = 3

For x = 1, x² = 1² = 1

∴ 3·x² = 3, 7·x = 7 × 1 = 7, and 2 = 2

Therefore, from the diagram, we have;

The area = (3x + 1)(x + 2) = 3 dark green squares + 7 light green squares + 2 Plain squares

∴ (3x + 1)(x + 2) = 3·x² + 7·x + 2

The diagram for when x = 3 is also included

2) For (x + 4)², we have;

When x = 1, (x + 4)² = (1 + 4)² = 25

However;

When x = 1, 2·x² + 8·x + 8 = 2 × 1² + 8 × 1 + 8 = 18

Therefore;

(x + 4)² is not equivalent to 2·x² + 8·x + 8

1) Please find attached the diagram showing the answer to the question

The area of the diagram is (3x + 1)(x + 2) = 3 dark green squares + 7 light green squares + 2 Plain squares

∴ (3x + 1)(x + 2) = 3·x² + 7·x + 2

2) When x = 1, (1 + 4)² = 25 ≠ 2 × 1² + 8 × 1 + 8 = 18

Therefore, (x + 4)² is not equivalent to 2·x² + 8·x + 8

Step-by-step explanation:

1) In the attached diagram, we have;

For x = 1

(3x + 1)(x + 2) = (3 + 1)(1 + 2)

Therefore, the length of the sides of the rectangle are;

Height = 4, and Width = 3

For x = 1, x² = 1² = 1

∴ 3·x² = 3, 7·x = 7 × 1 = 7, and 2 = 2

Therefore, from the diagram, we have;

The area = (3x + 1)(x + 2) = 3 dark green squares + 7 light green squares + 2 Plain squares

∴ (3x + 1)(x + 2) = 3·x² + 7·x + 2

The diagram for when x = 3 is also included

2) For (x + 4)², we have;

When x = 1, (x + 4)² = (1 + 4)² = 25

However;

When x = 1, 2·x² + 8·x + 8 = 2 × 1² + 8 × 1 + 8 = 18

Therefore;

(x + 4)² is not equivalent to 2·x² + 8·x + 8

Answer: 1) Please find attached the diagram showing the answer - 1

Answer: 1) Please find attached the diagram showing the answer - 1

Answer: 1) Please find attached the diagram showing the answer - 2

Explore all similar answers

Answer:

Committee of Public Information

Step-by-step explanation:

Answer:

1. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. After solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Step-by-step explanation:

We need to Solve the equations.

1.  [tex]10 - 6 x = 4 + 5 x[/tex]

Step 1: Subtract 5x on both sides

[tex]10 - 6 x-5x = 4 + 5 x-5x\\10-11x=4[/tex]

Step 2: Subtract 10 on both sides

[tex]10-11x-10=4-10\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

2. [tex]7-6x=1+5x[/tex]

Step 1: Subtract 5x on both sides

[tex]7 - 6 x-5x = 1 + 5 x-5x\\7-11x=1[/tex]

Step 2: Subtract 7 on both sides

[tex]7-11x-7=1-7\\-11x=-6[/tex]

Step 3: Divide both sides by -11

[tex]\frac{-11x}{-11}=\frac{-6}{-11}\\x=\frac{6}{11}[/tex]

So, after solving we get value of x: [tex]\mathbf{x=\frac{6}{11} }[/tex]

Answer:

x= 1.16 y=14 ...........

Answer:

x intercept= -1/2

y intercept= 4

Step-by-step explanation:

its easy, the answers are in the equation- y=−1/2x+4

Answer:

3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: y=-3x-16

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is slope and b is y-intercept.

y-2=-3(x+6)        [distribute]

y-2=-3x-18          [add both sides by 2]

y=-3x-16

Now, we see that the equation above matches the slope-intercept form equation. You can see that m=-3 and b=-16.

Answer:

There is no smoke due to it being an electric train.

Step-by-step explanation:

Didn't fool me. ;)

Answer:

[tex]\frac{M-3c}{b}=a[/tex]

Step-by-step explanation:

[tex]M=ab+3c\\M-3c=ab\\\frac{M-3c}{b}=a[/tex]

Answer:

[tex]\frac{m - 3c}{b} = a[/tex]

Step-by-step explanation:

m = ab + 3c

-3c        - 3c

m - 3c = ab

[tex]\frac{m - 3c}{b} = \frac{ab}{b}[/tex]

[tex]\frac{m - 3c}{b} = a[/tex]

Answer: 17 feet

Step-by-step explanation:

Step-by-step explanation:

it's blurry i can't clearly see

Answer:

-7/8

Step-by-step explanation:

change the denominator and numerator of -1/2 by multiplying both by 4.

Then you get -4/8 instead of -1/2. This allows you to then subtract the -3/8 with -4/8 which equals -7/8.

Answer:

f(x-2)

Step-by-step explanation:

This is because f(x)-2 or f(x)+2 is moving it up or down and f(x+2) seems like it would be the right answer but it is reversed when it's in parenthesis so it would actually be moving 2 to the left.

Answer:

its f (x-2)

Step-by-step explanation:

i got this on my quiz and i got it right! i  hoped this helped!!!

Answer:

The answer is in the picture below

Step-by-step explanation:

Answer:

a. The answers obtained are as follows:

Frequency for flossing 7 times per week = 24

Relative frequency for flossing 4 times per week = 0.1231

Cumulative Frequency at flossing 1 time per week = 22

b. The Cumulative Relative Frequency at flossing 7 time per week is 100%.

Step-by-step explanation:

Note: This question is not complete and the data in it are merged together. The complete question is therefore provided with the sorted data before answering the question. See the attached pdf file for the complete question.

The explanation to the answers is now provided as follows:

a. Complete the table (Use 4 decimal places when applicable)

Note: See part a of the attached excel for the complete table (answers are in bold red color)

Frequency is the rate at which something or an event occurs in a particular sample.

Since we already have frequency for others flossing times per week and we have 130 adults as the sample, the frequency for flossing 7 times per week is calculated by deducting the frequencies of others from 130 as follows:

Frequency for flossing 7 times per week = 130 – 10 – 12 – 14 – 18 – 16 – 21 – 15 = 24

Relative Frequency refers to the fraction of times an event occurs. The relative frequencies in this question are calculated by dividing each frequency by the total number of adults in the sample, i.e. 130. The relative frequency for flossing 4 times per week is therefore calculated as follows:

Relative frequency for flossing 4 times per week = Frequency for flossing 4 times per week / Total number of adults in the sample = 16 / 130 = 0.1231

Cumulative Frequency is calculated by adding the current frequency to the previous Cumulative Frequency. The Cumulative Frequency at flossing 1 time per week is therefore calculated as follows:

Cumulative Frequency at flossing 1 time per week = Cumulative Frequency at flossing 0 time per week + Frequency at flossing 1 time per week = 10 + 12 = 22

b. What is the cumulative relative frequency for flossing 7 times per week? %

Note: See part b of the attached excel for the complete table (answer is in bold red color)

The cumulative relative frequency refers to the accumulation of the previous relative frequencies.

Cumulative Relative Frequency is calculated by adding the current relative frequency to the previous Cumulative Relative Frequency. It should be noted that the first cumulative relative frequency equal to the first relative frequency.

The Cumulative Relative Frequency at flossing 7 time per week is therefore calculated in the attached excel file as follows:

Cumulative Relative Frequency at flossing 1 time per week = Cumulative Relative Frequency at flossing 6 times per week + Relative Frequency at flossing 7 times per week = 0.8154 + 0.1846 = 1.0000

Since the question indicates that the Cumulative Relative Frequency at flossing 7 time per week should be stated in percentage term, we therrefore have:

Cumulative Relative Frequency at flossing 7 time per week = 1.0000 * 100 = 100%.

Answer:

0,2

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 ÷ 2 4/9

36/11 or 3 3/11 or 3.27

Answer:

In exact form it is 36/11. In decimal form it is 3.277777 going on forever. And last is mixed number form 3 3 11.

Step-by-step explanation:

Answer:£61.6 in 7 hours

Step-by-step explanation:

£8.80*7=£61.6

Answer:

50g

Step-by-step explanation:

83g

3hrs=5g

83/5=16.6

16.6x3=49.8=50g

Answer:

The area of the shelf is 86.59 square inches

Step-by-step explanation:

The formula of the area of the circle is A = π r², where

∵ The corner shelf is [tex]\frac{1}{4}[/tex] of a circle

→ That means its area is [tex]\frac{1}{4}[/tex] the area of the circle

∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × area of the circle

∵ Area of the circle = π r²

∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × π r²

∵ The radius of the shelf is 10.5 inches

∴ r = 10.5 inches

→ Substitute the values of r in the formula of the area

∴ The area of the corner shelf = [tex]\frac{1}{4}[/tex] × π × (10.5)²

∴ The area of the corner shelf = 86.59014751

→ Round it to the nearest hundredth

∴ The area of the corner shelf = 86.59 square inches

∴ The area of the shelf is 86.59 square inches

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector =  [tex]\frac{270}{360}[/tex]×pi×15×15

                          = 168.75pi

1) Smaller sector = [tex]\frac{360-270}{360}[/tex]×pi×15×15

                             = [tex]\frac{90}{360}[/tex]×pi×15×15

                             = 56.25pi

2) Bigger sector =  [tex]\frac{270}{360}[/tex]×3.14×15×15

                           = 529.875

2) Smaller sector = [tex]\frac{360-270}{360}[/tex]×3.14×15×15

                             = [tex]\frac{90}{360}[/tex]×3.14×15×15

                             = 176.625

Answer:

Do not post random subjects in mathematics.

Also, pain is temporary.

If you end your life you just pass it onto someone else.

Try to find people online that understand you. The reason why you can't do anything is because you keep telling yourself that. This sounds cringe but try new things and venture. Try meditation or yoga. If you aren't an open person then you can do breathing exercises in private. While you take in your breath think positively. I hope this advice can help you! Never give up!

Answer:

no

Step-by-step explanation:

Answer:

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) The limits of the combinations of fruits that are opened to her, derived using the Chart function on Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Step-by-step explanation:

The price per Melon = 50c = $0.5

The price per orange = 25c = $0.25

The amount she has to spend = $2

The number of melons she must buy ≤ 2

The number of oranges she must buy ≥ 4

The total number of fruits she should ≥ 6

Let x be the number of melons

Let y be the number of oranges

a) The four inequalities are;

1) x ≤ 2

2) y ≥ 4

3) x + y ≥ 6

4) 0.5 × x + 0.25 × y ≤ 2

b) Please find attached the required graph of the combination of fruits the girl buys created with Microsoft Excel

The combinations of the vertices of the feasible combinations that are opened to her, obtained from the creation of the combined graph, using Microsoft Excel are;

1) (0, 8) which is 0 melons and 8 oranges

2) (0, 6) which is 0 melons and 6 oranges

3) (2, 4) which is 2 melons and 4 oranges

Answer:

Step-by-step explanation:

We must reverse this operation in order to solve it.

First, add one cousin to 8.

8 + 1 = 9.

Then, divide 9 by 3.

9 / 3 = 3.

Answer:

17+t=19

Step-by-step explanation:

there u go buddy :(