Mathematics College

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

a.(2 × 25) + 105

b.(105 x 2) + (25 x 2)

c.2 x (25 + 105)

d.2 x 25 × 105

Answers

Answer 1

Answer:

a.(2 × 25) + 105

Step-by-step explanation:

Let the number of hours spent repairing the bike = x

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.

Therefore, our algebraic expression

= $25× x + $105

= 25x + 105

We were told in the question that He spent 2 hours repairing her bike.

Hence:

25 × 2 + 105

Therefore, the correct option is option a

a.(2 × 25) + 105

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Answer:

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

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20x?

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Step-by-step explanation:

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PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.

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Answer:

Its oka linden

Step-by-step explanation:

Just cause

Write the equation in slope intercept form of the line perpendicular to the given line that passes through the-given points (8,-5);y=2x+3

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Answer:

y -y1= m(x-x1) is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?

Answers

Answer:

y = -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a ; b ; and c. For that we have three conditions therefore

Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $ or y = 432 and

432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c

Second condition selling at 13 $ each T-shirt she sells 34 , then

13*34 = 442

442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c

And the third condition

11*38 = 418

418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c

We have a three equation system

432 = 144*a + 12*b + c (1)

442 = 169*a + 13*b + c (2)

418 = 121*a + 11*b + c (3)

We need to solve it for a, b and c

Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)

24 = 48*a + 2*b

Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )

24 = 48*a + 20 - 50*a

24 - 20 = -2*a

4 = - 2*a

a = - 2 and b = 10 - 25*( -2) b = 60

Finally c is: 432 = 144*a + 12*b + c

432 = 144* ( -2) + 12*60 + c

432 = - 288 + 720 + c

432 = 432 + c

c = 0

The quadratic function is:

y = -2*x² + 60*x

"Out of" is used when you want too divide . True or false ?

Answers

Answer:

I think it's true

Step-by-step explanation:

Answer: this is true

Step-by-step explanation:

The term out of is express as a fraction

Example:

1/2

This is 1 out of 2

Hope this helps ;)

Given that line AD ll to line EH, find the measure of

Answers

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.

Answers

Answer:

648 inches

Step-by-step explanation:

12 + 6 = 18 yards

there are 36 inches in 1 yard

so there is 648 inches in 18 yards

Answer:

she has 18 yards of fabric all together

How would you write twenty-one thousand, six hundred fifty-sixin standard form?
2165
21666
21566
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Answers

option 4 because all the numbers line up and i don’t know i just know that’s right

Answer:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

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Answers

The answer is the last option: The associative property of multiplication

What accounted for the high mortality rate of the French Army in Russia?

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Answer:the lost the war

Step-by-step explanation:

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Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

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Answer:

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Step-by-step explanation:

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Choose A or C that’s all on u

5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

Which relation is a function?

{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

6n + 13 = 43

a
6
b
-5
c
5
d
-5

Answers

Answer:

C) n=5

Step-by-step explanation:

6n+13=43

6n+13-13=43-13

6n=30

6n/6=30/6

n=5

Answer:

Your answer is c

Step-by-step explanation:

Here you go mate

Step 1

6n+13=43 Equation/Question

Step 2

6n+13=43 Simplify

6n+13=43

Step 3

6n+13=43 Subtract 13 from sides

6n=30

Step 4

6n=30 Divide sides by 6

Answer

n=5

Hope this helps

Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS

Answers

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

Step-by-step explanation:

Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.

Answers

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:

Answers

Answer: the initial number of water lily’s

Step-by-step explanation:

the value 1.106 represents the population increase rate

edge 2021

The value 3.915 represents the initial population of water lilies

Expoenential equations

The standard exponential equation is given as y = ab^x

where;

a is the initial populationb is the rate (growth or decline)

Given the exponential equation y = 3.915(1.106^x

On comparison, we can see that;

a = 3. 915

This shows that the value 3.915 represents the initial population of water lilies

Learn more on exponential equation here: https://brainly.com/question/2456547

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

-110x - 88y = -4906

+ 176x + 88y = 6424

66x = 1518

x = 1518 / 66

x = 23

find 'y': 10(23) + 8y = 446

230 + 8y = 446

8y = 216

y = 27

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Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him? a.(2 × 25) + 105 b.(105 x 2) + (25 x 2) c.2 x (25 + 105) d.2 x 25 × 105

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Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

a.(2 × 25) + 105

b.(105 x 2) + (25 x 2)

c.2 x (25 + 105)

d.2 x 25 × 105