A ramp 31ft long raises to a platform. the bottom of the platform is 16ft from the foot of the ramp. find x, the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (6, 2) and (9, r), the slope m = -1. Substitute:

[tex]-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}[/tex]

The number of minutes the water level would be less than or equal to 64 cups is t ≥ 158.33. option B, C, D

How many minutes would the water level be less than or equal to 64 cups?

The regression equation:

W = -0.414t + 129.549

Where,

t is the number of minutes and

W is the level of water.

When w ≤ 64

W ≤ -0.414t + 129.549

64 ≤ -0.414t + 129.549

Subtract 129.549 from both sides

64 - 129.549 ≤ -0.414t

-65.549 ≤ -0.414t

Divide both sides by -0.414

t ≥ -65.549 / -0.414

t ≥ 158.3309178743961

Approximately, t ≥ 158.33

Therefore, the water level would be less than or equal to 64 cups when t is greater than or equal to 158.33

[tex]\text{Let}\ k:y=m_1x+b_!\ \text{and}\ y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have}\ y=\dfrac{9}{11}-\dfrac{5}{4}x\to m_1=-\dfrac{5}{4}.\\\\m_2=-\dfrac{1}{-\frac{5}{4}}=-\left(\dfrac{4}{5}\right)=\dfrac{4}{5}\\\\Answer:\ \boxed{D.\ \dfrac{4}{5}}[/tex]

Answer:

In the attachment!!

Hope this helps!!

-5°C < -2°C < -1°C

Look at the picture.

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.

It would have taken Homer 8 hours and 24 minutes to fix the deck himself.

Given that Homer and Mike were replacing the boards on​ Mike's old deck, and Mike can do the job alone in 1 hour less time than Homer, and they worked together for 6 hours until Homer had to go home, and Mike finished the job working by himself in an additional 6 hours, to determine how long would it have taken Homer to fix the deck​ himself, the following calculation has to be done:

Therefore, it would have taken Homer 8 hours and 24 minutes to fix the deck himself.

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3x+4/5

-24+4/5=-20/5=-4

-4-4=-8.

-8+2(-8)=-8-16=-24 or B.

Answer:

i think the answer is 85

hope this helps

Step-by-step explanation:

Answer:

85 is a composite number

Step-by-step explanation:

3 = 1 × 3

5 = 1 × 5

19 = 1 × 19

71 = 1 × 19

85 = 1 × 85 = 5 × 17

Answer:

60

Step-by-step explanation:

Answer:

4 (x + 1)

Hope That Helps!

Answer: -8, -6, -4, -2

Step-by-step explanation:

This would be the ideal choice because an arithmetic sequence is something that progresses, and in this case, the correct answer choice increases by 2 each time.

Answer:

-8,-6,-4,-2 .... is Arithmetic series.

Step-by-step explanation:

Since common difference is 2 in the -8,-6,-4,-2....

or we can get next term on adding 2 in each term

so it is arithmetic series.

Answer:

36 fruit tarts

Step-by-step explanation:

90 x .40 = 36 fruit tarts

[ Answer ]

$25 An Hour

[ Explanation ]

We already know the total amount he has right now. We also know how long he has worked at his job. To solve, we can use division.

Divide 1500 by 60

1500 / 60

= 25

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Answer:

1500 ÷ 60 = 25

Step-by-step explanation:

He worked for 60 hours and got $1500, 1500 divided by 60 equals 25 dollars each hour.

Answer:

The correct option is 1.

Step-by-step explanation:

Let the amount invested in utility bound be x. So, the amount invested in saving account is (10000-x).

It is given that the yearly income from the two investments is same.

[tex]\text{9\% of x}=\text{6\% of (10000-x)}[/tex]

[tex]\frac{9}{100}\times x=\frac{6}{100}\times (10000-x)[/tex]

[tex]\frac{9x}{100}=600-\frac{6x}{100}[/tex]

[tex]\frac{9x}{100}+\frac{6x}{100}=600[/tex]

[tex]\frac{15x}{100}=600[/tex]

[tex]15x=60000[/tex]

[tex]x=4000[/tex]

The amount invested in utility bound is $4000.

[tex]10000-x=10000-4000=6000[/tex]

The amount invested in saving account is $6000.

Answer:

10% discount

Step-by-step explanation:

Answer:

$352.33

Step-by-step explanation:

100% Rep. $334.60

105% Rep. 334.60/100 * 105%

=$351.33

Answer:

C

Step-by-step explanation:

the coefficient of a term is the numeric value including the sign in front of the variable/ s

the fourth term in the expression is - 20xy

The coefficient of this term is - 20 → C

Divide the total price by the total number of books from each printer to find the price per book:

Printer A: $350 / 100 books = $3.50 per book

Printer B: $150 / 40 books = $3.75

Printer A has the lowest price.

Final answer:

The question is a mathematics problem comparing the cost per book from two different printers. By calculating and comparing, we see that Printer A offers a lower price at $3.50 per book compared to Printer B's $3.75 per book.

Explanation:

The student is asking a math question related to finding the lower price between two options for purchasing books. To determine which printer offers the better deal, we need to calculate the cost per book for each printer.

Printer A: $350 per 100 books, which is $3.50 per book.

Printer B: $150 per 40 books, which equates to $3.75 per book.

By comparing the costs, we see that Printer A offers the lower price at $3.50 per book, while Printer B's price is higher at $3.75 per book. Therefore, Bennie Blinko should order from Printer A to get the best deal.

Answer:

A movie ticket costs $9.

A snack costs $2.

Step-by-step explanation:

So the word problem is asking us to find the cost of a movie ticket and a snack, therefore we will label the cost of a movie ticket as "m" and the cost of a snack as "s".

In the word problem we are given two equations:

2m (movie ticket cost) + 3s (snack cost) = $24

&

3m (movie ticket cost) + 4s (snack cost) = $35

To figure out the cost of a snack we need to get the variables in both equations to be "opposites", so we use substitution.

We multiply everything in the first equation by 3 which gives us:

6m + 9s = $72

And in order to make the other equation the opposite we multiply everything in the second equation by -2 giving us:

-6m + -8s = $-70

Now we add both equations since the variables for m are opposites.

    6m + 9s = $72

+  -6m + -8s = $-70

   s = $2

Now we put s back into one of our original equations and to do that I am going to use 2m + 3s = $24

2m + 3s (2) = $24   ----> 2m + 6 = $24

Now, in order to get the value of m, we need to get rid of the 6 by  subtracting 6 from both sides of the equation.

2m= $18

Now we divide by 2 on both sides to get m by its self.

m= $9

And to check to make sure we are right:

2m (9) + 3s (2) = $24

$18 + $6 = $24 (true)

A movie ticket costs 9$ and a snack costs 2$.

A movie ticket costs $6 and a snack costs $4.

To solve this problem, we can set up a system of linear equations based on the information given. Let's denote the cost of a movie ticket as t and the cost of a snack as s.

From the question, we have two equations:

1. For two movie tickets and three snacks, the total cost is $24:

[tex]\[ 2t + 3s = 24 \][/tex]

2. For three movie tickets and four snacks, the total cost is $35:

[tex]\[ 3t + 4s = 35 \][/tex]

Now, let's solve this system of equations. We can start by isolating one of the variables in one of the equations. For example, we can solve the first equation for s:

[tex]\[ 2t + 3s = 24 \][/tex]

[tex]\[ 3s = 24 - 2t \][/tex]

[tex]\[ s = \frac{24 - 2t}{3} \][/tex]

Now we can substitute this expression for s into the second equation:

[tex]\[ 3t + 4\left(\frac{24 - 2t}{3}\right) = 35 \][/tex]

Multiplying through by 3 to clear the fraction, we get:

[tex]\[ 9t + 4(24 - 2t) = 105 \][/tex]

[tex]\[ 9t + 96 - 8t = 105 \][/tex]

[tex]\[ t = 105 - 96 \][/tex]

[tex]\[ t = 9 \][/tex]

Now that we have the cost of a movie ticket, we can substitute [tex]\( t = 9 \)[/tex] back into our expression for s:

[tex]\[ s = \frac{24 - 2(9)}{3} \][/tex]

[tex]\[ s = \frac{24 - 18}{3} \][/tex]

[tex]\[ s = \frac{6}{3} \][/tex]

[tex]\[ s = 2 \][/tex]

Therefore, a movie ticket costs $6 and a snack costs $4.

The complete question is

A group of friends bought 2 movie tickets and 3 snacks for a total of $24. Another group bought 3 movie tickets and 4 snacks for a total of $35. What is the cost of a movie ticket and the cost of a snack?

Answer:

Your answer should be D.

Step-by-step explanation:

this is because the points being represented have a posotive slope that is up 3 over 1 so therefore you slope is 3

Answer:

D) y = 3x - 7

Explanation:

Just plug in the x values for x in the function, if you get the y number every time, then it is correct.

For example I did, (3 · 4) - 7 = 5 and (3 · 3) - 7 = 2 and so on, getting the y number every time. With the other functions, when you do this, you don't get the y number EVERY time.

I hope this helps!

Good luck on ur quiz!!

:)

Answer:

He translated them the wrong way.

It should of gone up 2 and right 2 not down 2 and left 2.

The correct coordinates would be (A' = 3,0) (B' = 3, -3) (C' = 2, -2)

Please mark brainliest would rly help.

Step-by-step explanation:

Answer:

13n - 6 is your correct answer

The written statement 'six less than the product of 13 and a number' is translated into the algebraic expression 13n - 6, where 'n' represents the unknown number.

The student is asking to translate a written statement into a mathematical expression using a variable. The statement is 'six less than the product of 13 and a number' and we are using the variable n to represent the unknown number. To form this expression, first consider the 'product of 13 and a number', which is written as 13n. Then, to represent 'six less than' this product, you would subtract 6 from it, resulting in the expression 13n - 6.

Answer:

6 , 2 , 5 , 7 , 4 , 1 , 3

Step by Step:

1) x - 3(10 - 2x) = -2

x - 30 + 6x = -2

7x - 30 = -2

7x = 28

x = 4

2) x + 2(4 - 2x) = 5

x + 8 - 4x = 5

-3x + 8 = 5

-3x = -3

x = 1

3) 5(18 - 4y) + y = 33

90 - 20y + y = 33

90 - 19y = 33

-19y = -57

y = 3

x = 18 - 4(3)

x = 18 - 12

x = 6

4) 8x + 4(13 - 2x) = 52

8x + 52 - 8x = 52

52 = 52

5) x + 3(-11 + 6x) = 5

x - 33 + 18x = 5

19x - 33 = 5

19x = 38

x = 2

6) -6(5 - 2y) - 3y = -2

-30 + 12y - 3y = -2

-30 + 9y = -2

9y = 28

y = 3

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

7) 2x + 3(10+x) = 45

2x + 30 + 3x = 45

5x + 30 = 45

5x = 15

x = 3

Answer:

The order for the systems is 2), 5),7), 1) and 3)

Step-by-step explanation:

To find the solution for ecah system first you have to choose a method, for example you can isolate one of the variables (x or y) in both equations and then equal each other.

1) 2x + y = 10 ⇒ y= 10 - 2x

  x - 3y = -2 ⇒ -3y = -2 - x ⇒ y = (-2 - x)/-3 ⇒ y = 2/3 + (1/3)x

Now you have to equal both equations

10 - 2x = 2/3 + (1/3)x ⇒ 10 - 2/3 = (1/3)x + 2x ⇒28/3 = (7/3)x

⇒ (28/3)/(7/3) = x ⇒ 4.

With the "x" value obtained we return to the original equations and replace it there to find "y".

2x + y = 10 ⇒ 2(4) + y = 10 ⇒ y= 10 - 8 ⇒ y =2

The solution to the system is (4,2).

If you do the same for all the systems you will find that the solutions are

2) x + 2y = 5

 2x + y = 4

Solution = (1, 2)

3) 5x + y = 33

   x = 18 − 4y

Solution = (6,3 )

4) y = 13 − 2x

  8x + 4y = 52

Solution = ∅, no solution

5) x + 3y = 5

  6x − y = 11

Solution = (2, 1)

6) 2x + y = 10

   -6x − 3y = -2

Solution = ∅, no solution.

7) y = 10 + x

  2x + 3y = 45

Solution = (3, 13)

Answer:

3 weeks x 110 minutes = 330 minutes

330 minutes a week x 14 weeks = 4620 minutes

4620 divided by 60 minutes = 77 hours

77 hours is your answer

Step-by-step explanation:

Team practices for 4620 minutes or 770 hours during the season.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Soccer team participates 3 times a week,

One practice lasts for 110 minutes,

And The team practice for total 14 weeks.

Total time practice in one week = 3 x 110 = 330 minutes

Since, total week are 14,

So total duration for practice = 14 x 330 = 4620 minutes

Total time duration in hours = 4620 / 60 hours = 770 hours.

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Answer:

t = 1 3/7 hours

Step-by-step explanation:

For plane 1

distance = rate *t

d1 = 40 *t

For plane 2

distance = rate * time

d2 = 100 * t

We know that d1+d2 = 200  (the planes will meet)

We know that the times will be the same because the leave at the same time.

Substitute in d1 =40t and d2 = 100t into  d1+d2 = 200

d1+d2 = 200

40t + 100t = 200

Combine like terms

140t = 200

Divide each side by 140

140t/140 = 200/140

t= 200/140

t= 20/14

t = 10/7

t = 1 3/7 hours

Answer:

1 3/7 hours is the answer :)

Step-by-step explanation:

The length of the third side can be any value in the interval:

4 < x  <10

For any triangle whose side lengths are A, B, and C, the triangular inequality says that the sum of the lengths of any two sides must be larger than the length of the other side, then:

A + B > C

A + C > B

C + B > A

Here we know that the side lengths are 3, 7 and x.

Then we can write:

3 + 7 > x

x + 3 > 7

x + 7 > 3

Solving these, we can write:

10 > x

x > 7 - 3 = 4

x > 3 - 7 = -4

Then the range of possible values of the third sides are:

4 < x  <10

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