Ira went to the movies with $35.91 in
his pocket. He paid $12.50 for his
movie ticket, $6.25 for popcorn, and
$3.80 for a drink. How much is left in
his pocket?

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Answer:

30/7

Step-by-step explanation:

So we have the equation:

[tex]2x-30+5x+2=2[/tex]

Combine like terms:

[tex](2x+5x)+(-30+2)=2[/tex]

Add:

[tex]7x-28=2[/tex]

Add 28 to both sides:

[tex]7x=30[/tex]

Divide both sides by 7:

[tex]x=30/7[/tex]

So, our answer is 30/7

Or approximately 4.2857 :)

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

Answer:

From air,water and also food

Answer:

C

Step-by-step explanation:

Answer:

$9.35

Step-by-step explanation:

To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.

Popcorn $3.60

Drink       $0.75

Ride        $5.00

Total Cost $9.35

I hope this helps!

-TheBusinessMan

Answer:$9.35

Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35

======================================================

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

-----------------------

Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

-------------------------

Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

--------------------------

In summary, we found...

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

Answer:

Step-by-step explanation:      

Step 1: Subtract 15 from both sides.

1.5r+15−15=2.25−15

1.5r=−12.75

Step 2: Divide both sides by 1.5.

1.5r

1.5

=

−12.75

1.5

r=−8.5

Answer: r=-8.5

Step-by-step explanation:

1.5r+15=2.25

1.5r+15-15=2.25-15

1.5r=-12.75

1.5r/1.5=-12.75/1.5

r=-8.5

Answer:

-9.4

Step-by-step explanation:

Answer: x=27

Step-by-step explanation:

Answer:

-6.2

Step-by-step explanation:

multiply -2 times 3.1

Answer:

-6.2

Step-by-step explanation:

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system:

{3 x + 2 y - z = 8 | (equation 1)

2 z + 2 x = -4 | (equation 2)

3 y + x = 4 | (equation 3)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Multiply equation 2 by 3/4:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+7 y + z = 4 | (equation 3)

Swap equation 2 with equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x - y + 2 z = -7 | (equation 3)

Add 1/7 × (equation 2) to equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+(15 z)/7 = -45/7 | (equation 3)

Multiply equation 3 by 7/15:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract equation 3 from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y+0 z = 7 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 7:

{3 x + 2 y - z = 8 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y - z = 6 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 3 to equation 1:

{3 x+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = -3

Answer:

Let x = number of additional credits the student needs to get 4.0 GPA on. 52 credits with a GPA of 2.8 means a total of 52 * 2.8 = 145.6 145.6+4x52+x=3.2 Solve the equation for x

Step-by-step explanation:

Because i said so

Answer:

$1643.74

Step-by-step explanation:

The seller sell at $1730.25, makes 5%

Profit made = $1730.25*5% = $86.51

Hence, the wholesales price = Sales price - Profit made

Wholesales price = $1730.25 - $86.51

Wholesales price = $1643.74

Answer:

Sooo...

Step-by-step explanation:

1+2=7

Simple really.

Answer: 250 miles

Step-by-step explanation: 440/8 = 50

50 x 5 =  250

Answer:

answer is A 3.75x10^-3

Answer:

yeah its parrellell

Step-by-step explanation:

Answer:  The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2   where d is the distance

144 + 81 = d^2

225 = d^2

d= [tex]\sqrt{225}[/tex]  

d= 15

Answer:100/400

Step-by-step explanation:

The answer is 10 calories per minute, will tai burn in 1 minute while biking.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

We do not have much information to go on such as the speed that Tai is biking or his/her weight.

Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.

Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.

Therefore we can assume that Tai is burning roughly 10 calories per minute.

his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

To learn more on division click:

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#SPJ2

complete question:

How many calories will tai burn in 1 minute while biking? Enter the answer in the box.

Answer:

6

Step-by-step explanation:

Multiply 2*3

you have two groups and you put 3 people in them you get 6 people in total

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

   Total cost to produce 1000 shirts will be $3500.

            y = mx + b

            Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

          800 = m(100) + 500

             m = 3

        Equation for the total cost to produce the 'x' shirts will be,

        C(x) = 3x + 500

        C(x) = 3(1000) + 500

             x = $3500

     Therefore, total cost to produce 1000 shirts will be $3500.

Learn more about the linear equation here,

https://brainly.com/question/24391884?referrer=searchResults

⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of  liters does the tank hold when full is 240 liters.

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of  liters does the tank hold when full is 240 liters.

Learn more about number of liters here:https://brainly.com/question/24928841

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:

Answer:

The Divisor is 6 miles

Step-by-step explanation:

A Divisor is also defined as a number by which a another number called dividend is divided by with or without having a remainder.

Divisor ÷ Dividend = Quotient

We are told that Julie goes to the park and jogs a total of six miles every day. She jogs three-fourths of a mile at a time.

In 1 day = 6 miles

Spread throughout the day, or per time , Jules jogs 3/4 of a mile

To find out how many times she jogs in a day, 6 miles will be divided by 3/4

Divisor ÷ Dividend = Quotient

= 6 ÷ 3/4

= 8 times in a day.

Looking at the above, calculation, 6 miles is the Divisor.

Answer:

77

Step-by-step explanation:

why because 100+3=103

and this is half a circle so the answer is 180-103 that is 77

Answer:

Step-by-step explanation:

From the question it can be seen that all the angles lie on a straight line and

Angles on a straight line add up to 180°

To solve for x add up all the angles and equate them to 180°

That's

x + 3x + 100 = 180

4x + 100 = 180

Subtract 100 from both sides

4x + 100 - 100 = 180 - 100

4x = 80

Divide both sides by 4

We have

We have the final answer as

Hope this helps you

Answer:

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

We have

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Learn more about the expression:

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Answer:

10 :)

Step-by-step explanation:

(3x - 14) / 2 = 8

3x - 14 = 16

3x = 30

x = 10

Answer:

f(x) = -x+1

to find x-intercept/zero substitute f(x)=0.

0=-x+1

0=-x+1  move variable to the left-hand side and change its sign.

x=1

Answer:

[tex]y^4[/tex]

Step-by-step explanation:

[tex]y^2*y^2[/tex]

Let's multiply the 2 by the other 2.

[tex]2*2=4[/tex]

Let's combine it all together

[tex]2*2\\y[/tex]

Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.

[tex]y^4[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]