A 100 feet driveway climbs 5 feet in height to reach the garage. What is the angle of the driveway in degrees. Report answer to nearest 0.1\displaystyle ^{\circ} ∘ (one decimal place).

Answer: i. Cost of adult ticket = $ 30

ii.  Cost of child ticket = $20

Step-by-step explanation:

Define variables:

Let x= cost of 1 adult tickets , y= cost of 1 child tickets.

Form linear equations:

5x+3y = 210      (i)

2x+5y= 160  (ii)

Multiply (i) by 2 and (ii) by 5

10x +6y = 420       (iii)

10x+25y = 800        (iv)

Eliminate (iii) from (iv)

19y = 380

⇒ y= 20

Put this in (i)

[tex]5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30[/tex]

Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20

Answer:

8. y=2x+6

9. y=1/2x-5

Step-by-step explanation:

Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.

Answer:

24 inches squared

Step-by-step explanation:

That is a triangle, and the area of a triangle is 1/2(b)(h), which is one half times the base times the height. Let's identify those things.

1/2: the area of a rectangle can be calculated base times the height, and a triangle is half of that rectangle, hence the 1/2

(b) or base: base is usually identified as the horizontal line in the triangle, which is 6 inches in this case.

(h) or height: height is usually the vertical line, and in this case, the vertical line is 8 inches.

Now time for the math:

1/2(6)(8) = 24 inches squared

Answer:

i think it is 5

Step-by-step explanation:

Answer: slope of the line is 1

Step-by-step explanation:

Answer:

1/1

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

30/6=5

9514 1404 393

Answer:

Step-by-step explanation:

Use the distributive property to distribute the outside minus sign to all terms inside parentheses.

1) 5.5x +1 -(1.5x +17) = 5.5x +1 -1.5x -17 = x(5.5 -1.5) +(1 -17)

  = 4x -16

__

2) x -3x -(-5x) = x -3x +5x = x(1 -3 +5)

  = 3x

Answer:

1. 12  2. 12  3.1/8    4. 11  5. -15   6.-60   7.20  8.225

Step-by-step explanation:

Given that :

m=2 and n=16 , p = {1-6 =-5}  then;

1.  m+10 = 2+10 = 12

2. n-4 = 16-4 = 12

3. m / n = 2/16 = 1/8

4. 6m - 1 = 6*2 - 1 = 12 -1 = 11

5. 3p =3* -5 = -15

6.12 p = 12* -5 = -60

7. 12m-4 = 12*2 - 4 = 24 -4 =20

8. 9p² = 9*-5² = 9 * 25 = 225

Answer:

4/x^6

Step-by-step explanation:

8x^3/2x^9

so first reduce the fraction with 2 .

then simplify

4/x^6

Answer:

B

Step-by-step explanation:

y=8x

y=8(2)

y=16

y=8(4)

y=32

Answer:

B

Step-by-step explanation:

cross multiply

24 • 4 =?

? ÷ 3 = 32

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

Answer:12 minutes

Hope this is right sorry if not <3

Answer:

I love ur pfp

Step-by-step explanation:

ANSWER: m∠2 = 120°, m∠3 = 60°; Sample answer: ∠1 and ∠2 are alternate exterior angles, so they have the same measure. ∠2 and ∠3 are supplementary. So, m∠3 = 180° – 120° or 60°.

Answer:

It should be A. -12^2

Step-by-step explanation:

Looking at the box B, you have to multiple 3x and -4x. 3 * -4 is -12 and the two x's become squared. Making your answer -12x^2

Answer:

[tex]f(x)=log_5 x[/tex]

Step-by-step explanation:

The answer is clear once you graph it. You can use a graphical calculator or the online graphing calculator Desmos.

Answer:

what's the question? I don't understand what's being asked

Answer:

30 grams

Step-by-step explanation:

half life is 60 days so every 60 days the amount 480 grams will be half

in 240 days will decay  240 /60 = 4 times

once 480 /2 = 240

twice 240 /2 = 120

trice 120 / 2 = 60

four times 60/2 = 30 grams will be left

Answer:

evaportation

Step-by-step explanation:

The vapor given off by water, plants, and animals is called evaporation.

Given is to find what does the water vapor given off by water, plants, and animals is called.

Evaporation is defined as the conversion of water into water vapour (into gas phase) and its release into the atmosphere. Similarly, the Water vapor given off by water, plants, and animals is called evaporation.

Therefore, the vapor given off by water, plants, and animals is called evaporation.

To solve more questions on evaporation, visit the link below -

https://brainly.com/question/320765

#SPJ2

Answer:

Linear

Step-by-step explanation:

Don't worry I just know, give me Brainliest

Answer:

32.8

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

n-6h+9

first you subtract the ns from each other because those are the only like terms

Answer:

1 1/2 kilometers

Step-by-step explanation:

If he runs 3000 meters every day and then trains for 5 days that means he ran 1 1/2 kilometers

Answer:

It would be C. 13

Step-by-step explanation:

if you line up the two lines of n and 13cm they aren't equal so I would have to say 13. sorry if I'm wrong

Answer:

I'll be honest if you don't understand your teacher just try looking it up on yt. Or like Kahn Academy. And if neither of that works just ask here, or maybe some older friends or siblings.

Answer:

24

Step-by-step explanation:

Add up all the sides to fid the perimeter. 6+6+8+4=24

Answer:

y = -4x + 16

Step-by-step explanation:

The slope of the given line is -4

when two lines are parallel, their slopes are equal

That means the slope of the second line is -4 too

Thus, we have to use the point-slope form to write the equation

That will be

y-y1 = m(x-x1)

y-8 = -4(x-2)

y -8 = -4x + 8

y = -4x + 8+8

y = -4x + 16

Answer:

See below.

Step-by-step explanation:

Slope of parallel line is -3/2.

Slope of perpendicular line is 2/3

Answer:

Step-by-step explanation:

A= 1/2 bh

10.98  = 1/2b (3.6)

10.98=b/2 (3.6)

10.98=b (1.8)

10.98/1.8=b

6.1=b