Solve each of these equations. Explain or show your reasoning.

2b+8−5b+3=-13+8b−5
2x+7−5x+8=3(5+6x)−12x
2c−3=2(6−c)+7c

Answer:

6. The distance Rampy Ronald would have travelled horizontally is approximately 48.428 feet for an actual maximum height of 21.486 feet

7. Rampy Ronald is going to make the jump

Please find attached the graph of the motion of Rampy Ronald, created with Microsoft Excel

Step-by-step explanation:

6. The given parameters are;

The width of the ravine = 80 ft

The inclination of the ramp with which Rampy Ronald will jump = 30°

The distance from the edge of the ravine the ramp ends = 5 feet

The speed with which Rampy Ronald will make the jump = 60 mph

The maximum height he will reach = 30 feet

Therefore, we have;

The height of the end of the ramp = 15 × sin(30°) = 7.5

The height of the end of the ramp = 7.5 feet

The height of the jump = 30 - 7.5 = 22.5

The vertical velocity = 60 × sin(30°) = 30

The vertical velocity = 30 mph

The horizontal velocity = 60 × cos(30°) = 30·√3

The horizontal velocity = 30·√3 mph

From the kinematic equation, v² = u² - 2gh, we have;

u² = 2gh

h = u²/2g = 900/(2 × 32.17405) ≈ 13.986

The maximum height reached 13.986 + 7.5 = 21.486

From v = u - gt

t = u/g = 30/32.17405 ≈ 0.932

t  ≈ 0.932 s

The distance Rampy Ronald would have travelled horizontally = 30·√3 × 0.932 ≈ 48.428

The distance Rampy Ronald would have travelled horizontally ≈ 48.428 feet

7. The time before Rampy Ronald reaches ground level again, is given by the following relation;

h = 1/2·g·t²

21.846 = 1/2 × 32.17405 × t²

t = √(21.846/16.087025) ≈ 1.165

t ≈ 1.366 s

The horizontal distance traveled is therefore;

The horizontal distance traveled from maximum height is 30·√3 × 1.165 ≈ 60.535

The horizontal distance traveled from maximum height is ≈ 70.979 feet

The total horizontal distance traveled ≈ 48.428 + 60.535 = 108.963

The total horizontal distance traveled ≈ 108.963 feet

The total horizontal distance required to make it across the ravine = 5 feet + 80 feet = 85 feet

Therefore, Rampy Ronald is going to make the jump

Answer:

B

Step-by-step explanation:

When graphed, it doesnt not pass through the origin, but it is completely staight/linear.

Answer:

d

Step-by-step explanation:

Answer:

-7/10, -0.2, 1/2, 0.7

Step-by-step explanation:

Plzz have brainiest

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

Answer:79.50

Step-by-step explanation:

Answer:

Enlargment

Step-by-step explanation:

Answer:

Aunt drove  4 hours

Uncle drove 6 hours.

Step-by-step explanation:

Equations:

580 = 55/x + 60/y

600 = 55x + 60y

Happy Holidays!

Answer:

6

Step-by-step explanation:

200. Move decimal twice to the left. 1% of 200 is 2. 2*3 is 6.

Answer: 81, 664 is the total!

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

x+15=6x-65

x+80=6x

80=5x

16=x

hope this helps :P

Answer:

572

Step-by-step explanation:

4y + (-2e) + 6x

4(14) + (-2(36)) + 6(98)

56 - 72 + 588

-16 + 588

572

Answer:

Absolute Minimum: (3,−29)

Step-by-step explanation:

Answer:

6 1/6

Step-by-step explanation:

A fraction that is equivalent to 3/8 is 6 1/6

Answer:

-5

Step-by-step explanation:

2 - 1 = 1

5 - 10 = -5

-5 divided by 1 = -5

Answer:

12,145

Step-by-step explanation:

If 347 cans is the max PER week, and they have 35 weeks, then all we need to do is multiply 347 times 35.

347*35 = 12,145

The max amount of cans they can collect in 35 weeks is 12,145 cans.

Answer: 12,145

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1 yard and 1 foot = 1 1/2

BRAINLIEST PLEASE

Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

Answer:

Mikhail is 50 old why because Gabrielle and they said the sum of their age is 58 so that mean Mikhail is older 58-8=50

Step-by-step explanation:

Answer:

5 1/6 ÷ 4 2/3 = 31/28

3 3/4 ÷ 1 2/8 = 3

4 2/4 ÷ 2 1/4 = 2

5 2/5 ÷ 1 4/5 = 3

4 2/8 ÷ 3 2/4 = 17/4

3 3/9 ÷ 2 4/12 = 10/7

7 1/2 ÷ 3 3/5 = 25/12

6 2/8 ÷ 3 1/3 = 15/8

Explanation:

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = (31/14) / (6/3) = (31/14) / 2 [when you divide by a certain number you multiply that number by the denominator] = 31/28

5 1/6 ÷ 4 2/3 = 31/6 ÷ 14/3 = 31/6 × 3/14

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

2, 6, 10, 14, 18

An arithmetic sequence has a constant difference and is defined as

[tex]\:a_n=a_1+\left(n-1\right)d[/tex]

compute the differences of all the adjacent terms

[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:14-10=4,\:\quad \:18-14=4[/tex]

The difference between all the adjacent terms is the same.

Thus,

[tex]d=4[/tex]

and

[tex]a_1=2[/tex]

Therefore, the nth term is computed by:

[tex]a_n=4\left(n-1\right)+2[/tex]

[tex]a_n=4n-2[/tex]

Thus, position to term rule of 2, 6, 10, 14, 18  multiply by __4___ and subtract by __2__.

slope = ( -2)

Y intercept = 10

Answer:

3 dollars 6 cents or 3.6

Step-by-step explanation:

you need to divide the 30 percent by the twelve dollars to get your answer

Answer:

(7,-6)

Step-by-step explanation:

The solution of the systems of equations is the point where the lines intersect. So just looking at the graph, you can see that the point (7,-6) is where the two lines intersect.

Hope this helps! :)

Answer:

Is this just spam?

Step-by-step explanation:

If you need help let me know.

Answer:

7

Step-by-step explanation:

-2 x 6 = -12

-6/1 ÷ -3/1 = 2

-12 - 2 = -14

-14 ÷ -2 = 7

Answer:

Step-by-step explanation:

From the scatter plot given in the attachment,

a). Line of best fit will pass through two points (0, 10) and (4, 0)

   Let the equation of the line is,

   y = mx + b

   m = slope of the line

   b = y-intercept

   Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{10-0}{0-4}[/tex]

   m = -2.5 inches per hour

   y-intercept = 10 inches

   Therefore, equation of the line will be, y = -2.5x + 10

b). Since, Nicolas started measuring the height of the ice sculpture at x = 0

    One hour before the start of the observations means x = (0 - 1) = -1

    From the given equation,

    y = -2.5(-1) + 10

       = 2.5 + 10

       = 12.5 inch