Need help with these two these were the ones some couldn't see.

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc

Anna11 [10]

Answer:

The final velocity v is 21.74 m/s.

Step-by-step explanation:

Given:

$\textrm{initial velocity} = u = 9\ m/s\\\textrm{acceleration} = a = 7\ m/s^{2}\\\textrm{distance} = s = 28\ m$

To find:

$\textrm{final velocity} = v = ?$

Solution:

As we know the third equation of motion is represented as

$v^{2} = u^{2} + 2\times a\times s\\$

Substituting the values u, a and s in the above equation we get

$v^{2} = 9^{2} + 2\times 7\times 28\\ =81 + 392\\=473\\$

$v =\±\sqrt{473} \\v =\sqrt{473} \ \textrm{as acceleration is positive v is also positive}\\v = 21.74\ m/s$

7 0

3 years ago

Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

3 years ago

42 is 21% of what number?

Margarita [4]

42 is 21% of 200. This is because 200*0.21 = 42.

8 0

3 years ago

Read 2 more answers

What is the solution to the linear equation 4b + 6 = 2 - b+ 4

inessss [21]

Final Answer: $b = 0$

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation $4b + 6 = 2 - b + 4$ ?

Step 1: Simplify $2 - b + 4$ to $6 - b$ .

$4b + 6 = 6 - b$

Step 2: Cancel $6$ on both sides.

$4b = -b$

Step 3: Subtract $-b$ from both sides.

$4b + b = 0$

Step 4: Simplify $4b + b$ to $5b$ .

$5b = 0$

Step 5: Divide both sides by $5$ .

$b = 0$

~I hope I helped you :)~

5 0

3 years ago

What is it called when a columns filled with pairs of numbers that have the same ratio?

Furkat [3]

That is a ratio table.

5 0

3 years ago

Read 2 more answers