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Pavel [41]
3 years ago
14

Your checking account is in debt at $20. You use this account to make a $10 purchase. Then, you deposit $38 into the account. Wh

at is the balance of the checking account?
Mathematics
1 answer:
kondaur [170]3 years ago
4 0

Answer:

$8

Step-by-step explanation:

In debt at $20 (like an overdraft) = -20

To make a $10 purchase = -10 on the account

Total debt = -20 + (-10)

                 = -30

You deposit $38 (this is what you added to your account.) = +38

Balance of the checking = -30 + (+38)

                                         = $8

I really hope this helps. If I am right, please thank, rate 5 stars, and give brainliest. Thank you.

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Clara has less than $75. She wants to buy 3 pairs of shoes. What price shoes can Clara afford if all the shoes are the same pric
12345 [234]

Answer:$25

Step-by-step explanation:

Take 75 and divide it by 3 to get 25 dollars.

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3 years ago
Read 2 more answers
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34
VikaD [51]

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

                                  c is the hypotenuse side of the triangle

                                  a and b are the legs of the triangle.    

 Find the hypotenuse :   c^2 = (24)^2 + (34)^2

                                          c = square root of (  (24)^2 + (34)^2)

                                          c = square root of ( 576 + 1,156)

                                          c = 41.6173

5 0
3 years ago
Evaluate f(x) = -x to the second power + 1 for x = -3
professor190 [17]
I think it's 4 Yeah 4 something like that
5 0
3 years ago
A projectile is fired with an initial velocity of 550 feet per second at an angle of 70 degrees with the horizontal. In how many
sukhopar [10]

Answer:

time = 32.1 seconds.

Step-by-step explanation:

Remark.

The very first thing about this question that you must understand is that only the vertical part of the 550 feet per second matters.

That's the part of the velocity that works against gravity. The object of this question is this: how long does it take for the rocket to get from 550 feet per second to 0 when the rocket will stop and begin to fall back to earth?

t = 32.1 seconds is the answer.

Step One

Find the vertical velocity.

The formula for the vertical speed is V_vertical = 550 * Sin(70)

Vv = 516.8 feet per second. That is just a formula for finding the vertical velocity.

Step Two

What is the acceleration for this question?

You have no doubt heard the expression "What goes up much come down."

It is certainly true on planet earth. The force of gravity <em><u>always</u></em> acts downwards. The rocket's velocity is acting upwards. That's why the rocket goes up in the first place. The measurement for acceleration is 32.2 feet / second^2 and it is downwards.

The meaning of that number is that for every second that an object is moving up, it loses a velocity amount of 32 feet/sec. So the rocket is slowing down.

Step Three

Write your givens and what you need.

t = ??

vi = 516.8 feet / sec

a = - 32.2 feet / sec ^2

vf = 0

Step Four

What is the formula

a = (vf - vi)/t  or in this case

t = (vf - vi/a

Step Five

Solve using the givens.

t = (0 - (+)516.8)/-32.2

t = (0 - 516.8)/-32.2

t = - 516.8 / - 32.2

t = 16.05 seconds

Step Six

That is the time taken to go to the maximum height. Physics says that it will take the same amount of time to come down. The total time in the are = 2 * 16.05 = 32.1 seconds

So your answer is 32.1 seconds.

Note

There is absolutely no other way to do this problem. You should never have been given it without some sort of background in physics. All of the facts I have used have to be verified by experiment. These are

1. Only the vertical velocity matters. It is found by Vv = V* sin(70)

2. The acceleration due to gravity acts down.

3. The value of the acceleration = 32.2 feet/sec^2

4. The time take to complete 1/2 the journey (up to where the rocket stops) is 16.05 seconds.

5. The total time is double the going up time.

Note Two

You might be able to do this by means of energy, but that also involves physics and the time would have to be determined using this approach anyway.

I pass this along to see if anyone can do it using non-physics methods. If they can, I'll tip my hat in their direction.

5 0
3 years ago
Two angles are supplementary. The larger angle is
UkoKoshka [18]

Answer:

x = 165, y = 15

Step-by-step explanation:

1. Well, what does supplementary mean? - The angles add up to 180°.

2. Let's form an equation: x + y = 180°

3. Let's say x is the larger angle and y is the smaller angle.

4. Let's form another equation: x = 150 + y

5. Put the two equations next to each other:

x + y = 180

x = 150 + y

6. We know what x is equaled to, so let's plug it into the first equation!

150 + y + y = 180

150 + 2y = 180

-150           -150

2y = 30

y = 15

7. Now, we know what y is, let's find x!

x + 15 = 180

   -15     -15

x = 165

4 0
2 years ago
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