how would you write this word problem as an equation? When the gas gauge on her car was on the 3/8 mark, Karen pumped 15 gal. of gas into the tank in order to fill it. How many gal. of gas does the tank in Karen's car hold?

Answers

Answer 1
Answer: If the tank was 3/8 full, then it was 5/8 empty.
It took 15 gallons to fill those empty 5/8 of a tank.

5/8 x (1 tank) = 15 gallons

1 tank = 15 / (5/8) = 15 x 8/5 =24 gallons

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What is the common denominator of 3/8, 3/9, 3/10.

Answers


I think the common denominator is 90. 8,9,and 10 can all go into 90.

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?

Answers

The answer is 7/50.

To calculate this, a multiplication rule and an addition rule are used.

There are in total 20 marbles:

3 green + 4 yellow + 5 blue + 8 pink = 20 marbles.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. We have two events from multiple pathways:


1. The probability that Jerome will get a green marble on the first draw is 3/20:

Of all 20 marbles, 3 of them are green. The probability that Jerome will get a green marble is 3/20.


2. The probability that Jerome will get a yellow marble on the first draw is 4/20:

Of all 20 marbles, 4 of them are yellow. The probability that Jerome will get a green marble is 4/20.


- Using the addition rule, the probability that Jerome will get a green or yellow marble on the first draw is 7/20:

3/20 + 4/20 = 7/20




The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:


1. The probability that Jerome will get a green or yellow marble on the first draw is 7/20.

2. The probability that Jerome will get a pink on the second draw is 8/20:

Of all 20 marbles, 8 of them are pink. The probability that Jerome will get a pink marble is 8/20.


- Using the multiplication rule, the probability that Jerome will get a green

or yellow marble on the first draw and a pink on the second draw is 7/50:
7/20 × 8/20 = 56/400 = 7/50

Answer:

he is correct

Step-by-step explanation:

sunil obtained 750 marks out of 800 and preeti obtained 540 marks out of 600. whose performance is better

Answers

Answer:

Step-by-step explanation:

the expression 16t^2 models the distance in feet that an object falls during t seconds after being dropped. what distance will an object fall in 4 seconds?

Answers

The distance an object falls in 4 seconds is 256 feet.

Given,

The expression 16t² models the distance in feet that an object falls during t seconds after being dropped.

We need to find out what distance will an object fall in 4 seconds.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 1

x = 1

f(1) = 1 + 1 = 2

Input = 1

Output = 2

Find the expression that describes the distance at t seconds.

= 16t²

Find the distance at t = 4.

We have,

= 16t²

= 16 x 4²

= 16 x 16

= 256

Thus the distance an object fall in 4 seconds is 256 feet.

Learn more about finding distance at 2 seconds from a given expression here:

brainly.com/question/11260574

#SPJ2

1. it fell in 2 seconds so plug the "t" with 2

2. 16*4²  ⇒   4² = 16

3. 16*16 = 256

How do u multiply x^2-4 over x^2-1 times x+1 over x^2+2x

Answers

(x ^ 2-4 )/(x ^ 2-1)*( x + 1 )/(x ^ 2 +2 x)=(x ^ 2-2^2 )/(x ^ 2-1)*( x + 1 )/(x(x +2 )) =\n \n \n =((x -2)\not(x+2)^1 )/((x -1)\not(x+1)^1)*( \not(x + 1)^1 )/(x\not(x +2)^1 )= ( x-2 )/(x(x-1)) \n \n \n \na^2-b^2 =(a-b)(a+b)


(X2-4)/(x2-1).  *  (x+1)/(x2+2x)
[(x-2)(x+2)]/[(x-1)(x+1)]. * (x+1)[x(x+2)]
(x-2)/(x-1) * 1/x
(x-2)/(x2-x)

Mr. Powell brought home $324.16 in net pay last week. His gross pay was $594.00. His net pay is what percent of his gross pay? 60%
55%
183%
18%

Answers

His net pay as a percent of his gross pay is 324.16/594.00 x 100 = 55%

Mr. Powell brought home $324.16 in net pay last week. His gross pay was $594.00. Then

$594 -- 100%,

$324.16 -- x%,

or mathematically it sounds as proportion:

(\$594)/(\$324.16)=(100\%)/(x\%).

Find x:

x\%=(\$324.16\cdot 100\%)/(\$594)\approx 55\%

Answer: correct choice is B