Which table shows the correct methods used to justify the solution steps?

Solve A= Iw for I.<br><br><br> I need help please

andreyandreev [35.5K]

Answer:

After solving the given formula for l, we get

l = A/w

Step-by-step explanation:

Given formula is:

A = lw

The given formula is the formula for area of a rectangle.

Solving for a particular variable means that the variable has to be isolated on one side of the equation.

In order to solve,

Dividing both sides by w

$\frac{A}{w} = \frac{lw}{w}\\l = \frac{A}{w}$

Hence,

After solving the given formula for l, we get

l = A/w

6 0

3 years ago

Please help with the steps

WARRIOR [948]

Answer:

2821.51

73425.64

28124.24

4124.24

Step-by-step explanation:

Effective rate: .058/2 = .029

This question is kind of ambigous and I'll make the assumption that there is no payment at time 0

$175000=x\frac{(1+.029)^{2*18}-1}{.029}\\x=2821.511$

interested earned:

175000-2821.51*36= 73425.64

2.)

Same assumption as question 1 (there is no payment at time 0)

effective rate: .063/12= .00525

$400(\frac{(1+.00525)^{60}-1}{.00525})=28124.24$

Interest earned: 28124-400*60=4124.24

5 0

3 years ago

Read 2 more answers

The average person in the United States is about 90 gallons of water per day this includes washing clothes and dishes cleaning a

aalyn [17]

Answer:

To get the value of the outdoor water:

The average gallon water multiply by the percentage of the out door that is

90 x 0.3= 27 gallon water

Step-by-step explanation:

5 0

4 years ago

Suppose we purchase a larger bag of Skittles. Assume that this size bag always has 100 candies. In this particular bag 30 are gr

Mademuasel [1]

Answer:

Yes, this is surprising. Random samples with this much error are unusual.

Step-by-step explanation:

The expected proportion of green candies in the bag is p=0.20.

We have a sample with proportion p=0.3.

The amount of candies in the bag are 100.

We can calculate the probabilities of having 30 candies out of a sample of size n=100, if the proportion of the population is p=0.2.

This can be modeled by a binomial distribution with these parameters:

$\mu=np=100*0.2=20\\\\\sigma=\sqrt{npq}=\sqrt{100*0.2*0.8}=\sqrt{16}=4$

Then, the probability of having 30 or more candy in the bag is (applying the continuity factor):

$z=(X-\mu)/\sigma=(29.5-20)/4=9.5/4=2.375\\\\\\P(X>30)=P(z>2.375)=0.00877\approx 0.01$

There is too little probability (1%) of having 30 green candies in the bag.

8 0

3 years ago

Use the Pythagorean theorem to find the number that will replace the ? mark,

julia-pushkina [17]

Answer:

43

Step-by-step explanation:

The sides of the squares make up the sides of the triangle.

To find the measure of a side of the square, take the area given and square root it, since the area of a square is equal to the length of its side squared.

For the 9cm^2 area, the square root of 9 is 3, so each side is 3 cm.

For the 34 cm^2 area, the square root of 34 is about 5.83, so each side is about 5.83 cm.

Plug these into the Pythagorean theorem ( $a^2+b^2=c^2$ ) for a and b.

You get $9+34=c^2$ .

Solve for c by square rooting both sides to get about 6.56.

Since it's asking for the area, square 6.56 to get 43.

An easier way to do this would be to recognize that $a^2$ , $b^2$ , and $c^2$ are all equal to the area of their respective squares, since the area of a square is equal to its side squared, and the Pythagorean theorem is also squaring the sides.

Using this information, a^2 is 9, b^2 is 34.

Once you add them up, you get c^2, and you know that c^2 is the area of the square the question is asking for.

Therefore, c^2 is equal to 9 + 34, or 43.

4 0

4 years ago