Is 6 pints and 60 fluid ounces greater than, less than, or equal to? Explain.


Answer 1
Answer: If it doesn’t equal two one gallon it would be greater than. So it’s less than.

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A class has 30 people at the beginning of the school term but now has five pupils what is the percent of increase


17 percent increase 5/30

A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected


The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:
P(plain\ pencil\ and\ color\ pencil)=(5)/(10)*(3)/(10)=(3)/(20)
The answer is 3/20 or 0.15.

You flip a fair coin 10,000 times. Approximate the probability thatthe difference between the number of heads and the number of tails is at most 100.



E[X] = (np) (p+(1-p))^(n-1)

With n =10,000 and p=0.50 we get

E[X]= (10,000*0.50) (0.50+(1–0.50))^(10,000–1)

E[X] = 5,000(1)

So assuming the coin is fair (p=50%), then we can expect to get heads 5,000 times when the coin is tossed 10,000 times.

Step-by-step explanation:

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show this graphically.f(x) = e^x - 1
g(x) = In(x + 1)


Step-by-step explanation:

We need to show whether

f^(-1)(x) = g(x)


g^(-1)(x) = f(x)

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

f(x) = e^x - 1

we can also write it as:

y = e^x - 1

now all we have to do is to make x the subject of the equation.

y+1 = e^x

ln((y+1)) = x


now we'll interchange the variables


this is the inverse of f(x)


and it does equal to g(x)


Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

Brandon uses the steps below to solve the equation 15 x + 6 = 14 x + 5 using algebra tiles.Step 1 Add 14 negative x-tiles to both sides.
Step 2 Add 5 negative unit tiles to both sides
Step 3 The solution is x = 1.

Which explains whether Brandon is correct?
Brandon is correct because he has the correct solution in step 3.
Brandon is correct because he forms zero pairs to isolate the variable by using the lowest coefficient each time.
Brandon is not correct because he should have performed step 2 before performing step 1.
Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.


The correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.

What is the linear equation?

The linear equation is an equation where the highest degree of the variable used in the equation is 1.

For example 2x+5=25

Given the equation is 15x +6= 14x+ 5

In order to the linear equation first, try to keep the constant and the variable part to one side by adding or subtracting the constant term.

Then divide the coefficient of the variable (if the coefficient is not equal to 1) on both sides.

Here the given equation is 15x +6= 14x+ 5

Step-1: adding -14x on both sides

⇒15x +6 -14x= 14x+ 5 -14x

⇒x+ 6= 5

Step-2: adding -6 on both side

⇒x+ 6-6 = 5-6

Step-3: solution will be -1

⇒x= -1

Therefore the correct option is Option D: Brandon is not correct because he should add -6 on both sides to isolate the variable in step 2.

Learn more about linear equation




Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.

Step-by-step explanation:

edge 2020

A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one yewhat will he have to pay? (Round your answer to the nearest cent.)



Answer: 1902.36

Step-by-step explanation:

When interest is compounded monthly , the formula to find the accumulated amount is

A=P(1+(r)/(12))^(12t) , where P = principal value , r = rate of interest , t = time.

As per given,

r= 24% =  0.24

P= $1500

t= 1 year

Put all value in formula , we get

A= 1500(1+(0.24)/(12))^(12* 1)\n\n=1500(1+0.02)^(12)\n\n=1500(1.02)^(12)\n\n=1500(1.26824179456)\approx1902.36

Hence, he need to pay $1902.36.