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nasty-shy [4]
2 years ago
5

An exam consists of 4 true/false questions and 6 multiple-choice questions with a, b, c, d, and e as

Mathematics
1 answer:
Ivahew [28]2 years ago
5 0

Answer:

Step-by-step explanation:

To answer this problem, you break the answer into two parts, one part for the true/false section and another part for the multiple-choice section.

True/False

There are 2 ways to answer each of the 4 true/false questions, T or F.

The number of ways to answer the trur/false section is 2\times2\times2\times2=2^4=16.

Multiple-Choice

There are 5 ways to answer each question so the number of ways to answer this section is

5\times5\times5\times5\times5=5^6=15625

You can answer the T/F section in 16 ways and the M/C section in 15625 ways, so the entire exam can be answered in

16\times15625=250000 ways!

It's mind-boggling that only 1 of those ways gets a score of 100%!

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Please need help on this
jenyasd209 [6]

Answer: do you need help with 1 and 2?

Step-by-step explanation:

3 0
3 years ago
The sum of two numbers is 30 and their difference is 6
Studentka2010 [4]

I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where a and b are the two numbers):

a + b = 30

a - b = 6


We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:

2a = 36

a = 18


To find b, substitute the value for a into one of the earlier equations:

18 + b = 30

b = 12


The two numbers are 12 and 18.

4 0
2 years ago
You split $1500 between two savings accounts one pays 4%interest and the other pays 5% after one year you have earned $69.50 in
ANTONII [103]

Answer:

Step-by-step explanation:

Use the basic simple interest formula:

P * r * t = I and put the info into a table with those variables along the top, formig the columns we need:

                   P       *       r       *       t      =       I

Acct 1

Acct 2

If we have a total of 1500 to split up between 2 accounts, we put x amount of money into one and then have 1500-x left to put into the other.  We will fill those in along with the interest rates in decimal form and the time of 1 year:

                   P        *        r        *        t        =        I

Acct 1           x               .04                1

Acct 2     1500-x          .05                 1

Looking at the formula we are told that Prt = I, so we will multiply P times r times t and fill in the I column:

                  P        *        r        *        t        -        I

Acct 1         x                 .04              1               .04x

Acct 2    1500-x           .05               1          .05(1500-x)

The total Interest earned by the addition of the interest earned from both accounts is 69.50.  So we add the interest column together and set it equal to 69.50:

.04x + .05(1500 - x) = 69.50 and

.04x + 75 - .05x = 69.50 and

-.01x = -5.5 so

x = 550

That's how much money is in the account earning 4% interest.

7 0
2 years ago
Please help me with 1,2,3,4,5 and show me the steps and the answers do not send me link please
lina2011 [118]

Answer:

I did the first one on paper

Step-by-step explanation:

i also sent one page of my personal notes on right triangle Pythagoerean thereom I hope this helps

4 0
2 years ago
What is 3 and 3/4 as a decimal
Simora [160]
It should be 3.75 think of it as a dollar 3/4 of a dollar is .75
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3 years ago
Read 2 more answers
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