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3 years ago

Explain how you can tell that 31/33 is in simplest form

Mathematics

2 answers:

Deffense [45]3 years ago

5 0

You cannot half 31 nor 33 anymore so it's in its simplest form. It can no longer divide to make it a lower number.

Varvara68 [4.7K]3 years ago

3 0

31/33 is in simplest form because both 31 and 33 do not have a common factor that be used to simplify.

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What is the product of the common prime factors of 32 and 24

g100num [7]

Answer:

Step-by-step explanation:

24 = 2 * 2 * 2* 3

32 = 2 * 2 * 2 * 2* 2

The common factors are 2 * 2 * 2 = 8

7 0

2 years ago

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find th

Aneli [31]

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1: the total cost of a CD player would be 104.76

2: Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3: Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

7 0

3 years ago

Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....

MA_775_DIABLO [31]

Answer:

$a_n=112\left(-\frac{1}{4}\right)^{n-1}$

Step-by-step explanation:

<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

$\displaystyle r=\frac{-28}{112}=-\frac{1}{4}$

Testing with the third term:

$\displaystyle -28*-\frac{1}{4}=7$

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

$a_n=a_1*r^{n-1}$

$a_n=112\left(-\frac{1}{4}\right)^{n-1}$

6 0

2 years ago

A bank loaned out $19,500, part of it at the rate of 11% annual interest, and the rest at 7% annual interest. The total interest

Morgarella [4.7K]

The amount loaned at the interest rate of 11% is $3000.

The amount loaned at the interest rate of 7% is $16,500

<h3>What are the linear equations that represent the question?
a + b = 19500 equation 1</h3>

0.11a + 0.07b = 1485 equation 2

Where:

a = amount loaned at the interest rate of 11%

b = = amount loaned at the interest rate of 7%

<h3>How much was loaned at 11% and 7%</h3>

In order to determine how much was loaned at 7%, take the following steps:

Multiply equation 1 by 0.11:

.11a + 0.11b = 2145 equation 3

Subtract equation 2 from equation 3:

0.04b = 660

Divide both sides by 0.04:

b = 16,500

Subtract 16,500 from 19,500 :

19,500 - 16,500 = $3000

To learn more about interest, please check: brainly.com/question/26164549

#SPJ1

7 0

2 years ago

Henry earned $558.40 for working 32 hours. What is Henry's hourly

arsen [322]

Answer:

18.64 is the answer

4 0

3 years ago