Simplify. 3 4 −4z+ 5 4 z− 1 2 + 1 2 z

Viktor [21]

Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

3 0

3 years ago

Use the simple interest formula to find the ending balance 5000 at 5% for 3.5 years

Evgesh-ka [11]

Answer:

Given: Principal(P) = $ 5000 , T = 3.5 years and R = 5%.

Using the formula of Simple Interest (I) given by;

$I = \frac{P\times R \times T}{100}$ .......[1] , where P is the Principal amount of money to be invested, R be the rate of interest and T be the time.

Substitute the given values of P , R and T in [1] we have;

$I = \frac{P \times R \times T}{100} = \frac{5000\times 5 \times 3.5}{100}$

$I = 50 \times 5 \times 3.5 = 250 \times 3.5$

Simplify:

$I = \$ 175$

An Ending balance is calculated by subtracting cash outflows, interest paid for financing and principal paid on financing.

Ending Balance = $ 5000 + $ 175 = $ 5,175.

Therefore, the ending balance is $ 5,175

3 0

4 years ago

18. The Sahara Desert is the largest desert in the world. It covers 3,500,000 square miles. The Australian Desert is the second

ruslelena [56]

Solution:
3,500,000 - 2,030,000 = 1,470,000 square miles
Explanation:
Let's fully understand what this word problem is saying. Break it down.
The Sahara Desert is the largest desert in the world.
The Australian Desert is the second largest desert.
This means that the Australian Desert has an area that is less than the Sahara desert.
We are given the size of the Sahara, which is 3,500,000 square miles, but not the size of the Australian desert.The area of the Australian desert is less by 2,030,000 square miles.This is the amount we have to subtract from the area of the Sahara to find the size of the Australian desert:
3,500,000-2,030,000= 1,470,000 square miles. Hope this helps!

6 0

3 years ago

Neil's Ice Creamery sold 50 sundaes last week. There were nuts on 22 of the sundaes. What is the ratio of the number of sundaes

Mkey [24]

The ratio of the number of sundaes with nuts to the number of sundaes without nuts is 11/14

What is ratio?

Ratio is a quantitative relationship between two values indicating the number of times one value contains within the other value

In other words, we are expressing the number of sundaes with nuts as a fraction of the ones without nuts

There are 22 sundaes with nuts

number of sundaes without nuts=50-22

number of sundaes without nuts=28

sundaes with nuts/sundaes without nuts=22/28

2 is common to both numbers

sundaes with nuts/sundaes without nuts=11/14

Find out more about ratio on:brainly.com/question/2328454

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3 0

2 years ago

Irrational conjugate theorem

podryga [215]

Answer:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

Step-by-step explanation:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)

7 0

3 years ago