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1 year ago

Simplify Each. Final answers should be either mixed numbers or improper in lowest terms.

Mathematics

1 answer:

nevsk [136]1 year ago

3 0

a. 7/ 8

b. 7/ 3

c. 50 / 24

d. 29/ 6

<h3>What is a fraction?</h3>

A fraction is a part of a whole. It is also known as the number is expressed as a quotient, with the numerator is divided by the denominator.

Simple fractions are made up of both are integers.

Complex fractions has a fraction in the numerator or denominator

Proper fractions, have the numerator less than the denominator.

a. 31/ 2÷ 4

7/ 2 ÷ 4

Take inverse of the second number and multiply

7/ 2 × 1/ 4

Multiply through

7/ 8

b. 3 2/ 3 ÷ 1 4/7

11/ 3 ÷ 11/ 7

Take inverse of the second number and multiply

11/ 3 × 7/ 11

Multiply through

7/ 3

c. 1/ 2 + 3/ 4 + 5/ 6

Find the LCM

12 + 18 + 20/ 24

We the have;

50 / 24

d. 11/ 2 - 2/ 3

Find the LCM

33 - 4/6

29/ 6

Thus, the answers are in improper fractions and can also be written in mixed fractions.

Learn more about fractions here:

brainly.com/question/1622425

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Simplify: -15x^9/10x^17

suter [353]

Answer:

-3\2x^8

Step-by-step explanation:

1. x^9/x^17 = 1/x^17-9

2. 3/2x^17-9

3. 3/2x^8

4 0

3 years ago

Please assist on these problems

mylen [45]

Answer:

a) linear. Cost per minute is a constant.

b) f(x) = 40 -0.15x

d) f(100) = 25. The remaining value is $25 after using 100 minutes.

Step-by-step explanation:

a) Since the cost per minute is a constant, the remaining dollar value of the phone decreases by the same amount for each minute used. The cost as a function of minutes used is a linear function with a constant rate of change.

b) The value starts at $40 and decreases by $0.15 for each increment of x (minutes used). The function can be written as ...

f(x) = 40 -0.15x

d) Put 100 where x is in the function definition and do the arithmetic.

f(100) = 40 -0.15×100 = 40 -15

f(100) = 25

According to the variable and function definitions, x=100 means 100 minutes have been used; f(x) = 25 means the remaining value of the phone is 25 dollars.

f(100) = 25 means the phone's remaining value is $25 when 100 minutes have been used.

5 0

3 years ago

F(x)=-2x² + 3x-6, find f (3)

Law Incorporation [45]

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]: f(3) = -2(3)² + 3(3) - 6
Exponents: f(3) = -2(9) + 3(3) - 6
Multiply: f(3) = -18 + 9 - 6
Add: f(3) = -9 - 6
Subtract: f(3) = -15

8 0

3 years ago

Read 2 more answers

To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.

aleksley [76]

Answer:

16.7%

Step-by-step explanation:

Please check below attachment for sample space table

Firstly, we have the total number of possible results as 12

From the 12, the probability of flipping a head is 6/12

Rolling either a 3 or a 5 is the sum of places we have both divided by the possible total of 12

we have this as ; 2/12 + 2/12 = 4/12

The term ‘AND’ means we have to multiply the two probabilities as follows;

4/12 * 1/2 = 1/6 = 0.1667

To the nearest tenth, we have this as 16.67% which is 16.7%

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4 years ago

If line T is a transversal of lines I and m, name the angel relationship of the given angle pairs

kolbaska11 [484]

Answer:

a. corresponding angles (congruent)

b. alternate exterior angles (congruent)

c. same-side interior angles (supplementary)

Step-by-step explanation:

The vocabulary associated with angles created by a transversal and parallel lines is not so difficult.

If angles are on the same side of the transversal, they are same-side angles. If not, they are alternate angles.

If angles are between the parallel lines, they are interior angles. If not, they are exterior angles.

If the angles are in the same direction from the point of intersection of the transversal with the parallel line, they are corresponding. Corresponding angles are same-side; one is interior and the other is exterior.

These names generally apply to angles with different vertices.

a. Both angles are northwest of the intersection point; they are same-side, and one is interior and one is exterior. They are corresponding angles. (congruent)

b. The angles are on opposite sides of the transversal and are outside the parallel lines. They are alternate exterior angles. (congruent)

c. The angles are on the same side of the transversal, and both are between the parallel lines. The are same-side interior angles. (supplementary)

3 0

3 years ago