Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

Mathematics

2 answers:

mixas84 [53]3 years ago

7 0

Answer by JKismyhusbandbae: 26d - 24

How to get Answer: $\mathrm{Expand}\:2\left(d-6\right):\quad 2d-12\\=2d-12-4\left(-6d+3\right)\\\mathrm{Expand}\:-4\left(-6d+3\right):\quad 24d-12\\=2d-12+24d-12\\\mathrm{Simplify}\:2d-12+24d-12:\quad 26d-24\\=26d-24$

Explanation: Use the distributive property to remove both sets of parentheses. Then combine like terms (terms involving the variable d and constant terms) to simplify the expression.

Andru [333]3 years ago

4 0

I'm assuming you want us to simplify this

remember the distributive property

a(b+c)=ab+ac

2(d-6)-4(-6d+3)

2(d-6)=2(d)+2(-6)=2d-12

-4(-6d+3)=(-4)(-6d)+(-4)(3)=24d-12

2(d-6)-4(-6d+3)=2d-12+24d-12=26d-24

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4 people went to the movies. Each person spent $9.50 on a ticket and had the same amount of money leftover. They originally had

solong [7]

$2.50 was left for each person.

4(9.50) + x = 48

38 + x = 48

subtract 38 on both sides

x = 10

10$ was left in total by all 4 people

10/4 = 2.50

$2.50 was left over for each person

7 0

3 years ago

What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?

Oxana [17]

Answer:

$\displaystyle d = 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (21, 13)

Point (3, 13)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3-21)^2+(13-13)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-18)^2+(0)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{324+0}$
[√Radical] Add: $\displaystyle d = \sqrt{324}$
[√Radical] Evaluate: $\displaystyle d = 18$