Add or subtract the following mixed fractions. all answers must be in simplest form. show all work 7 2/5 - 6 1/5 =

Answers

Answer 1

Answer: 7 2/5 - 6 1/5
first subtract the fractions, since the denominators are the same.
2/5 - 1/5 = 1/5
Then subtract the whole numbers.
7- 6 = 1
So your answer is 1 1/5
Hope this helps! :)

Answer 2

Answer: The answer is: 1 ⅕ .
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7 ⅖ − 6 ⅕ = 1 ⅕ .
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Find the area of the polygon with vertices A(0,5), B(0,2), C(-3,2), and D(-3,5)?
1.What is the correct reason for statement 2?Prove: 2(w + 6) + 4 = 2w + 16 Statements Reasons 1. 2(w + 6) + 4 1. Given 2. (2w + 12) + 4 2. ? 3. 2w + (12 + 4) 3. Associative Property 4. 2w + 16 4. Addition 2.What is the correct reason for statement 2? Prove: 4 + 3x + (x ∙ 2) = 5x + 4 Statements Reasons 1. 4 + 3x + (x ∙ 2) 1. Given 2. 4 + 3x + 2x 2. ? 3. 4 + 5x 3. Addition 4. 5x + 4 4. Commutative Property 3.What is the correct reason for statement 3? Prove: (11m) ∙ 4 + m = 45m Statements Reasons 1. (11m) ∙ 4 + m 1. Given 2. 4 ∙ (11m) + m 2. Commutative Property 3. (4 ∙ 11) ∙ m + m 3. ? 4. 44m + m 4. Commutative Property 5. 45m 5. Addition 4.What is the correct reason for statement 5? Prove: k + 4 + 6(1 + k) = 11k + 10 Statements Reasons 1. k + 4 + 6(1 + k) 1. Given 2. k + 4 + (6+ 6k) 2. Distributive Property 3. k + (4 + 6) + 6k 3. Associative Property 4. k + 10 + 6k 4. Addition 5. k + 6k + 10 5. ? 6. 7k + 10 6. Addition 5.Select the correct reasons for statements 1 and 3 to complete the proof. Prove: 3x + 2 • x • 11 = 25x. 1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ? 2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication 3. 3x + 2 • x • 11 = 25x 3. ?
144 is the _ power of 12
Your new job guarantees you an eight percent raise for each year with the company. If your initial salary is $42,200, write an equation to model your salary after t years
A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use? A. 0.6 x 2 B. 1.6 x 2 C. 0.4 x 2 D. 1.4 x 2

When adding and subtracting fractions

Answers

Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers. Rewrite thefractions as equivalent fractions with the LCM as the denominator.

If g(x)=x squared+2 find g(3)

Answers

Answer:

Step-by-step explanation:

x^2+2

(3)^2+2

9+2=11

Identify the turning point of the function f(x)=x^2-2x+8 by writing its equation in vertex form.Show work

Answers

$f(x)=x^2-2x+8 \n \n To \ convert \ the \ standard \ form \ y = ax^2 + bx + c \n \n of \ a \ function \ into \ vertex \ form \n \n y = a(x - h)^2 + k \n \n Here \ the \ point \ (h, k) \ is \ called \ as \ vertex \n \n h=(-b)/(2a) , \ \ \ \ k= c - (b^2)/(4a)\n \n a=1 ,\ b=-2 , \ c = 8$

$h=(-b)/(2a)=(-(-2))/(2 )=(2)/(2)=1 \n\n k=c - (b^2)/(4a) =8 - ( (-2)^2)/(4 ) = 8-1 = 7 \n \n y= (x-1)^2 + 7 \n \n So \ the \ turning \ point \ is \ (1,7)$

If your annual salary is $68,900, how much would be your salary in 3 years?. Write anEquation and solve the problem

Answers

Answer:

206,700

Step-by-step explanation:

We know that the starting salary is $68,900. And we need to figure out the salary during a 3 years period. so we take the one year salary (68,900) and multiply that by 3, for the 3 years. (3 × 68,900) which equally 206,700 dollars.

How far is the star away from the earth in AU?

Answers

Final answer:

The average distance between a star and Earth is typically measured in astronomical units (AU), which is the average distance between Earth and the Sun. To calculate the distance in AU, divide the star's distance in kilometers or miles by the average distance between Earth and the Sun.

Explanation:

The average distance from the Earth to a star is typically measured in astronomical units (AU). An astronomical unit is defined as the average distance between the Earth and the Sun, which is about 149.6 million kilometers or 93 million miles.

To calculate the distance to a star in AU, you need to determine the star's distance in kilometers or miles and then convert it to AU. For example, if a star is 900 million kilometers away, you divide that distance by the average distance between the Earth and the Sun to get the distance in AU. In this case, the star would be approximately 6 AU away from Earth.

It's important to note that the distances between stars and Earth are incredibly vast, so even a distance of a few AU is still very far.

Learn more about Distance between stars and Earth here:

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Solve for x.
-3x + 4 = -8

Answers

-3x+4=-8

Subtract 4 from -8
then your left with -3x=-12
Divide -12 by -3
x=4

the answer would be x=-7

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