Ahmad drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8
hours. When Ahmad drove home, there was no traffic and the trip only took
5
hours. If his average rate was
21
miles per hour faster on the trip home, how far away does Ahmad live from the mountains?
Do not do any rounding.

Answers

Answer 1
Answer: 55 miles from the mountains

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Solve each equation by factoring out the greatest common factor: 3n²+3n=0

Answers

3n (n+1) = 0 

3n = 0 or n+1 = 0
therefore, n =0, or n= -1


A.How much flour is used with 6 eggs? B.How many eggs are used with 15 cups of flour?

Answers

Final answer:

Without a ratio, we cannot answer these questions. However, if we had a ratio such as 2 cups flour to 3 eggs, we could use cross-multiplication to find the amount of flour needed for 6 eggs (12 cups) and the amount of eggs needed for 15 cups of flour (45 eggs).

Explanation:

To answer these questions, we need a ratio between flour and eggs. However, without this ratio, it's impossible to answer questions a and b correctly. Usually in cooking, the amounts of ingredients used can vary depending on the recipe.

  1. Multiply the amount of flour (2 cups) by number of eggs (6 eggs) to find the total amount of flour needed. 2x6=12, so you would need 12 cups of flour.
  2. Multiply the amount of eggs (3 eggs) by amount of flour (15 cups) to find the total number of eggs needed. 3x15=45, so you would need 45 eggs.

Learn more about Ratios here:

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10 cups of flour for 6 eggs and 9 eggs for 15 cups of flour

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3. 3x - y - 7 = 0
x - 3y + 7 = 0
x - 3y - 7 = 0

Answers

Hello,

y+2=1/3*(x-1) ==>3y+6=x-1==>x-3y-7=0

Answer C

IF YOU GET THIS ALL RIGHT ILL GIVE AWAY 99 POINTS!!!!!Problem 1: Solve the equation

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13

Problem 2: Simplify the expression

2(a -3) + 4b - 2(a -b -3) + 5

Problem 3: If x <2, simplify

|x - 2| - 4|-6|

Problem 4: Find the distance between the points (-4 , -5) and (-1 , -1).

Problem 5: Find the x intercept of the graph of the equation .

2x - 4y = 9

Problem 6: Evaluate f(2) - f(1)

f(x) = 6x + 1

Problem 7: Find the slope of the line passing through the points (-1, -1) and (2 , 2).

Problem 8: Find the slope of the line

5x - 5y = 7

Problem 9: Find the equation of the line that passes through the points (-1 , -1) and (-1 , 2).

Problem 10: Solve the equation

|-2x + 2| -3 = -3

Answers

Simplifying -2x + -4y = 9 Solving -2x + -4y = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -2x + -4y + 4y = 9 + 4y Combine like terms: -4y + 4y = 0 -2x + 0 = 9 + 4y -2x = 9 + 4y Divide each side by '-2'. x = -4.5 + -2y Simplifying x = -4.5 + -2y13/18

169
-11

5x - 5y = 7


Simplifying -2x + -4y = 9 Solving -2x + -4y = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. -2x + -4y + 4y = 9 + 4y Combine like terms: -4y + 4y = 0 -2x + 0 = 9 + 4y -2x = 9 + 4y Divide each side by '-2'. x = -4.5 + -2y Simplifying x = -4.5 + -2y13/18


169

-11


5x - 5y = 7



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What is an explicit equation?

Answers

An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.

Hope this made sense.

X and y intercepts of -3x+4y=-36

Answers

X intercept is 12
Y intercept is 9.
To find answer just cover up the one you don't want.
For x it would be -3x=-36
For y it would be 4y=-36