Answer:
slope = 3
Step-by-step explanation:
The slope of a line parallel to the given equation share the same slope. Note the slope intercept formula:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Subtract 3x from both sides:
3x (-3x) - y = 1 (-3x)
-y = -3x + 1
Next, divide -1 from both sides:
(-y)/-1 = (-3x + 1)/-1
y = 3x - 1
You are solving for the slope of a line parallel to the given equation. Since you are solving for parallel, the slope would be shared.
3 would be the slope of the line.
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9 1/3 days
Step-by-step explanation:
- If the total change in the size of the pencil is -7/9 millimeters. Then the actual change itself is 7/9 which is a positive value.
- If each day the pencil changes by 1/12 millimeters, how many 1/12 millimeters are there in 7/9 millimeters. This is a division query;
7/9 ÷ 1/12 = 7/9 * 12/1 = 28/3
= 9 & 1/3 days
Learn More:
For more on fractions check out;
brainly.com/question/1878884
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Since the price of the cantaloupes is unknown, it will have to represented by a variable. Let's use x.
If Jackson starts with $25 and buys 5 cantaloupes of an unknown price, this subtracts 5 times the amount of 1 cantaloupe (which is x) from that $25.
This is shown as 25 - 5x.
After spending that money, he has $2.50 left over.
This means 25 - 5x = 2.50.
Now you just need to solve this by first isolating the variable.
First, subtract 25 from both sides.
25 - 5x - 25 = -5x
2.50 - 25 = -22.5
Then, divide both sides by -5. It's -5 since 5 is the coefficient and it's negative, so -5.
-5x / -5 = x
-22.5 / -5 = 4.5
This means x = 4.5.
And if x is 4.5, then that means the cost of 1 cantaloupe is $4.50.
Use similar triangles (see the picture I drew at the bottom)
