The figure is missing. There are several problems with same wording but different numbers
Here, we can use:
- Horizontal distance: 258 feet
Answer:
- Slope = 56.0 ft / 258 ft ≈ 0.217
Explanation:
The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.
There are several forms to express this with words, which represent the same formula. Here are some of them:
- Slope = rise / run
- Slope = vertical change / horizontal change
- Slope = change in y / change in x
- Slope = Δy / Δx
- Slope = (y₂ - y₁) / (x₂ - x₁)
As said, all those forms mean the same; they are equivalent.
Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:
- Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217
A) Tonya bought 3 games at X price, so 3X would be total amount.
B) Tony's cost was 0.50 less than X, so x-0.50, he bought 4 games, so he spent 4(x-0.50).
C) Set those to equal to solve for x:
3x = 4(x-0.50)
D) Solve:
3x = 4(x-0.50)
Distribute:
3x = 4x - 2
Subtract 4x from both sides:
-X = -2
Multiply both sides by -1:
X = 2
E) Since X is the amount Tonya paid per game, Tony paid X - 0.50, so Tony paid 2 - 0.50 = $1.50 per game.
Check:
Tonya: 3x = 3(2) = $6 total
Tony: 4(x-0.50) = 4(2.00 - 0.50) = 4(1.50) = $6 total
I think the answer would be 1,000
10x10= 100 (power of 2)
10x10x10= 1,000 (power of 3)
Hopefully this helps :) You can ask any questions if you don’t understand
She needs 15 cans of varnish
Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.
