Answer:
The distance of the run is 10 miles
The distance of the bicycle race is 69 miles
Step-by-step explanation:
Let:
- r = the distance for the run
- 79 - r = the distance for the bicycle race
- t = the time of the run
- 5 - t = the time of the bicycle race
The run: r = 5t
The bicycle race: 79 - r = 23(5 - t)
Simplify the bicycle race:
- 79 - r = 115 - 23t
- -r = 36 - 23t
- r = 23t - 36
Now we have two equations set up for r
We know that r = r, so 5t must equal 23t - 36
- 5t = 23t - 36
- 5t + 36 = 23t
- 36 = 18t
- t = 2
Now we know that the run took 2 hours.
Plug it back into the equation for the run to find the distance for the run
The run is 10 miles
To solve for the bicycle race, we simply subtract 10 from 79, because we know that the two distances combined are 79.
The bicycle race is 69 miles.
-Chetan K
<h3>The solutions are:</h3>
<em><u>Solution:</u></em>
<em><u>Given that,</u></em>
From eqn 2,
3x - y = 1
y = 3x - 1
<em><u>Substitute the above in eqn 1</u></em>
<h3>When, x = 0 </h3>
Substitute x = 0 in eqn 2
3(0) - y = 1
y = -1
<h3>When x = 1/3</h3>
Substitute x = 1/3 in eqn 2
Thus solutions are:
I'm sorry I'm not home so I can't tell you the answer to this but what I can tell you is put together the xy and then put together the -13-20. Hope this helps.
Answer:
292.32
Step-by-step explanation:
16% = 0.16
348 × 0.16 = 55.68
348 - 55.68 = 292.32
Answer:
It's easy
Step-by-step explanation:
Use the order of operations in reverse to isolate the variable on one side of the equation. The order of operations is PEMDAS -- parentheses, exponents, multiplication, division, addition and subtraction. When solving for a variable, use the order in reverse -- SADMEP.
Perform the opposite operation to what is called for in the equation. If the equation requires you to multiply, you will divide. If the equation calls for subtraction, you will add.
Repeat the same operation on both sides of the equation. In the area of the triangle example, you arrived at the formula 100=1/2 (20h). You want to get the “h” by itself on one side of the equation. Multiply both sides of the equation by 2 to counteract the effect of the “1/2.” You then have 200=20h. Divide both sides of the equation by 20 to isolate the “h.” You find out that h=10.
Source: https://sciencing.com/value-variable-geometry-12158741.html
