Answer:
Issac's dog weighs 19 pounds
Step-by-step explanation:
Let x be Issac's dog's weight
- Translate the problem into an algebraic expression: x + (x + 12) = 50
- Simplify: 2x + 12 = 50
- Subtract 12 from each side, so it now looks like this: 2x = 38
- Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 19
I hope this helps!
Step-by-step explanation:
Note that t = d/r where t is time, d is distance, and r is rate/speed.
We can come up with two equations with the information given and the equation:
t_1 hr = (10 km)/(x km/hr)
t_2 hr = (12 km)/(x - 1 km/hr)
<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>
We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:
t_1 = t_2 - 1/2
Substituting the values we derived:
(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2
Then we can evaluate by multiplying by 2x(x-1) on both sides:
20(x-1) = 24x - (x)(x-1)
20x - 20 = 24x - x^2 + x
x^2 -5x -20 = 0
And we are done.
I hope this helps! :)
Answer:
7x
On my opinion may be its 7x because don't know whats the answer just i want to help you if its wrong then plz sorry
Answer:
1 9/16
Step-by-step explanation:
First, you do 25 - 16, and the answer is 9. After that you put a 1, as its a whole. Lastly, you put the 9 on top of the 16.
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,
Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,
Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,
Simplifying, we get,
Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.
Thus, the measure of ∠CBD is 60°
