Step-by-step explanation:
the slope of a line is the ratio y/x.
that means, when going from one point to the other, how many units y changes, when x changes a certain number of units.
the sign indicates the direction of the change (+ for larger and - for smaller).
so, here x changes by 6 units (from -3 to 3), and y changes by -2 units (from 4 to 2).
therefore, the slope is
-2/6 = -1/3
To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed
Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,
total time = time upstream + time downstream
4 = 3/(x - 1) + 3/(x +1)
Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.
Answer: The statement is true.
Explanation: AB is approximately equal to DE. BC is equal to EF and angle ACB is approximately equal to angle DEF, therefore triangle ABC is approximately equal to triangle DEF.
Hope this helps :)
Answer:
100rz cents.
Step-by-step explanation:
The price of cement with respect to its weight is proportional.
So, we can write p ∝ w
where p is the price in dollars and w is the weight of the cement in pounds.
⇒ p = kw ............... (1) {Where, k = proportionality constant}
Given that, one pound of cement cost r dollars.
So, from equation (1), we can write
r = k(1)
⇒ k = r
So, the equation becomes p = rw .............. (2)
Now, for w = z pounds, the price will be p = rz dollars. {From equation (2)}
Therefore, the price of z pounds in cents will be 100rz cents. (Answer)
The answer is A because , he spent 60$ for the party and then he wanted ppl over. 6$ per person, add six 10 times on top of the 60 and you get 126$ so, it’s going to be less than 11, there for, that is your answer.
