Answer: D, 6km/hr.
Step-by-step explanation:
Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.
How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.
12 ÷ 2 = 6.
Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.
Answer:
If there are 24 green grapes, then there would be 32 black grapes!
Step-by-step explanation:
First, identify what you know.
1) In a bowl of fruit, there are green grapes, and black grapes.
2) The ratio of green grapes to black grapes is 3:4
3) There are 24 green grapes
Simply divide 4 by 3!
4/3 = 1.3
24 x 1.3 = 32
Hope this helps! :)
Answer:
$2.90
Step-by-step explanation:
The quantity of the 1st type of candy be x lb and that of the second type − y lb with the price of $ p/lb.
Then, x=5y/12 or y=2.4x.
The "total price" equation will be: 4.6x + 2.4xp = 3.4(x+2.4x).
Solving for p, we get p = $2.90.
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that 
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.
