Answer:
With 7 cups of flour 3.13 batches of cookies can be made.
Step-by-step explanation:
The amount of flour needed per batch of cookies = 7/3 cups
= 2.33 cup
⇒ 1 batch of cookies = 2.33 cup of flour
or the ratio of <u>cookie to flour = 1 : 2.33</u>
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Now, the amount of flour Benny has = 7 cups
Let the total batches of cookie made = m
or, ratio of <u>cookie to flour = m : 7</u>
So, by the RATIO OF PROPORTIONALITY:
⇒ m = 7 /2.23
or, m = 3.13
or, total batches of cookie made = 3.13
Hence, from 7 cups of flour 3.13 batches of cookies can be made.
Answer:
10.2
Step-by-step explanation:
Answer: 3 meters downward per second
Step-by-step explanation:
If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.
15/5 = 3
3 meters per second
Answer:
(B)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
Answer:
c = 24.34
Step-by-step explanation:
Here, we can use the cosine rule
Generally, we have this as:
a^2 = b^2 + c^2 - 2bcCos A
12^2 = 14^2 + c^2 - 2(14)Cos 19
144 = 196 + c^2 - 26.5c
c^2 - 26.5c + 196-144 = 0
c^2 - 26.5c + 52 = 0
We can use the quadratic formula here
and that is;
{-(-26.5) ± √(-26.5)^2 -4(1)(52)}/2
(26.5 + 22.23)/2 or (26.5 - 22.23)/2
24.37 or 2.135
By approximation c = 24.34 will be correct
