Answer:
Use a calculator to divide the two values (small over big) to get 14/35 = 0.4
Now multiply that result by 100 to convert to a percentage
0.4*100 = 40%
he has ridden 40% of the course so
Answer:
p =
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q = 
(d) Now substitute the value of q =
into equation (i) as follows;
2p - 3(
) = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p = 
Therefore, p =
and q = 
Answer:
Equivalent measurements: teaspoon, ounce, pint, pound
You will find a table of equivalent measurements in the back of many cookbooks:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon = 8 ounces
1/4 cup = 4 tablespoons
1/3 cup = 5 tablespoons plus 1 teaspoon
1 pint = 2 cups = 16 ounces
1 quart = 4 cups (2 pints) = 32 ounces
1 gallon = 4 quarts
1 pound = 16 ounces
1/2 pound = 8 ounces
1/4 pound = 4 ounces
Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.
Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:
Measurement 1/2 Measurement
1/8 teaspoon just a dash
1 tablespoon 1 1/2 teaspoons
1/4 cup 2 tablespoons
1/3 cup 2 tablespoons + 2 teaspoons
3/4 cup 6 tablespoons
Step-by-step explanation:
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
(x,y) -> (x , 1/4 y) .. vertical compression