It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.
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Ok so if you did 156-6 (considering it was 6 more you want to subtract it) and then because the girls was doubled the boys (you are now at 150) you must divide that by 3 which will give you 50. But you need to double it (for girls) which is 100 and then you have 50 left over which is for the boys. Boys=50 girls=106
Answer:
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Split the fraction in the bracket
Simplify the fraction by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
2.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
3.
Simplify the numerator as thus:
Simplify the denominator as thus:
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
4.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence
Step-by-step explanation:
A.
B.
C.
Answer:
AB = 14.0 cm
Step-by-step explanation:
This requires us to use the Pythagorean Theorem twice.
We have (20 cm)^2 = (6 cm)^2 + (AC)^2
(AB)^2 + (BC)^2 = (AC)^2
BC = 13 cm
(AB)^2 = (AC)^2 - (BC)^2
(20 cm)^2 = (6 cm)^2 + (AC)^2
(AC)^2 = (20 cm)^2 - (6 cm)^2
so...
(AB)^2 = 20^2 - 6^2 - 13^2
(AB)^2 = 400 - 36 - 169 = 195
AB = root(195) = 13.964 cm
rounded AB = 14.0 cm