Answer: first blank is 4/25.
second blank on the top row is 16:100=4:25.
First blank on the second row is 13/50.
The second blank on the second row is 26:100=13:50.
The first blank on the third row is 33:50.
The first blank on the fourth row is 4/7.
The second blank on the fourth row is 57%.
The third blank is 0.57.
Step-by-step explanation:
16/100 simplified is 4/25. 16÷4=4 100÷4=25
ratios are also fractions.
26/100 simplified is 13/50. 26÷2=13 100÷2=50
66/100 simplfied is 33/50. 66÷2=33 100÷2=50
4÷7(rounded down)=0.57
Answer:
Option B (No. The input is not possible).
Step-by-step explanation:
This is an everyday mathematics question, in which some friends go to see some movie. The function h(x) (output) represents the amount of money spent on the movies in total and x (input) is the number of friends that go to watch the movies. The practical nature of the input is such that x has to be a natural number. This is because humans consist in a countable set. Therefore, humans cannot be expressed in terms of the decimals. However, money can be any positive real number i.e. in decimals since there are amounts both in dollars and cents. As far as the solution (6.5, $95.25) does not make sense because practically there cannot be 6.5 humans in any way. But the amount $95.25 can exist. Therefore, Option B is the answer!!!
Answer: x= -8
Step-by-step explanation:
Answer:
Answer in simplified form is:
(sinФ - cosФ)² + (sinФ + cosФ)² = 2
Step-by-step explanation:
Given,
(sinФ - cosФ)² + (sinФ + cosФ)²
This can be simplified as:
(sin²Ф + cos²Ф - 2sinФcosФ) + (sin²Ф + cos²Ф +2sinФcosФ)
We know that : sin²Ф + cos²Ф = 1
So,
( 1 - 2sinФcosФ) + (1 + 2sinФcosФ)
or 1 + 1 -2sinФcosФ + 2sinФcosФ
or 2
Hence we got (sinФ - cosФ)² + (sinФ + cosФ)² = 2
Answer:
13
Step-by-step explanation:
3x + 7
x = 2
3 × 2 + 7 = 6 + 7 = 13
