Answer:
Step-by-step explanation:
so S and Y are complementary...that means when added, they equal 90 degrees.
S + Y = 90
S = 4Y - 185
4Y - 185 + Y = 90
5Y - 185 = 90
5Y = 90 + 185
5Y = 275
Y = 275 / 5
Y = 55 <===== angle Y is 55
S + Y = 90
S + 55 = 90
S = 90 - 55
S = 35
You don't define the ratio, so there are two answers:
If 2/3 is boys to girls, then,
2/3 = 24/x
x = 36 girls
If 2/3 is girls to boys, then,
2/3 = x/24
x = 16 girls
Answer:
9
Step-by-step explanation:
Replace a by 7
and
b by 4
and
c by 1/2
7+4(1/2)
7+2=9
Answer:
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Explanation:
Simulate (build a table) the growing of the number of pennies for some nights to figure out the pattern:
First night: 1 penny = 2⁰
Second night: 1 × 2 pennies = 2¹
Third night: 2 × 2 = 2²
Fourth nigth: 2² × 2 = 2³
nth night: 2ⁿ⁻¹
You want 2ⁿ⁻¹ ≥ 2,000,000,000
Which you solve in this way:
- n-1 log (2) ≥ log (2,000,000,000)
- n - 1 ≥ log (2,000,000,000) / log (2)
Since n is number of days, it is an integer number, so n ≥ 32.
Hence, she will have a total of more than $ 2 billion after 32 days.
You can prove that by calculating 2³² = 2,147,483,648.
