Answer:
for 10. a
for 11. f.
Step-by-step explanation:
Answer:
log 5
Step-by-step explanation:
We can rewrite this by using a property of logs
log a - log b = log (a/b)
log(10) - log(2)
log(10/2)
log 5
Answer:
Event 1: Rolling a number cube has 6 possible outcomes. Event 2: Flipping a coin has 2 possible outcomes. There are 12 possible outcomes.
Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>
The answer is x = 10, y = 10.
Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.
Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x
Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10
Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
