Log (xy)
log (12*20)
log (240)
2.38
w - 7 > - 4 To solve the inequality, you need to get the variable (w) by itself, to do so, you add 7 on both sides of the inequality
w - 7 + 7 > -4 + 7
w > 3 [w is a number greater than 3]
(If you are using an open circle and closed circle, otherwise you can skip)
When the sign is < or >, you have an open circle "o"
When the sign is ≤ or ≥ (less/greater than or equal to), you have a closed circle
Make an open circle on the number 3, then make an arrow pointing to the right because w is greater than 3.
If you don't have to do the open/closed circle, just make a dot on the number 3 and make an arrow pointing/going to the right
Do you have any answer choices
9514 1404 393
Answer:
b. 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠ABC +∠CBD = 90° . . . . . . the given relation
∠ABC + 35° = 90° . . . . . . . . . substitute the given value
∠ABC = 55° . . . . . . . . . . . . . . subtract 35° from both sides
∠ABC = ∠EBF = 55° . . . . . . vertical angles are congruent
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
