Answer:
120 = 3y + t
Step-by-step explanation
because you purchase 3 times as many y then t. Overall, your answer should end up as 120 by using an equation like this.
Answer:
Step-by-step explanation:
x=12
Answer:
The angle θ = 312°.
Step-by-step explanation:
0° < θ < 360°
If cos θ = 2/3 and tan θ < 0
As cos θ is positive and tan θ is negative so the angle is in fourth quadrant.
cos θ = 2/3
θ = 312°
Answer:
2x - 3y = 18
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 2x - 3y = - 3 into this form by subtracting 2x from both sides
- 3y = - 2x - 3 ( divide all terms by - 3 )
y = 
x + 1 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
Given the y- intercept = 6, then
y = x + 6 ← equation in slope- intercept form
Multiply through by 3
3y = 2x + 18 ( subtract 3y from both sides )
0 = 2x - 3y + 18 ( subtract 18 from both sides )
2x - 3y = - 18 ← equation in standard form
Answer:
60
Step-by-step explanation:
A 3-digit number can be odd only when the third digit in it would be odd.
So,
The 3rd digit becomes the most limiting which can be (1, 3, or 5).
Now,
Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways
After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;
3 * 5 * 4 = 60 ways
Hence, 60 is the correct answer.
