Answer:
84 months
Step-by-step explanation:
Maria is 7 years old, there are 12 months in a year, multiply 12 by 7.
12 * 7 = 84
Maria is 84 months old
Answer:
The answer to your question is:
x = 13
x + 10 = 23
5x - 42 = 23
Step-by-step explanation:
Data
angle 1 = x + 10
angle 2 = 5x - 42
They are vertical angles so, they measure the same.
x + 10 = 5x -42
x - 5x = -42 - 10
- 4x = -52
x = -52/-4
x = 13
angle 1 = x + 10 = 13 + 10 = 23
angle 2 = 5x - 42 = 5(13) -42 = 65 -42 = 23
Answer:
a) y =2/3 x + 7.
b) x = -1
c) y = -4/5 x - 1/5
d) y = -3/2 x + 5/2.
Step-by-step explanation:
a) Intercept form y = mx + b where m = 2/3 and b = 7
b) y can take any value but x is always -1.
c) Slope m = (-1-3)/ (1 - -4)
= -4/5
Using point-slope form where m = -4/5 and x1 y1 = 1 , -1:
y - y1 = m(x - x1)
y - -1 = -4/5(x - 1)
y + 1 = -4/5x + 4/5
y = -4/5 x - 1/5
d) The slope m of the line perpendicular to this line is:
-1 / 2/3
m = -3/2.
When x = -1 , y = 4 so using the slope intercept form of a line
y = mx + b
4 = -3/2 * -1 + b where b = the y-intercept.
4 = 3/2 + b
b = 4 - 3/2 = 5/2.
The equation is y = -3/2 x + 5/2.
Answer: $31.45
Step-by-step explanation:
Given : The price of a pair of pants is $29.95.
The sales tax is 5% = 0.05
Required formula :
Total cost = Price + sales tax percent × Price
Total cost= Price (1+Sales tax percent)
i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45
Hence, the total cost of the pair of pants = $31.45
Answer:
Step-by-step explanation:
<u>Figure 1</u>
<u>Figure 2</u>
<u>Figure 3</u>
<u>Equation for nth term</u>
- (n + 1)^2 - 2 =
- n^2 + 2n + 1 - 2 =
- n^2 + 2n - 1
