Answer:
9x - 15
Step-by-step explanation:
Using the addition of like terms we know that 4x + 2x = 6x, and 6x + 3x = 9x, and then we just put -15 at the end and we end up with 9x - 15
Answer:
y = 0.2x + 3.4
Step-by-step explanation:
Slope intercept form of line is
y = mx + c
where
m = slope
c is y intercept
given that slope is 0.2 thus, m = 0.2
now equation of line
y = 0.2x + c
now we substitute value of x and y ( (-2, 3) in this equation as given that the given point passes through the line
3 = 0.2*-2 + c
3 = -0.4 + c
c = 3+0.4 = 3.4
put c = 3.4 in equation
y = 0.2x + c
y = 0.2x + 3.4
Thus,
third option , y = 0.2x + 3.4 is the correct answer
Calculate the circumference and then add the 1 cm overlap:
C = pi*(6.6 cm) + 1 cm = 21.7 cm.
Next, mult this C by the height, 8.8 cm: Total area is 21.7 cm times 8.8 cm,
or 191.3 cm^3 (answer)
Answer:
the probability that at least one envelope is a yellow envelope is 16/21
Step-by-step explanation:
The probability that at least one envelope is a yellow envelope is P(Y);
P(Y) = 1 - P(Y)'
P(Y)' is the probability that no envelope is a yellow envelope.
Given;
red envelope = 1
blue envelopes = 3
green envelopes = 2
yellow envelopes = 3
Total = 9
Number of non-yellow envelope = 9 -3 = 6
(6 envelope are not yellow)
P(Y)' = P1 × P2 × P3
Since there is no replacement;
P(Y)' = 6/9 × 5/8 × 4/7
P(Y)' = 5/21
From equation 1;
P(Y) = 1 - 5/21
P(Y) = 16/21
the probability that at least one envelope is a yellow envelope is 16/21.
X= 10 y= 9 the difference between the two numbers is one and they equal 19
