<span>A = 157, B = 23
The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4.
So write down the formula
A + B = 180
Substitute the formula for A in terms of B
7B - 4 + B = 180
Combine terms
8B - 4 = 180
Add 4 to both sides
8B = 184
Divide both sides by 8
B = 23
Now calculate A in terms of B
A = 7B - 4
A = 7 * 23 - 4 = 161 - 4 = 157
Verify that A and B add up to 180
157 + 23 = 180</span>
Answer:
d) 205
Step-by-step explanation:
<u><em>Step(i):-</em></u>
x : 100 150 200 250 300
p(X=x) : 0.10 0.20 0.30 0.30 0.10
<u>Step(ii):-</u>
Let 'X' be the discrete random variable
Expected value of the random variable
E(X) = ∑ x P(X=x)
= 100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10
= 205
<u>Final answer:</u>-
The expected value E(X) = 205
Answer:
y - 6 = - 3(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (- 1, 6) , then
y - 6 = - 3(x - (- 1) ) , that is
y - 6 = - 3(x + 1)
Given:
Budget = $30
cost of pizza = $9
cost of drinks = $1
number of pizza = p
number of drinks = d
pizza and drinks should only be equal to or less than the budget of $30.
$9p + $1d <u>< </u>$30
unit cost of pizza : 9
unit cost of drinks : 1
total cost of set (p & d) 10
pizza = 9/10 x 30 = 27 total cost of pizza
drinks =1/10 x 30 = 3 total cost of drinks
27 ÷ 9 = 3 number of pizzas to order
3 ÷ 1 = 3 number of drinks to order
To check:
9p + 1d <u>< </u>30
9(3) + 1(3) <u>< </u>30
27 + 3 <u>< </u>30
30 <u>< </u>30
Answer:
A
Step-by-step explanation:
4×-12
Answer is letter A
hope it help^^
