To find out the cups, total jug volume should be divided by 0.25 litre.
4.5/0.25
18 cups
An integer is a whole number...can be negative or positive.
There are no whole numbers between 0 and 1....so there are no integers between 0 and 1
Answer:
Step-by-step explanation:
Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.
f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1
Find (f(x) + g(x)) when x = -1
(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)
= [ x² + x + 14 - 2] add like the term
(f(x) + g(x)) = x² + x + 12
(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1
= 1 - 1 + 12
= 12
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
<u>Question Completion</u>
(a)In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer
(A) Yes (B) No
(b) Find the probability that a randomly selected car from this region is mainly silver OR mainly black. P (silver OR black)=
Answer:
(a)Yes
(b)0.41
Step-by-step explanation:
(a) The events silver and black are mutually exclusive. Although a car's color can consist of both silver and black, its main color can only be either silver or black. It cannot be both
(b)In probability theory, given two mutually exclusive events A and B.
P(A or B)=P(A)+(B)
Therefore:
P (silver OR black)= P(silver) + P(black)
= 0.22 + 0.19
= 0.41
