This is just simple division:
36 / 0.75 =
3600 / 75 =
720 / 15 =
144 / 3 =
48 / 1 =
48
You have to sell 48 newspapers to by Soccer Cleats.
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
Answer:
x= 10, y= 6
Step-by-step explanation:
2x -3y= 2 -----(1)
-2x -y= -26 -----(2)
(1) +(2):
2x -3y -2x -y= 2 -26
-4y= -24
y= -24 ÷(-4)
y= 6
Substitute y= 6 into (1):
2x -3(6)= 2
2x -18= 2
2x= 18 +2
2x= 20
Divide both sides by 2:
x= 20 ÷2
x= 10
Answer:
10x + 25y = 285
One $25 gift cards with 26, $10 gift cards.
Three $25 gift cards with 21, $10 gift cards and
Five $25 gift cards with 16, $10 gift cards.
Step-by-step explanation:
I can purchase gift cards for $10 or $25. I have spent $285 on gift cards.
If I have purchased x number of $10 gift cards and y number of $25 gift cards then the equation that models the situation in standard form will be given by
10x + 25y = 285 .......... (1)
Now, for y = 1, x = 26
For, y = 3, x = 21
For, y = 5, x = 16
So, here are the three combinations of gift cards that I could have purchased.
One $25 gift card with 26, $10 gift cards.
Three $25 gift cards with 21, $10 gift cards and
Five $25 gift cards with 16, $10 gift cards. (Answer)
Answer:
(0.095, 0.165)
Step-by-step explanation:
Confidence interval :
Phat ± margin of error
Margin of Error = 0.035
Phat = x / n
Phat = 11 / 85 = 0.1294117
Hence,
Phat ± 0.035
Lower boundary = 0.1294117 - 0.035 = 0.0944
Upper boundary = 0.1294117 + 0.035 = 0.1644
(0.0944, 0.1644)
