Answer:
Step-by-step explanation:
5.
point = (x, y)
A = (
, 12)
B = (
, 20)
C = (3, 24)
D = (
, 28)
y/x ratios
24/3
6.
(1 2/3, 3 1/3) = 3 1/3 ÷ 1 2/3 = 2
(1 1/4, 2 1/2) = 2 1/2 ÷ 1 1/4 = 2
(3, 7) = 7 ÷ 3 = 2 1/3
(4 1/2, 9) = 9 ÷ 4 1/2 = 2
The ratio 7/3 (x = 3 and y = 7) is not proportionally related to the others.
The other ratios are equal to each other and are therefore in proportion.
7. yes
Answer:
slightly confused on the wording if he got back 3/4 from 16.5 then he earned back 12.375 points
if -16.5 is the 1/4 he didnt get back then he had 66 points
Step-by-step explanation:
Answer:
x = 82°
y = 59°
z = 39°
Step-by-step explanation:
∠x = 1/2(134° + 30°) = 82°
∠z = 180° - 59° - 82° = 39°
arc DF = 2(39°) = 78°
arc DB + arc DF = 134° + 78° = 212°
draw a diameter down from point B to the opposite side of the circle, call that point P:
arc BDP = 180°
(arc BDF) 212° - 180° = 32° (arc PF)
∠PBG = 1/2(32°) = 16°
∠DEB = 1/2(134°) = 67°
∠DBE = 180° - 59° - 67° = 54°
(∠DBE) 54° - (∠z) 39° + (∠PBG) 16° = (∠PBE) 31°
y = 90°- 31° = 59°
Answer:
I'm sure the answer to this is: x<20/3
Given :
The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.
The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.
To Find :
How many packages of each size were shipped.
Solution :
We know, 1 pound = 16 ounces.
So, 20 pound = 20×16 = 320 ounces.
Let, number of large and small box are l and s.
So,
25l + 6s = 327 ...1)
0.45s + 1.20l = 18.45 ...2)
Solving both the equations, we get :
x = 9 and y = 17
Therefore, package smaller and big size are 17 and 9 respectively .
Hence, this is the required solution.
