Answer:
There are 3 red marbles.
Step-by-step explanation:
The ratio of red marbles to blue marbles is 3:2, so for every two blue marbles there are three red marbles. This means that there are three red marbles for every four marbles in the bag. Therefore, if there are five marbles in the bag, there must be three red marbles and two blue marbles.
Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x =
= 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
B. 6.72the answer is B 6.72
Answer: 40 %
Step-by-step explanation:
Let the amount of one card = x
Hence, the value of 20 cards ( Principal amount ) = 20x
And, the value of 22 cards ( Total amount after 3 month ) = 22x
⇒ Total interest in 3 month = 22x - 20x =2x
Let the annual interest rate = r %
( By the formula of simple interest rate )




Hence, the annual rate of interest = 40%
Answer:
Anna 9 and Betty 15
Step-by-step explanation:
sum the parts of the ratio , 3 + 5 = 8 parts
divide number of sweets by 8 to find value of one part of the ratio
24 ÷ 8 = 3 ← value of 1 part of the ratio , then
3 parts = 3 × 3 = 9
5 parts = 5 × 3 = 15
Anna gets 9 sweets and Betty gets 15