Each marble bag sold by Melissa's Marble Company contains 3 orange marbles for every 5 blue marbles. If a bag has 24 orange marbles, how many blue marbles does it contain?

Answers

Answer 1

Answer: 3/5=24/x. cross multiply, you get 120=3x. divide by 3, x = **40**

Answer 2

Answer: 3:5

3 to 5

3
-----
5

First we will divide to see who many sets of orange there are in the bag.

24 ÷ 3 = 8

Since there are 8 sets of orange we will multiply8 by 5 since for every 3 orange marbles there are 5 blue marbles.

8 × 5 = 40

SO, a bag contains 24 orange marbles and 40 blue marbles.

Hope i helped ya!

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Point O is the center of the circle in the diagram. What is
m∠BCA?

Answers

we know that

The measure of the external angle is the semidifference of the arcs that it covers.

$m\ angle\ BCA= (1)/(2) *(arc\ BOA-arc\ BA)\n\n m\ angle\ BCA= (1)/(2) *(250-110)\n \n m\ angle\ BCA=70\ degrees$

therefore

the answer is

The measure of angle BCA is equal to $70\ degrees$

As you know the exterior angle formed by m< BOA is 250 degrees.

The point where C is the point of vertical angles. Vertical angles form a linear pair.
Linear pair is Always of 180 degrees so,
250 - 180 = 70 degrees

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 1 0.1 0.01 0.001

Answers

Answer:

common ratio for the given sequence is 0.1

Step-by-step explanation:

Common ratio(r) defined as the ratio of term to the previous term.

Given the sequence:

0.1, 0.01, 0.001, ...

$a_1 = 0.1$

$a_2 = 0.01$

$a_3 = 0.001$ ......

by definition of common difference;

$r = (a_2)/(a_1)=(a_3)/(a_2).....$

Substitute the given values we have;

$r = (0.01)/(0.1)=(0.001)/(0.01).....$

Simplify:

$r = 0.1$

Therefore, the common ratio for the given sequence is 0.1

The common ratio is 0.10

0.1 x 0.1 = 0.01
0.01 x 0.1 = 0.001

common ratio is the ratio of a term to the previous term.

0.1 is the previous term of 0.01

common ratio = 0.01/0.1 = 0.10
common ratio = 0.001/0.01 = 0.10

What are the first ten terms of the sequence?
18, 10 2