Answer:
32 orange marbles.
Step-by-step explanation:
First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.
This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.
You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,
and 8 × 4 = 32.
It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.
So:
3/4 = 24/O
Red marbles / orange marbles = red marbles / orange marbles.
(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).
3O = 96
÷3 ÷3
O [orange marbles] = 32
Answer:
Graph the point (1, -4), then proceed to use the slope either way. for example another point would be (-2, -5)
Answer:

Step-by-step explanation:
3 envelopes having 2 red card
2 envelopes having 1 red card and 1 black card
1 envelope having 2 black cards
We are given that . An envelope is selected at random and a card is withdrawn and found to be red.
So, No. of ways of envelope having red card = 3+2 = 5
No. of required ways of envelope having 1 red card and 1 black card = 2
So, probability of getting an envelope having 1 red card and 1 black card = 
Hence The chance the other card is black is 
Answer:
y=-7/2x - 2
Step-by-step explanation:
The slope is heading downwards so we know it is negative, for every two units moved on the x axis the y axis moves by 7 units. The starting point is -2