Since both equations are equal to y, set them equal to each other and solve.
-7/8 x + 1/4 = -3/4x + 1/2
Multiply each term by the LCD 8.
8(-7/8)x+8(1/4)=8(-3/4)x+8(1/2)
-7x + 2 = -6x + 4
Add 7x to both sides
2 = x + 4
Subtract 4 from both sides
-2 = x
Plug -2 into one of the original equations and solve for y.
y = (-3/4)(-2) + (1/2)
y = (3/2) + (1/2)
y = 2
(-2, 2)
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:
6.6 repeating cm per min
Step-by-step explanation:
Answer:30
Step-by-step explanation:because it is very diffeculy sorry
Answer:
The first one, 14 weeks of dance classes.
Step-by-step explanation:
She paid $753.95 as a total for all of the classes, not just one week. She paid her registration free, which you subtract from 753.95 to get 630.00. She pays 45 per week, so you divide 630 by 45 to get the amount of weeks she attended dance classes, or 14 weeks.