Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines
Writing the equations in the slope-intercept form
where m is the slope and b is the y-intercept
Thus, the slope = m₁ = -2/3
also
Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
Answer:
12 sapphires
Step-by-step explanation:
Let's call the number of sapphires x. This means the number of rubies is the total number of gems minus x, or 17-x.
# of Sapphires: x
# of Rubies:17-x
A sapphire is worth 5 (gold coins) each, and a ruby is worth 8.
We also know the total amount of money is 100 coins, so
5*x+8*(17-x)=100
5x+136-8x=100
-3x=-36
x=12
Remember:
# of Sapphires: x
# of Rubies:17-x
...so Lara found 12 sapphires and 17-12=5 rubies.
Maybe Use A Ruler or a yard stick
So we're looking for the top half of a fraction. They all appear to equal to 5/10, which is 1/2. Whatever is 1/2 of the denominator (or twice the numerator) is our answer.
?/100; 1/2 of 100 is 50, that answer is 50/100.
3/?; 3 is 1/2 of the denominator, multiply by 2.
3/6.
2/?; multiply by 2. 2/4.
?/10; divide by 2, 5/10.
Hope this helps!
<span>the probability the probability that she will win the prize quilt:
= 15/250
= 0.06
= 6%
</span>