Step-by-step explanation:
y=-3+5x
substitute y into equation 2
3x-8y=24
3x-8(-3+5x)=24
3x+24-40x=24
x=0
y=-3+5(0)
y=-3
(x,y)=(0,3)
Answer:
3/4 cups → 1 batch
x cups → 2 batches
x = 2(3/4) = 6/4 = 1 1/2 cups
3/4 cups → 1 batch
y cups → 9 batches
y = 9(3/4) = 6 3/4 cups
Step-by-step explanation:
Answer:
The number of pink pens can be 19 .
Step-by-step explanation:
Total Number of pens = 20
Let x be the number of pink pens
We are supposed to find If the probability of choosing a pink pen is close to 1, how many pink pens would you expect to see in Amanda's bag
Probability of choosing a pink pen = 
Probability of choosing a pink pen =
ATQ
≈1
x≈20
So, the number of pink pens can be 19 .
Answer:
1/16
Step-by-step explanation:
if half the amount of blue marbles have sparkles you need to divide the amount of blue marbles in half
so 1/2 of 1/8 is 1/16
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>