Answer:
Hi there!
Your answer is:
Y= 0
X= 9
Step-by-step explanation:
3x=27+3y
3x-10y=27
Solve one of them for Y
I chose the first equation
3x=27+3y
-27
3x-27=3y
/3
x-9 = y
NOW, plug y in the second equation!
3x-10y=27
y= x-9
3x-10y=27
3x-10(x-9) = 27
Solve for x!
3x-10x+90 = 27
-7x + 90 =27
-90
-7x = -63
/-7
x= 9
FINALLY, plug back in x for y equation
y=x-9
x=9
y=9-9
y=0
18. -500 + 250 = -250
19. -550 - 300 = - 850
20. 116 - (-50) = 116 + 50 = 166
21. 2500 + 1800 - 2200 = 2100
Answer:
9.00 square units
Step-by-step explanation:
The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.
The subintervals are:
0 ≤ x ≤ 1
1 ≤ x ≤ 2
2 ≤ x ≤ 3
3 ≤ x ≤ 4
MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:
f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25
f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25
f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25
f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25
So the total approximate area is:
A = 3.25 + 1.25 + 1.25 + 3.25
A = 9.00
Graph: desmos.com/calculator/x8dcibqszo
Answer:
68% of an investment earning a return between 6 percent and 24 percent.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 15
Standard deviation = 9
How likely is it to earn a return between 6 percent and 24 percent?
6 = 15 - 1*9
6 is one standard deviation below the mean
24 = 15 + 1*9
24 is one standard deviation above the mean
By the empirical rule, there is a 68% of an investment earning a return between 6 percent and 24 percent.
Answer:
Yes, she will have $1.96 left
Step-by-step explanation:
Initial cost : $60
Discount : 25%=0.25
Calculating discount : 60 * 0.25 = 15
Calculating cost after discount : 60-15 = 45
Sales tax : 6.75%=0.0675
Calculating sales tax : 45 * 0.0675 = 3.0375≈$3.04
Calculating final cost : 45+ 3.04 = $48.04
Can she buy the printer : 50 - 48.04= $1.96
Answer : yes
