The two inequalities that represents the constraints for the art studio classes per week are:
x + 1.5y = 40
35(x + y) > 1,000
<h3>What two inequalities represent the constraints?</h3>
Here are inequalities signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
= means equal to
The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.
The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.
To learn more about inequality, please check: brainly.com/question/5031619
Answer:
-1
Explanation:
3π / 4 = (3*180) / 4 = 135 degrees
Since 135 is in the 2nd quadrant, therefore:
tan (135) = - tan (45) = -1
cot θ = 1/tanθ
Therefore:
cot (3π / 4) = 1/tan(3π / 4)
cot(3π / 4) = -1
Hope this helps :)
53: 800 and 900
54: 700 and 800
55: 500 and 600
56: 2,771,100 and 2,771,200
57: 90,120,000 and 90,120,100
58: 631,900 and 632,000
59: 93,300 and 93,400
60: 200 and 300
61: 900 and 1000
62: 39,576,700 and 39,576,800
63: 24,900 and 25,000
64: 471,100 and 471,200
Answer:
77
Step-by-step explanation:
"Of" means multiply. Make the percent a decimal and multiply. So 1.1 x 70 = 77
Answer:
M(B(h))=78.18025h
Step-by-step explanation:
First we have the following equations:
L(h) = 28.75h eq. 1
B(L) = 1.78L eq. 2
M(B) = 1.43B eq. 3
To find the selling price based on the estimated number of hours, we need to start replacing equation 1 in equation 2 as:
B(L) = 1.78*B
B(L(h)) = 1.78*(28.75h)
B(L(h)) = B(h) = 51.175h eq. 4
Finally, if we weplace equation 4 in equation 3, we get:
M(B) = 1.43B
M(B(h)) = 1.43*(51.175h)
M(B(h)) = 73.18025h
So, the composite function that can be used to find the selling price for the labor portion of a bid based on the estimated number of hours is:
M(B(h)) = 73.18025h
