Since the perimeter must not exceed 291.
Let the third side be x.
x + 87 + 64 < 291
x + 151 < 291.
x < 291 -151.
x < 140. (First)
But for a triangle there is what is called the Triangle Inequality Theorem. That given the two sides of a tringle, the third side of the triangle must greater than the positive difference between the two sides and less than the sum of the two sides.
So for this case. 87 and 64.
x > ( 87 - 64). x > 23.
x < (87 + 64) x < 151. Combine both inequalities.
23 < x < 151 (second).
Combining First and second. Both must be satisfied.
So we have a more accurate answer as:
23 < x < 140. x is greater than 23 and x is less than 140.
x could be 24, 25, 26, 27, ......, 139. cm.
I hope this helps.
Answer:
$4.8
Step-by-step explanation:
$24×20/100=$4.8
Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45
Answer:
Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.
Step-by-step explanation:
Orders:
Salads 3
Pizzas 8
Sides of breadsticks 4
Pepperoni calzones 5
Total orders: 20
Proportion of sides breadsticks=4/20=0.2
Proportion of pepperoni calzones=5/20=0.25
For 100 total orders:
Sides of breadsticks=0.2(100)=20
Pepperoni calzones=0.25(100)=25
