47 times 22 = 1034
1034/2 = 517
380 is less than 517 so Renee has more than enough for each student.
Answer:
x = 20 cm
Step-by-step explanation:
The triangles given are similar triangles because they share the same angles. Because they are similar, their side lengths are in the same ratio, or proportion to one another. The left side of the larger triangle has a length of 121cm + 11cm = 132cm where the smaller triangle only has a length of 11 cm. We can put these lengths into a ratio:
Since the other side of the triangle would have to be in the same proportion, or ratio, we can set up the following proportion:
Use cross-multiplication: 5x + 20 = (10)(12) or 5x + 20 = 120
Subtract 20 from each side: 5x + 20 - 20 = 120 - 20 or 5x = 100
Divide and solve for 'x': 5x/5 = 100/5 or x = 20 cm
Answer:
27 inches
Step-by-step explanation:
We are using the Pythagorean theorem
a^2 +b^2 = c^2 where c is the hypotenuse
We are given the diagonal, which is the hypotenuse and a leg
36^2 + b^2 = 45^2
Subtract 36^2 from each side
36^2 + b^2 - 36^2 = 45^2 - 36^2
b^2 = 45^2 - 36^2
b^2 =2025-1296
b^2 =729
Take the square root of each side
sqrt(b^2) = sqrt(729)
b =27
Let's begin by assigning a letter to represent our unknown: x = # of toppings to be added to each pizza Now let's come up with expressions for the cost of each pizza with its toppings: Palanxio's Pizza: 6.80 + 0.90x Guido's Pizza: 7.30 + 0.65x Now let's equate the costs of both pizzas and solve for our unknown (x): 6.80 + 0.90x = 7.30 + 0.65x 0.90x - 0.65x = 7.30 - 6.80 0.25x = 0.50 x = 0.50/0.25 x = 2 toppings to be added to each pizza Finally, we can verify our answer by plugging it back into our equation and see if both costs are the same: 6.80 + 0.90x = 7.30 + 0.65x [equation] 6.80 + 0.90(2) = 7.30 + 0.65(2) [answer plug-in] 6.80 + 1.80 = 7.30 + 1.30 $8.60 = $8.60 [both costs are the same] Since both costs are the same, we are confident that our answer is correct.
