Answer: 24 pistachios cupcakes.
Step-by-step explanation:
We know that:
They recently sold 6 pistachio cupcakes and 8 other cupcakes.
Then we can model this with the ratio 6:8
This means that for each 6 pistachio cupcakes sold, they also sell 8 of another type of cupcakes.
Whit this info, if they sell 56 cupcakes, how many of them will be pistachio cupcakes?
Using the ratio above, we must find a number N such that:
N*6 + N*8 = 56.
N*(6 + 8) = 56
N*14 = 56
N = 56/14 = 4.
This means that:
out of the 56 cupcakes, 4*6 = 24 are pistachios cupcakes
4*8 = 32 are other cupcakes.
Then you should expect that 24 out of the 56 cupcakes are pistachios cupcakes.
There are 6 balls to every box (a ratio of 6 to 1). Therefore, when there are 78 balls, there are 13 boxes.
Answer:
80 square meters
Step-by-step explanation:
A rectangle that is partitioned into two rectangles; rectangle A and rectangle B
Rectangle A:
Top = 5 meters
Side = 8 meters
Area of rectangle A = length × width
= 5 meters × 8 meters
= 40 meters ²
Rectangle B:
Top = 5 meters
Side = 8 meters
Area of rectangle B = length × width
= 5 meters × 8 meters
= 40 meters ²
Total area of the partitioned rectangle = area of rectangle A + area of rectangle B
= 40 meters ² + 40 meters ²
= 80 meters ²
Answer:
36 objects
Step-by-step explanation:
You want the value of x when t=9, so you're solving ...
9 = 0.007x^2 +0.003x
9 = 0.007(x^2 + 3/7x)
From here, we observe that an approximation is probably sufficient.
9/0.007 = x(x +3/7) . . . . . the expression on the right is nearly x^2
x ≈ 3/√.007 ≈ 35.9 ≈ 36
We can check:
.007(36)(36 3/7) = 9.18
.007(35)(35 3/7) = 8.68
To keep the computer busy for 9 seconds, it needs to sort 36 objects.
