Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14
![14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5](https://tex.z-dn.net/?f=14%20%2A%20%5Cfrac%7B4x%7D%7B7%7D%20%3D%2014%20%2A%20%5Cfrac%7By%7D%7B2%7D%20%2B%2014%20%2A%205)
![2 * 4x = 7 * y + 70](https://tex.z-dn.net/?f=2%20%2A%204x%20%3D%207%20%2A%20y%20%2B%2070)
---- Equation 3
Substitute y + 1 for x in equation 2
![8(y + 1) = 7y + 70](https://tex.z-dn.net/?f=8%28y%20%2B%201%29%20%3D%207y%20%2B%2070)
Open bracket
![8y + 8 = 7y + 70](https://tex.z-dn.net/?f=8y%20%2B%208%20%3D%207y%20%2B%2070)
Collect like terms
![8y - 7y = 70 - 8](https://tex.z-dn.net/?f=8y%20-%207y%20%3D%2070%20-%208)
![y = 62](https://tex.z-dn.net/?f=y%20%3D%2062)
![x = y + 1](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%201)
So,
![x = 62 + 1](https://tex.z-dn.net/?f=x%20%3D%2062%20%2B%201)
![x = 63](https://tex.z-dn.net/?f=x%20%3D%2063)
Hence, the consecutive numbers are 62 and 63
She would be able to make 4 chocolate chip truffles.
I got my answer because, it takes 2 cups of chocolate chips to make 1 truffle and it takes 1 cup of cream but she has plenty cream.
Answer:
D
Step-by-step explanation:
Answer:
180° is galf a full turn, so it takes 1/2 less time that is 20 seconds
90° is 1/4 of a full turm (360°), so it will take (1,4)×40= 10 seconds
45° is 1/8 of 360, so it will take 5 seconds
270° IS 3/4 pf 360°, so the answer is (3/4)×40 = 30 seconds