Answer:
5 cups of milk are there in each bowl of chocolate pudding.
Step-by-step explanation:
Given,
The amount of milk is 10 quarts.
The numbers of bowls = 8
Since 1 quart = 4 cups
Therefore 10 quart = 10 × 4 cups
= 40 cups
Since school cafeteria uses 10 quarts of milk to make 8 bowls of chocolate pudding.
⇒ 40 cups of milk is used to make 8 bowls of chocolate pudding.
⇒In 8 bowls , 40 cups of milk are there.
⇒So to get amount of milk in 1 ball ,divide 40 by 8.
Therefore 5 cups of milk are in each bowl of chocolate pudding.
400 = 45x + 30x
400 = 75x
5.333 = x
Lets test
45mph for 5.333 hours = 240 miles
30mph for 5.333 hours = 160 miles
240 + 160 = 400 miles apart.
I don’t not understand more details needed or maybe a picture?
Answer:
Correct answer: x₁ = - 3/2 + i √7/2 or x₂ = - 3/2 - i √7/2
Step-by-step explanation:
We will first transform the given equation:
x² + 4x = x - 4 ⇒ x² + 4x - x + 4 = 0 ⇒ x² + 3x + 4 = 0
This equation has no solutions in the set of real numbers but it has in the set of complex numbers.
We will solve this equation as follows:
x² + 3x + 4 = x² + 2 · x · 3/2 + (3/2)² - (3/2)² + 4
the first three terms formed the square of the binomial
(x + 3/2)² - 9/4 + 4 = (x + 3/2)² - 9/4 + 16/4 = (x + 3/2)² + 7/4 =
= (x + 3/2)² - ( - 7/4) = (x + 3/2)² - (i √7/2)²
we gradually transformed the given equation and get the square difference
(x + 3/2)² - (i √7/2)² = (x + 3/2 - i √7/2) · (x + 3/2 - i √7/2)
(x + 3/2 - i √7/2) · (x + 3/2 - i √7/2) = 0 ⇒
x + 3/2 - i √7/2 = 0 or x + 3/2 + i √7/2 = 0 ⇒
x₁ = - 3/2 + i √7/2 or x₂ = - 3/2 - i √7/2
God is with you!!!
Answer:
area of square = l²= 4489m²
l=√4489 = 67m
Step-by-step explanation: