1. Ratio between onions and tomatoes:
There are 3 onions and 4 carrots.
Therefore, required ratio is 3:4
2. Ratio between tomatoes to cups of chicken stock:
There are 6 tomatoes and 5 cups of chicken stock.
Hence, the required ratio is 6:5.
3. Sticks of butter to bananas:
There are 1 stick of butter and 2 bananas.
So, the required ratio is 1 to 2.
4. Teaspoons of salt to teaspoons of black pepper:
There are 2 teaspoons of salt and 1 teaspoon of black pepper.
Please refer attached figure.
5. Let's calculate the ratio of cups of chocolate chips to tomatoes.
There are 3 cups of chocolate chips and 6 tomatoes.
Hence, the required ratio is 3:6 and on simplifying, 1:2.
Answer:
8x - 4
Step-by-step explanation:
8x - 4
The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
<u>Given the following data:</u>
- Volume of box = 224 cubic inches.
Translating the word problem into an algebraic expression;
......equation 1
......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
.....equation 3.
Substituting the values into equation, we have;
Rearranging the polynomial, we have;
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
We would try with 4;
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: brainly.com/question/10689855
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
