1) 5 cups of yellow paint; because if 10 cups of yellow paint are used for 2 cups of blue paint, then you would use 5 cups of yellow paint to even out the pigment of one cup of blue.
2) 3 cups of blue paint, and 15 cups of yellow paint
3) 5 cups of yellow for every cup of blue paint
4) for every cup of blue paint 5 cups of yellow are used to get the same shade of green

4 0

3 years ago

Read 2 more answers

What is the equation of the quadratic graph with a focus of (3, 6) and a directrix of y = 4? f(x) = one fourth (x − 3)2 + 1 f(x)

mina [271]

Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|

Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5

Required answer is f(x) = one fourth (x - 3)^2 + 5

8 0

2 years ago

Jonah is going to the store to buy candles for his igloo. Small candles cost $3.50 and large candles cost $5.00. He needs to buy

Semmy [17]

Answer:

$x+y\geq 20$

$3.50x+5.00y\leq 80$

Step-by-step explanation:

Let x represent number of small candles and y represent number of large candles.

We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

$x+y\geq 20...(1)$

We are also told that small candles cost $3.50, so cost of x small candles would be $3.50x$ .

Since large candles cost $5.00, so cost of y large candles would be $5.00y$ .

We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:

$3.50x+5.00y\geq 80$

Therefore, our required system of inequalities would be:

$x+y\geq 20$

$3.50x+5.00y\leq 80$

4 0

2 years ago

David leaves the house to go to school. He walks 160m west and 290m north. To the nearest tenth, how far away is he from his sta

zavuch27 [327]

Answer:

50m

Step-by-step explanation:

7 0

2 years ago