Isabel pays $24.07 for 5.8 gallons of gas. What is the unit price in dollars per gallon?

Answer:

345

Step-by-step explanation:

To find out how many cakes the bakery can make, you'll need to convert the amount of milk they have into cups and then divide by the amount of milk needed to make one cake.

First, let's convert the 72 half-gallons of milk into cups:

1 half-gallon = 8 cups (since 1 cup is 1/8 of a half-gallon)

So, 72 half-gallons = 72 x 8 cups = 576 cups of milk.

Now, you mentioned that it takes 1 2/3 cups of milk to make a cake.

Let's convert this mixed number into an improper fraction: 1 2/3 = (3 x 1 + 2)/3 = 5/3 cups of milk for one cake.

Now, we can find out how many cakes the bakery can make by dividing the total cups of milk by the amount needed for one cake: 576 cups of milk ÷ (5/3) cups per cake = 576 cups ÷ (5/3) ≈ 345.6 cakes.

Since you can't make a fraction of a cake, the bakery can make approximately 345 cakes with the milk they have.

Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3

Answer:

81- eighty one

54- fifty four

Answer:

Step-by-step explanation:

Given: y = and passes through the point (6, 5).

Here we have to find the equation of the line that is parallel to the given line.

If the two lines are parallel, then their slopes must be the same.

From the given equation, the slope(m) =

So the slope of the parallel line also will be the same.

Now we have to find the y-intercept of the parallel line.

The general form of slope-intercept form y = mx + b, where "m" is the slope and "b" is the y-intercept.

We know m = and it is passes through the point (6, 5)

Here x = 6 and y = 5

Now plug in these values in the above slope-intercept and find the y-intercept.

5 =

5 = -2 + b

Adding 2 on both sides, we get

b = 5 + 2

b = 7

Now we got slope (m) = -1/3 and y-intercept(b) = 7

So the required equation is y =