solve for the indicated variable. p=×+y+z for y

To find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to divide his available time equally between the two activities. The maximum number of each item he can carve depends on the total hours available, the time it takes to carve a fishing lure, and the time it takes to carve a duck decoy.

To find the maximum number of fishing lures and duck decoys that Mountain Mack could carve, we need to split his week evenly between the two activities. Let's say he has a total of 'x' hours available in a week. Since he'll be dividing his time equally, he'll spend 'x/2' hours carving fishing lures and 'x/2' hours carving duck decoys.

To put this in terms of fishing lures and duck decoys, we need to know the time it takes to carve each item. Let's say it takes 'y' hours to carve a fishing lure and 'z' hours to carve a duck decoy. The maximum number of fishing lures Mountain Mack can carve would be 'x/2y' and the maximum number of duck decoys he can carve would be 'x/2z'.

So, to find the maximum number of fishing lures and duck decoys Mountain Mack can carve, we need to know the total number of hours available in a week ('x'), the time it takes to carve a fishing lure ('y'), and the time it takes to carve a duck decoy ('z').

it is going to be 2 1/3

The length of a leg of a right triangle is 6 feet.

Used the concept of Pythagoras's theorem states,

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that,

In a triangle, the other leg is 8 feet long and the hypotenuse is 10 feet long.

Let us assume that,

the length of a leg of a right triangle = x

Hence by using Pythagoras's theorem,

10² = 8² + x²

100 = 64 + x²

100 - 64 = x²

36 = x²

x² =36

x = √36

x = 6

Therefore, the length of the leg is 6 feet.

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complete square = 100 square yards

 triangle = 1/2 x base x height = 1/2 x 10 x 5 = 25 square yards

100-25 = 75 square yards

shaded area = 75 square yards

When dividing 1 1/2 by 1/3, the quotient 4 1/2 indicates that each person receives half of a whole unit, which in our model is half of a pizza.

(a) To model the quotient 1 1/2 ÷ 1/3, imagine you have 1 1/2 units of something, like 1 1/2 pizzas. Now, if you divide each pizza into thirds, you'd have 3 halves of pizza. So, 1 1/2 pizzas divided by 1/3 pizza per person equals 4 people, each getting 1/2 of a pizza.

(b) The half in the quotient represents the portion of each whole unit (in this case, pizza) that each person receives. In our model, it signifies that each of the 4 people receives half of a pizza.

The probability that the player will make next free throw is obtained as 0.795.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The total number of free throws is 220.

And, the number of throws by the player is 175.

Now, the probability can be found as below,

P(free throws) = Throws by the Player ÷ Total throws

⇒ 175 ÷ 220 = 0.795

Hence, the probability for the next free throw can be estimated as 0.795.

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Answer:

Troy spent $9.09.

Step-by-step explanation:

Troy spent 20 Swiss Francs to stay one night in a youth hostel.

1 U.S. Dollar = 2.2 Swiss franc

We have to convert 20 Swiss franc to U.S. dollars.

So we divide 20 by 2.2 to convert Swiss franc to U.S. dollars.

= [tex]\frac{20}{2.2}[/tex] = 9.09090909 ≈ $9.09

Troy spent $9.09 to stay one night in a youth hostel.

I hope you got the idea

place the equation for g ( x^2-5) over the equation for f(4x+1)

 so you get

x^2-5/4x+1

B is the answer

To make [tex]\frac{3}{4}[/tex] of a nelly cream pie, you would need [tex]\frac{3}{10}[/tex] cup of cream. This calculation is done by multiplying [tex]\frac{2}{5}[/tex] cup (the amount required for a whole pie) by [tex]\frac{3}{4}[/tex].

To calculate the amount of cream needed for making [tex]\frac{3}{4}[/tex] of a nelly cream pie when the full pie requires [tex]\frac{2}{5}[/tex] cup of cream, we simply multiply these two fractions. To do this, first convert the mixed number [tex]\frac{3}{4}[/tex] to an improper fraction. We already have it in the proper format, so we can directly multiply:

([tex]\frac{2}{5}[/tex]) * ([tex]\frac{3}{4}[/tex]) = (2*3)÷(5*4)  = [tex]\frac{3}{10}[/tex]

Therefore, for [tex]\frac{3}{4}[/tex] of a nelly cream pie, you would need [tex]\frac{3}{10}[/tex] cup of cream.

To divide 0.6 by 0.0024 using long division, adjust the numbers to remove the decimals, becoming 6000 divided by 24. The result of this division is 250.

To solve the problem of long division, specifically for 0.6 ÷ 0.0024, you need to adjust both numbers to remove the decimal points before division. Start by shifting the decimal point in each number. In this case, shift the decimal for both numbers 4 places to the right, resulting in 6000 divided by 24.

So, it becomes a simpler division problem: 6000 ÷ 24. When you divide 6000 by 24, the result is 250.

Therefore, the result of 0.6 ÷ 0.0024 is 250.

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Answer: The answer is [tex]\cos \theta=\dfrac{\sqrt{7}}{4}.[/tex]

Step-by-step explanation:  Given that

[tex]\sin \theta=\dfrac{3}{4}[/tex] and [tex]\theta[/tex] is in Quadrant I.

We are to find the value of [tex]\cos \theta.[/tex]

We have the following trigonometric identity :

[tex]\sin^2\theta+\cos^2\theta=1\\\\\Rightarrow \cos^2\theta=1-\sin^2\theta\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\sin^2\theta}\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\left(\dfrac{3}{4}\right)^2}\\\\\\\Rightarrow \cos \theta=\pm\sqrt{1-\dfrac{9}{16}}\\\\\\\Rightarrow \cos \theta=\pm\sqrt{\dfrac{7}{16}}\\\\\\\Rightarrow \cos \theta=\pm\dfrac{\sqrt{7}}{4}.[/tex]

Since [tex]\theta[/tex] lies in the first quadrant, so cosine of [tex]\theta[/tex] will be positive.

Thus,

[tex]\cos \theta=\dfrac{\sqrt{7}}{4}.[/tex]