Find the domain and range of x + y = 1. Then determine whether it is a function.

To solve the problem, set up an equation based on the given information to find the amount of pure pineapple juice needed to obtain a 50% mixture.

To solve this problem, we need to set up an equation based on the given information.

Let x be the amount of pure pineapple juice to be added.

The initial amount of pineapple juice in the drink is 15% of 8 quarts, which is 0.15 * 8 = 1.2 quarts.

After adding x quarts of pure pineapple juice, the total volume of the mixture becomes 8 + x quarts.

Setting up the equation: 1.2 + x = 0.5 * (8 + x).

Solving for x gives the amount of pure pineapple juice needed to obtain a 50% mixture.

m<6.5 & m<3 I just solved it so I hope I helped answering that question

1.5 miles per minute is 90 mph.

Slowing down by 15 mph makes 75 mph.

Reduce speed by a third (25 mph) and that makes 50 mph.

Answer:

We are moving at 50 mph

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

The first thing we need to do in order to solve this problem is change the initial speed into mph.

[tex]\frac{1.5mi}{1min} * 60min =  \frac{90mi}{hour}[/tex]

Now we subtract the initial speed by 15 mph.

[tex]\frac{90mi}{hour} - \frac{15mi}{hour} = \frac{75mi}{hour}[/tex]

Finally, we need to reduce the current speed by 1/3, this means that the final speed is 2/3 of the current speed. We can calculate this by multiplying the current speed by 2/3 like so,

[tex]\frac{75mi}{hour} * \frac{2}{3} = \frac{50mi}{hour}[/tex]

Finally, we can see that we are moving at 50 mph

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

To find out how many miles Carlee rode, you need to divide the distance Brandon rode (58.5 miles) by 0.9 (representing 90%). The result is that Carlee rode 65 miles.

The problem requires you to determine the distance that Carlee biked based on the information provided. Given that Brandon rode his bike 90% of the distance Carlee did, and he rode 58.5 miles, to calculate the distance Carlee traveled, you would divide the distance Brandon rode by 0.9 (which represents 90%).

So, the calculation would be: 58.5 ÷ 0.9 = 65.

Therefore, Carlee must have biked 65 miles in total given the information provided.

https://brainly.com/question/32197511

#SPJ12

The amount of raisins at the beginning is 43/8 pounds.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

3/8 of his supply of raisins to make regular trail mix and 1/4 of his supply to make spicy trail mix.

Clint uses 20 pounds of raisins

amount of raisin at the begining

= 1/4 x 20 + 3/8

= 5 + 3/8

= 40/8 + 3/8

= 43/8 pounds

Hence, the amount of raisins at the beginning is 43/8 pounds.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

Answer: 3÷ 5 5/8 = 3/1 x 45/8 = 135 /8 = 16 7/85 5/8 ÷ 3 = 45/8 x 1/3 = YOUR TRY

Step-by-step explanation:

Answer: -3

A. On E 2020

Step-by-step explanation:

To solve x/6 - x/7 = ab, find the common denominator, simplify, and then isolate x by multiplying both sides of the equation by the common denominator. The solution is x = 42ab. Always check your answer to ensure it satisfies the original equation.

To solve the equation x/6 - x/7 = ab, one must find a common denominator for the fractions. In this case, the common denominator is 42 because 6 and 7 are both factors of 42. By converting both fractions to have the denominator of 42, we have:(7x/42) - (6x/42) = ab

This simplifies to x/42 = ab, since 7x - 6x is x. Now, multiply both sides by 42 to get x = 42ab.

If we want to solve the equation for a variable other than x, such as y, we might need to return b to denominator status, which implies that we need to divide both sides by b if b represents a multiplication factor for y.

It's also important to confirm that our manipulations haven't altered the value of the equation, which can be done by checking the answer at the end to ensure it is reasonable and satisfies the original equation.

Final answer:

The minimum cost combination of film production employees is 12 technical crew members and 24 support staff members, with a minimum feasible cost of $420,000.

Explanation:

To determine the combination of employees that will minimize the cost, let's set up variables for technical crew members (T) and support staff members (S).

The pay scales are $15,000 for each technical crew member (T) and $10,000 for each support staff member (S).

The objective is to minimize the cost C, where C = 15,000T + 10,000S.

From the constraints provided:

To minimize the cost while satisfying all constraints, we should aim to hire as few technical crew members as possible, given they are more expensive.

If T = 12 (the minimum), we can solve for S using T ≥ 0.5S, which gives us S ≥ 24.

However, S must be even due to the constraint T ≥ 0.5S and hence we can set S = 24 as a candidate solution, resulting in the minimum number of employees (12 + 24 = 36).

We also need to ensure that S ≤ 2T to satisfy the condition T ≥ 0.5S; with T = 12, the maximum S can be is 24.

The minimum feasible cost is determined by plugging T = 12 and S = 24 into the cost equation:

C = 15,000(12) + 10,000(24) = 180,000 + 240,000 = $420,000.

To express 0.000000298 as a single digit times a power of ten, we can represent it as 2.98 x 10^-8 and round it to the nearest ten millionth.

To express 0.000000298 as a single digit times a power of ten, we can find the appropriate exponent by counting the number of places the decimal point needs to move to have one digit to the left of the decimal point.

In this case, the decimal point needs to move 8 places to the right.

So, 0.000000298 can be written as 2.98 x 10-8.

Rounded to the nearest ten millionth, 2.98 x 10-8 becomes 0.00000003.

Answer:

70

Step-by-step explanation:

10*7=70

Answer:

Option A is correct.

[tex]15x-5y=1[/tex]

Step-by-step explanation:

The standard of any equation is in the form of:

[tex]Ax+By = C[/tex]

Given the equation: [tex]y+\frac{1}{5} = 3x[/tex]

Multiply both sides by 5 we get;

[tex]5y+1 = 15x[/tex]

Subtract 5y from both sides we get;

[tex]1 = 15x-5y[/tex]

or

[tex]15x-5y=1[/tex]

Therefore, the equation [tex]y+\frac{1}{5} = 3x[/tex] in standard form is [tex]15x-5y=1[/tex]

Answer: 15x−5y=1

Step-by-step explanation:

The term 'perfect trios' as a whole number is not a standard mathematical term, but it may refer to something like Pythagorean triples, which are sets of three positive integers that satisfy the equation a² + b² = c². Without additional context, the term remains unclear.

The term "perfect trios" is not a standard mathematical term, so it is a bit unclear what it refers to. It may be a term used in a specific textbook or class to refer to a certain type of number trio or to phenomena in physics or another field. However, in mathematics, we can talk about perfect numbers, which are positive integers that are equal to the sum of their proper divisors (excluding the number itself). Additionally, we may consider Pythagorean triples, which are sets of three positive integers a, b, and c, such that a² + b² = c². These are special cases of perfect squares and can be considered when discussing whole number trios in a mathematical sense.

Without more context, we can assume that 'perfect trios' might be an informal term for sets of three numbers that have some special property, such as those that make up a Pythagorean triple.

For example, the Pythagorean triple (3, 4, 5) is well-known because 3² + 4² = 5². Similarly, (5, 12, 13) is another Pythagorean triple as 5² + 12² = 13².