Need help with Equations with Fractions - URGENT!!!!

Three lots with parallel side boundaries extend from the avenue to the boulevard.

x + y + z = 140 meters

According to the proportion theorem,

Solving for x, using cross multiplication:

Similarly,

x/40 = z/35

solving for z by cross multiplication,

z = 35x/40

z = 7x/8

Now, the third proportions,

y/30 = z/35

Solving for y,

y = 30z/35

y = 6z/7

x + y + z = 140

4y/3 + 6z/7 +  7x/8 = 140

(224y + 144z + 147x)/168 = 140

224y + 144z + 147x = 23520

Substituting z = 7x/8,

224y + (144 × 7x/8) + 147x = 23520

224y + 126x + 147x = 23520

224y + 273x = 23520

Now,

Substitute y = 3x/4

(224×3x/4) + 273x = 23520

168x + 273x = 23520

441x = 23520

x = 53.33

Now,

We know that

y = 3x/4

so,

y = 40

And,

z = 7x/8

Z = 46.66

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The sales revenue needed to break even for Belle Corp. is $500,000. This revenue will cover the fixed costs of $100,000 and the variable costs of $40 per unit, leaving a contribution margin of $10 per unit towards the break-even point.

To calculate the sales revenue needed to break even, we need to consider the fixed costs and the contribution margin per unit. The contribution margin per unit is the selling price per unit minus the variable cost per unit.

In this case, the selling price per unit is $50, and the variable cost per unit is $40. Therefore, the contribution margin per unit is $50 - $40 = $10.

To break even, the total contribution margin must cover the fixed costs of $100,000. The number of units needed to cover the fixed costs can be calculated by dividing the fixed costs by the contribution margin per unit:

Break-even point (in units) = Fixed costs / Contribution margin per unit

                          = $100,000 / $10

                          = 10,000 units

Finally, to calculate the sales revenue needed to break even, we multiply the break-even point (in units) by the selling price per unit:

Sales revenue needed to break even = Break-even point (in units) * Selling price per unit

                                  = 10,000 units * $50

                                  = $500,000

Therefore, the sales revenue needed to break even is $500,000.

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Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x =  − 80 /3

Decimal Form:

x = −  26.  ¯

            6

Mixed Number Form:

x = − 26  2

          ----

           3

Step-by-step explanation:

To find the volume of each can, use the volume of a cylinder formula

volume = pi r^2 h

Here is the firt one.....you can do the rest I am sure:

volume = pi * 2.5^2 * 6 = 117.8  in^2

The equivalent value of m is given by the expression m = 1

Given data ,

We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.

So, we have:

(-3)^(m+1) × (-3)⁵ = (-3)⁷

Using the property of exponents, we can add the exponents on the left-hand side:

(-3)^(m+1+5) = (-3)⁷

Simplifying the exponents on the left-hand side:

(-3)^(m+6) = (-3)⁷

We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:

m + 6 = 7

Subtracting 6 from both sides:

m = 1

Hence , m = 1 is the value that satisfies the equation

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Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

Answer:

2.18 radians

Step-by-step explanation:

125/360=x/2π

2.18 radians

The requried length of the line segment on number line SU is 25 units.

To find the length of the line segment SU, we need to subtract the coordinates of S from the coordinates of U and take the absolute value. So we have:

|SU| = |U - S| = |10 - (-15)| = |25| = 25

Therefore, the length of the line segment on number line SU is 25 units.

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Using properties of exponents, the simplified expression for 5³ x 5^(-5) is given by:

A. 1/(5²).

The exponent property applied to multiply the terms with the same base but different exponents is that we keep the bases and then add the exponents.

For this problem, the expression is given as follows:

5³ x 5^(-5)

Hence:

Adding the exponents, we have that:

3 + (- 5) = 3 - 5 = -2.

Hence the simplified expression is:

5³ x 5^(-5) = 5^(-2).

When a number has a negative exponent, we can move it to the denominator, then the exponent becomes positive, hence:

5^(-2) = (1/5)² = 1/5² = 1/25.

Meaning that option A is correct.

The expression in this problem is 5³ x 5^(-5), and the correct options are given by the image at the end of the answer.

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Its the first one, because x wont be affected, and 1 and -3 is a constant.

Answer:

700

Step-by-step explanation:

The ratio of cats to dogs was 3:7

Divide 300 by 3

=100

multiply 100 and 7

=700

Step-by-step explanation:

let common ratio be x

3x + 7x = 300

10 x = 300

x = 300/10= 30

there common ratio x is 30

3 x 30 =90 cats

7 x 30 = 210 dogs

Answer:

$25.50

Step-by-step explanation:

We need to find 30% of 85:

30%*85

Convert 30% to a fraction to make the math easier:

\(\frac{30}{100}*85=\frac{3}{10}*85=25.5\)

She tipped the waiter $25.50

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

ur momjejwjejdjfjcjjjde

Answer: LOL YOUR PROFILE PICTURE

Step-by-step explanation:

Answer:

BE, BD, BC, BA

Step-by-step explanation:

A solution that does not simultaneously satisfy all constraints is called an infeasible solution.

Option (C) is correct.

What is linear programming?

Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.

In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.

Minimize z = 200x1 + 300x2

subject to

2x1 + 3x2 ≥ 1200

x1 + x2 ≤ 400

2x1 + 1.5x2 ≥ 900

x1, x2 ≥ 0

The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.

Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

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Answer:

g(-3) = 16

Step-by-step explanation:

To find g(-3), we need to plus -3 into the given function. So, g(-3) = |2(-3) - 10|. Now we solve using PEMDAS. Two times -3 is -6, then we have g(-3) = |-6-10| which is essentially g(-3) = |-16|. Lastly, we take the absolute value of |-16| which is just 16, therefore g(-3) = 16.

Answer:

with what???

Step-by-step explanation:

Amino acids

Step-by-step explanation:

In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.

Fauvist artists extended the visual vocabulary of Post-Impressionism by making their primary subject matter Color

Fauvist artists, a group of early 20th-century painters, indeed extended the visual vocabulary of Post-Impressionism primarily through their innovative use of color. The Fauvist movement emerged in France in the early 1900s and was characterized by bold, vibrant colors and expressive brushwork.

Prior to the Fauvists, Post-Impressionist painters, such as Vincent van Gogh and Paul Cézanne, had already begun to break away from the naturalistic color palette of Impressionism. They explored new ways of using color to convey emotion and form, but it was the Fauvists who took this exploration to new levels.

Fauvist artists, including Henri Matisse, André Derain, and Raoul Dufy, embraced intense, non-naturalistic colors. They used bold, contrasting hues that were often unrelated to the actual appearance of their subjects. This departure from traditional color usage was a radical departure from the subdued, more subdued palettes of earlier movements.

By focusing on color as their primary subject matter, the Fauvists aimed to evoke powerful emotional responses from the viewers. They believed that color had the ability to express emotions and convey meaning on its own, without being limited to realistic representations of objects. Instead of relying on naturalistic color schemes, they used vivid and arbitrary colors to create a sense of energy and vitality.

The Fauvists also liberated color from its traditional role as a means to depict light and shadow. They applied colors freely and spontaneously, often using broad brushstrokes, without concern for accurate representation. This allowed them to create highly expressive and subjective interpretations of their subjects, whether they were landscapes, portraits, or still lifes.

In summary, Fauvist artists extended the visual vocabulary of Post-Impressionism primarily through their revolutionary use of color. By breaking away from the naturalistic color palette and embracing bold, vibrant hues, they explored the expressive potential of color itself, going beyond traditional notions of representation. Their approach opened up new avenues for artistic expression and paved the way for further experiments in color by future generations of artists.

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To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

\(a^2 + b^2 = c^2\)

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

\(a^2 + b^2 = c^2\),

where; a and b are the legs of the triangle and c is the hypotenuse.

\(13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120\)

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

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Answer:

Total stamps = 240

ratio= 3:8

3x + 8x = 240

11x = 240

x = 240/11 = 21.8

then, callum's stamps = 3x = 3 * 21.8 = 65.4

Isabel's stamps = 8x = 8 * 21.8 = 174.4

After buying the stamps,

ratio = 3:2

callum's stamps = 3x

Isabel's stamps = 2x

= 3x + 2x = 240

5 x = 240

x = 240/5 = 48

callum's stamps = 3x = 3 * 48 = 144

Isabel's stamps = 2x = 2 * 48 = 96

no. if stamps bought by calling = 144 - 65.4 = 78.6 stamps

hope it helps you

Answer: b

Step-by-step explanation:

Answer:

A: the solution set includes all values of x greater than -8 and less than 9

Step-by-step explanation:

In order to figure out what the solution set is, we have to isolate the x in the middle of the inequality. To do that, we have to subtract each aspect of the inequality by 8, which is the constant in the middle (just like we would do to isolate a variable in an equation):

\(0-8 < 8+x-8 < 17-8\\-8 < x < 9\)

Now that we have simplified the inequality, we see that x has to be greater than -8 and less than 9. So, the solution set includes all values of x greater than -8 and less than 9. In other words, the answer is A

Hugo's normal rate of pay is £9.00 per hour, and his overtime rate of pay is 1 1/3 times his hourly rate, which is equivalent to £12.00 per hour. If Hugo works overtime, he would earn £12.00 per hour.

The problem states that Hugo's normal rate of pay is £9.00 per hour. This means that he earns £9.00 for every hour that he works.

The problem also states that Hugo's overtime rate of pay is 1 1/3 times his hourly rate. To find out how much he earns per hour when working overtime, we need to multiply his hourly rate by 1 1/3.

To multiply a fraction by a whole number, we first convert the whole number to a fraction with a denominator of 1. In this case, the whole number is 1, and we can write it as 1/1.

To multiply 1 1/3 by £9.00, we first convert 1 to a fraction with a denominator of 3:

1 = 3/3

So, 1 1/3 can be written as:

1 1/3 = 3/3 + 1/3 = 4/3

To multiply 4/3 by £9.00, we simply multiply the numerators and denominators:

4/3 * £9.00 = (4 * £9.00) / 3 = £12.00

Therefore, Hugo's overtime rate of pay is £12.00 per hour, which is 1 1/3 times his normal hourly rate of £9.00.

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Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

\(9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)\)

Hope this helps!

You have the following expression:

In order to express the previous number as an expression with the imaginary unit, you consider the following:

where the square root of -1 is the imaginary unit i by definition. Thus, by replacing you obtain:

Hence, the given expression in terms of the imaginary unit is :

Answer:

there is no answer, absolute value always > 0

Answer:

slope = -1/3

Step-by-step explanation:

You can see that the line is negative. Using the rise/run method, you see that -1/3 is the slope.

Answer: Yes

Step-by-step explanation:

We don't know the value of n and you are subtracting it from both sides.