Which option is the simplified version

The equation will be (2w ,+ 3) + (w + 2) + (3w + 4) = 600

The ratio in lowest term will be 2:1:3

When they donate $50, the ratio will be 1:4.

a. The equation based on the information will be:

(2w + 3) + (w + 2) + (3w + 4) = 600

6w + 9 = 600

6w = 600 - 9

6w = 591

Divide

w = 591/6

w = 98.5

b. Therefore, (2w + 3) = 2×98.5 + 3 = 200

(w + 2) = 98.5 + 2 = 100.5

(3w + 4) = 3(98.5) + 4 = 299.5

The ratio in lowest term will be 2:1:3.

c. When they donate $50, the ratio will be:

= (50 × 3)/600

= 150/600

= 1:4

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The type of transformation that preserves the symmetry is Vertical translation.

For instance, a parabola is still symmetric about the y-axis if you move it up. It loses its symmetry if you move it to the left or right. Reflection keeps both even and odd functions symmetrical.

The symmetry of a function is described using the terms even and odd. On a graph, an even function is symmetric about the y-axis. An odd function has symmetric behavior around a graph's origin [tex](0, 0)[/tex]. This means that if you rotate an odd function 180 degrees around the origin, the function you started with will still exist.

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4/3 cups of margarine will he need to make 4 batches of dog biscuits.

A fraction is a piece of the entire. The number is shown as a quotient in mathematics, in which the numerator and denominator are split. Both are integers in a straightforward fraction. The numerator, as well as the denominator of a complex fraction, as well as the denominator of a complex portion, is a fraction.

Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The inverses of corresponding positive numbers, which are additive, are the negative numbers. The blackboard bold math b Z or boldface Z is a common way to represent the set of integers in mathematical terminology.

There are four batches of dog biscuits.

Making a batch requires 1/3 cup of margarine.

As we can see that for 1 batch of dog biscuits required 1/3 cup of margarine.

So to make 4 batches of dog biscuits:

= (1/3)*4

= 4/3

4/3 cups of margarine will he need to make 4 batches of dog biscuits.

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It can be determined that a relation represented as an equation is a function if and only if for each value on x-axis, there is a corresponding value on Y-axis.

which also signifies that for each value of x , there is a value of y which exists and is real.

A function is a mapping from one set to another such that nothing in the first set is mapped to more than one thing in the second set.

Or in simple words if there is no corresponding value of y for any x, then that is not a function.

For example,

[tex]x^{2} +y^{2}[/tex]=1

when the value of x is 0 , then value of y is 1 or -1, Thus, it will not be a function.

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Translating the given word problem into a set of linear equations, Mariana's age is 15 years old.

Translate the given word problem into algebraic equations.

Let x be Mariana's age

Let y be Yaritza's age

Mariana is younger than Yaritza, their ages are consecutive odd integers.

Since the difference of  consecutive odd integers is 2, then:

y = x + 2  ....... (1)

Sum of Mariana's age and 5 times Yaritza's age is 100.

x + 5y = 100   ..... (2)

Substitute equation (1) to equation (2)

x + 5y = 100

x + 5(x+2) = 100

6x + 10 = 100

6x = 90

x = 15

Thus, Mariana's age is 15 years old.

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Answer:

15

Step-by-step explanation:

i just got it right on delta

Answer:

hindi kasi ka nag aaral hhahhaha

Answer: the first option i believe

Step-by-step explanation:

An integer to represent the change in the worker position is -78

Hence, An integer to represent the change in the worker position is -78

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Banks are known to carry out different functions. The common financial service called savings.

Financial services is known to be a very wide term that comprises of all of the activities such as banking, investing, and insurance.

Financial services by banks includes savings, investment, etc. Savings is thee process whereby bank helps to keep the money of its customers. It is known to be the most common services offered by banks.

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Answer:

S(-3,7)

Step-by-step explanation:

Rise/Run

M(1,4) R(5,1)

1+run=5        4+rise=1

run=4              rise= -3

1-4= -3       4+3=7

The perimeter of the triangle is 4.5inches.

Equilateral Triangle : can be defined as a triangle having all three sides equal.

Perimeter of triangle is defined as the sum of the lengths of the three side.

Perimeter of triangle is denoted by 3x(side).

Given that the side of the triangle is 1.5 inches

Perimeter = 3x(1.5)

Perimeter=4.5 inches

Therefore , The Perimeter of the triangle is 4.5 inches .

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Number of ways that the three gift certificates can be awarded = 13800 ways

There are a total of 25 people attended the charity benefit. There are three gift certificates: one gift certificate is in the amount of $100, the second is worth $25 and the third is worth $10.

Assume that no person receives more than one prize.

One of the 25 people can get gift certificate of $100.

⇒ 25 ways for $100 gift certificate.

Then remaining 24 people are considered for further counting.

One of the 24 people can get gift certificate of $25.

⇒ 24 ways for $25 gift certificate.

Now there are 23 people remained.

One of the 23 people can get the $10 gift certificate.

⇒ 23 ways for $10 gift certificate.

Therefore, Number of ways that the three gift certificates can be awarded = 25 x 24 x 23 = 13800 ways.

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Considering the concepts of the mean and the standard deviation, we have that:

When the measure of 84 is added, we have that:

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Answer:

X=10

Step-by-step explanation:

-20=4x-6x

4x-6x=-20

[tex]\frac{-2x}{-2} =\frac{-20}{-2}[/tex]

X=10

Answer:

x = 10

Step-by-step explanation:

STEPS FOR SOLVING LINEAR EQUATION

−20=4x−6x

Combine 4x and −6x to get −2x.

−20=−2x

Swap sides so that all variable terms are on the left hand side.

−2x=−20

Divide both sides by −2.

x=

−2

−20

​

Divide −20 by −2 to get 10.

x=10

The lengths 9, 9 / 2 and 9√3 are not part of a 30 - 60 - 90 right triangles. (Correct choice: A)

Herein we must find what set of lengths are part of a 30 - 60 - 90 right triangle. In accordance with the Euclidean geometry, there are the following relationships for the sides of the 30 - 60 - 90 right triangle:

Now we proceed to check if each set of sides belongs to a 30 - 60 - 90 right triangle:

Case 1

The length of the shortest leg of the triangle is 9 / 2, then the lengths of the longest leg and the hypotenuse are 9√3 / 2 and 9, respectively. (False)

Case 2

The length of the shortest leg of the triangle is 4, then the lengths of the longest leg and the hypotenuse are 4√3 and 8, respectively. (True)

Case 3

The length of the shortest leg of the triangle is 7, then the lengths of the longest leg and the hypotenuse are 7√3 and 14, respectively. (True)

Case 4

The length of the shortest leg of the triangle is 5 / 3, then the lengths of the longest leg and the hypotenuse are 5√3 / 3 and 10 / 3, respectively. (True)

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The graph of Linear Equation is always a straight line .

The average number of hours the family had the television set on is 3 hours.

The average of a set of numbers is calculated by adding the numbers together and dividing it by the total number. Average is also known as mean. Average is a measure of central tendency. Other measures of central tendency are mode and median.

Average = sum of the numbers / total number

Average = (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =

19 / 7 = 2.714 hours

To round off a number to the nearest whole number, if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.

Because the tenth digit in 2.714 is greater than 5, the number becomes 3 hours.

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Answer:

A. y≤2x²-8x+3

Step-by-step explanation:

If you graph the function y≤2x²-8x+3, you would see that these both match.

The inequality y ≤ 2x² - 8x + 3 represents the given graph.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Here, The y-intercept is 3, not -3, so answer C is eliminated

Choose a point that is clearly in the shaded area or one that is clearly in the unshaded region

Here, I choose the point (0, 0) and substituted these values in the equation and since 0 < 3,

Option A is the correct answer

Thus, the inequality y ≤ 2x² - 8x + 3 represents the given graph.

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 The random sample proportion.

Probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

at 90% confidence interval: The Central 90% of any normal   distribution is: Z_(α/2) = 1.960

 Error = E = ±5% = ±0.05

Applying the normal  Probability distribution

= 0.70 ≤ P≤  0.77(this means that we are 90% confident that the true proportion of jet with wiring problem fall with 0.70 and 0.77, hence there is no need for the airline to conduct further sampling, rather, they should just inspect all the planes)

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Explanatory variable: The type of pill the men took each day.

Response variable: Whether a subject had a heart attack.

We have been given that :

Participated candidates are 400

Men are divided randomly so we find out explanatory and response  variable.

The explanatory variable is the variable that is manipulated by the researcher. Explanatory Variable also known as the independent or predictor variable, it explains variations in the response variable; in an experimental study, it is manipulated by the researcher.

Response variable: Response Variable is the result of the experiment where the explanatory variable is manipulated. It is a factor whose variation is explained by the other factors. Response Variable is often referred to as the Dependent Variable or the Outcome Variable.

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The given conditions to write an equation for the line passing through (−9,2) and parallel to the line whose equation is y = −3x+ 2.

There are many different methods to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically include one or more variables.

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

[tex]$$We have the equation of a parallel line and a point which it passes through. To write the equation of the line in point-slope form, we will use the following formula:y−y1=m(x−x1)We know that the slope of parallel lines are same and we are given the equation for parallel line, y=−3x+2$$[/tex]

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When it skins photos at a consistent rate, the number of photos in 21 minutes will be 1323 photos.

From the information, it should be noted that the skin on skin 63 photos in a minute.

Therefore, the number of photos that can be skinned at a particular minutes will be illustrated as:

p = 63m

where p = number of photos

m = number of minutes

Therefore, it should be noted that using p = 63m. The appropriate number of photos will be:

p = 63m

p = 63 × 21

p = 1323 photos

Therefore, when it skins photos at a consistent rate, the number of photos in 21 minutes will be 1323 photos.

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The surface area of the prism is 200 cm².

The surface area of the prism is given by the formula:

Surface area (S) = 2 B + p h

where B is the area of base of prism

p = perimeter of base

h = height of the prism.

Perimeter = 2(5 + 3) cm

p = 16 cm

B = 5 cm × 4 cm = 20 cm²

h = 10 cm

Substituting it in the formula, we get that:

S = 2 B + p h

S = 2 (20) + (16) (10)

S = 40 + 160

S = 200 cm²

Therefore, we get that, the surface area of the prism is 200 cm².

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Answer:

The correct is the 9100πx

Answer: 5.5 inches

Step-by-step explanation:

       Using the formula for the area of a square, we can plug the known values in and solve.

a = x²

30 = x²

[tex]\sqrt{30 } =\sqrt{x^2}[/tex]

[tex]\sqrt{30 }[/tex] = x

5.477 ≈ x

       Now, we will round to the nearest tenth.

5.477 ≈ 5.5 inches

Answer:

12

Step-by-step explanation:

You have a right triangle, so use the Pythagorean theorem.

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = 12

The measure of the supplementary angles are 48° and 132°.

Let the measure angle be x.

Its supplementary angle will be x + 84

We know that the sum of supplementary angles is 180°.

So, we get the equation as:

x + x + 84 = 180

Combining the like terms, we get that:

2 x + 84 = 180

Subtract 84 from both sides, we get that:

2 x = 180 - 84

2 x = 96

Divide both sides by 2, we get that:

x = 96 / 2

x = 48°

x + 84 = 48+ 84 = 132°

Therefore, we get that, the measure of the supplementary angles are 48° and 132°.

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The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.

In geometry, a triangle is defined as the shape which has three sides and also has three angles. We can say that a triangle is a type of polygon with three sides and three vertex. Triangle follows angle sum theorem.

According to triangle Angle Sum theorem, the measurement of the sum of all interior angles of a triangle is always equals to 180°. That means, For a given triangle say ΔABC if ∠A, ∠B and ∠C are the interior angles then their sum i.e. ∠A + ∠B + ∠C = 180°.

Some important formula of triangles:

In the question given,

the equation of line is y=2

The Hugo's error is that , he did the translation incorrectly. He should have translated triangle by 3 unit right and then 1 unit up.

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The complete question is :

Hugo grapes triangle PQR and (Rt*T<3,1>)(Δ PQR), where the equation of the line t is y=2, made exactly one error. Explain Hugo’s error.