Which proportion can you use to derive the equation of the line? (4 questions in picture 2)

After the linear equation method the answer is 6 Zoomas and 5 Popsies.

What is an linear equation?

Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.

There is a linear equation in one variable and a linear equation in two variables.

It is given that there are two types of alien live on the planet Starlight Zoomas and Popsies.

Zoomas have 3 eyes and 2 legs

Popsies have 4 eyes and 5 legs

There are total 38 eyes and 37 legs

Let there are x number of Zoomas and y number of Popsies.

According to question:

3x + 4y = 38 ..........(1)

2x + 5y = 37 ...............(2)

Solve the above system of equation.

Find the value of x from the equation(1)

3x + 4y = 38

3x = 38 - 4y

x = [tex]\frac{38-4y}{3}[/tex]

Substitute this value of x in equation(2)

2( [tex]\frac{38-4y}{3}[/tex]) + 5y = 37

⇒ [tex]\frac{76-8y}{3}+5y = 37[/tex]

⇒ [tex]\frac{76-8y+15y}{3}=37[/tex]

⇒ 76 + 7y = 111

⇒ 7y = 111 - 76

⇒ 7y = 35

⇒ y = 35/7 = 5

Substitute this value of y in the value of x

x = [tex]\frac{38-4y}{3}[/tex]

x = [tex]\frac{38-4(5)}{3}=\frac{38-20}{3}=\frac{18}{3}=6[/tex]

Therefore, there are 6 Zoomas and 5 Popsies.

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Van Dressler's total sales amount is $12,166.6666667

What is sales amount ?

A sale is a deal in which two or more parties exchange goods or services for cash or other assets. A sale in the financial markets is an arrangement between a buyer and a seller that covers the cost of a security and its delivery for predetermined payment.Before any expenditures are taken into account, revenue is the whole amount of income that a business earns from its main operations. Sales are the money that a business makes through offering its clients products or services.

3% = $365

365/3*100 =$12,166.6666667

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Answer:

B. x = 5 +i√5  and    x = 5 - i√5

Step-by-step explanation:

Answer:

I think you times both numbers

Step-by-step explanation:

time both number s

Answer: A. No, because two points with the same x-value have different y values.

Step-by-step explanation: A function is a relation in which each element in the domain (the set of x-values) is paired with exactly one element in the range (the set of y-values). If there are two points with the same x-value but different y-values, then there is more than one y-value for a given x-value, which violates the definition of a function. Therefore, the given relation is not a function.

The two column proof to show that m∠G + m∠K + m∠GHK = 180° is as detailed below.

A two-column proof is basically a geometric proof that consists of a list of statements, and the reasons for which those statements are true. The two column proof in this regard are;

Statement 1: GH║HJ

Reason 1: Given

Statement 2: ∠G ≅ ∠IHJ

Reason 2: Corresponding angles theorem

Statement 3: ∠K ≅ ∠JHK

Reason 3: Alternate Interior angles theorem

Statement 4: m∠IHK ≅ M∠IHJ + m∠JHK

Reason 4: Additive property of angle measure

Statement 5: m∠IHK ≅ m∠G + m∠K

Reason 5: Substitution property

Statement 6: m∠IHK + m∠GHK = 180°

Reason 6: Angles forming a linear pair sum to 180°

Statement 7: m∠G + m∠K + m∠GHK = 180°

Reason 7: Substitution

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Answer:

n = p+3q

Step-by-step explanation:

2^p x 8^q = 2^n

Exponent rules

Rewriting 8 as 2^3

2^p x 2^3^q = 2^n

Using the rule a^b^c = a^(b*c)

2^p x 2^3q = 2^n

Using the rule a^b * a^c = a^(b+c)

2 ^(p+3q) = 2^n

Since the bases are the same, the exponents are the same

p+3q = n

Answer:

[tex] \sf \: p + 3q = n[/tex]

Step-by-step explanation:

[tex]2^p*8^q=2^n[/tex]

First, write 8^q as a power of 2.

[tex]2^p*8^q=2^n\\2^p*2^3^q=2^n[/tex]

As all the bases are same, exponents are also equal.

Now add the powers.

∴ p + 3q = n

The system of inequality that represents the weekly constraints on assembly and painting is;

5x + 4y ≤ 180

2x + 3y ≤ 135

We are told that;

x represents the number of Racing bikes.

y represents the number of Recreational bikes

It takes one person 5 hours to assemble a Racing bike and 2 hours to finish painting it.

It takes one person 4 hours to assemble a Recreational bike and 3 hours to finish painting it.

Assembly can take no more than 180 hours throughout the week. This means ≤ 180

Painting can take no more than 135 hours hours per week. This means ≤ 135. Thus, the inequalities are;

5x + 4y ≤ 180

2x + 3y ≤ 135

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Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage. Math percentile is a related topic.

As a result:

10% of people identify as left-handed.

P(left-handed) = 0.1 is the probability of success.

Selection number (n) equals six

The number of left hands in the selection (x) is precisely 2 P(6, 2) = 6C2 * 0.1 * (1 - 0.1) (6-2)

P(6, 2) = 15 * 0.01 * 0.6561\P(6, 2)

= 0.098415

Given that 10% of people are left-handed, the likelihood that there will be exactly 2 left-handed individuals is 0.098415. if a random selection of 7 people is made.

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The features of each function shown on Cartesian plane:

Function 1: Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3, y = - 2 · x + 7

Function 2: Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2, y = (5 / 9) · x² - 2

In this question we must the determine the domain and the range of each of two functions. The set of elements for the domain corresponds to the horizontal axis of the Cartesian plane, represented by variable x, while the vertical axis corresponds to the vertical axis of that plane, represented by variable y.

Now we proceed to determine the domain and the range of each function:

Function 1

Domain: 2 ≤ x < 3, Range: 1 < y ≤ 3

The definition of the function is:

3 = 2 · m + b

2 = 2.5 · m + b

(m, b) = (- 2, 7)

y = - 2 · x + 7

Function 2

Domain: - 4 ≤ x < 4, Range: - 4 ≤ y < - 2

The definition of the function is:

y + 2 = C · x²

3 + 2 = C · 3²

5 = 9 · C

C = 5 / 9

y + 2 = (5 / 9) · x²

y = (5 / 9) · x² - 2

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Because when two linear equations graph this very same line, a system of two linear simultaneous equations variables cannot be solved.

A linear equation seems to be an algebraic equation of something like the form y=mx+b, where m is the slope as well as b is the y-intercept, and only a constant and an initial-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

2x+6y=-28       (i)

x + 3y = -14      (ii)

Subtract 3y from both sides of the equation(ii)

[tex]\begin{matrix}&x=-14-3y\\&2x+6y=-28\\\end{matrix}[/tex]

Replace all occurrences of x with -14-3y in each equation.

Replace all occurrences of x in 2x+6y=-28 with -14-3y.

[tex]\begin{matrix}&2(-14-3y)+6y=-28\\&x=-14-3y\\\end{matrix}[/tex]

Simplify the left side.

Simplify 2(-14-3y)+6y.

[tex]\begin{matrix}&\ -28=-28\\&x=-14-3y\\\end{matrix}[/tex]

Remove any equations from the system that are always true.

[tex]x=-14-3 y[/tex]

there is no solution for the given equation.

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The rate of change of base is 5 cm/min.

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity.

Let us assume that

h = height of the triangle

[tex]\frac{dh}{dt}[/tex] = rate of increase of height = 1 cm/min

A = Area of triangle

[tex]\frac{dA}{dt}[/tex] = rate of increase of area = 13 cm²/min

Area of traingle, A = 1/2*(b*h)

When A = 12 cm² and h = 4 cm,

Put in above formula,

12 = 1/2 * (b)(4)

∴ b = 6 cm

A = 1/2 * b*h

[tex]\frac{dA}{dT} = \frac{1}{2}h\frac{db}{dt} + \frac{1}{2}b\frac{dh}{dt} \\\\13 = \frac{1}{2}*4* \frac{db}{dt} + \frac{1}{2}*6*1\\\frac{db}{dt} = 5 cm/min[/tex]

Thus, rate of change of base is 5 cm/min.

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Answer:

x=8

y=-1

Step-by-step explanation:

The coordinates of the point P that is 2/5 of the way from A to B are:

P = (-5.6, 11,2)

If we want to find a point that is 2/5 of the way between two points (x₁, y₁) and (x₂, y₂), then we need to use the formula:

( (3/5)x₁ + (2/5)x₂,  (3/5)y₁ + (2/5)y₂)

Here the two points are (-8, -2) and (6, 19), using the above formula we will get the point P:

P = ( (3/5)*-8 + (2/5)*-2,  (3/5)*6 + (2/5)*19)

P = (-5.6, 11,2)

These are the coordinates of the point P.

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If a Triangle ΔABC has a perimeter of 38 and AC≅DC as well as BD≅BA than the side DC can be measures as CD=38-AB-BC if AB and BC are given.

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

In the case of a triangle, the perimeter will be the sum of all the three sides. If a triangle has three sides a, b and c, then, Perimeter, P = a + b +c

As the perimeter of a triangle ABC is

Perimeter=AB+BC+CA

And we are given with only the perimeter of triangle;

P=38m

Now;

As given condition is;

AB=BD, AC=CD So;

38=AB+BC+CD

And

CD=38-AB-BC

If then length of the sides of AB and BC are provided we can calculate the value of CD

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(a) The fraction for the given percentage is 3% = 3/100 and its decimal number is 0.03.

(b) The fraction for the given percentage is 15% = 15/100 = 3/20 and its decimal number is 0.15.

Here the fractions 15/100 and 3/20 are equivalents.

Two fractions whose numerators and denominators are different but whose value is the same are said to be equivalent fractions.

For example, a/b = k and c/d = k. Then a/b = c/d.

The fractions a/b and c/d are equivalent fractions.

Given percentages are 3% and 15%.

A percentage is a ratio of the parts in the whole of 100 parts.

So, 3% = 3/100

This is nothing but a fraction.

To convert it into decimals, divide the numerator by the denominator. So, we get 3/100 = 0.03.

Similarly, for 15%, the fraction is 15/100

This fraction when divided by 5 in both numerator and denomiantor, we get (15/5)/(100/5) = 3/20

So, the fraction 3/20 is the equivalent fraction for the fraction 15/100 Since their values are the same i.e., 0.15. Thus, the decimal number for those fractions is 0.15.

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Answer: x= 5  y= -2

Step-by-step explanation: Time 2 to eliminate the y

6x - 4y = 38

5x + 4y =17

11x = 55

x= 5

Then put 5 in for the x, and you will get,  y = -2

Answer:

cosФ = [tex]\frac{17}{25}[/tex]

Step-by-step explanation:

the sin and cos are the same and for tan it's flipped.

The expression 10.2x + 9.4y when x = and y = 3 is 38. 4

An algebraic expression can be defined as an expression that is composed of terms, constants, coefficients, variables and factors.

These algebraic expressions are also made up of mathematical operations such as;

From the information given, we have the algebraic expression;

10.2x + 9.4y

Now, let's substitute the values of x as 1 and y as 3 into the expression, we have;

10.2(1) + 9.4(3)

expand the bracket

10. 2 + 28. 2

Add the values

38.4

Hence, the value is 38.4

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118°

The overall shape is a quadrilateral. meaning total angles on the inside = 360°

each side is equal and therefore both CDE and CFE are the same. 90 + 34 = 124

360 - 124 = 236

236/2 = 118 therefore you answer is 118°

Answer:

B

Step-by-step explanation:

since it is already finalized that 200 lbs worth of computers have been loaded onto the truck, that will be a number by itself in the equation. However, the number of boxes of books is not finalized, and the question is asking you to create an inequality that may help find the amount of full boxes that can be loaded onto the truck without exceeding the weight limit of 1400 lbs.

hope this helps!!! :3

Answer:345321

Step-by-step explanation:

you said it?

This is an example of a seasonal component in a time series. A seasonal component refers to regular, predictable patterns that are associated with the time of year, such as increased sales during the summer months.

Selling products or services to clients in exchange for cash or other types of payment is known as ale. The sales process consists of a number of elements, such as:

Product: The items or services being sold are referred to here. A corporation must have a comprehensive grasp of its product offerings and how they fit the demands of its target market.

Price: The sum of money that a consumer must fork over in order to purchase the item or service. Price should be set to maximise profit while maintaining market competitiveness.

Locations where higher the good or service is sold are referred to here as "place." Physical storefronts, internet marketplaces, or a network of distributors may all fall under this category.

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Answer:

90% is the answer

Step-by-step explanation:

hope this helps.

Answer:

B

Step-by-step explanation:

[tex]6(2x+4) - x^2+15-x\\=12x + 24-x^2+15-x\\=-x^2+24+15+12x-x\\=-x^2+11x+39[/tex]

The closest answer you have provided is B.

If the correlation between variables a and b is +0.52, then it shows that as value on A increases, the value on B increases

The correlation between variable a and variable b = +0.52

The correlation is defined as the statistical variable that show the relationship between the variables. So when one variable increases another variable increase or if one variable decreases another variable decreases. So correlation show the the variable changes at constant rate.

In the given details

The correlation between variable a and variable b is +0.52. The sign of the correlation is positive so variable a is increasing and the variable b will also increases at constant rate

Therefore, the best interpretation of correlation is as value on A increases, the value on B increases

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Answer: no

Step-by-step explanation: because 65x3=165 then it will be 9:30 already so she will be late by 30 minutes

Answer: x=26

Step-by-step explanation:

a^2+b^2=c^2

28.2^2-16^2=539.24

square root 539.24=23.2

23.2^2+11^2=659.24

square root 659.24=25.7

x=25.7 or 26

Answer:

54 is the answer

Step-by-step explanation:

hope this helps

Answer:

54 is your answer

Step-by-step explanation:

the person above is right

Pythagorean Theorem  we get x is 8.

given :

Hypotenuse = 10

base = 6

unknown leg x  = [tex]\sqrt{10^2 - 6^2}[/tex] = [tex]\sqrt{64}[/tex] = 8

x =8 .

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