What is the solution of the following system of equations? y-2x=-6 and y-4x=0

Answer:

C, adding -1 1/2 to the coordinate of point J.

Step-by-step explanation:

J= 1 1/5

Equation : 1 1/5+(-1 1/2)

Use distributive property and by multiplying the + sign by the negative #, you get a negative.

- positive x negative = negative

So, : 1 1/5-1 1/5

= 0

Considering the sum of the internal angles of the polygon, it is found that the measures of the angles A and B are given as follows;

The sum of the internal angles of a polygon with n vertices is given by the following equation:

S = (n - 2) x 180º.

For this problem, the polygon has 6 vertices, hence n = 6 and the sum is given by:

S = (6 - 2) x 180º = 720º.

Considering each internal angle, we can solve for x as follows:

13x + 2 + 16x + 7 + 88 + 155 + 170 + 95 = 720

29x + 517 = 720

29x = 203

x = 203/29

x = 7.

Then the measures are given as follows:

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Answer:

Using the normal distribution, the z-score of the height of a women 5.5 feet tall is 0.51.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Considering that each feet has 12 inches, the parameters are given as follows:

[tex]X = 5.5 \times 12 = 66, \mu = 64.1, \sigma = 3.7[/tex]

Hence the z-score is found as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (66 - 64.1)/3.7

Z = 0.51

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Answer:

Step-by-step explanation:

Looking at the graphs we can state that:

A) Not a function as it fails the vertical line test. The three points has same x-coordinate of -1.

B) Not a function as it fails the vertical line test. The three points has same x-coordinate of 1.

C) Is a function as each x-value has a unique y-value:

D)  Is a function as each x-value has a unique y-value:

Answer:

See explanation

Step-by-step explanation:

c=different number of colors

t=5s+50c   ==> c=2

t=5s+50(2)

t=5s+100

5 is the cost of making each shirt and 50 is the cost of making shirts in one color. Hence, 50c is the cost of making shirts in c number of colors and 5s is the cost of making s number of shirts. 50c translates to 50(2) since shirts are made in two colors, so 50(2)=100. 100 dollars is the total cost of making shirts in 2 different colors.

Answer:

B.16

Step-by-step explanation:

Answer:

B:16

Step-by-step explanation:

Always start in the brackets so

3-1=2 and since the numbers are right by the brackets you multiply

2x4=8 8x2=16

Answer:

C

Step-by-step explanation:

what is the greatest common factor of 72 and 54 ?

in other words, what is the biggest number that divides both numbers without remainder ?

I use a prime factor analysis (identify all the prime factors).

72 :

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9

9 ÷ 2 no

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

72 = 2⁴×3²

54 :

54 ÷ 2 = 27

27 ÷ 2 no

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1 finished

54 = 2×3³

the largest number that can divide them both without remainder is the combination of the prime factors they have in common :

2 × 3² = 18

Answer:

W = -3

Alternatively 2/5

Answer:

2/5,-3 or 0.4,-3 Bainlist please

Step-by-step explanation:

Given that x is rational

By the property of addition, if 1 is added to any number, it exceeds the next number and doesn't remain the same.

Hence, x + 1 is not equal to x

The given statement is false.

Try This: For every rational number x, x + 0 = x. Is it true or false?

By the property of additive identity, any number added with 0, remains the same.

Hence, x + 0 = x, the given statement is true!

Answer:

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Step-by-step explanation:

The outer surface area of this open top box is 102 [tex]m^{2}[/tex].

The outer surface area of this open top box is given by SA=2lw+2lh+2hw

l = 9m

w= 3m

h = 2m

SA = 2×9×3 + 2×3×2 + 2×2×9

SA = 102 [tex]m^{2}[/tex]

The quantity of space enclosing the exterior of a three-dimensional shape is its surface area.

By summing the areas of the base, top, and lateral surfaces (sides) of the object, one may determine the total surface area. This is accomplished by measuring in square units and applying various area calculations.

The total area that all of a 3D object's faces cover is the surface area. The surface area of a cube is its surface area, for instance, if we are trying to determine how much paint is needed to paint it. Always expressed in square units.

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The correct answer is 5.5.

Numerator and denominator are the two components of a fraction. The denominator, which is not zero, comes below the line dividing the numerator from the denominator.

The simplest way to answer this question is to multiply the mixed number and fraction together after converting them to decimals.

We are aware that we must divide the numerator by the denominator in order to convert a fraction to a decimal.

1 ÷ 3 Equals 0.3... (This decimal repeats itself.)

0.3... + 7 Equals 7.3... (Continues to repeat)

7/3 equals 7.(3) in decimal form.

3 ÷ 4 = 0.75

As a decimal, 3/4 is 0.75.

Add the two decimal places together:

7. (3) × 0.75 = 5.5

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Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

The area of a triangle is expressed as;

A = 1/2 × base × height

Given the data in the question;

To determine the base of the triangular pendant, we plug the values into the equation above.

A = 1/2 × base × height

70 = 1/2 × base × 14

70 = 14/2 × base

70 = 7 × base

base = 70/7

base = 10 inches

Given the area and height of the triangular pendant, the length of the base of the triangle is 10 inches.

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Applying the definition of the midpoint of a segment, we have:

x = 6

PR = 36 units

If point Q is the midpoint of segment PR, it therefore means that point Q bisects (divides) line segment PR into two equal parts, namely: PQ = QR.

Also, PQ + QR = PR

Given the following:

QR = 18

PR = 5x + 6

Thus, we can create the following equation:

2(QR) = PR

Substitute

2(18) = 5x + 6

36 = 5x + 6

36 - 6= 5x + 6 - 6

30 = 5x

30/5 = 5x/5

6 = x

x = 6

PR = 5x + 6

Plug in the value of x

PR = 5(6) + 6

PR = 36 units

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Answer:?

Step-by-step explanation:

Answer: your answer is 1 and 1/2

Step-by-step explanation:

Answer:

3 years

Step-by-step explanation:

The expression of the statement is 26 = 13.5 +  m/2.5

Expressions are mathematical statements that are represented by variables, coefficients and operators

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals.

This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The mathematical statement is given as

Twenty-six equals the sum of 13.5 and the quotient of a number and 2.5.

Let the number be m

So, we have

Twenty-six equals the sum of 13.5 and the quotient of m and 2.5.

Quotient means divide

So, we have

Twenty-six equals the sum of 13.5 and m/2.5

Sum means addition

So, we have

Twenty-six equals 13.5 +  m/2.5

Equals means =

So, we have

Twenty-six = 13.5 +  m/2.5

Rewrite as

26 = 13.5 +  m/2.5

Hence, the expression of the statement is 26 = 13.5 +  m/2.5

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Answer:

A. 26 = 13.5 + m/2.5; m = 5 is the correct equation and solution.

To explain, the word "quotient" indicates that we need to divide a number by 2.5. Let the unknown number be represented by the variable "m". Then, the quotient of a number and 2.5 can be written as m/2.5. The math sentence can be written as: 26 = 13.5 + m/2.5

To solve for "m", we can isolate it by subtracting 13.5 from both sides and then multiplying both sides by 2.5:

26 - 13.5 = m/2.5

12.5 = m/2.5

m = 12.5 * 2.5

m = 5

Therefore, the equation that represents the given math sentence is 26 = 13.5 + m/2.5, and the solution is m = 5. Option a is correct.

The length of each side of a regular pentagon

a)6.4cm

b) 32cm

a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.

b) A pentagon has 5 sides.

The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.

Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).

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Step-by-step explanation:

Is true, even if we are not given the truth values of q, r and s.

Answer:

Step-by-step explanation:

3/5

Answer:

use gauth math

Step-by-step explanation:

The number -22 is an integer but not a natural number.

Integers are subsets of real numbers which are all numbers excluding fractions and decimals.

There are 3 types of integers.

Natural numbers are subset of integer numbers which contains all the positive integers such as 7 , 45 , 685 .

Natural numbers are also the subset of real numbers.

The given numbers are:

Hence only -22 is an integer but not a natural number.

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Answer:

Step-by-step explanation:

Answer:

x = 4 + 2y/ 3

Step-by-step explanation:

Using function concepts, it is found that:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

3. The statement is true.

The y-intercept of a function is the value of f(x) when x = 0, that is, the value of y for which the function crosses the y-axis.

If the function crosses the y-axis at y = 0, it will have a y-coordinate of 0, hence:

1. The y-intercept of the graph of an equation will sometimes have a y-coordinate of 0.

One example of linear equation with one variable is: y = 0.

Which passes through the origin, but y = 2 does not, hence:

2. If a linear equation contains only one variable, its graph will sometimes pass through the origin.

In item 3, the intercept is of By = 0 -> y = 0, hence when x = 0, y = 0, meaning that the statement is true, as the function will always pass through the origin.

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Using the relation between velocity, distance and time, the items and graphs are matched as follows:

1. D.

2. B.

3. A.

4. C.

Velocity is distance divided by time, that is:

v = d/t.

Hence the distance is given by:

d = vt.

Along a city street, we have that:

We can verify this that when graph C(velocity) is zero, graph D(position) is constant.

Along a superhighway we have that:

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