Which linear graph represents a proportional relationship? A graph of a straight line that passes through the points 0 comma 1 and 3 comma 0. A graph of a straight line that passes through the points 0 comma 0 and 1 comma 2. A graph of a straight line that passes through the points 0 comma negative 4 and 1 comma negative 4. A graph of a straight line that passes through the points 1 comma 0 and 1 comma 1.

Answer:

14(3m + 4n)

Step-by-step explanation:

Now we have to,

→ factor the given expression.

The expression is,

→ 42m + 56n

Let's factorise the expression,

→ 42m + 56n

→ (14 × 3m) + (14 × 4n)

→ 14(3m) + 14(4n)

→ 14(3m + 4n)

Hence, answer is 14(3m + 4n).

Answer:

16

Step-by-step explanation:

8+8=16

Answer:

21 inches

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side of a square

P = 4 ( 5 1/4)

   = 4 * 5 + 4 * 1/4

   = 20 + 1

  = 21

Answer:

Step-by-step explanation: so first you know how we have a right and left with our hands so that’s the same thing with the triangle is southern on the right and nothing left I’m not sure.

Answer:

The total discounted price to buy 4 adult tickets, 2 senior citizen tickets, and 3 student tickets is 96$ + 32$ + 18$ = 146$

Step-by-step explanation:

The discounted price for each ticket type is 3/5 of the original price, so for 4 adult tickets the discounted price is 4 * 24 * 3/5 = 96$, 2 senior citizen tickets is 2 * 16 * 3/5 = 32$, and 3 student tickets is 3 * 12 * 3/5 = 18$. Summing these together gives us 96$ + 32$ + 18$ = 146$.

Hope this helps!

Answer:

Step-by-step explanation:

118.5

Sum of all angles in the kite is 360.

XYW = 23

XYZ = 46

ZWY = 41

ZWX = 82

We'll make the 2 angles left 2x in the equation because they are congruent.

2x+82+41=360

I got 118.5. This is a weird number, I'm not sure if it's right, but I don't have time to check.

The power of man weight 40 m in 15 min is 394.8 N x distance / 900 seconds the distance is not provided in the question, so it's impossible to calculate the power.

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The thickness of a coin will be measured in millimeters.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,  though the real measurement is still the same the units and numerical values have been changed.

For the Conversion to Millimeter

1 meter = 1000 millimeter.

1 centimeter = 10 millimeter,

1 kilometer = 1000000 millimeter

We know that the thickness of the coin is too small. To be measured in meters or kilometers of the coin.

Hence, the thickness will be measured in millimeters.

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The graph of a function must be linear if it has ''a constant slope.''

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The graph of a function must be linear.

Now,

We know that;

A linear function graphs as a straight line if It will have a constant rate of change.

Thus, The graph of a function must be linear if it has ''a constant slope.''

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The next step in solving the equation 10x+5=-4x+47 for x after we have combined x variables to one side of the equation is once x variables have been combined we need to combine the constants using opposite operations and is denoted as option A.

This is referred to as a mathematical statement that shows that two mathematical expressions are equal.

The equation 10x+5=-4x+47 is solved by combining x variables to one side of the equation and  combining the constants using opposite operations which is denoted below:

10x+5=-4x+47

10x + 4x = 47 - 5

14x = 42

x = 42/14 = 3

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The number of grapes that 8 people eat more than 5 people, given the table attached, is 34 kg of grapes

To find the amount of grapes that 8 people eat more than 5 people, the formula would involve subtracting the amount of grapes eaten by 5 people from the amount of grapes eaten by 8 people.

From the graph, the amount of grapes eaten by 8 people would be 74 kg of grapes. The amount of grapes eaten by 5 people was 40 kg of grapes.

The amount of grapes that 8 people eat more than 5 people, is therefore :

= Grapes eaten by 8 people - Grapes eaten by 5 people

= 74 - 40

= 34 kg of grapes

In conclusion, the amount of grapes that 8 people eat more than 5 people, is 34 kg of grapes.

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The growth/decay rate of an exponential function can be found by taking the derivative of the function with respect to the independent variable.

K in terms of growth and decay?

The growth rate is represented by the constant k. When viewed in terms of exponential DECAY, it is NEGATIVE. The length of time since then is t. If the time information is provided as dates, you must convert it to the amount of time that has passed from the starting point.

Given the function f(x) = 5(1.34)^t, the derivative with respect to t is:

f'(x) = 5(1.34)^t * ln(1.34)

The derivative represents the instantaneous rate of change of the function, and it is also the growth/decay rate.

So the growth/decay rate of the function f(x) = 5(1.34)^t is 5ln(1.34) * (1.34)^t.

In this function, the growth/decay rate is directly proportional to the function value, and it is a constant times the function value. This means that the function is growing or decaying at a constant rate, the rate being 5ln(1.34) which is the coefficient of (1.34)^t.

This constant rate of change is the growth/decay rate. In this case it is a growth rate of 5ln(1.34) which is approximately 1.99.

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The length of the added metal bar is exactly 5cm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given cuboid the length is of 4 meters

The height is 3 meters.

We need to find the length of the added metal bar.

We can find this by using pythagoras theorem

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

In the given figure the added metal bar is the hypotenuse.

4²+3²=d²

25=d²

d=5

Hence, the length of the added metal bar is exactly 5cm.

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Side, Side, Side (SSS)

Are Congruent

Using the relationships between triangles based on the sides and angles we can determine whether or not triangles are congruent.

Congruent Sides

The diagram shows 2 triangles, and the sides of the triangles have tick marks to show that it is congruent to one of the sides of the other triangle. For example, both triangles have one side that has one tick mark. This means that these sides are congruent. Additionally, the sides with 2 tick marks are congruent and the same for the sides with 3 tick marks. Thus, it can be said that the sides of the triangles are congruent to each other.

Side, Side, Side

One of the most common relationships is side, side, side. This relationship occurs when 2 triangles have 3 sides that are congruent to each other. Side, side, side is usually shortened to SSS. This relationship will always prove congruency because triangles cannot have equal sides without the angles also being congruent.

Answer:

y = - [tex]\frac{2}{5}[/tex] , y = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

10y² - 11y - 6 = 0

consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y - term

product = 10 × - 6 = - 60 and sum = - 11

the factors are - 15 and + 4

use these factors to split the y- term

10y² - 15y + 4y - 6 = 0 ( factor the first/second and third/fourth terms )

5y(2y - 3) + 2(2y - 3) = 0 ← factor out (2y - 3) from each term

(2y - 3)(5y + 2) = 0 ← in factored form

equate each factor to zero and solve for y

5y + 2 = 0 ⇒ 5y = - 2 ⇒ y = - [tex]\frac{2}{5}[/tex]

2y - 3 = 0 ⇒ 2y = 3 ⇒ y = [tex]\frac{3}{2}[/tex]

21°.

In a right-angle triangle, there is always a 90° angle. Because of this, and our knowledge about a 69° angle, when we add 90° + 69° and get 159° as a result, we just subtract this from the area of a triangle, which is 180°. 180° - 159° = 21°, hence the missing and third angle is 21°.

When we divide the given decimal numbers and round off the answer to the nearest whole number, The answer is 8.

Whole numbers are the set of non-negative integers including 0, 1, 2, 3, 4, 5, and so on. They are numbers that can be counted and do not have fractions or decimals. Whole numbers are often used to count discrete objects and are an important foundation for many areas of mathematics, including number theory and combinatorics. They are opposite of the negative numbers and called Non-negative integers.

Round off is a method of approximating a number to a certain number of significant figures or decimal places. It involves replacing the least significant digits in a number with a 0 or a 5, depending on the next digit, in order to make the number simpler or more manageable. This can be done with the help of mathematical functions (e.g. round(), floor(), ceil() etc) in various programming languages. It is used to simplify large and complex numbers for ease of calculation, or to present data in a more readable form.

45.68/5.97

=7.65

rounding off to the nearest whole number , We get 8.

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Five pupils both swim and dance. Then the number of pupils in the class will be 25.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Every pupil in class either swims or dances or both. Three-fifths of the class swim and three-fifths dance. Five pupils both swim and dance.

Let 'x' be the total number of pupils. Then the equation is given as,

A∪B = A + B - A∩B

x = (3/5)x + (3/5)x - 5

x = (6/5)x - 5

(1/5)x = 5

x = 25

Then the number of pupils in the class will be 25.

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I can earn simple interest $12 in 6 years and My friend can earn simple interest $12 in 4 years.

What is simple interest?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Because simple interest doesn't compound, a creditor will only pay interest on the principal sum, and a borrower will never have to pay interest on the interest that has already accrued.

Principle = $50

Rate of Interest I1 = 4%

Interest = $12.

Interest = [tex]\frac{PNR}{100}[/tex]

=> 12 = [tex]\frac{50\times 4\times N}{100}[/tex]

=> N = [tex]\frac{12}{2}= 6[/tex] years.

Rate of Interest I2 = 6%

=> 12 = [tex]\frac{50\times 6\times N}{100}[/tex]

=> N = [tex]\frac{12}{3}[/tex] = 4 years.

Hence I can earn $12 in 6 years and My friend can earn $12 in 4 years.

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The explicit equation for the arithmetic sequence whose first term and second term are 3 and 5 respectively is; a (n) = 3 + 2 (n - 1).

The domain of such an arithmetic sequence includes the set of all positive integers, n.

Recall that the explicit equation of an arithmetic sequence takes the form;

a (n) = a (1) + d (n - 1).

where; a (n) is the nth term of the sequence.

a (1) = the first term of the sequence.

and d = common difference between each successive terms.

On this note, the required explicit equation of the arithmetic sequence is; a (n) = 3 + 2 (n - 1) since the common difference, d = 5 - 3 = 2.

The domain is the set of all possible values of n which includes all positive integers.

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The first and the third quadrilateral is parallelogram and the second one is not parallelogram.

Quadrilaterals are the closed figures or polygons in two dimensional geometry which has four vertices, four sides and four angles.

All parallelograms have opposite sides that are equal in length and parallel.

The first quadrilateral has two opposite sides equal. Also matching arrow indicates they are parallel.

So the first figure id parallelogram.

Second figure does not have equal opposite sides and parallel opposite sides.

So the second one is not parallelogram.

The third figure also has equal opposite sides and parallel opposite sides.

So the third one is parallelogram.

Hence the quadrilaterals shown in the first and third figures is parallelogram.

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Answer:

the Pythagorean Theorem

√73 = 8.544

a leg

hypotenuse

√89 ≈ 9.434

Step-by-step explanation:

Use the Pythagorean theorem since you are finding the hypotenuse of a right triangle.

AC = √(8² + 3²) = √73 ≈ 8.544

CG is a leg of right triangle ACG

AG = √(73 + 16) = √89 ≈ 9.434

The required value of the given equation is p = √3 + 8.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

If we let x = p - 8, then p = x + 8 and p × p = (x + 8) × (x + 8) = x² + 16x + 64.

We can substitute this expression for p × p in the given equation to get x^2 + 16x + 64 = (8 × (x + 8)) + 3 = 8x + 64 + 3 = 8x + 67.

Subtracting 64 from both sides gives us x² + 16x = 8x + 3, and if we subtract 8x from both sides, we get x² = 3.

The only positive value of x that satisfies this equation is x = √3, so p = √3 + 8.

Since √3 is approximately 1.73, p is approximately 9.73, which is greater than 4.

Therefore, a value of p that satisfies the given equation is p = √3 + 8.

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Answer: 77

Step-by-step explanation:

Area of a rectangle is length * width

Area = 7*11 so the answer is 77

Question 7

[tex]3(2+x)=-3 \\ \\ 2+x=-1 \\ \\ \boxed{x=-3}[/tex]

Question 8

[tex]4(5+x)=-4 \\ \\ 5+x=-1 \\ \\ \boxed{x=-6}[/tex]

The value of x is for the two rectangular table to have the same area is 6 or -1.

The dimensions of table one is x+4 and x, hence the area is:

Area = length * breadth

A = (x + 4)(x)

A = x² + 4x

The dimensions of table two is 2x + 3 and x - 2, hence the area is:

Area = length * breadth

A = (2x + 3)(x - 2)

A = 2x² - 4x + 3x - 6

A = 2x² - x - 6

Since both tables have same area, hence:

x² + 4x = 2x² - x - 6

x² - 5x - 6 = 0

x² - 6x + x - 6 = 0

x(x - 6) + 1(x - 6) = 0

(x + 1)(x - 6) = 0

x = -1 or 6

The value of x is 6

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The distance between the following numbers on the real number line is -5.

What is a number line?

A straight line with numbers positioned along it at equal intervals or segments. Positive and negative numbers are listed on each side of zero and continue forever on a number line, which is a straight line with a "zero" point in the center.

Here, we have

Given: a = -10, b = -15​

We have to determine the distance between the following numbers on the real number line.

According to the given question, we have

= b - a

= -15 - (-10)

= 15 + 10

= -5

Hence,  the distance between the following numbers on the real number line is -5.

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The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement.

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The series of the transformation will be reflected across the x-axis, translating 9 units to the Right and 2 units down. Then the correct options are A and C.

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The complete question is attached below.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Based on the figure on the graph, match the described transformations with the transformed figures.

Reflected across the x-axis

Rotated 180° clockwise

Translated 9 units to the Right and 2 units down

Reflected across the y-axis