4/9 = ?/?

+ 5/18 = ?/?
___________
?/?

When adding multi-digit numbers, it's a good idea to employ the commutative property. However, counting up becomes simpler if pupils are aware that they can change the order of the addends and begin adding with the larger number FIRST.

According to the commutative property of addition, the sum is unaffected by changes in the order of the numbers being added. The commutative property of addition can be defined as the fact that adding two integers in any sequence results in the same result. Here, a and b may be fractions, decimals, whole numbers, or even integers.

For instance, 1+2=2+1 and 2x3=3x2.

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Answer:

∠T = 130°

Step-by-step explanation:

The figure we are given is a quadrilateral, a 4 sided shape.

There are many different types of quadrilaterals, such as a rhombus, rectangle, etc.

How will we know which quadrilateral the given figure is?

We will have to look at the given properties of the figure to find out.

We are given that there are two adjacent pairs of congruent sides.

RS = RU, and ST = UT.

Thus, the given quadrilateral is a kite.

Now that we know that the given figure is a kite, we can utilize a kite's angle properties to find out ∠T.

In a kite, the non-vertex angles (∠S and ∠U) are congruent.

If ∠S = 60°, then ∠U = 60°.

In a kite, the sum of the interior angles is 360°.

Hence:

∠R + ∠S + ∠T + ∠U = 360°

Therefore, we can substitute the angles we know into the equation and solve for ∠T.

∠R + ∠S + ∠T + ∠U = 360°

110 + 60 + ∠T + 60 = 360

110 + 120 + ∠T = 360

230 + ∠T = 360

∴ ∠T = 130°

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The chance you get a odd number of heads from the first coin is 1/3,

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Answer:

4 cm

Step-by-step explanation:

Because the have the same scale if you multiply all sides by one number they should be equal. 20/5=4

Answer:

Short answer 4cm

Step-by-step explanation:

Long answer I did the quiz and got It correct so yeah.

Answer:

Step-by-step explanation:

52% would be 100% - 48%.  If you do make a 10 by 10 grid, you would shade half the grid (e. g., share the lower 5 rows of 10 squares each) PLUS shade 2 more white squares, for a total of 52 shaded squares.

Answer:

y = 10x +

the picture is cut short so I can't help with the next box.

Answer:

15w^2

Step-by-step explanation:

The reason being is note how it says portrait, so assume the shape of a square, because it says 3 inches on all sides, and it also mentioned 1.5 times w, so in turn, 15w^2

Refer to the attached image.

Answer:

Step-by-step explanation:

The perimeter of a regular pentagon is equal to the sum of the lengths of its sides. The length of each side of a regular pentagon inscribed in a circle with radius 1 meter can be found using the formula: side length = 2 * radius * sin(180/number of sides).

For a regular pentagon, the number of sides is 5. Plugging this into the formula gives us:

side length = 2 * 1 * sin(180/5) = 2 * 1 * sin(36) = 2 * 0.587785 = 1.175570

So the perimeter of the regular pentagon is equal to 5 * 1.175570 = 5.877849 meters.

Answer: v = 100

Step-by-step explanation:

v+15 = v-37 + v-48

v + 15 = 2v - 85

85 + 15 = 2v - v

100 = v

The degree of polynomial is 2 and leading coefficient is 3.

A polynomial is a mathematical expression made up of one or more terms. The phrases "poly" and "nominal," for example, are whence the name "polynomial" arose. The words "poly" and "nominal" both signify many. A polynomial is an algebraic expression with two or more algebraic terms, to put it simply. It has exponents, operators, coefficients, coefficients, variables, and constants.

Given polynomials 9, 3x², 8x

standard form of polynomial;  The value of the largest exponent in a polynomial is known as its degree. However, it differs between a polynomial with just one variable and one with multiple variables. The degree of a polynomial for a single variable is equal to the variable's highest power in the polynomial.

the standard form is 3x², 8x, 9

degree of polynomial is 2.

and leading coefficient is the constant term followed by the variables with highest power,

LC = 3.

Hence degree = 2 and leading coefficient = 3.

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Answer:

Solving basic equations & inequalities (one variable, linear)

Linear equations, functions, & graphs.

Sequences.

System of equations.

Two-variable inequalities.

Functions.

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

Use desmos.

Step-by-step explanation:

In the image attached, I graphed the linear function on a graphing calculator. B=7 and the slope is 3.

Answer:

A) 9.1%

B) 7.4%

Step-by-step explanation:

Part A

Because you are replacing each marble before selecting the next, the probability of choosing one red marble remains the same, so choosing 3 red marbles with replacement would mean the probability gets multiplied by itself 3 times:

[tex]\displaystyle P(\text{Red+Replace})=\biggr(\frac{9}{20}\biggr)^3=\frac{9}{20}*\frac{9}{20}*\frac{9}{20}=\frac{729}{8000}\approx9.1\%[/tex]

Part B

[tex]\displaystyle P(\text{Red+No Replace})=\frac{C(9,3)C(4,0)C(7,0)}{C(20,3)}=\frac{\frac{9!}{3!(9-3)!}}{\frac{20!}{3!(20-3)!}}=\frac{\frac{9*8*7}{3*2*1}}{\frac{20*19*18}{3*2*1}}=\frac{9*8*7}{20*19*18}=\frac{7}{95}\approx7.4\%[/tex]This can also be calculated with [tex]\frac{P(9,3)}{P(20,3)}[/tex] because the order does matter in which you pick the 3 red marbles with no replacement.

Answer:

9.1%

7.4%

Step-by-step explanation:

The required money to be invested in order to save $5000 is $4677.26.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

The principal for each interval is the sum of interest And the principal for the previous interval.

Suppose the amount to be invested be P.

The rate of interest for monthly compounding is given as 4.5/12 = 0.375%.

Time is given as 18 months.

This implies number of time period is 18.

Plug n = 18, r = 0.375% and A = 5000 in A = P(1 + r/100)ⁿ as,

⇒ 5000 = P(1 + 0.375/100)¹⁸

⇒ P = 4677.26

Hence, the amount of money that should be invested is obtained as $4677.26.

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A rail track is composed by multiple lines, however all the lines are in the same plane, hence a plane is the best geometric model for the rail track.

Two angles are supplementary if the sum of their measures is of 180º, hence the supplement of an angle is obtained subtracting 180º by the angle measure.

This means that the supplement of ABC = 82º is given as follows:

180º - 82º = 98º.

Two angles are complementary if the sum of their measures is of 90º, hence the complement of an angle is obtained subtracting 90º by the angle measure.

This means that the supplement of ABC = 90º is given as follows:

90º - 32º = 58º.

Two lines intersect at a single point, which is the solution to the system of equations involving the two lines.

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The student population in the school can be modeled using an exponential function of the form:

P(t) = 2,035 * 1.03^t

where P(t) is the student population t years from now, and 1.03 is the factor by which the population increases each year.

To predict the number of students in the school after five years, we can substitute t = 5 into the function:

P(5) = 2,035 * 1.03^5

= 2,035 * 1.1895

= 2,408.76

Thus, there will be approximately 2,408.76 students in the school after five years.

Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

Several dots are arranged along a vertical and horizontal axis to form a scatter plot. Because they can demonstrate the strength of the relationship, if any, between the two observed quantities or occurrences, scatter plots are crucial in statistics (called variables).

Here,

Given :  the number of coupons redeemed by the last 20 shoppers

and

center dot plot is 1

thus,

No one redeemed  each 4 coupons

So, In order to find the which plot displays data correctly

We get,

0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

which represents the data correctly

Therefore , the solution to the given problem of scatter plot comes out to be the data correctly represented as 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot

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Answer:

The zeros are (0,0) and (4,0)

Step-by-step explanation:

Those are the 2 points of the parabola that are on the "x" axis

(Hope this helped! Please ask and questions about this in the comments) :D

Respuesta:

12, 13

Explicación paso a paso:

Dejar,

Número más pequeño = x

Número mayor = x + 1

Expresarse matemáticamente;

2 (x + 1) - (x / 2) = ((x + 1 + x) / 5) + 15

2x + 2 - 0.5x = 0.2 (2x +1) + 15

1.5x + 2 = 0.4x + 0.2 + 15

1.5x - 0.4x = 0.2 + 15 - 2

1,1 veces = 13,2

x = 13,2 / 1,1

x = 12

x + 1 = 12 + 1 = 13

Answer:

Step-by-step explanation:

To move all the constants to the right side: Subtract 0.4 from both sides

-9x = 3.6

To isolate the variable: Divide both sides of equation by -9

x = -3.6/9

Solution of the equation: -0.4

Dimensions of the parallelogram are:

Its perimeter is:

Its area is:

Perimeter is 2 times greater:

Area is 2*2 = 4 times greater:

Perimeter is 3 times greater:

Area is 3*3 = 9 times greater:

Perimeter is 2 times smaller:

Area is 2*2 = 4 times smaller:

Answer:

2x+6y+2

Step-by-step explanation:

Answer:

x = 52

Step-by-step explanation:

180 - 72 = 108

108 + 20 + x = 180

128 + x = 180

180 - 128 = x

x = 52

Have a nice day!

Please find attached the graph showing the translation transformation of the triangle ΔABC with vertices A(2, 1), B(-1, 2), and C(-2, -1) using the rule (x, y) → (x - 1, y - 3), to produce triangle ΔA'B'C' with vertices A'(1, -2), B'(-2, -1), and C'(-3, -4), created with MS Excel

A translation transformation is one in which the location of the points on the original figure slides by the same amount and in the same direction to form the image.

The vertices of the triangle ΔABC are; A(2, 1), B(-1, 2), and C(-2, -1)

The specified transformation is; (x, y) → (x - 1, y - 3)

Applying the specified transformation, we get;

A(2, 1) ⇒ (x, y) → (x - 1, y - 3) ⇒ A'(2 - 1, 1 - 3) = A'(1, -2)

B(-1, 2) ⇒ (x, y) → (x - 1, y - 3) ⇒ B'(-1 - 1, 2 - 3) = B'(-2, -1)

C(-2, -1) ⇒ (x, y) → (x - 1, y - 3) ⇒ C'(-2 - 1, -1 - 3) = C'(-3, -4)

The vertices of the image ΔA'B'C' of the triangle ΔABC following the transformation, (x, y) → (x - 1, y - 3) are therefore;

A'(1, -2), B'(-2, -1), C'(-3, -4)

Please find attached the graph of the triangle ΔABC and its image ΔA'B'C' after the translation (x, y) → (x - 1, y - 3), created with MS Excel

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In this equation, n represents the original price of the television before the sale.

Equation is a mathematical statement that expresses the equality of two expressions by using numbers, symbols, and operations. It is used to describe the relationship between different variables in a problem. Equations are usually written as a statement of equality, such as 2 + 2 = 4, where the left side of the equation (2 + 2) is equal to the right side (4). Equations can be used to solve for a single unknown value, or to determine the relationship between multiple variables.

In this equation, n represents the original price of the television before the sale.

This means that the original price of the television was $375.

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The amount made in commission is $67.5.

The amount made in sales by the store is $682.5.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount sold last week = $750.

Commission = 9%

The amount of commission.

= 9/100 x 750

= $67.5

The sales made last week by the store.

= 750 - 67.5

= $682.5

Thus,

$67.5 was made in commission.

$682.5 was made from sales.

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