Simplify math problems

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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$100 - $20 = $80

Understand?

Step-by-step explanation:

3÷5%=3÷5÷100

3÷5×1÷ 100

3÷5=3÷500

therefore 3÷5%=3÷500

Answer:

10 and 16

15 and 24

20 and 32

Step-by-step explanation:

Brainliest please?

Answer:

Chima would obtain 1200

Answer:y =12/7

Step-by-step explanation:

Answer:

y= 2-x/6

Step-by-step explanation:

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

Answer:

To find the average (also known as the arithmetic mean) of the data values, we need to divide the sum of the values by the number of values. We are given the sum of 12 data values, which is 942. So:

Average = Sum of values / Number of values

Average = 942 / 12

We can simplify this by dividing both the numerator and denominator by their greatest common factor, which is 6:

Average = (942 ÷ 6) / (12 ÷ 6)

Average = 157 / 2

Average = 78.5

Therefore, the average of the 12 data values is 78.5.

Step-by-step explanation:

The term "dilation" refers to a transformation. The height of the pre-image is 24.4 mm.

The term "dilation" refers to a transformation that is used to downsize an item. Dilation is a technique for making items appear bigger or smaller. The picture produced by this transformation is identical to the original shape.

Let the dilation factor of the trapezoid be x.

Now, if we write the area of the pre-image trapezoid, it can be written as,

\(\text{Area of trapezoid} = \dfrac{(a+b)}{2}h = 49\rm\ mm^2\)

As we know the dilation is applicable to dimensions, therefore, the area of the trapezoid which is the image can be written as,

\(\text{Area of Image trapezoid} = \dfrac{(ax+bx)}{2}hx\)

                                      \(= \dfrac{x(a+b)}{2}hx\\\\=\dfrac{(a+b)}{2}h\cdot x^2\\\\=49\cdot x^2\)                  

Now, if we calculate the scale factor(x) of the dilation we will get,

\({\text{Area of trapezoid}}={\text{Area of Image trapezoid}}\\\\x^2 \cdot 49 = 784\\\\x = 4\)

Further, the scale factor applied to the height of the image can be written as,

The height of the Image = 4 × Height of pre-image

                                          = 4 × 6.1 = 24.4 mm

Hence, the height of the pre-image is 24.4 mm.

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Answer:

24.4 mn

Step-by-step explanation: I took the quiz

5 3/5 ÷2 1/3 = 28/5 ÷ 7/3

then rearrange therefore =28/5×3/7

= 84/35

answer = 12/5

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

Step-by-step explanation:

Given two points:

The distance between them is the difference of y- coordinates since x- coordinates are same:

Answer: $350.00

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

if the sale is 30% we have to find what is 30% of 500 so we can subtracted from what we pay .

line up what you know:

$500 represents  100%

    $x represents  30 %

cross multiply

x*100 = 500* 30 ; divide both sides by 100

x= 500*30 /100 = 150

the sale price is 500-150= $350

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = \(180^{o}\)

51 + 44 + <R = \(180^{o}\)

95 + <R = \(180^{o}\)

<R = \(180^{o}\) - 95

    = \(85^{o}\)

<R = \(85^{o}\)

Applying the Sine rule, we have;

\(\frac{q}{SinQ}\) = \(\frac{r}{SinR}\) = \(\frac{s}{SinS}\)

Using \(\frac{r}{SinR}\) = \(\frac{s}{SinS}\)

\(\frac{r}{Sin 85}\) = \(\frac{2.3}{Sin51}\)

r = \(\frac{2.3*Sin85}{sin51}\)

  = 2.9483

r = 2.9 inches

Also, \(\frac{q}{SinQ}\) = \(\frac{s}{SinS}\)

\(\frac{q}{Sin44}\) = \(\frac{2.3}{Sin51}\)

q = \(\frac{2.3*Sin44}{Sin51}\)

  = 2.0559

q = 2.0 inches

From Herons formula,

Area of a triangle = \(\sqrt{s(s-q)(s-r)(s-s)}\)

s = \(\frac{2.3 + 2.0 + 2.9}{2}\)

  = 3.6

Area of ΔQRS = \(\sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}\)

                        = 2.2895

Area of ΔQRS = 2.3 square inches

Answer:

2.4

Step-by-step explanation:

Answer:

9.9 lb of cashews and 23.1 lb of Brazil nuts

Step-by-step explanation:

cashews×$6.80 + Brazil nuts×5.50 = 33 lb × $5.89

C +B = 33lb

C = 33 - B

(33-B)(6.80) + B(5.50) = $194.37

224.4 - 6.80B + 5.50B = 194.37

-1.3B = -30.03

B = 23.1

C = 33 - 23.1

C = 9.9

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

Answer:

\(6x^8y^5\)

Step-by-step explanation:

\(3x^2y^4 \times 2x^6y \text{ // We should remind ourselves of the rule: }a^m \times a^n = a^{m + n}\\\\\to (3 \times 2)(x^2 \times x^6)(y^4 \times y^1)\\\\\to 6(x^{2 + 6})(y^{4 + 1})\\\\\\\to 6x^8y^5\)

Answer:

Answer below

Step-by-step explanation:

The y-intercept is 2, so you know that one point will be (0,2). The slope is 2/3 so you go 2 units up and 3 units to the right from (0,2).

Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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The absolute minimum of the function is f ( -10 ) = -1

Given data ,

Let the function be represented as f ( x )

Now , the function f ( x ) is plotted on the graph

where the minimum of a function is the smallest value that the function takes on over its entire domain.

It is the point on the graph of the function that is the lowest possible point

So , the function has the minimum value of - 1 at the point x = -10

Hence , the minimum of function is f ( -10 ) = -1

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The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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Answer:

A(4.5 , 7) B(6.5 , 7) C(6.5 , 4) D(2 , 4)

Step-by-step explanation:

Hope this helps!

Answer:

A

Step-by-step explanation:

A is the only answer with ordered pairs that have a consistent rate of change, -1/3

Answer:

0.16%

Step-by-step explanation:

From the statement of the question;

Number of Laryngeal cancer due to smoking = 160

Population of smokers = 100,000

Hence the percentage of smokers liable to have Laryngeal cancer = 160/100000 ×100/1

=0.16%

Hence 0.16% of smokers are liable to Laryngeal cancer

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer:

help with what?

Step-by-step explanation: