What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction? What number were both the numerator and denominator multiplied by to arrive at the equivalent fraction ?​

Answer:

  85,999,999.999 999 909

Step-by-step explanation:

The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.

The numbers in standard form are ...

  86,000,000 = 8.6×10^7

  0.000000091 = 9.1×10^-8

Their difference is ...

  86,000,000 -0.000000091 = 85,999,999.999 999 909

In scientific notation, this is ...

  8.599 999 999 999 990 9×10^7

Answer:

[tex]\sf Shaded \: Area=14 \pi r+49 \pi[/tex]

Step-by-step explanation:

Area of a circle

[tex]\sf A=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

To find the area of the shaded area, subtract the area of the unshaded circle from the larger circle.

Area of the larger circle

[tex]\implies \sf A=\pi (r+7)^2[/tex]

Area of the smaller (unshaded) circle

[tex]\implies \sf A=\pi r^2[/tex]

Therefore, the area of the shaded area is:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

Expand and simplify the expression:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

[tex]\implies \sf A=\pi (r^2+14r+49)-\pi r^2[/tex]

[tex]\implies \sf A=\pi r^2 +14 \pi r +49 \pi -\pi r^2[/tex]

[tex]\implies \sf A=14 \pi r+49 \pi[/tex]

OUTER CIRCLE AREA

Inner circle area

Area of shaded one

Answer:

it is a 50 50 %chance so it is random this is called probability the probability of blue is half so it is by chance I chose blue

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

Answer:

1

Step-by-step explanation:

Could this be a tricky question? See the point:

Though it's inlikely that the first 240 people have only 10 years. Don't take this answer very seriously

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: slope \:\: of \:\: line = \cfrac{3}{2}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The equation of line is written in slope - intercept form

[tex]\qquad \tt \rightarrow \: f(x) = \dfrac{3}{2} x - 4[/tex]

if we compare it with general slope - intercept equation of line :

[tex]\qquad \tt \rightarrow \: f(x) = mx + c[/tex]

[ m represents slope of line ]

[tex]\qquad \tt \rightarrow \: m = \dfrac{3}{2} [/tex]

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Answer:

[tex]\frac32[/tex]

Step-by-step explanation:

Hello!

An equation of a line is usually written in slope-intercept form.

Slope Intercept Form: [tex]y = mx + b[/tex]

If we compare our given equation with the format:

This means that [tex]\frac32[/tex] would be our slope for the line.

Answer:

x12×x5x×x-2×9) ____=((140)5

60x × (x-18)x _______=(140)5

60x×x-10x _______=(140)5

60x-18x______=140×5

42x_______=700

42x-42x ____=700-42x

658x

The Volume and Surface Area of Prism is 462  in² and 637  in³.

What is Prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.

Surface area of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 13*7 + 7*7+ 13*7)

=2*231

= 462  in²

Now, Volume,

= bhl

= 13*7*7

= 637  in³

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Answer:

9/2 or 6/2

Step-by-step explanation:

The sum of nine should be amended by adding 6 + 2 +1 = 9

so when adding these numbers you will get the sum of 9

The proportional relationship given in the table is y = 1.6x, and line B shows this relationship.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant of proportionality, considering the points on the table, is given as follows:

[tex]k = \frac{24}{15} = \frac{16}{10} = \frac{8}{5} = 1.6[/tex].

Hence the equation is:

y = 1.6x.

Line B gives the same points as the table, hence it shows the proportional relationship.

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Answer:

0.6

Step-by-step explanation:

You can literally put 3/5 into a calculator and you would get the answer 0.6, so I don't know what else to say. Whoever asked you this question, give them the above answer ask them what they were on, because the person was probably way high on LSD.

Answer:

Cost of a T-shirt is £4
Cost of a Hat is £1

Step-by-step explanation:

Let T be the cost of each T-shirt and H the cost of each hat

We get two equations based on the cost description

3T + 2H = 14 ...... (1)
2T + 7H = 15 ...... (2)

Multiply (1) by 2 and (2) by 3 so that the T terms are the same
(1) x 2  ==> 6T + 4H = 28  ...  (3)
(2) x 3 ==> 6T + 21H = 45 ... (4)

Subtract (3) from (4) to eliminate the T terms
21H - 4H = 45 - 28 or 17H = 17 ==> H = 1

Substituting the value of H in either (1) or (2) will give us a value for T
Substitute in (1)
3T + 2*1 = 14 ==> 3T = 12, T = 4

Check
In (1) 3 *4 + 2 *1 = 14
In (2) 2*4 + 7*1 = 15
So satisfies both equations

Answer:

[tex]\huge\boxed{\dfrac{1}{-1x}=-\dfrac{1}{1x}=-\dfrac{1}{x}=-x^{-1}}[/tex]

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit  sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

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Values are given below as pairs (x,y) where x coordinate is x values in box and y coordinate is y values on box

Graph attached

The answer choice which can be modelled using the number line given in the task content is; (1/10) × 7.

It follows from the task content that the answer choice which can be modelled using the number line be identified.

Hence, since each successive threshold on the number line is 1/10 from the next. It follows that the number line best models the expression; (1/10) × 7.

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The angle at which the man should observe is 45 degrees.

Given :

height of man = 1.5m

height of tower = 81.5 m

distance between tower and man = 80 m

Since, ABCD is a rectangle, AD = BC = 80m

Similarly, AB = CD = 1.5m

EC = ED + CD

81.5 = ED + 1.5

ED = 80m

Now, in order to find the angle EAD, we use trigonometric functions,

tan ∅ = perpendicular / base = ED / AD

tan ∅ = 80 /80 = 1

∅ = [tex]tan^{-1} (1)[/tex]

∅ = 45°.

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Answer:

please see photo attached for detailed analysis.

The number of children ticket sold on Sunday is 210.

Given this equations:

x+y=370 equation 1

3x+7y=1750 equation 2

Multiply equation 1 by 7

7x + 7y = 2590 equation 3

Subtract equation 2 from equation 3

4y = 840

Divide both sides by 4

y = 840 / 4

y = 210

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The figure showing the construction is given below.

Steps for the construction of a circle through three points not on a straight line are as follows:

1. To create two lines, connect the points.

2. Create the line's perpendicular bisector.

3. Create the opposite line's perpendicular bisector.

4. The circle's center is where they intersect.

5. Draw your circle by placing the compass on the center point and adjusting its length to reach any point.

What happens if the points are parallel?

The circle traveling through all three points will have an infinite radius if the three points are collinear, or all situated on a straight line. Therefore, a practical circle cannot traverse three collinear locations. The two radii would be parallel and would never come together at a center if you tried the construction. We may claim that they do cross mathematically but at infinity.

Hence, after following the steps we obtain the circle.

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The expression that's in the simplest term will be -12a² + b².

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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[tex]t = p*k[/tex]  is the formula that will help eric determine how much the potatoes he buys will cost in bulk.

An equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

According to the question,

In order to calculate the price of the fruit we need to multiply the amount of food in kilograms by the price per kilogram of that specific food.

Since we are given specific variables for each piece of information needed for the variable.

All we need to do now is to create the formula to calculate the total price of the potatoes that Eric needs to buy.

[tex]t = p*k[/tex]

By using this formula lets Eric calculate the total price of an order of fruit or vegetables.

Therefore,

A formula that will help eric determine how much the potatoes he buys will cost in bulk is  [tex]t = p*k[/tex]

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The probability she chooses a number greater than 5 will be 1/2 or 0.5.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Probability = (Favorable event) / (Total event)

Eleanor randomly decides a number from 1 to 10.

Then the probability she chooses a number greater than 5 will be

Total event = 10

Favorable event = 5 {6, 7, 8, 9, 10}

Then we have

P = 5/10

P = 1/2

P = 0.5

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The equation of the graph is y ² = 16x.

A parabola is a U shaped curve ,all the point of which is equidistant from a point called as focus and a line called as Directrix .

In the given question , the graph is a horizontal parabola as the directrix is x = -4 , and as the focus lies on the right side , it is opening towards the right.

The equation for the horizontal parabola is given b y

(y-k)² = 4p(x-h)

h , k is the mid point of focus and the directrix , i.e. the vertex and is given by

h = ([tex]\rm x_f[/tex] +a )/2 , k = [tex]\rm y_f[/tex]

h = (4 -4)/2 , k = 0

h=0 , k = 0

The vertex is 0 , 0

p = (|[tex]\rm x_f[/tex] - a|)/2 = 8/2 = 4

Therefore the equation of the graph is

y ² = 4 * 4 *x

y ² = 16x

The equation of the graph is y ² = 16x.

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Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

The height in feet that a person has fallen after t seconds is given by:

d = 16t².

In this problem, we want the time for a fall of 180 feet, hence.

[tex]16t^2 = 180[/tex]

[tex]t = \sqrt{\frac{180}{16}}[/tex]

t = 3.35

The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.

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The steps to draw all the three angles have been explained.

An angle is made by two rays that have one common end point known as vertex.

To make an angle congruent to the one given , the angle has to be copied

For making both ∠XYZ and∠ UVW , following steps will be followed.

Now to draw RST = ABC  + DEF

       The angle obtained will be RST.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Term refers to each variable or constant separated by a mathematical operator.

Coefficient refers to the numberic part of variable or a constant number present in an expression.

[tex]\qquad \tt \rightarrow \: 12a - 10b + 6[/tex]

[tex] \large\textsf{Terms :} [/tex]

[tex] \texttt{coefficient = 5} [/tex]

[tex] \texttt{coefficient = -8 } [/tex]

[tex] \texttt{coefficient = 20} [/tex]

[tex] \texttt{coefficient = 6} [/tex]

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