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 ?​

Answers

Answer 1

Answer:

Both the numerator and denominator should be multiplied by the same number to arrive at the equivalent fraction.

Step-by-step explanation:

Equivalent fractions =  two or more than two fractions are said to be equal if both results the same fraction after simplification.

For example, consider the fraction 1/3

Multiplying numerator and denominator with 2, we get 1/3 × 2/2 = 2/6

Multiplying numerator and denominator with 3, we get 1/3 × 3/3 = 3/9

Multiplying numerator and denominator with 4, we get 1/3 × 4/4 = 4/12

Therefore, we can conclude that,

1/3 = 2/6 = 3/9 = 4/12 these are equivalent fractions.

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Answer 2

Answer: 2 and 6/8

Step-by-step explanation:


Related Questions

Bearing a to b is 280 what is bearing b to A

Answers

Answer:

please see photo attached for detailed analysis.

Out of 475 applicants for a job, 240 have 10 years experience and 83 have over 10 years experience and a graduate degree. what is the probability that a randomly chosen applicant has a graduate degree given that they have over 10 years of experience?

Answers

Answer:

1

Step-by-step explanation:

Could this be a tricky question? See the point:

240 have 10 years experience (exactly)and 83 have over 10 years experience and a graduate degreeCombining 1 and 2 the answer is 1

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

Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were $96, and the fixed costs were $574,800. management expects per unit data and total fixed costs to remain the same in 2022. the president of cullumber company is under pressure from stockholders to increase net income by $106,400 in 2022.

Answers

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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Help with Pre Calculus

Answers

the answer is the first one .. y=3x-4

A man of height 1.5 m is standing in front of a tower of height 81.5 m. At what angle should he observe the top of the tower from the distance of 80 m?​

Answers

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

To solve the question :

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°.

Therefore, The angle at which the man should observe is 45 °.

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What is the slope of the line represented by the equation f(x) = -47
2x 4₂
-4

Answers

[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]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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]

m = slopeb = y-intercept

If we compare our given equation with the format:

m = [tex]\frac32[/tex]b = -4

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

can u help me figure this out lol

Answers

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


Which expressions are in simplest form? Check all that apply. 0 x²³+y³ 1 - 3 9-9 ·to -12 a² + b ² Which expressions are in simplest form ? Check all that apply . 0 x²³ + y³ 1 - 3 9-9 · to -12 a² + b ² ​

Answers

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

How to illustrate the expression?

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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3. If there are 104 ounces in 2 quarts, how many quarts are there in 260 ounces?
A. 5
B. 2.5
C. 26
D. 1300

Answers

5
260/104= 2.5(2) = 5

Find the missing term.
(x12)5 x (x-2)⁹ X ____=
(140)5

Answers

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

There are eight shirts in your closet, four
blue and four green. you randomly select
one to wear on monday and then a
different one on tuesday. you wear blue
shirts both days.

please show your work, just so i would also understand how to answer this question !!

Answers

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

(8.6x107)-(9.1x10-8)simplify

Answers

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.

Standard form

The numbers in standard form are ...

  86,000,000 = 8.6×10^7

  0.000000091 = 9.1×10^-8

Difference

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

On Sunday, 370 people bought tickets to the county fair. Tickets cost $7 for
adults and $3 for children. The total revenue from ticket sales on Sunday was
$1750. The system of equations below represents the number of people and
total sales for the county fair on Sunday, where x represents the number of
child tickets and y represents the number of adult tickets.
x+y=370
3x+7y=1750
How many child tickets were sold on Sunday?
OA. 180
B. 160
C. 210
D. 220

Answers

The number of children ticket sold on Sunday is 210.

How many child tickets were sold?

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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On a coordinate plane, the x-axis is labeled minutes and the y-axis is labeled Blocks. Line A goes through points (10, 4), (15, 12), and (20, 20). Line B goes through points (5, 8), (10, 16), (15, 24). Line C goes through points (5, 24), (15, 16), (20, 12).
The table shows Jose’s rate of bicycle riding.

A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 5, 10, 15. Column 2 is labeled Blocks with entries 8, 16, 24.

Which line on the graph shows the proportional relationship in the table?

Line
on the graph shows the proportional relationship.

Answers

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

What is a proportional 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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is 1/-1x equivalent

Answers

Answer:

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

please help mee, sketch the graph please (50 points will give brainliest!!!)

Answers

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

(-5,9)(-4,4)(-2,0)(0,4)(1,9)

Graph attached

5w-8x+20y+6z
Term:
Coefficient:

Answers

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

[tex] \sf{5w\rightarrow coefficient = 5} [/tex]

[tex] \sf{-8x\rightarrow coefficient = -8} [/tex]

[tex] \sf{20y\rightarrow coefficient = 20} [/tex]

[tex] \sf{6z\rightarrow coefficient = 6} [/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{5w } [/tex]

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

[tex] \texttt{-8x} [/tex]

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

[tex] \texttt{20y} [/tex]

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

[tex] \texttt{6z} [/tex]

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

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Which expression can be modeled using the number line

Answers

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

Which answer choice can be modelled by the number line?

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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Please help me with my math

Answers

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

can you write 3/5 as a recurring decimal?
can i also have an explanation please :)

Answers

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.

Can someone help me with question 3? I like to see the working and answer on paper, that would be more helpful, I’m in a hurry

Answers

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

What is an Angle ?

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.

Draw two rays separately and name it YZ and VW .Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.The angle formed will be copy of ∠ABC and∠ DEF

Now to draw RST = ABC  + DEF

Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.

       The angle obtained will be RST.

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Guys, can you please help me write an expression for shaded circle and please expand and simplify for me, guys, please? :)

Answers

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

π(r+7)²

Inner circle area

πr²

Area of shaded one

π(r+7)²-πr²π(r²+14r+49-r²)π(14r+49)14πr+49π

write a formula that will help eric determine how much the potatoes he buys will cost in bulk.
t = total price
p = price for kilograms
k = number of kilograms of food

Answers

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

What is Advance algebraic Equations?

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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A pair of dice is rolled. What is the probability that the sum is 9 or that the first number is a 2?

Answers

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

Volume and surface area rectangular prism

13 in 7in 7in

Answers

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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What decimal is equivalent to ?
7-25

Answers

Answer = .28
Explained
7/25
Divide 7 by 25 = .28
Hint: the slash between the 7 and 25 (numerator and denominator) is a division sign

Eleanor randomly chooses a number from 1 to 10. what is the probability she chooses a number greater than 5?

Answers

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

What is probability?

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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Can someone help me please its geometry.

Answers

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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Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(4, 0) and the line x = –4.

Answers

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

What is a Parabola ?

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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Assuming no air resistance, how long would it
take a skydiver to fall 180 feet? (Estimate
your answer to one decimal place. Hint: Use the
equation d = 16+²)

Answers

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

What is the height considering no air resistance?

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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