How do I write 6 x 3/20 as a fraction in simplest form?

Answers

Answer 1

first, you need to turn it into a fraction by doing the multiplication. 6/1 × 3/20 which is 18/20. then you simplify it to get 9/10. 9/10 is your answer

Answer 2

Final answer:

To simplify 6 x 3/20, we first perform the multiplication to get 18/20. Then, we divide both the numerator and denominator by their greatest common divisor, which is 2, resulting in 9/10.

Explanation:

Firstly, in the given expression, 6 x 3/20, the order of operations (BIDMAS/BODMAS) requires us to perform multiplication and division from left to right. So, we multiply 6 and 3 to get 18. This gives us a new expression, 18/20. Then, we simplify this fraction by finding the highest number that both the numerator (18) and denominator (20) can be divided by, which is 2. So we divide both by 2, getting us 9/10. So, 6 x 3/20 simplifies to 9/10 in its simplest form.

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Related Questions

$40 is discounted into $32 what is the percent decrease

Answers

about 28.5 percent is the decrease I hope this helps :)

What is 120 degrees in radians?

Answers

Answer:

[tex]\frac 23 \pi [/tex]

Step-by-step explanation:

120 degrees is one third of the whole circle, or [tex] \frac 13 2\pi [/tex]

Answer:

the answer is 2pi/3

Given 11 is conguent to 3, which lines, if any, must be parallel based on the given information? Justify your conclusion

A. a || b, Converse of the Alternate Exterior Angles Theorem

B. c || d, Converse of the Same-Side Interior Angles Theorem

C. a || b, Converse of the Corresponding Angles Theorem

D. not enough information to make a conclusion

Answers

To draw a conclusion with parallel lines, you need two lines cut by a transversal. You don't have that situation here, so you cannot draw any conclusion about parallel lines.

is (3,4) a solution of y=-x+5

Answers

3=x
4=y

4=-3+5

So no it’s not.

If one quart is the same amount as 2 pints, how many pints are in 8 quarts?

Numerical Answers Expected!

Answers

just do a proportion to set up your problem so you would have (1/2)=(8/x) then solve for x. which you would get 16

Answer:

16!

Step-by-step explanation: Hope this helps.... you made this in 2017 its 2020 now-

Maybelle looked at a hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and the same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.

-20 points. Better yet, 30 points!! Please help!

Diff in price = %
_________ _________ thats the formula i think...
original price 100

Answers

The formula for percent increase is (final-initial)/initial*100
Plug in to get (2075-1195)/1195*100
880/1195*100
.7364*100
73.64% rounding we get
74%

Can someone please just explain what I need to do? I'm so confused

The length of a text messaging conversation is normally distributed with a mean of 10 minutes and a standard deviation of 4 minutes. What is the probability that a conversation lasts longer than 20 minutes?

Answers

Durant missed the preseason finale against Sacramento, allowing Nick Young to get experience starting and score 15 points.

the average cost for a company to produce x items is x^2-10x+43 dollars. how many items should the company produce to minimize the average cost per item?

Answers

the cost equation is a parabolic graph, whose "lowest value" is at its vertex, it is up and goes down down down, reaches the U-turn and then goes up up up again.

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{llll} y = &{{ 1}}x^2&{{ -10}}x&{{ +43}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{(-10)}{2(1)}~~,~~43-\cfrac{(-10)^2}{4(1)} \right)\implies (\stackrel{\textit{items to produce}}{5}~~,~~\stackrel{\textit{production cost}}{18})[/tex]

What number is diviscible by 2?

Answers

all even numbers are divisible by two, which means some answers would be 4, 6, 8, 10, 12, 14, etc.

Any number that ends with an even number can be divided by 2. 18/2=9 100/2=50,etc

if MN = PQ AND PQ = RS then MN = RS

Answers

The answer for this problem would be : true

LANDSCAPING The equation 3x+7y =105 represents the number of bags of sand x and bags of multch y that can be bought with $105. If no bags of sand are bought, how many bags of mulch can be bought with $105 ?

Answers

You could buy 15 bags of mulch with $105.
To find the answer, plug in 0 for x since you aren't buying any bags of sand and then you have 7y=105 and divide by 7 to find y which is 15.

Final answer:

When no bags of sand are bought, you can buy 15 bags of mulch with $105.

Explanation:

To find the number of bags of mulch that can be bought with $105 when no bags of sand are bought, we need to substitute x = 0 into the equation 3x+7y = 105. This will allow us to solve for y.

Since x = 0, the equation becomes:

3(0) + 7y = 105

0 + 7y = 105

7y = 105

Dividing both sides by 7, we get:

y = 15

Therefore, when no bags of sand are bought, you can buy 15 bags of mulch with $105.

1. Can √72 be completely simplified if it is broken up as √72=√9x8, explain why or why not?

2. How do you determine the result of taking the square root of a variable raised to an even power? For example √x∧28?

Answers

sqrt72 = sqrt(9x8) = 3sqrt8 = 3(sqrt(4x2)) = 3(2sqrt2) = 6 sqrt(2)

2. sqrt x = x^½. Rules of indices states for a power of a power, you times them.
so (x^28)^½ = x^14

PLZ HELP
Mrs. Kuss received a $50 Itunes gift card for her birthday. She bought one album for $9.99 and would like to see how much money she has left to buy single songs. If each song costs $1.29, how many songs can Mrs. Kuss buy with her remaining money? Show your work.

Answers

Mrs kiss can buy about 31 songs

50.00-9.99 = 40.01
40.01 / 1.29 = 31.0

She initially has $50 and she bought an album of $9. 99 so you subtract those $9.99 from $50 and you are left with $40.01, now you can either divide it by $1.29 to skip the long process or subtract $1.29 at a time. Once you do so, you will get an answer of 31 more songs with $0.02 left. YOU'RE WELCOME :D

hich is an example of a proportional relationship?

A.The yogurt shop charges .30 per pound.
B.The yogurt shop charges .30 per pound plus $1.00 for the cup.
C.John ran 2 miles in 15 minutes then ran 3 miles in 20 minutes.
D.The car travelled 40 mph for half an hour and then travelled 60 mph for 2 hours

Answers

B im sure plz like and put 5star

How to solve 5x-9y=7 and -3x+7y=-5 using any method

Answers

You can solve this by graphing
The x value will give 0.5 and the y value will be equal to -0.5
I hope this helps.
YOU'RE WELCOME :D

The solution to f - (-4) = 12 is f = 8.

True or False

Answers

Answer is true. two -'s turn into + (8+4=12)

True, because 8 +4=12. It's "+4" because 2 negatives make a positive.

A girl starts to walk to her school, which is 20 miles away, at 6:50 and at a rate of 3 miles per hour. After a while, her dad picks her up and drives her through the remainder of the way at 30 miles per hour. If they arrived at school at 9:00, how far did she walk?

Answers

The girl walked 5 miles.

Answer:

She walked 5 mi

If you know how to do this, can you show the work, please?
Thanks

Answers

Answer: The original area of the square is 64 square feet

-------------------------------------
-------------------------------------

Let x be the original side length of the square. The original area is therefore going to be x*x = x^2. For now we don't know the area but once we figure out x, we can compute the area.

The original side length x is increased by 7 ft to jump up to (x+7) ft
At the same time, the other dimension is reduced to (x-2) ft, which is a decrease of 2 ft

The old square is x ft by x ft with area x*x = x^2

The new rectangle is (x+7) ft by (x-2) ft

Let's find the area of this rectangle

Have a look at the image attachment to see how to multiply out (x+7)*(x-2) using the box method

The terms in red are x^2, 7x, -2x and -14 which are found by multiplying the headers

x times x = x^2
x times 7 = 7x
-2 times x = -2x
-2 times 7 = -14

The like terms are 7x and -2x which combine to 5x

Overall the result of multiplying out (x+7)*(x-2) is x^2+5x-14

Note: we can get the same result if we use the FOIL or distribution rule. The box method is a handy way to visually keep track of all the terms.

-------------------------------------

The area of the rectangle, in terms of x, is x^2+5x-14

We are told that the area is 90 square feet

So equate the two expressions and solve for x

x^2+5x-14 = 90
x^2+5x-14-90 = 90-90
x^2+5x-104 = 0
(x-8)(x+13) = 0 ... see note below
x-8 = 0 or x+13 = 0
x = 8 or x = -13

note: find two numbers that multiply to -104 and add to 5. Those numbers are -8 and 13 which helps us factor

We ignore x = -13 as a negative side length makes no sense

The only practical root is x = 8

The side length of the original square is 8 feet

The area is
x*x = 8*8 = 64 square feet

We can check the answer by adding 7 to 8 to get 15, and subtracting 2 from 8 to get 6. The 8 by 8 square turns into a 15 by 6 rectangle. Since 15*6 = 90, we have confirmed the right answer.

Which is an equation of the line with x-intercept 2 and y-intercept 12?

Answers

Your answer should be y=2x+12

A trail is 2940 miles long. it begins in city a and ends in city
b. manfred has hiked three sevenths 3 /7 of the trail before. how many miles has he hiked?

Answers

Final answer:

Manfred has hiked 1260 miles of the trail, which is calculated by multiplying the total length of the trail (2940 miles) by the fraction of the trail he has completed (3/7).

Explanation:

To calculate the distance Manfred has hiked on the trail, we multiply the total length of the trail by the fraction of the trail he has completed. In this case, Manfred has hiked three sevenths (3/7) of the trail. The total distance of the trail is 2940 miles.

Distance Hiked = (Total Distance of Trail) × (Fraction of Trail Completed)

Distance Hiked = 2940 miles × (3/7)

Distance Hiked = 2940 miles × 0.4286

Distance Hiked = 1260 miles

Therefore, Manfred has hiked 1260 miles of the trail.

Please Help With This. What is the equation of the line shown in this graph? Answer your answer in the box.

Points are:
(-2,-3) (3,-3)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ -3}})\quad % (c,d) &({{ 3}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-3-(-3)}{3-(-2)} \\\\\\ \cfrac{-3+3}{3+2}\implies \cfrac{0}{5}\implies 0[/tex]

[tex]\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=0[x-(-2)] \\\\\\ y+3=0\implies y=-3[/tex]

What is the next term in the sequence 1/2 1/6 1/18 1/54

Answers

1/162
2*3=6
6*3=18
18*3=54
54*3=162

root of 108 is between______ and ______
Determine what two whole numbers the square root is between without using a calculator or table. Then use a calculator or table to check.

Answers

Without using a calculator I would say the root is between 10 and 11

How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 = 10.3923

When the function f(x) is divided by x-2 the quotient is 3x^2+8x-4 and the remainder is 9 find the function f(x) and write the result in standard form?

Answers

dividend ÷ divisor = quotient + remainder
∴ dividend = divisor(quotient) + remainder ... there is a reason why I am not multiplying the remainder by the divisor in this case... your remainder is not represent as a fraction with the divisor as the denominator..

[tex]f(x)=(x-2)(3x^2+8x-4)+9=3x^3+8 x^{2} -4x-6 x^{2} -16x+8+9[/tex]
[tex]f(x)=3x^3+2x^2-20x+17[/tex]

The expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

When the function f(x) is divided by (x - 2) the quotient is 3x² + 8x - 4 and the remainder is 9

By using the division algorithm:

f(x) = (x - 2)(3x² + 8x - 4) + 9

After simplification:

f(x) = 3x³ + 8x² - 4x - 6x² - 16x + 8 + 9

f(x) = 3x³ + 2x² - 20x + 17

Thus, the expression for the function f(x) in standard form is f(x) = 3x³ + 2x² - 20x + 17 if the function f(x) is divided by x-2.

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Brock is a plumber. He charges a flat rate of $40 to visit a house to inspect it's plumbing. He charges an additional $20 for every hour he spends inspecting or making repairs.

Which graph below correctly shows the price of using Brock's plumbing service vs time?

Answers

it would be graph W because the cost will increase, so that gets rid of Y... It has to start at 40 for the original cost, getting rid of Z and X

W is correct. the red line starts at 40 which is the initial fee

then it crosses 60 and 1.0 and 80 at 2.0 which is 20 dollars for 1 hour

tell weather the side lengths can form a trangle

Answers

I really think that it can

Triangles XYZ and PQR are drawn on a square grid. What fraction of the area of triangle XYZ is the area of trianglePQR?

Answers

The area of a triangle is given by [tex] \frac{1}{2} bh[/tex].

From the given figure: The base of the bigger triangle is 6 units and the height is 3 units.
The base of the smaller triangle is 3 units and the height is 2 units.

The area of the big triangle is [tex] \frac{1}{2} \times6\times3=9\, square\, units[/tex]
The area of the small triangle is [tex] \frac{1}{2} \times3\times2=3\, square\, units[/tex]

The required fraction is [tex] \frac{3}{9} = \frac{1}{3} [/tex]

To determine the fraction of area of triangle XYZ that is occupied by triangle PQR on a square grid, we can compare their linear dimensions and use the fact that area is proportional to the square of these dimensions, or we can approximate the area through summation of small rectangular areas on the grid. Alternatively, vector methods such as the cross product can provide precise area calculations for triangles with known vertices.

Finding the Area of Triangles on a Square Grid

To find what fraction of the area of triangle XYZ is the area of triangle PQR, we follow several steps. First, we can draw both triangles on a square grid and establish their respective areas. If we assume that XYZ is the larger triangle and PQR is the smaller one, we can use the fact that area scales in proportion to the square of the linear dimensions. This means, if the linear dimensions of PQR are half that of XYZ, the area of PQR would be one-fourth that of XYZ. In mathematical terms, if the side length of XYZ is scaled by a factor of 's', the area is scaled by s².

Another method to approximate the area of irregular shapes like these triangles, as mentioned in a reference, is by dividing the shape into smaller, manageable rectangular areas whose sum approximates the total area. Counting the smallest square units within the grid and making rough estimates of the fractional squares can yield the area as well.

To demonstrate the calculation of the area of a triangle through vector methods, one can use the cross product of two vectors defined by the triangle's vertices. Given vertices A(1,2,3), B(2,4,5), and C(1,-8,0), their position vectors can be used to compute the cross product, and the magnitude of this cross product gives twice the area of the triangle ABC. This is a more advanced method and offers a precise way to calculate the area without relying on the grid.

What is the value of the expression when a = 4, b = 3 ,and c = 10?

3a/4b−c

1
4
6
12

Answers

The answer is C. 6. I hope this helps!

A packet of biscuits has a mass of 1 1/3 kg. Jason eats 2/5 of the packet. What is the mass of biscuits left?

Answers

11 / 3 = 55 / 15;
2 / 5 = 6 / 15;
So. 11 / 3 - 2 / 5 = 55 / 15 - 6 / 15 = 49 / 15 = 3.26 kg is the mass of biscuits left.

The mass of biscuits left after Jason eats 2/5 of the packet is approximately 0.8 kg.

To find the mass of the biscuits left after Jason eats 2/5 of the packet, we need to calculate the mass of the biscuits he ate and then subtract it from the initial mass of the packet.

Given:

Mass of the packet of biscuits = 1 1/3 kg

First, let's convert 1 1/3 kg to an improper fraction:

1 1/3 = 3/3 + 1/3 = 4/3 kg

Now, to find the mass of the biscuits Jason ate, we can use the fact that he ate 2/5 of the packet:

Mass of biscuits Jason ate = (2/5) * (4/3) kg

Now, perform the multiplication:

Mass of biscuits Jason ate = (8/15) kg

To find the mass of biscuits left, we subtract the mass Jason ate from the initial mass of the packet:

Mass of biscuits left = 4/3 kg - 8/15 kg

To subtract fractions, we need to find a common denominator, which is 15 in this case:

Mass of biscuits left = (20/15) kg - (8/15) kg

Now, perform the subtraction:

Mass of biscuits left = 12/15 kg

Finally, let's simplify the fraction:

Mass of biscuits left = (12/15) * (1/3) kg

Mass of biscuits left ≈ 0.8 kg

Therefore, the mass of biscuits left after Jason eats 2/5 of the packet is approximately 0.8 kg.

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Give the first four nonzero terms of the series about x=8 representing the function x^(1/3)

Answers

empire state building

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