simplify (2/3 of 21/4)

Answers

Answer 1

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped


Related Questions

Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)




Answers

The answer should be (2,5) (11,2)

Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15

Answers

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

PLssssssss helppppppppppppppppppppppp

Answers

Answer:

6 ft

Step-by-step explanation:

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW

Answers

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

help plsss . 10 points !

Answers

Your answer should be C :-)

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

The product of 2 more than 5 times a number and 4 less than three times a number

Answers

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

What is the sum of -14
and -15?

Answers

-14 + (-15) = -14 - 15 = -29
Hope it helps !!! Brainliest if it is!!

Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

-1 and 3 tenths plus 4 tenths

Answers

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

x ^ 2 − 17x − 60

Which expression is equivalent to the expression above?

(Please explain in simple terms cause, it's usually hard for me to understand)

Answers

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Is the product of a rational number and an irrational number always irrational?

Answers

Answer:

The product of any rational number and any irrational number will always be an irrational number.

Step-by-step explanation:

find the value of x

x = [?]

Answers

Answer

4

Step by step explanation

2/3=x/10-x

cross multiply

2(10-x)=3x

20-2x=3x

20=3x+2x

20=5x

x=4

12.5 x 0.8

(without rounding and pls help me)

Answers

125* 8 = 1000
So answer
12.5* 0.8 = 10

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

After subtracting 20% of a number from a number we get 12975.what was the number?​

Answers

Answer:

Step-by-step explanation:

d

Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them

Answers

Answer:

take a light bulb and a potato and some wires connect together will give light

Answer:

i have attached a pic of an idea that might help you

:)


The shaded rectangle, which is the correct expression of its perimeter

Answers

Answer:

2x + 2y - 4

Step-by-step explanation:

The opposite sides are congruent so perimeter (P) is

P = 2(x + 2) + 2(y - 4)

  = 2x + 4 + 2y - 8

  = 2x + 2y - 4

PLS HELPP , i tried solving this and i wrote 56 but it was wrong so i don’t know anymore pls pls help

Answers

Answer:

y = 68

A = 44

Step-by-step explanation:

No matter what may be true, that doesn't look like an a to me.

x = y = 68                x and y are opposite equal sides and are therefore =.

68 + 68 + A = 180  all triangles are 180 degrees.

136 + A = 180          Subtract 136 from both sides

A = 180 - 136

A = 44

create 5 problems using all operations that has a solution of 5​

Answers

Answer:

((5*5) + (10-5) * (50/100)) ÷ 3 = 5

((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5

Step-by-step explanation:

cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1

Answers

hope you do not mind expressing this on in English ‍♂️

A sofa is on sale for $442, which is 85% of the regular price.

Answers

You probably want to know how much is the regular price:
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$

[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]

Original price is 520

suppose an object traveling in a straight line has a velocity function given by v(t)= t^2 -8t+ 15 km/hr. Find the displacement and distance traveled by the object from t=2 to t=4 hours.

Answers

v=t^2-8t+15

It has upper limit 4 and lower limit 2

[tex]\boxed{\sf {\displaystyle{\int}^b_a}x^ndx=\left[\dfrac{x^{n+1}}{n+1}\right]^b_a}[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int}}vdt[/tex]

[tex]\\ \sf\longmapsto s={\displaystyle{\int^4_2}}t^2-8t+15[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-8\dfrac{t^2}{2}+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left[\dfrac{t^3}{3}-4t^2+15t\right]^4_2[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{4^3}{3}-4(4)^2+15(4)\right)-\left(\dfrac{2^3}{3}-4(2)^2+15(2)\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-64+60\right)-\left(\dfrac{8}{3}-16+30\right)[/tex]

[tex]\\ \sf\longmapsto s=\left(\dfrac{64}{3}-4\right)-\left(\dfrac{8}{3}+14\right)[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-4-\dfrac{8}{3}-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{64}{3}-\dfrac{8}{3}-4-14[/tex]

[tex]\\ \sf\longmapsto s=\dfrac{46}{3}-18[/tex]

[tex]\\ \sf\longmapsto s=15.3-18[/tex]

Take it +ve

[tex]\\ \sf\longmapsto s=|-2.7|[/tex]

[tex]\\ \sf\longmapsto s=2.7km[/tex]

Find all points on the x-axis that are 14 units from the point (5, -7)

Answers

Answer:

can you submit the coordinet plane?

Step-by-step explanation:

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?

Answers

My answer is in the picture

Consider the set A with n(A) = 20.  How many subsets could be formed from this set?​

Answers

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

2. Which type of variation is represented by the following equation?

Answers

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?​

Answers

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

ANSWER FAST 50 POINTS PLEASE !!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

Examine the tile pattern at right

Answers

b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.

c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.

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