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3 years ago

What is: 2/3 X 5/6 X 14 = ___.

1 answer:

3 0

Lets start with 2/3 × 5/6 so first we multiply the numerator with the numerator and then the denominator with the denominator: 2×5 and 3×6
so after we multiply the numerators we get 10 and after multiplying the denominators we get 18
10/18 is our new fraction
next we have 10/18 × 14 so we multiply 14 with the numerator and we get our new numerator of 140
and our new fraction is 140/18 which also means 140 ÷ 18
now 18 can go into 140 only 7 times as a whole but then afterwards there is a remainder of 14
so 140/18 = 7 14/18 but 14/18 can be simplified since the have a GCF of 2
so you divide the numerator and denominator by 2 and get 7/9
7 7/9 is your answer i hope this helps

You might be interested in

Mathew ran 3/8 mile and then walked 7/10 mile which pair of fractions can he use to find how far he went in all

jeka57 [31]

Answer:

15/40 and 28/40

Step-by-step explanation:

3/8 = 15/40

7/10 = 28/40

15+28=43

1 3/40

(I wasn't sure what the question really wanted)

5 0

3 years ago

What is the product

djverab [1.8K]

Answer:

The product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Step-by-step explanation:

Given : Two matrix

$A=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}$

and $B=\begin{pmatrix}2\\ \:0\\ \:1\end{pmatrix}$

We have to find the product of given matrix

$AB=\begin{pmatrix}3&6&1\\ 2&4&0\\ 0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}$

Multiply the rows of first matrix by the columns of second matrix , we have,

$\begin{pmatrix}3&6&1\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=3\cdot \:2+6\cdot \:0+1\cdot \:1$

$\begin{pmatrix}2&4&0\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=2\cdot \:2+4\cdot \:0+0\cdot \:1$

$\begin{pmatrix}0&6&2\end{pmatrix}\begin{pmatrix}2\\ 0\\ 1\end{pmatrix}=0\cdot \:2+6\cdot \:0+2\cdot \:1$

$=\begin{pmatrix}3\cdot \:2+6\cdot \:0+1\cdot \:1\\ 2\cdot \:2+4\cdot \:0+0\cdot \:1\\ 0\cdot \:2+6\cdot \:0+2\cdot \:1\end{pmatrix}$

On , simplifying , we get,

$AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

Thus, the product of given matrix is $AB=\begin{pmatrix}7\\ 4\\ 2\end{pmatrix}$

4 0

3 years ago

Read 2 more answers

What is the equation that passes through the point(-4,-4) and has a slope of 1/6

barxatty [35]

Answer:

y = 1/6x - 3 1/3

Step-by-step explanation:

y = mx + b

-4 = 1/6 (-4) + b

-4 = -2/3 + b

-4 + 2/3 = b

-3 1/3 = b

7 0

3 years ago

Solve, using linear combination.

Bingel [31]

Multiply the first equation by -1 to get -4x - y = --5

Then add the second equation 3x + y = 3

+ ____________

-x = -2 or x = 2

then plug in 2 for x in one of the equations and solve for y 4(2) + y = 5

8 + y = 5

Subtract 8 from both sides y = -3

So x = 2, y = -3 or (2,-3)

8 0

3 years ago

Please solve this in 2 parts as stated... thank you!

fredd [130]

Solve the equation we have that:

a. S = 3V²/ 4

b. S = 108 feet

<h3>How to solve the parameters?</h3>

We have the equation to be;

V = 2√3S

Where;

V is the speed
S is the length

Let's make S the subject from the formula, divide both sides by 2√2S = v/ 2. Take square of both sides:

$(\sqrt{3S} )^2 = \frac{V^2}{4}\\3S = \frac{V^2}{4}$

Now we need to divide both sides by three:

S = 3V²/ 4

b. If v = 12miles per hour, substituting in the equation found earlier:

S = 3 (12²)/ 4

S= 432/ 4

S = 108 feet

Thus, the formula for the length is S = 3V²/ 4

Learn more about speed here: brainly.com/question/7359669

#SPJ1

4 0

1 year ago