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Vladimir [108]
3 years ago
8

Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87​ +2 54​ )− 21​

(, 9, start fraction, 7, divided by, 8, end fraction, plus, 2, start fraction, 4, divided by, 5, end fraction, ), minus, start fraction, 1, divided by, 2, end fraction?
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

12\dfrac{7}{40}

Step-by-step explanation:

The given expression is

\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}

We need to find the simplified form of the given expression.

It can be rewritten as

\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}

Combine integers and fractions separately.

(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})

Taking LCM we get

11+\dfrac{35+32-20}{40}

11+\dfrac{47}{40}

In can be written as

11+\dfrac{40+7}{40}

11+1+\dfrac{7}{40}

12+\dfrac{7}{40}

12\dfrac{7}{40}

Therefore, the expression 12\dfrac{7}{40} is equivalent to the given expression.

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Find the quotient using long division<br> 6x2 - 8x + 5/<br> X-2
joja [24]

Step-by-step explanation:

hope this helps have a great day!

3 0
2 years ago
3. What is the solution to the equation 3x = 15? Express the
ivanzaharov [21]

Answer:

x=2.4650

Step-by-step explanation:

I assume that you mean 3^x=15

so let s use the ln() function

ln(3^x)= xln(3)=ln(15)

so x = ln(15)/ln(3)

x = 2.4650

4 0
2 years ago
In the expression below, a is an integer. 12^3+ax-20 if 3x+4 is a factor of the expession above, what is the value of a
SVEN [57.7K]

Our function is:

f(x)=12^3+ax-20

Now, if 3x+4 is a factor of f(x) then x=\frac{-4}{3} must satisfy the equation:

So, f(\frac{-4}{3} )=0

Putting x=\frac{-4}{3}

We get,

f(\frac{-4}{3} )=12^3+a(\frac{-4}{3} )-20=0

12^3+\frac{-4}{3} a-20=0

\frac{-4}{3} a=20-12^3=20-1708

a=-1708 \times \frac{-3}{4} =1281

So, the value of 'a' for the given expression is 1281.

4 0
3 years ago
What is an equation of the line that passes through the point (3,6)(3,6) and is parallel to the line 4x-3y=214x−3y=21?
polet [3.4K]

<em><u>Question:</u></em>

What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>Answer:</u></em>

<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>

y = \frac{4}{3}x + 2

<em><u>Solution:</u></em>

Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

<em><u>Given equation is:</u></em>

4x - 3y = 21

Rearrange,

3y = 4x - 21

y = \frac{4}{3}x - \frac{21}{3}\\\\y = \frac{4}{3}x - 7

On comparing above equation with eqn 1,

m = \frac{4}{3}

We know that slopes of parallel lines are same

Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3

<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>

6 = \frac{4}{3} \times 3 + c\\\\6 = 4 + c\\\\c = 2

<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>

y = \frac{4}{3}x + 2

Thus the equation of line is found

4 0
3 years ago
How many times could you expect to roll a number that is not 5 if you rolled a standard die 360 times?
Alinara [238K]

The number of times I would expect to roll a number that is not a 5 is 300 times.

<h3>What is the number of times a 5 won't be rolled?</h3>

A standard die has 6 faces. There are 5 numbers that are not 5 on a standard die. They are 1, 2, 3, 4, 6.

The number of times a 5 won't be rolled = (5/6) x 360

5 x 60 = 300 times

To learn more about a standard die, please check: brainly.com/question/20376457

#SPJ1

6 0
1 year ago
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