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cricket20 [7]
2 years ago
8

Simplify the expression: –3(9 − x) =

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0

Answer:

Expand  -3(9-x): -27 + 3x

Step-by-step explanation:

-3(9-x)

Apply the distributive law: a(b-c)=ab-ac

a = -3, b=9, c=x

=-3*9-(-3)x

Apply minus - plus rules:

-(-a)=a

= -3*9+3x

Multiply the numbers: 3 * 9 = 27

=-27+3x

Hope this helps! If so, may I get Brainliest and a Thanks?

Thank you, have a good one! =)

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Combine as indicated by the signs. 8-y/3y + y+2/9y - 2/6y
Taya2010 [7]

Answer:

26 + y

----------

   9y


Step-by-step explanation:

Your using parentheses here would remove a great deal of ambiguity.  Looking at your 8-y/3y + y+2/9y - 2/6y, I have interpreted it to mean:

(8-y)/3y + (y+2)/9y - (2/6)y.  For example, without parentheses, your 8-y/3y might be interpreted differently, as 8   -   y/(3y), or 8 - 1/3.

Looking at (8-y)/3y + (y+2)/9y - (2/6)y again, we see three different denominators:  3y, 9y and 6 y.  The LCD here is 9y.  Multiplying all three terms of  (8-y)/3y + (y+2)/9y - (2/6)y by the LCD, we get:

3(8-y) + (y+2) + 3y.  We must now divide this by the LCD:

3(8-y) + (y+2) + 3y

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

            9y

Next we need to perform the indicated multiplication:

24 - 3y + y + 2 + 3y

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

            9y

and then to combine like terms:

24 + 2 - 3y + y + 3y,           26 + y

----------------------------   or    -----------

              9y                             9y

7 0
3 years ago
Read 2 more answers
the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.
never [62]
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

4 0
3 years ago
Marley bought an action figure for $10.99, a board game for $24.95 and a book for $5.99. She paid with a $50 bill. How much chan
Crazy boy [7]
The change she received back would be $8.07

6 0
2 years ago
Read 2 more answers
7. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The T
Anit [1.1K]

Answer:

Modification has not reduced the number of accidents.

Step-by-step explanation:

H_0: \mu\geq0\\H_a:\mu

                                 A  B  C   D   E   F  G   H

Before modification 5  7  6   4    8   9   8   10

After modification    3  7  7   0    4   6   8    2

Difference                -2 0  1   -4   -4   -3  0   -8

Mean of differences M_d = \frac{sum}{8}=\frac{2+0-1+4+4+3-0+8}{8}=2.5

Standard deviation of differences = \sqrt{\frac{\sum(x-\bar{x})^2}{n}}=2.9277

Formula of paired t test :

t=\frac{M_d}{\frac{s}{\sqrt{n}}}\\t=\frac{2.5}{\frac{2.9277}{\sqrt{8}}}\\t = 2.4152

Df = n-1 = 8-1 =7

t critical = t_{(df, \alpha)}=t_{7,0.01}=2.998

t critical> t calculated

So, We failed to reject null hypothesis

Hence modification has not reduced the number of accidents.

6 0
3 years ago
The quotient of s and three
Doss [256]

Answer:

s/3

Step-by-step explanation:

The quotient means you divide the two values.

7 0
2 years ago
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