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Nutka1998 [239]
2 years ago
5

Simplify this expression: 3(x + 4.5) + 2(2.6x – 3) 1. Distribute the 3 and 4 through the parentheses: 3(x) + 3(4.5) + 2(2.6x) -

2(3) 2. Find each product:
3x + 13.5 + 5.2x - 6 3. Combine like terms:
Mathematics
2 answers:
neonofarm [45]2 years ago
6 0

Answer:

8.2x+7.5

Step-by-step explanation:

2nd option

Alex Ar [27]2 years ago
3 0
In order to combine like terms, they have to first be organized. First combine the terms with the variable x, then the terms with no variables.

3x+13.5+5.2x-6
3x+5.2x=8.2x
13.5-6=7.5

The final simplified expression is 8.2x+7.5.
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Which mathematical statement matches the vector operation shown in the geometric representation?
Sunny_sXe [5.5K]

Answer:

First Option v+w = u

Step-by-step explanation:

To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of a + b.

In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.

Therefore we can say that v + w = u.

The answer is the first option

7 0
2 years ago
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If AD = 2/3 AB , what is the ratio of the length of arc BC to the length of arc DE
uysha [10]

You have :

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

DE arc = ( pi ) ( AD ) ( 2.36 radians / 2 pi radians ) = ( 2/3 ) ( AB ) ( 2.36 radians / 2 )

DE arc = ( 2/3 ( AB ) ( 1.18 radians )

BC arc = ( pi ) ( AB ) ( 1.18 radians / 2 pi radians )

BC arc = ( AB ) ( 0.59 radians )

BC arc / DE arc = ( AB ) ( 0.59 radians ) / ( 2/3 ) ( AB ) ( 1.18 radians )

BC arc / DE arc = ( AB ) ( 0.59 rad ) / ( 2/3 ) ( AB ) ( 1.18 rad )

BC arc / DE arc = ( 3/2 ) ( .59 rad / 1.18 rad ) = 3/4 <-------

6 0
2 years ago
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6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di
ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0
2 years ago
Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices
iVinArrow [24]

Answer: 12.5

Step-by-step explanation:

6 0
2 years ago
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GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

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therefore

the answer is

the equation y=-\frac{x}{21}+30

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2 years ago
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