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BartSMP [9]
3 years ago
9

Which algebraic expression is equivalent to the expression below? 8(5x + 1) + 3(9 - x) A. 37x - 35 B. 37x + 19 C. 37x + 35 D. 43

x + 35
Mathematics
1 answer:
brilliants [131]3 years ago
5 0

Answer:

C. 37x + 35

Step-by-step explanation:

8(5x  + 1) + 3(9 - x) \\  \\40x + 8 + 27 - 3x \\ 40x - 3x + 27 + 8 \\ 37x + 35

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Factor completely<br><br> 20x^2 y - 4xy<br><br> Someone put steps for me when solving, thank you
zavuch27 [327]

20x^2y - 4xy

First, we look at what terms are common between each term.

There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.

Each term also includes at least one x, and one y, so x and y are also factors.

We can factor a 4, an x, and a y out of this.

<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
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3 years ago
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3 years ago
What two fractions are equivalent to 3/10
d1i1m1o1n [39]

Answer:

6/20 and 9/30

Step-by-step explanation:

Any fraction that can be simplified to 3/10 by dividing the numerator and the denominator is considered equivalent. If you look at the fractions above 6/20 is literally the same thing as 3/10 but I just multiplied the 3 and 10 times 2. As long as you multiply/divide both the numerator and the denominator by the same number the answer you get should be equivalent.

8 0
3 years ago
Hi, can someone help me on this. I'm stuck --
CaHeK987 [17]

Answer:

a) Fx=-5N  Fy=-5*sqrt(3) N   b) Fx= 5*sqrt(3) N    Fy=-5N

c) Fx=-5*sqrt(2) N    Fy=-5*sqrt(2)   N

Step-by-step explanation:

The arrow's F ( weight) component on axle x  is Fx= F*sinA  and on axle y is

Fy=F*cosA

a) The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(30)= -5 N      Fy= -10*cos(30)= -10*sqrt(3)/2= -5*sqrt (3) N

b) Now the x component  is co directed to axle x , and y component is opposite directed to axle y.

So x component is positive and y components is negative

So Fx = 10*sin(60)= 5*sqrt(3) N       Fy= -10*cos(60)= -10*1/2= -5 N

c)The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(45)= -5*sqrt(2)  N    

 Fy= -10*cos(45)= -10*sqrt(2)/2= -5*sqrt (2) N

8 0
4 years ago
3 rooms are occupied by disease x, 4 by disease y, 2 rooms by disease z and 1 by disease a. What is the probability that a rando
Anna71 [15]

Answer:

6/10

Step-by-step explanation:

[P(x) + P(z) + P(a)]/P(all) = (3+2+1)/(3+4+2+1) = 6/10

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3 years ago
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