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r-ruslan [8.4K]
3 years ago
13

Question 11 of 20 : Select the best answer for the question. 11. Find the value of x in the equation 2(x – 3) + 5x = 5(2x + 6).

A. 2 B. –12 C. 12 D. –2
Mathematics
2 answers:
ivolga24 [154]3 years ago
7 0
<span>To answer this question, you need to know the rules to move a number to the left or right side of the equal sign. To solve this, you need to move all the x into one side, and then move the number into another side. The calculation would look like this:


2(x – 3) + 5x = 5(2x + 6)
2x -6 +5x = 10x +30
2x+ 5x - 10x = 30 +6
-3x= 36
x= 36/-3= -12</span>
Novosadov [1.4K]3 years ago
4 0
I got -12

2(x-3)+5x=5(2x+6)
2x-6+5x=10x+30
7x-6=10x+30
-3x=36
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NO = ON: reflexive property
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3 years ago
What is the equation and the answer?
Nastasia [14]

Answer:

30

Step-by-step explanation:

So we begin by assigning variables to each side with:

DE = x

EF = y

DF = z

Now we start listing a system of equations from what is given:

x+y+z=81

x=2y

x-4=z

Once we solve that with substitution, we get the result of:

x=34

y=17

z=30.

Since z is the length of DF, the length of DF is 30.

I hope this helped! :D

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3 years ago
Can you determine any purpose why these concepts are present in the pictures?
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4 0
1 year ago
1. 40 lb is what percent of 75 lb?
Alekssandra [29.7K]

Answer:

I think it is 53.3%. I DEEPLY apologize if i'm wrong. <3 Good luck!

7 0
3 years ago
A heat source transfers 3000 J/sec to a metal part surface. The heated area is circular, and the heat intensity decreases as the
Annette [7]

Answer:

The resulting power density is enough to melt the metal.

Step-by-step explanation:

Given data:

Power = P = 3000 J/sec

diameter = d = 3.5 mm

Solution:

As we Know that Area = A = π r² ---- (1)

where r is radius.

Also Radius =  \frac{diameter}{2}

Putting the values of radius, π = 3.14 in equation 1, we get

A = 3.14 x (\frac{d}{2})²

A = 3.14 x (3.5/2)²

A = 9.62 mm²

As 75% of heat is concentrated in circular area then Power P becomes

P = 3000 J/sec x 75 %

As J/sec = Watt = W and 75 % = 3/4

so P = 3000 W x 3/4

P = 2250 W

As power density is represented by the formula:

Power density = PD = P/A

where P is Power and A is area.

So,

PD = P/A

Putting the values of Power and Area in above equation, we get

PD = 2250 W / 9.62 mm²

PD = 234 W/mm²

So, this power density is sufficient to melt the metal.

8 0
3 years ago
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