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igomit [66]
3 years ago
9

What is the value of x in the equation 2(x-3)+9=3(x+1)+x ?

Mathematics
1 answer:
Masja [62]3 years ago
4 0

Answer:

c. x = 0

Step-by-step explanation:

2(x-3)+9=3(x+1)+x

⇔

2x - 6 + 9 = 3x + 3 + x

⇔

2x + 3 = 4x + 3

⇔

2x = 4x

⇔

4x - 2x = 0

⇔

2x = 0

⇔

x = 0

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A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.
topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0
2 years ago
How many angles is in a hexagon
andrezito [222]
A hexagon has Six sides
8 0
2 years ago
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Ivanshal [37]

Answer:

D) 2x<u>2</u>

Step-by-step explanation:

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8 0
3 years ago
Find the image of (–7, –3) reflected across the x-axis. A. (–7, 3) B. (7, –3) C. (7, 3) D. (–7, –3)
Naddika [18.5K]

Answer:

(-7, -3) (Answer A)

Step-by-step explanation:

We start with the point (-7, -3).  The x-coordinate does not change at all if we reflect this point across the x-axis.  Whereas the y-value of (-7, -3) is -3, we end up with +3 after this reflection.  The desired image is (-7, +3)  (Answer A)

8 0
2 years ago
Ben has 18 photos to put in a photo album. He can put 4 in each page if he fills 4 pages, how many photos are on the fifth page?
Oksana_A [137]

Answer:

since 4 * 4 = 16

we can subtract 18-16=2

so the answer is 2


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2 years ago
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