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Alinara [238K]
3 years ago
12

Liliana solved the equation below. When she tried to verify her answer, she realized she made an error.

Mathematics
2 answers:
katrin2010 [14]3 years ago
6 0
It should be :
1/3(x + 18) = 7
1/3x + 6 = 7
1/3x + 6 - 6 = 7 - 6
1/3x = 1
x = 3
Softa [21]3 years ago
4 0

Answer:

(B)

Step-by-step explanation:

The given expression is:

\frac{1}{3}(x+18)=7

Upon solving the above expression, we get

\frac{1}{3}(x+18)=7

Step 1. Solving the above equation, we get

\frac{1}{3}x+6=7

Step 2. Subtracting 6 on both the sides of the above equation, we have

\frac{1}{3}x+6-6=7-6

Step 3. The equation can be written as:

\frac{1}{3}x=1

Step 4. Cross multiplying the above equation , we have

x=3

She made an error in step 2 as she added 6 on right hand side but in actual we have to subtract 6 on that side.

Thus, option (B) is correct.

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Combine like terms. What is a simpler form of the expression?<br> -3(-4y+3)+7y
kupik [55]

Answer:

19y - 9

Step-by-step explanation:

-3(-4y + 3) + 7y =

Distribute the -3.

= 12y - 9 + 7y

Combine like terms: 12y + 7y

= 19y - 9

8 0
3 years ago
Find two numbers, if their sum is 49 and their difference is 1/2 .
amm1812

Answer:

x=24\frac{3}{4}\\ y=24\frac{1}{4}

Step-by-step explanation:

Let the two numbers be x and y

So we have:

x +y = 49\\x-y=\frac{1}{2}

using the elimination method, add the two equations together:

2x=49\frac{1}{2} \\2x=\frac{99}{2}

solve for x:

x=\frac{99}{4}\\x=24\frac{3}{4}

substitute our value for x back into the first equation we made:

x+y=49\\(\frac{99}{4}) + y=49\\y=49-\frac{99}{4}\\y=\frac{97}{4} \\ y=24\frac{1}{4}

therefore,

x=24\frac{3}{4}\\ y=24\frac{1}{4}

6 0
3 years ago
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Vladimir79 [104]
Refer to the graph shown below. It confirms that points A, B and P are
 collinear.

Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
   = 8.9443

Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
   = 4.4721

Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.

Answer:  2:1 ratio.

7 0
3 years ago
Please explain and ANSWER this question for BRAINLIEST!
pogonyaev

Answer:

155 in^{2}

Step-by-step explanation:

Hope this work helps

4 0
2 years ago
From a balloon 915 feet high, the angle of depression to the ranger headquarters is 85°14'. How far is the headquarters from a p
zalisa [80]
<span>tan(85°14') = 915/d 
hope this helps

</span>
3 0
3 years ago
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