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Fudgin [204]
4 years ago
15

a graphic designer and her assistant working together can complete an advertising layout in 6 days. The assistant working alone

could complete the job in 16 more days than the designer working alone. How long would it take each person to do the job alone
Mathematics
1 answer:
kow [346]4 years ago
7 0
X= hours needed by the designer 
x+ 16= hours needed by the assistant 

In 6 hours the designer does 6/x of the job 
In 6 hours the assistant does 6/(x + 16) of the job
Together they complete the 1 job


6/x+ 6/( x+16)= 1
6(x+16) +6x =+ x2<span> </span><span>16x
6x+ 96+ 6x= </span>x<span>2+ 16x 
0= </span>x2+ 4x- 96 
0= (x+12)(x-8)
{-12/8}

The designer needs 8 hours and the assistant needs 24 hours.
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You can split this into 2 shapes.

1 of the shapes will be a small square. The dimensions for it would be 4 by 3 (12)

The second shape, the bigger rectangle has the dimensions, 12 by 6 (72)

Now add these two values 12+72 and you get, 84 

you answer is A 84 square inches


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alex41 [277]

Answer:

Answer with explanation and steps are in the following attachment.

Step-by-step explanation:

6 0
4 years ago
Given the equation square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution. x = one fourth, solut
Rainbow [258]

Answer:

x=3, solution is not extraneous

Step-by-step explanation:

we have

\sqrt{8x+1}=5

Solve for x

squared both sides

(\sqrt{8x+1})^2=5^2

8x+1=25\\8x=25-1\\8x=24\\x=3

<u><em>Verify</em></u>

For x=3

\sqrt{8(3)+1}=5

\sqrt{24+1}=5

\sqrt{25}=5

5=5 -----> is true

therefore

x=3, solution is not extraneous

5 0
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Answer:

The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %

3 0
3 years ago
Can someone please help?!
attashe74 [19]

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