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alina1380 [7]
2 years ago
12

Tracy can wallpaper 7 rooms in a new house in 21 hours. together with her trainee they can wallpaper the 7 rooms in 12 hours. ho

w long would it take the trainee working by herself to do the​ job? round to the nearest tenth.
Mathematics
1 answer:
Lilit [14]2 years ago
8 0
The first thing we must do for this case is to define a variable.
 We have then:
 x: time it takes the trainee to do the work alone.
 For this case we have the following equation:
 7/21 + 7 / x = 7/12
 Solving for x we have:
 x = 28 hours
 Answer:
 
it would take the trainee working by herself about:
 
x = 28 hours
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What is the slope of the line y = -5x +1 ?
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Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

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3 years ago
A number line going from 0 to 3 in increments of 3.
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Answer:

2 divided by 1/2 is 4.

Step-by-step explanation:

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3 years ago
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Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice
shepuryov [24]

Answer:

Step-by-step explanation:     This is five-fold proportion

The first ratio gives solution namely

We will write general proportion  

a:b= c:d= e:f = g:h= i:j = k

According to this the first ratio gives coefficient k

When we divide 24/2 =12 our coefficient k=12

In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

In the fourth we will divide 108 with 12 and get 9.

In the fifth we will multiply 15 with 12 and get 180.

Finally the ratio is 24:2=36:3=66:5.5=108:9=180:15

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3 years ago
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What is the factorization of 729x^15 + 1000?
Tcecarenko [31]

Answer:

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This is a case of a sum of cubes.

729 is the cube of 9

1000 is the cube of 10

x¹⁵ is the cube of x⁵

A sum of perfect cubes can be factored into 

(a + b) (a² - ab + b²)

(9x⁵+ 10) ((9x⁵)²-(9x⁵)(10) + 10²)

(9x⁵ + 10) (81x¹⁰ - 90x⁵ + 100) THIS IS THE FACTORIZATION

9x⁵ (81x¹⁰ - 90x⁵ + 100) + 10(81x¹⁰ - 90x⁵ + 100)

729x¹⁵ - 810x¹⁰ + 900x⁵ + 810x¹⁰ - 900x⁵ + 1000

729x¹⁵ - 810x¹⁰ + 810x¹⁰ + 900x⁵ - 900x⁵ + 1000

729x¹⁵ + 1000

Step-by-step explanation:

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2 years ago
Rewrite f(x)=2(2-1)^2+3 from vertex form to standard
Ostrovityanka [42]
F(x)=3^2+3
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