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Oksanka [162]
3 years ago
8

Five rational numbers between -1 and -2

Mathematics
1 answer:
Vika [28.1K]3 years ago
6 0

Answer:

-1/2, -1/3,-1/4,-1/5

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Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the
Ratling [72]

Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

1564 -34y + 39y = 1669

5y = 1669 - 1564

5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

4 0
3 years ago
Factor 30b2 + 48b - 24
iogann1982 [59]
IM going to assume that the "2" is to be squared. If so, then the answer is 2(15x^2+8)
6 0
3 years ago
Solve the system using elimination.
Molodets [167]

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16  [Equation 1]

-x + 3y = 10 [Equation 2]

<u>Adding both equations</u>

  • x - x - 5y + 3y = -16 + 10
  • -2y = -6
  • y = 3

  • x - 5(3) = -16
  • x - 15 = -16
  • x = -1

<u>Solution</u> : (-1, 3)

5 0
2 years ago
Read 2 more answers
Graph the line with slope 1/4 and y intercept -2
andrey2020 [161]

Answer:

y= 1/4x -2

Step-by-step explanation:

Y=mx+b

m is the slope

b is the y intercept

8 0
2 years ago
Read 2 more answers
Revenue
denis23 [38]

Answer:

Step-by-step explanation:

Given that a  small business assumes that the demand function for one of its new products can be modeled by

p=ce^{kx}

Substitute  the given values for p and x to get two equations in c and k

40 = ce^{1200k} \\45 = ce^{1000k}

Dividing on by other we get

\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589

Substitute value of k in any one equation

45 = ce^{-0.589} \\c=45.02651

b) Revenue of the product is demand and price

i.e. R(x) = p*x = 45.02651xe^{-0.000589x}

Use Calculus derivative test to find max Revenue

R'(x) = 45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0
3 years ago
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