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Colt1911 [192]
2 years ago
10

Find the least common denominators of these two rational experssions -1/y and 2/5y

Mathematics
1 answer:
algol132 years ago
6 0
The least common denominator is 5y, and can be obtained by multiplying 
-1/y by 5/5 to get -5/5y. 

If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
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Help Please! Giving 98 points!
shusha [124]

Answer:

the anser is B. btw you should try the website Desmos. Its a graph calculater

Step-by-step explanation:


4 0
2 years ago
2.) Bob has two weekend jobs. Last weekend he made a total of $77 after
aalyn [17]

Answer:

Step-by-step explanation:

x= money earned per hour working as a cashier.

y=money earned per hour working delivering newspapers.

We propose the following system of equations:

5x + 4y =77

6x + 3y=78

We solve the system by reduction method:

-6*(5x+4y=77) ⇒  -30x-24y=-462

5*(6x+3y=78)⇒     30x+15y=390

                             ---------------------------

                                     -9y=-72  ⇒   y=-72 /-9=8

Now, we get the value of "x" replacing the value of "y" by "8" in any part of the equation above.

5x + 4(8)=77

5x+32=77

5x=77-32

5x=45

x=45/5=9

therefore;  

money earned per hour working as a cashier= $9/ hour

money earned per hour working delivering newspapers=$8/hour

3 0
2 years ago
Read 2 more answers
Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a p
pychu [463]

Answer:

The value of x is \frac{10}{3} hours.

Step-by-step explanation:

Machine A = 5 hours

Machine B = x hours

Machine A and B = 2 hours

Using the formula: \frac{T}{A}  + \frac{T}{B} = 1

where:

T is the time spend by both machine

A is the time spend by machine A

B is the time spend by machine B

\frac{2}{5}  + \frac{2}{x}  = 1

Let multiply the entire problem by the common denominator (5B)

5x(\frac{2}{5}  + \frac{2}{x} = 1)

2x + 10 = 5x

Collect the like terms

10 = 5x - 2x

10 = 3x

3x = 10

Divide both side by the coefficient of x (3)

\frac{3x}{3}  = \frac{10}{3}

x = \frac{10}{3} hours.

Therefore, Machine B will fill the same lot in \frac{10}{3} hours.

7 0
2 years ago
After getting 10% discount a customer paid RS 2034 with 13% VAT to buy a bag from a retailer. If the retailer made a profit of 2
german

Answer:

33.33%

Step-by-step explanation:

We are told that the customer paid Rs. 2034 after getting 10% discount with 13% vat on marked price (m.p.)

hence:-

2034 = m.p. × 90/100 × 113/100

m.p = (2034 × 100 × 100)/(90 × 113)

m.p. = Rs.2000

Now, due to the fact that VAT (which in this question is given to be 13%) is not the profit of the retailer, thus the selling price (s.p.) of the bag would be given by;

s.p = m.p. × 90/100

s.p = 2000 × 90/100

s.p = Rs. 1800

We are told that the retailer made a profit of 20%

Thus:-

c.p. × 120/100 = s.p.

c.p.= s.p. × 100/120

c.p.= 1800 × 100/120

c.p. = Rs.1500

Therefore, the percentage with which he marked above the c.p is;

% mark up = (m.p - c.p)/c.p) × 100

Plugging in the relevant values, we have;

(2000 - 1500)/1500) × 100

(500/1500) × 100 = 33.33%

7 0
2 years ago
Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.
klemol [59]
Hey there!

x= # of gallons of the 35% acid solution

Equation- 0.5 gal (0.1) + x gal (0.35) = (0.5 + x)(0.15)
x= .125 gallons

Hope this helps!

7 0
2 years ago
Read 2 more answers
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