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kogti [31]
3 years ago
6

A 500 gallon fish tank is 2/5 full. how much more water is needed to fill the fish tank

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0

Answer:

Step-by-step explanation:

1st way:

  • 2/5 of 500 gallons = 200 gallons
  • 500 gallons total - 200 gallons full = 300 gallons of water

2nd way:

  • 5/5 = 1 (a whole); 5/5 - 2/5 full  = 3/5 more water
  • 3/5(500) = t
  • 3/5 * 500 = 300 gallons of water
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Find the value of the variable y, where the sum of the fractions 6/(y+1) and y/(y-2) is equal to their product.
Blizzard [7]

Answer:

The answer is

y = 3

y =  - 4

Step-by-step explanation:

We must find a solution where

\frac{6}{y + 1}  +  \frac{y}{y - 2}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Consider the Left Side:

First, to add fraction multiply each fraction on the left by it corresponding denomiator and we should get

\frac{6}{y + 1}  \times  \frac{y - 2}{y - 2}  +  \frac{y}{y - 2}  \times  \frac{y + 1}{y + 1}

Which equals

\frac{6y - 12}{(y -2) (y + 1)}  +  \frac{ {y}^{2} + y }{(y - 2)(y + 1)}

Add the fractions

\frac{y {}^{2} + 7y - 12 }{(y - 2)(y + 1)}  =  \frac{6}{y + 1}  \times  \frac{y}{y - 2}

Simplify the right side by multiplying the fraction

\frac{6y}{(y  + 1)(y + 2)}

Set both fractions equal to each other

\frac{6y}{(y + 1)(y - 2)}  =  \frac{ {y}^{2} + 7y - 12}{(y + 1)(y - 2)}

Since the denomiator are equal, we must set the numerator equal to each other

6y =  {y}^{2}  + 7y - 12

=  {y}^{2}  + y - 12

(y  + 4)(y - 3)

y =  - 4

y = 3

6 0
3 years ago
Read 2 more answers
Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $
evablogger [386]

Answer: n= 32

Jakes started with 32

Step-by-step explanation:

Let n represent the initial integer.

Step 1: take the reciprocal.

Reciprocal of n = 1/n

Step 2: double the number obtained in step 1

= 2×1/n = 2/n

Step 3: take the reciprocal of the number obtained in step 2.

Reciprocal of 2/n = n/2

Since he ended up with 16

n/2 = 16

n = 2×16 = 32

4 0
3 years ago
Read 2 more answers
Need Help...
Rudik [331]
<span>|7x-7|+3 = 4x+1  ⇒⇒⇒ add (-3) to both sides
</span>
<span>∴ |7x-7| = 4x - 2
</span>
According to the absolute rule
∴ 7x - 7 = 4x - 2    OR    -(7x - 7) = 4x - 2                                 
    7x - 4x = 7 - 2      l     7x - 7 = -4x + 2                              
   3x = 5                   l     7x + 4x = 2 + 7                                         
  x = 5/3                   l     11 x = 9  ⇒⇒⇒  x = 9/11

∴ x = 5/3  and  9/11


So, the correct answer is option <span>B. 5/3 and 9/11</span>


5 0
3 years ago
Factor the expression. 35g2 – 2gh – 24h2
klasskru [66]
A. 7g-5g=6-4
2g=2
g=2/2
g=1
7 0
3 years ago
Read 2 more answers
Help with this question it's PEMDAS
Dafna11 [192]

[3*(2+4)] -4

Parenthesis first:

[3 * 6] -4

Brackets next:

18 - 4

Now subtract:

18-4 = 14


The answer is C. 14

7 0
3 years ago
Read 2 more answers
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