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lorasvet [3.4K]
2 years ago
6

5/3x-4/3x-1=8 solve please

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:x=27

Step-by-step explanation:

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There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
rodikova [14]

Answer: a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) The coins are worth of 91 dollars i.e. $91 in the piggy bank.

Explanation:

Since we have given that

For every 2 nickels there are 3 dimes ,

So, their ratio will be 2:3

and for every 2 dimes there are 5 quarters.\,

So, their ratio will be 2:5

Now, we'll first find the ratio of nickles to dimes to quarters i.e.

Nickle  Dimes  Quarters

2            3

             2               5

So, it becomes ,

Nickle : Dimes : Quarters

2×2     : 3×2        : 3×5

4         : 6            :  15

Now, let the number of nickle be 4x

Let the number of dimes be 6x

Let the number of quarters  be 15x

According to question,

4x+6x+15x=500\\\\25x=500\\\\x=\frac{500}{25}=20

So, number of nickels is given by

4x=4\times 20=80

Number of dimes is given by

6x=4\times 20=120

Number of quarters is given by

15x=4\times 20=300

As we know that

1\ nickel=5\ cents\\\\1\ dime=10\ cents\\\\1\ quarter=25\ cents

So, According to our question, we get

80\times 5+120\times 10+300\times 25=400+1200+7500=9100\ cents\\\\1\ cent=0.01\ dollar\\\\9100\ cents=9100\times 0.01\ dollars=91\ dollars.

Hence,

a) Number of nickels, dimes, and quarters are 80, 120, 300 respectively.

b) the coins are worth of 91 dollars i.e. $91 in the piggy bank.


7 0
2 years ago
All of the following expressions are equivalent except _____.
defon

Answer:

3. x-2

Step-by-step explanation:

Let's start with 1. we know that 2-x is the same as -2+x and since addition can be written as -2+x or x+(-2) and equal the same thing, we know that x-2 is the one that is not equivalent.

4 0
3 years ago
What is the equation of the line in slope-intercept form?<br><br><br> pls help i cant get this wrong
VARVARA [1.3K]

Answer:

y=mx+b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Just want to double check if I'm correct? Tysvm!
kakasveta [241]

Answer: Yes, you're right.

Step-by-step explanation:

8 0
2 years ago
When a number is multiplied by itself and 2 is added to it, the result is 227. What is the number?​
Ede4ka [16]

Let number be x

\leadsto \sf {x}^{2} + 2 = 227

\\  \\

\leadsto \sf {x}^{2} = 227 - 2

\\  \\

\leadsto \sf {x}^{2} = 225

\\  \\

\leadsto \sf {x} =  \sqrt{225}

\\  \\

\leadsto \sf {x} =  \sqrt{15 \times 15}

\\  \\

\leadsto \sf {x} =  15

Number = 15

7 0
2 years ago
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