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IgorLugansk [536]
3 years ago
8

Falisha spent 2/5 of her money on a bag. she gave 2/3 of the remaining amount to her sister. What fraction of her money was she

left with?​
Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

1/5

Step-by-step explanation:

After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

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Winnie poured 14 cups of water into a rectangular container measuring 13 inches by 7 inches by 6 centimeters. [1 cup = 14.44 cub
Alex_Xolod [135]
Part A: 
<span>Max volume = Volume of container = 13 in x 7 in x 6 in = 546 in^3 </span>

<span>Part B: </span>
<span>1 cup = 14.4375 in^3 </span>
<span>
14 cups = 14.4375 in^3 x 7 = 202.125 in^3 </span>

<span>Part C: </span>
<span>Height of water = (202.125 in^3)/(13 in x 7 in) = 2.22 in.</span>
8 0
3 years ago
this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you ​
lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

4 0
3 years ago
Elizabeth has $10, $5, and $1 bills worth $101. she has five more five dollar bills than ten dollar bills and 4 times more 1 dol
vesna_86 [32]

Let x be number of $10 dollar bills

Let y be number of $5 dollar bills

Let z be number of $1 dollar bills

From the question, we can come up with three equations (so we can find the values of x, y & z) :

  • 10x + 5y + z = 101
  • y - x = 5
  • z = 4x

The first equation comes from finding the total money Elizabeth has, which is $101.

The second equation comes from value of y (number of $5 bills) is more than value of x (number of $10 bills) by 5 dollars.

The third equation comes from the value of z (number of $1 bills) being 4 times more than the value of x (number of $10 bills).

Now, we will begin to find the value of x, y & z.

From the first equation,

10x + 5y + z = 101

Substitute the third equation (z = 4x) into z:

10x + 5y + 4x = 101

Simplify this and you get,

14x + 5y = 101

Now, we use the second equation. The second equation is y - x = 5. If we try to make y as the subject, it becomes y = 5 + x.

Now, substitute this into the value of y of the last working we did:

14x + 5(5+x) = 101

Simplify that and it becomes:

x = 4

Then, substitute this value of x into the second and third equations to find y and z.

y - x = 5

y - 4 = 5

y = 9

z = 4x

z = 4(4)

z = 16

Finally, let's check these answers by substituting them into the first equation to try and see if the total value is <em>really</em> $101.

10x + 5y + z = 10(4) + 5(9) + 16

10x + 5y + z = 40 + 45 + 16

10x + 5y + z = 101

Thus, our answers are correct. Elizabeth has FOUR $10 bills, NINE $5 bills and SIXTEEN $1 bills.

6 0
3 years ago
Read 2 more answers
Please someone help quickly thank you very much
Tema [17]

Answer:

I think the answer is 81.

Step-by-step explanation:

Vertical angles are congruent.

x + 3 = 84

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3 0
3 years ago
Need help solving for X
MAXImum [283]
I believe that x=20 from the math i did hopefully its helpful.
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3 years ago
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