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pantera1 [17]
2 years ago
7

mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should

he pour in each bowl?
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
3 0

Answer:

2.4

Step-by-step explanation:

1/5=0.2

7.2/3=2.4

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The answer is 5,-2,-3 but i need help with steps that make sense
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\left\{\begin{array}{ccc}x+3y-z=2\\4x+2y+5z=1\\3x+z=12&\to z=12-3x\end{array}\right\\\\\text{substitute the value of z to the first and second equation}\\\\\left\{\begin{array}{ccc}x+3y-(12-3x)=2\\4x+2y+5(12-3x)=1\end{array}\right\\\\\left\{\begin{array}{ccc}x+3y-12+3x=2&|+12\\4x+2y+60-15x=1&|-60\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=14&|\cdot2\\-11x+2y=-59&|\cdot(-3)\end{array}\right

\underline{+\left\{\begin{array}{ccc}8x+6y=28\\33x-6y=177\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\ \ \ \ \ \ \ 41x=205\ \ \ \ |:41\\.\ \ \ \ \ \ \ x=5\\\\\text{substitute the value of x to the first equation}\\\\4(5)+3y=14\\20+3y=14\ \ \ \ |-20\\3y=-6\ \ \ \ \ |:3\\y=-2\\\\\text{substitute the value of x to the equation:}\ z=12-3x\\\\z=12-3(5)=12-15=-3\\\\x=5,\ y=-2,\ z=-3\to(5,\ -2,\ -3)

6 0
3 years ago
Skylar plans to use $3400 to open a savings account with an annual interest rate of 1.15%. How much more interest will he earn o
Tanzania [10]

Answer:

$ 2.5

Step-by-step explanation:

Given that

Total Amount to be invested = P = $3400

Total Time of investment = t = 13 years

Rate of interest = r = 1.15 %

Lets calculate Simple interest first

As we know formula for simple interest is

A = P (1 +r)^{t}

Substituting the values

A = 3400(1+ \frac{1.15}{100} )^{13}

A =  $ 3944.9

Lets now calculate the compound interest

As we know formula for simple interest is

A = P (1 + \frac{r}{n})^{nt}

 As compound interest applies every 3 months so n =3

So,

A = 3400 (1 + \frac{1.15}{100*4} )^{13*4}

A  = $ 3947.4

Now Lets calculate how much more he will earn using compound interest.

It can be found by taking difference of compound interest and simple interest

Amount = 3947.4 - 3944.9 = $ 2.5

So Skyler must have earned 2.5 dollar more using the compound interest.

8 0
3 years ago
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