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3 years ago

How to convert 3.0625 into an improper fraction

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Step-by-step explanation:

=3.0625/ 1

=30625/10000

(multiply top until the decimal goes. and have to multiply by the same number bottom also, here have multiplied by 10000 both bottom and top)

=6125/ 2000

=49/16 (simplify the both bottom and top)

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Ms. Jones won on a state lottery ticket. The attorney informed Ms. Jones that at a 5% discount rate, she could choose to withdra

larisa [96]

Answer:

$354,600

Step-by-step explanation:

The PV (present value) of a USD 100,000 outcome at the end of each year for the next four (4) years is USD 354,600.

Present value (PV) of annuity = USD 100,000 at 5% for 4 years

Present Value of Annuity of $1

= 3.546 × USD 100,000

= $354,600

3 0

3 years ago

Two brothers want to share a large field equally.

Elan Coil [88]

Yes, the partition gives the two brothers equal shares.

Step-by-step explanation:

Step 1:

Assume the entire field has an area of B. So one brother takes $\frac{1}{12} B$ , $\frac{1}{6}B$ , and $\frac{1}{4} B$

So we need to calculate how much this brother takes in terms of B.

To do this we calculate how much $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ is.

Step 2:

To add $\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B$ ,

First take the LCM of the denominators 12, 6, and 4

The LCM is 12, we multiply the denominator to get the LCM value, this same value is multiplied to the numerator too.

$\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B = \frac{1(1)}{12(1)} B + \frac{1(2)}{6(2)} B + \frac{1(3)}{4(3)} B \\\\\frac{1}{12} B + \frac{1}{6} B + \frac{1}{4} B= \frac{1B +2B+3B}{12} = \frac{B}{2}$

Step 3:

One brother gets $\frac{1}{2} B$ , so we need to calculate how much the other brother gets.

The other brother's share = $B - \frac{1}{2} B = \frac{1}{2}B$

So both the brothers get equal shares

7 0

3 years ago

How would I write these problems?

konstantin123 [22]

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

$h=10 cm$ the height of each cup

$H=30 cm$ the total height available in the dispenser

We are told that each cup added to the stack add a height of

$\Delta h = 0.8 cm$

We can therefore solve the problem by writing the following equation:

$H=h+N\Delta h$

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

$N=\frac{H-h}{\Delta h}=\frac{30-10}{0.8}=25$

And including the first cup, the total number of cups is

$N+1=25+1=26$

The equation that we have to solve is

$\frac{5}{2}x-1=-31$

We proceed as follows:

First of all, we add +1 on both sides of the equation,

$\frac{5}{2}x-1+1=-31+1\\\frac{5}{2}x=-30$

Now we multiply by 2 on both sides:

$\frac{5}{2}x\cdot 2=-30\cdot 2\\5x=-60$

And now we divide both sides by 5:

$\frac{5x}{5}=\frac{-60}{5}\\x=-12$

Let's call:

k = Karma's age

f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

$k=\frac{3}{8}f-2$

By combining the two equations,

$13=\frac{3}{8}f-2$

And solving for f, we find:

$\frac{3}{8}f=13+2\\\frac{3}{8}f=15\\3f=15\cdot 8 =120\\f=\frac{120}{3}=40$

So, the father's age is 40.

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

$0.03 x$

This means that the amount of fuel left after x miles is

$16-0.03x$

We also know that the amount of fuel left is 4 gallons, therefore:

$16-0.03x=4\\0.03x=16-4\\0.03x=12\\x=\frac{12}{0.03}=400$

So, 400 miles.

Learn more about equations:

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brainly.com/question/3739260

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6 0

3 years ago

Complete the statement with the term that makes it true.

s344n2d4d5 [400]

Answer:

I think the right answer is 3 I. E deviation abi

6 0

3 years ago

Read 2 more answers

Please you guys should help me answer this it's timed

viva [34]

Answer:

im pretty sure it is a. (2,-3)

6 0

3 years ago