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3 years ago

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Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. W

hat was the amount of each of those checks?

1 answer:

elena55 [62]3 years ago

8 0

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was for $140.41

You might be interested in

Which problem will have the greater quotient, 376.0 divided by 92 OR 376 divided by 93.01? Explain how you know logically

xxTIMURxx [149]

1. 376.0 / 92 = ?

2. 376 / 93.01 = ?

So the question asks us which quotient will be greater. In plain English it is asking which of the two, ?, will be greater. Seeing how the question is asking for a logical answer we are not going to actually solve the problem. Instead we will use logic.

First let's do some examples, and explain more in-depth how division works.

A. 6/3 = 2
B. 6/2 = 3

In this case, B is greater than A.

Greater than being any number that is larger than another on a scale reading from left to right, so if you were to count out all the way to the number the one that comes first is lower in value than the one that comes second.

Division works like this: Say we have a full delicious pie. We want to divide it up into 12 pieces so all our friends can have some. What we're doing is simply finding a value that if multiplied by 12 would equal our 1 pie. If you instead divided it by 24 you would have even SMALLER pieces of pie.

A. 5/2
B. 5/3

You might not be able to answer this one, but say our pie is equal to 5. For A. imagine we take a pie and cut it in half. Now for B. imagine a pie and cut it into 3 equal sized pieces. Which one will have the bigger individual pieces? A. will!

Keep in mind that the individual size of the piece would be the quotient (the quotient just means the answer to a division problem).

Now to quickly dismiss the 376.0, When you add 0's to the DECIMAL you do not change the value.
If you did then, 0.0 wouldn't still be 0. Or 1.0 wouldn't still be 1. The .0 is just a place holder and signifies nothing. Don't get this confused with adding a zero to the end of a number, because that does change the value (except in the case of 0). 1 with an extra zero becomes 10, and so on.

So let's tackle this problem!
A. 376.0 / 92
B. 376 / 93.01

In the end the .0 is meaningless so it's the same as this:
A. 376 / 92
B. 376 / 93.01

All we are looking for is the dividend that is smaller. (A dividend being what is dividing a number. In the case of 4/2 the dividend is 2. 5/2, the dividend is 2. 6/3, the dividend is 3. So in other words the dividend is the number after the division symbol, or in this case the slash (they are the same)).

So let's see, which is smaller? 92, or 93.01.
Whichever is smaller is going to have a bigger slice of pie than the other one. So, 92. Is our answer.

Note that this reasoning worked, because the numerator (376) is the same on both division problems. If they differed we wouldn't be able to use the same logic (at least as easily as we did in this problem!).

3 0

2 years ago

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago

PLEASE HELP ASAP!!!!!!!!!!!!!!

lianna [129]

Answer:

$n^{25}$

Step-by-step explanation:

Hi!

So, a radical is basically a fractional power.

Square roots are numbers to the 1/2.

For example, the square root of 4 is just $4^\frac{1}{2}$ , or 2.

So for cube root, the 1/2 changes to a 1/3.

This can then be rewritten as $n^\frac{75}{3}$

or $n^{25}$

4 0

2 years ago

The polynomial of degree 5, P ( x ) , has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

pickupchik [31]

Answer:

Step-by-step explanation:

(x-3)(x-3)(x²)(x+2)

(x²-6x+9)(x³+2x²)

x^5+2x^4-6x^4-12x^3+9x^3+18x^2

x^5 - 4x^4 - 3x^3 +18x^2

4 0

3 years ago

The Farmer Supply is building storage building for fertilizer shaped top. The that has cylindrica base and cone county laws say

creativ13 [48]

Assuming ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

<h3>How to solve for volume</h3>

$volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1$

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

Read more on volume here: brainly.com/question/12410983

7 0

2 years ago