What is the relationship between fractions and decimals?

Answers

Answer 1

Answer: The relationship between fractions and decimals is that with a fraction you are dividing whereas a decimal is treated like a number.
i.e. 1/4=0.25
Think of decimals as 100 being the whole or 1 so split 100 into 4 and you get 25 or 0.25

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4. Mitch took out a school loan for $24,000. The interest rate on the loan was 8%.Mitch paid off the loan in just 5 years. How much did he pay altogether?
24000 0.08.5
p24000
R=0.08
T5 years
1920.5
u
9600+
I-

Answers

Mitch paid $ 33600 altogether

Solution:

Given that mitch took out a school laon for $ 24000

The interest rate on the loan was 8%

Number of years = 5

To find: total amount paid altogether

We can use simple interest to calculate the total amount

Total amount paid altogether = simple interest + principal amount

The simple interest is calculated as:

$\text { simple interest }=\frac{\text { principal } * \text {rate of interest } * \text {number of years}}{100}$

Plugging in values, we get

$\text { simple interest }=(24000 * 8 * 5)/(100)=240 * 8 * 5=9600$

Total amount paid altogether = simple interest + principal amount

Total amount paid altogether = 9600 + 24000 = 33600

Thus Mitch paid $ 33600 altogether

twice a number plus another number is 310. The difference between the two numbers is 55. What are the two numbers

Answers

t us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3

lets say the first number is x and the second y

twice the first number is 2x plus another number (y) =310
the difference of the numbers (x-y) = 55
we have simultaneous equations here:
2x+y=310
x-y=55

to cancel the y's the signs are different so you add the equations to give
3x=365
divide it by 3 to get:
x=121 and 2/3

using the easier equation x-y=55 we know x=121 2/3
now we substitute to get 121 2/3 -y=55
take 121 2/3 from both sides to get:
-y= -66 2/3
therefore y= 66 2/3

that means x=121.6(recurring) and y= 66.6(recurring)

Y - 5 = -2x - 4

Write in simpilest form.

Answers

y - 5 = -2x - 4

Add 5 on both sides.
y = -2x + 1

y = -2x + 1 is in simplest form.

WILL NAME BRAINLIEST!The probability of drawing two red balls from a jar at random without replacement is 3/10. The probabilty of drawing a red ball first is 9/16.

What is the probability of drawing a second Redball, given that the first ball drawn was red?

A. 69/80

B. 8/15

C. 21/80

D. 27/160