The simplest form of 3/8 is 3/8 because the greatest commondivisor of 3 and 8 is 1.
To simplify the fraction 3/8, we need to find the greatest common divisor (GCD) of the numerator (3) and the denominator (8) and then divide both the numerator and denominator by the GCD.
The divisors of 3 are {1, 3}, and the divisors of 8 are {1, 2, 4, 8}.
The GCD of 3 and 8 is 1, as it is the largest number that divides both 3 and 8 without any remainder.
Dividing both 3 and 8 by the GCD (which is 1) doesn't change their values:
(3 ÷ 1) / (8 ÷ 1)
= 3/8
Since the GCD is 1, the fraction 3/8 is already in its simplest form.
Hence, the simplest form of 3/8 is 3/8.
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Answer
Find out the number of refills keith bought and write equation for it .
To prove
Let us assume that the number of refills be x .
a restaurant sells a coffee refill mug for $6.75.
Each refill costs $1.25
Last month keith spent $31.75 on a mug and refills .
Than the equation becomes
6.75 + 1.25 × x = 31.75
6.75 + 1.25x = 31.75
1.25x = 31.75 - 6.75
1.25x = 25
x = 20
Therefore the number of refills keith bought be 20 .
7^4 * 7^-9
The expression is equivalent to
.
To rewrite the expression using a single positive exponent, we can use the properties of exponents.
Recall the property of exponents that says . This means that when you have the same base raised to different exponents and they are multiplied, you can add the exponents.
Now, simplify the exponent:
Recall another property of exponents that states . This means that when you have a negative exponent, you can rewrite it as the reciprocal of the base raised to the positive exponent.
So, the expression is equivalent to
.
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Answer:
Step-by-step explanation:
6 times 4 is 24 so the answer is 24
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept
We have a slope m = 1/4. Substitute: y = 1/4 x + b
We know, the line passes through point (8, 3) → x = 8, y = 3.
Put the values of x and y to the equation of the line:
1/4 · 8 + b = 3
2 + b = 3 |-2
b = 1
Answer: y-intercept is (0, 1)
The y-intercept of a line with a slope of 1/4 and which passes through point (8,3) is 1.
The equation of a line in slope in slope intercept form is expressed as:
y = mx + b
Where m is slope and b is the y-intercept.
Given the data in the question:
The line has a slope of 1/4 and passes through point (8,3).
x = 8, y = 3, m = 1/4
Plug the given values into the above formula and for the y-intercept 'b'.
y = mx + b
3 = (1/4 × 8 ) + b
Solve for b:
3 = 8/4 + b
3 = 2 + b
3 - 2 = 2 - 2 + b
1 = b
b = 1
Therefore, the y-intercept is 1.
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Answer:
28 could be multipled by .6
Step-by-step explanation:
3/5 is 60% of a number and 60% as a decimal is .6