Answer:
13/20
Step-by-step explanation:
Another way of asking this question is to ask for the difference of 1/4 and 9/10. The equation will start with 9/10 - 1/4.
9/10 - 1/4
Equations can only be added or subtracted when the denominators (bottom numbers) are the same. To do this, you must find a number that can be divided by both denominators. In this case, 20 can be divided by 4 and 10.
(9*2)/(10*2) = 18/20
(1*5)/(4*5) = 5/20
18/20 - 5/20 = 13/20
13/20 cannot be simplified as 13 is a prime number
13/20
There are three 'x's on the 3/4 spot, so you know that there are three 3/4 inch buttons.
To find how long they are lined up, you add them.
3/4 + 3/4 + 3/4 = 9/4
9/4 as a mixed number is 2 1/4.
Good luck!
Answer:
See answers below.
Step-by-step explanation:
<u>Large Rectangle:</u><u> </u> length x width = (x + 3)(x - 4) =
x² - 4x + 3x - 12
x² - x - 12
<u>Smaller Rectangle:</u> length x width = (x)(3) = 3x
<u>Shaded Region: </u>shaded area = lg. rectangle minus small rectangle
A = (x² - x - 12) - 3x
A = x² - 4x - 12
<u>Solve for x, if shaded reion's area is 48 square units: </u>
48 = x² - 4x - 12
x² - 4x - 12 -48 = 0
x² - 4x - 60 = 0
(x - 10)(x + 6) = 0
x - 10 = 0 or x + 6 = 0
x = 10 or x = -6
But x represents a length, so x cannot be -6.
x = 10
Answer:
A(t) = P(1+r)^t
Step-by-step explanation:
A(t): amount after
P: initial value
t: time
r: growth as a decimal
This example shows compounding the growth once per year
The following integer values of x satisfy the given inequality,
4, 5, 6, 7, 8
What is an inequality?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.
Solving the Inequality
The given inequality is,
5x + 4 > 19
5x > 19 - 4
5x > 15
x > 15/5
x > 3
So, the required values of x must be greater than 3 in the given interval, [2,8]
Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).
Learn more about inequality here:
brainly.com/question/20383699
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