Step-by-step explanation:
This problem is all about bases and exponents. Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:
That's the simplification as long as you are "allowed" to leave the exponent as a negative number.
There are no fractions between -8/10 and -4/5.
A fraction represents a part of a whole.
We need to find five fractions between -8/10 and -4/5.
When we simplify -8/10 we get -4/5
The fractions -8/10 and -4/5 both are same fractions
So there are no fractions between -8/10 and -4/5
Minus eight by ten is equal to the minus four by five.
So, the fraction itself does not have any fractions in between.
Hence there are no fractions between -8/10 and -4/5.
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Answer: 19, 20, and 21
Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 60 and it asks us to find the integers.
Three consecutive integers can be represented as followed.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
Since the sum of our 3 consecutive integers is 60, we can set up an equation.
X + X + 1 + X + 2 = 60
3x + 3 = 60
-3 -3
3x = 57
÷ 3 ÷ 3
X = 19
X + 1 = 20
X + 2 = 21
Therefore, our three consecutive integers are 19, 20, and 21.
60 = x + x + 1 + x + 2
60 = 3x + 3
-3
57 = 3x
/3
19 = x
The 3 integers are: 19, 20, and 21.
Answer:
Step-by-step explanation:
The equation y = -3x - 1 represents a straight line with a slope of -3 and y-intercept of -1. The graph will be a line falling to the right and crossing the y-axis at -1.
The question asks which graph represents the equation y = -3x - 1. This is a linear equation, where the coefficient of 'x', -3 here, gives us the slope of the line, and the constant, -1 here, gives us the y-intercept. A slope of -3 means for each step of 1 increase in x, the value of y decreases by 3. The y-intercept is the point where the line intersects with the y-axis, in this case at y = -1.
A graph representing this equation will be a straight line with a slope of -3 (indicating the line falls as we move along the positive x-axis) and will cut the y-axis at y = -1.
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Answer:
74 degrees
Step-by-step explanation:
180 degrees-32 degrees
=148 degrees/2
1=74 degrees