Answer:
2. A) 37 B)160 C) 110
The tens digit is 10,20,30,40,50,60,70,80,90. Two away to the left of a decimal point.
3. A)730 B) 675 C)1930
The hundreds digit is three from the left of a decimal point.
4. A) 0.40 B)74.60 C)15.20
The tenth is one away to the right of the decimal.
5. A)1.210 B) 3.430 C)0.350
The hundreth is two away to the right of the decimal point.
Explanation:
If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.
Answer:
times it
Step-by-step explanation:
I have to rewrite the expressions because they look very confusing.
1) The given fractions to add are:
4p² + 6 2p - 2
------------ + ------------
4p² 10p²
2) The statements to asses are:
<span>A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2
E) The sum is a rational expression.
This is the result for each statement.
</span>
<span>A) The least common denominator is 20p
FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.
See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²
TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by 20p² / 4p² = 5:
(4p² + 6)×5 = 20p² + 30
(4p²)×5 = 20p²
=>
20p² + 30
--------------
20p²
C) The second fraction rewritten with the LCD is (4p - 4) / 20p
FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p
(2p - 2) × 2p = 4p² - 4p
10p × 2p = 20p²
So, the second fraction rewritten with the LCD is:
4p² - 4p
-----------
20p²
D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²
TRUE
</span>
<span><span> 20p² + 30 4p² - 4p 24p² - 4p + 30
-------------- + --------------- = ----------------------
20p² 20p² 20p²</span>
And when you simplify the last fraction dividing by 2 you get:
12p² - 2p + 15
-----------------------
10p²
E) The sum is a rational expression.
TRUE:
The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.
</span>
Answer:
x ≥ y + 2
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
Step-by-step explanation:
x = width of the car
x+3 = length of the car
y = radius of the car
The width must be at least 2 inches greater than the radius, so:
x ≥ y + 2
The total cost must be no more than $50, so:
0.50 (x) (x+3) + 2.25 (4) (y) ≤ 50
The value in the 10 digits place is 6, because the tenths place is like a centimeter, and the digit in the hundreds place, is 6 again, because it is 10 times greater than the tenths place.
