Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π 
Substitute in known value of r
Area = π 
Substitute in pi
Area = 3.14 *
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
1.5 ounces per pendant
3 pieces of silver:
pounds
14 ounces
pounds
Convert to improper fractions (1 lb = 16 ounces)
pounds
pounds
pounds
Find a common denominator for the fractions
pounds
pounds
pounds
Add
+ +
pounds
Find how many pendants can be made out of this amount
pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
Solving the equation:
2x+1+3=0
2x+4=0
2x+4-4=0-4
2x=-4
2x/2=-4/2
x=-2
Therefore, the student that concluded x=4 is incorrect.
Answer:
so x = 5 is not true statement
Step-by-step explanation:
well to prove x = 5 you need to get get alone or solve for x
3x = 10-5 --> 3x = 5
now you need to get x alone do this by dividing 3 by both sides
3x = 5 --> x = 5/3
x = 1.6
Given from the question
first fraction = 5/6
second fraction = 1/3
We're asked what's the difference between the fraction
First, we need to equalize the denominator to the same number. The first denominator is 6, the second denominator is 3. I'd like to make them both 6. So the second denominator needs to be multiplied by 2, so does the numerator
second fraction = 1/3
second fraction = (1 × 2)/(3 × 2)
second fraction = 2/6
Second, we have new fractions which have the same denominator. Calculate the difference
d = first fraction - second fraction
d = 5/6 - 2/6
d = 3/6
The red tape is 3/6 yard more than the green tape.
<span>No, 0.3 and 3.0 do not have the same value. The zero in front the decimal point, means that the next digit has a value less than one. The first decimal position is greater than the second decimal position, and it is greater than the fhird decimal positio, and so on; 0.3 is 3/10. The digit 3 in 3.0 has value of 3 units which is greater than 3/10.</span>
