Rational Numbers
Is 58/0 a rational number?
No, 58/0 is not a rational number.
Three dice are rolled together. What is the probability as getting at least one '4'?
Total number of ways = 6 × 6 × 6 = 216.
2g−4=6
g = 5
The radius of a circle is 8 units.
What is the diameter of the circle?
Diameter: 16
The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?
8 girls
What is the additive inverse of 4/5?
The additive inverse of 4/5 is -4/5.
Two dice are thrown together. What is the probability that the number obtained on one of the dice is multiple of number obtained on the other dice?
Total number of cases = 62 = 36
2x+15=−3x
-3 = x
A copper sphere of diameter 36cm is drawn into a wire of diameter 8mm. Find the length of the wire.
h =48600cm
Mr. Johnson was paid $190 for a job that required 40 hours of work. At this rate, how much should he be paid for a job requiring 60 hours of work?
$285
Multiply 6/7 by the reciprocal of 36/21.
1/2
What is the probability of getting a sum of 7 when two dice are thrown?
Total number of ways = 6 × 6 = 36 ways. Favorable cases = (1, 6) (6, 1) (2, 5) (5, 2) (3, 4) (4, 3) --- 6 ways. P (A) = 6/36 = 1/6
k/4−7=−5
k = 8
A cube of 600cm2 surface area is melted to make x small cubes each of 96mm2 surface area. X is what?
Surface area of larger cube = 600cm2
A meteorologist reports that the ratio of snowfall in January to total snowfall during the average winter is 2 to 5. If 34 inches have fallen in January of the current year, find the predicted total snowfall for the entire winter.
85 inches
Subtract the rational number ⅔ from ⅞.
5/24
Find the probability of getting two heads when five coins are tossed.
Number of ways of getting two heads = 5C2 = 10.
Total Number of ways = 25 = 32
P (two heads) = 10/32 = 5/16
0=−1−y
-1=y
The ratio of sides of two squares is 4:5. What is the ratio of their areas?
Ratio of areas of the squares = (Ratio of sides)2
(4:5)2 = 16 : 25
In a public opinion poll, 624 people from a sample of 1,100 indicated they would vote for a specific candidate. How many votes can the candidate expect to receive from a population of 40,000?
22691
Find the reciprocal of the following rational numbers.
(a) 6/10
(b) 126/17
(c) 89/188
(a) The reciprocal of 6/10 is 10/6.
(b) The reciprocal of 126/17 is 17/126.
(c) 188/89 is the reciprocal of 89/188.
There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.
P (G) × P (R) = (5/12) x (7/11) = 35/132
4.25−0.25x=3.75
x = 2
A man cycling at the speed of 8km/hr crosses a square field diagonally in 6 minutes. The area of the field is
Speed of the man is given as 8km/hr = 20/9 m/sec.
A person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon. Find the weight of a person on Earth who would weigh 15 pounds of the moon.
93.75 Ibs