Answer:
Brandon is correct
Step-by-step explanation:
Brandon is running errands for his mother.
It is 1/4 mile from his house to the library and 2/3 mile from the library to the grocery store .
Brandon claims that he walked a total of 11/12 mile if he goes from his house to the library to the grocery store.
Distance from his house to the library = 1/4 mile
Distance from the library to the grocery store = 2/3 mile
Total distance Brandon walks from his house to the library to the grocery store = Distance from his house to the library + Distance from the library to the grocery store
= 1/4 + 2/3
Make both 1/4 and 2/3 have the same denominator to be able to add
The lowest common multiple (LCM) of 4 and 3 is 12
Therefore,
1/4 + 2/3
= (3+8)/12
= 11/12
Total distance Brandon walks from his house to the library to the grocery store = 11/12 mile
Probability of taking both is the probability of each, multiplied.
.43 x B.E. prob = .062
divide each side by .43
B.E. prob = .144
Answer:
D. 24
Step-by-step explanation:
A prime number is a number that only has 2 factors, which is 1 and itself. In other words, a prime number is only divisible by 1 and itself.
19 is a prime number, because it is only divisible by 1 and itself.
11 is also a prime number because it is only divisible by 1 and itself.
5 is also a prime number because it is only divisible by 1 and itself.
24 is not a prime number because it is divisible by 1 and itself, but it is also divisible by 2, 3, 4, 6, 8, and 12.
The answer is D.
This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
the answer is three look where it says 4-1 is 3
