Answer:
1)option b
2)option a
Step-by-step explanation:
1) circumference = 62.8 in
=> 2πr= 62.8
=> r= 62.8/(2×3.14)= 10 in
diameter = 2×10 in = 20 in
2)diameter = 14m
radius = 7 m
Area of the circle= πr² =3.14(7)²=3.14×49
= 153.86
=153.9 m²
Answer:
(a) How many are there to select 2 pairs of gloves?
10 ways
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
130 ways
Step-by-step explanation:
For the above questions we apply that combination formula
(a) How many are there to select 2 pairs of gloves?
There are 5 pairs of gloves according to the question above, hence:
5C2 = 5!/2! × (5 - 2)!
= 5!/2! × 3!
= 5 × 4 × 3 × 2 × 1/2 × 1 × 3 × 2 × 1
= 10 ways.
Therefore, there are 10 ways to select 2 pairs of gloves
(b) How many ways are there to select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.)
i) A way to select 4 gloves out of 10 gloves =
10C4 = 10!/4! ×(10 - 4)!
= 10!/ 4! × 6!
= 210 ways
ii) In order for 2 of the 4 gloves selected to be a pair, note that we have 5 pairs of gloves hence:
5 × 2⁴
= 80 ways.
Therefore, the number of ways which we can select 4 gloves out of the 10 such that 2 of the 4 make a pair. (a pair consists of any right glove and left glove.) = 210 ways - 80 ways
= 130 ways
Answer:
There were 58 students in each bus.
Step-by-step explanation:
Total number of students x=
237
Number of students who travelled by car =
5
∴ Number of students who travelled by bus =
237
−
5
=
232
Presuming the buses to have the same capacity, and knowing that there were four buses, the number of students in each bus can be expressed as:
x
=232
÷4
x
=
58
Answer:
<h3>y = 56x</h3>
Step-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x