Answer:
5. 5/8 flour needed to make 5 dozen cookies
Step-by-step explanation:
2 dozen= 24
5 dozen=60
It takes 1 1/8 flour for 1 dozen cookies so 1 1/8 x 5= 5.625 in fraction form that= 5 5/8
Is there a restriction that the set must be positive? or whole numbers? Because negative numbers can be even, which makes your set an infinite list of numbers.
Natural numbers: P = {2, 4, 6, 8, 10}
Whole numbers: P = {0, 2, 4, 6, 8, 10}
All real numbers: P = {2n ;n ≤ 5}
Answer:
A two-digit number can be written as:
a*10 + b*1
Where a and b are single-digit numbers, and a ≠ 0.
We know that:
"The sum of a two-digit number and the number obtained by interchanging the digits is 132."
then:
a*10 + b*1 + (b*10 + a*1) = 132
And we also know that the digits differ by 2.
then:
a = b + 2
or
a = b - 2
So let's solve this:
We start with the equation:
a*10 + b*1 + (b*10 + a*1) = 132
(a*10 + a) + (b*10 + b) = 132
a*11 + b*11 = 132
(a + b)*11 = 132
(a + b) = 132/11 = 12
Then:
a + b = 12
And remember that:
a = b + 2
or
a = b - 2
Then if we select the first one, we get:
a + b = 12
(b + 2) + b = 12
2*b + 2 = 12
2*b = 12 -2 = 10
b = 10/2 = 5
b = 5
then a = b + 2= 5 + 2 = 7
The number is 75.
And if we selected:
a = b - 2, we would get the number 57.
Both are valid solutions because we are changing the order of the digits, so is the same:
75 + 57
than
57 + 75.
Step-by-step explanation:
To find her walking pace in 'miles per hour', we need to divide the distance (in miles) by the time (in hours)
speed
=
distance
time
The time is given in minutes, but
50
minutes =
50
60
hours
=
5
6
hours
1
2
3
÷
5
6
=
5
3
×
6
5
miles per hour
=
5
3
×
6
2
5
=
2
miles per hour
Answer:
64
Step-by-step explanation:
The interior angle of a circle has the theorem divide in 2 the sum of the arcs on the circle.
The circle has arcs 42 and 86.
The interior angle is 42 + 86 = 128.
128/2 = 64
