Answer:
<h2>22 hours and 10 hours </h2>
Step-by-step explanation:
let the jobs be x and y, so that
x+y=32--------1
9x+7y=248----2
x=32-y
substitute x=32-y for x in equation 2 we have
9(32-y)+7y=248
open bracket we have
288-9y+7y=248
-2y=248-288
-2y=-40
2y=40
divide both sides by 2 we have
y=40/2
y= 10 hours
subtitute y=10 for y in equation 1 to find x
x+10=32--------1
x=32-10
x=22
x=22 hours
Answer:a
Step-by-step explanation:The temperature rose by 80 so up the number line and dropped 20 so down the number line to 60
Answer:




Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (b):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (c):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

Solving (d):

The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:

The sum of prime factors of 2014 is 74
<h3><u>Solution:</u></h3>
Given that to find sum of prime factors of 2014
Let us first find the prime factors of 2014
A prime number is a whole number greater than 1 whose only factors are 1 and itself
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
<em><u>Prime factors of 2014:</u></em>
The Prime Factorization is:

Thus the prime factors of 2014 are 2, 19, 53
<em><u>Let us now find the sum of prime factors of 2014</u></em>
sum of prime factors of 2014 = 2 + 19 + 53 = 74
Thus the sum of prime factors of 2014 is 74
Answer: d) b = 12
2/3.b - 1/3.b + 12 = 16
⇔ 1/3. b = 16 - 12
⇔ 1/3.b = 4
⇔ b = 4.3 = 12
Step-by-step explanation: