Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
First answer is 4 chances and second answer is 2 chances
To calculate slope; rise/run
Triangle ABC: run-1 rise-5 slope-5
5 rise/ 1 run (5/1)=5
Triangle DEF: run-2 rise 10 slope-5
10 rise/ 2 run (10/2)=5
B. They are equal because the two triangles are similar
Answer:
£83.70
Step-by-step explanation:
→ First step is to find the amount of hours it takes for one builder
We know it takes 5 builders
hours so 1 builder would take 5 ×
which is
hours so it takes one builder 17.5 hours to builder a wall
→ Now we know how long one work takes we need to find out the time for 2 builders
1 builder = 17.5 hours
2 builders = 17.5 ÷ 2 = 8.75 hours
So 2 builders take 8.75 hours
→ We know that each builder is paid £9.30 for each or part hour they work so
9.30 hourly pay rate × 9 hours work of work = £83.70
Each worker will be paid £83.70
Answer:
1. rational number
2. a positive rational number
Step-by-step explanation:
A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.
The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.