Answer: <span>w = [ y + 1] / [a + 2]
Solution step by step:
</span>
1) given <span>formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
</span>
Step-by-step explanation:
-7y > 161
7y < 161
7÷7=1
161÷7=23
y=23
7y > -161
7÷7=1
-161÷7=-23
y=-23
Answer:
3 miles
Step-by-step explanation:
First, we find the rate at which she drives, that is her speed.
Speed is given as:
speed = distance / time
When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:
s = 15 / 30 = 0.5 miles per minute.
She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.
From the formula of speed, distance is given as:
distance = speed * time
Therefore, the distance of The Dreamy Donut Shop is:
distance = 0.5 * 6 = 3 miles
The Dreamy Donut Shop is 3 miles away.
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Jamie wrote
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x ≥ 10
Instead of reversing the inequality when using the division property of inequality
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x <or= 10
Answer:
a. £24,714.29
b. £16,833.33
Step-by-step explanation:
The calculation of mean income is given below:-
Mean income = Total addition of salaries ÷ Number of workers
= £9,500 + £25,000 + £13,250 + £72,000 + £12,750 + £29,500 + £11,000
= £173,000 ÷ 7
= £24,714.29
Now,
the Mean income excluding Deva's salary:
= Formula of Mean income
= Total addition of salaries excluding Deva salary ÷ Number of workers
= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6
= £101,000 ÷ 6
= £16,833.33
