Answer:
Step-by-step explanation:
- the given expression is : −4≤11−3x
- we use following operations to solve the inequality:
- by adding 4 on both sides, the inequality will become :
-4+4 ≤ 11-3x +4
0 ≤ 15 -3x
- adding 3x on both sides, the inequality will become:
3x ≤ 15
- dividing both the sides of the inequality by 3, the inequality will become:
3x/3 ≤ 15/3
x ≤ 5 ( since, 15/3 = 5)
- therefore the solution for x as an inequality will be x ≤ 5
The answer is
carrots - 0.8 pounds
crackers - 1.5 pounds
x - the weight of carrots
y - the weight of crackers
<span>The total weight was 2.3 pounds: x + y = 2.3
</span>
Carrots sell for $2.10 per pound: 2.10x
<span>Crackers sell for $2.90 per pound: 2.90y
</span><span>The total cost was $6.03: 2.10x + 2.90y = 6.03
</span>x + y = 2.3
2.10x + 2.90y = 6.03
_________
x = 2.3 - y
2.10x + 2.90y = 6.03
_________
2.10(2.3 - y) + 2.90y = 6.03
4.83 - 2.10y + 2.90y = 6.03
4.83 + 0.80y = 6.03
0.80y = 6.03 - 4.83
0.80y = 1.20
y = 1.20y : 0.80
y = 1.5 pounds
x = 2.3 - y = 2.3 - 1.5
x = 0.8 pounds
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
Answer:
Step-by-step explanation:
3 gallons of milk in 1 week means they use 3 gallons of milk in 7 days.
To find out how much milk they use in 1 day, simply divide 3 gallons by 7.
1 day = 3/7 gallons
Then to find how much they use in 4 days, multiply the amount in 1 day by 4.
4 days = 3/7 x 4 = ? Gallons
