Solving real-world problems that involve inequalities is very much like solving problems that involve equations.
Example 1
In order to get a bonus this month, Leon must sell at least 120 newspaper subscriptions. He sold 85 subscriptions in the first three weeks of the month. How many subscriptions must Leon sell in the last week of the month?
Solution
Let x = the number of subscriptions Leon sells in the last week of the month. The total number of subscriptions for the month must be greater than 120, so we write :
85 + x ≥ 120.
We solve the inequality by subtracting 85 from both sides: x ≥ 35.
Leon must sell 35 or more subscriptions in the last week to get his bonus.
Check
To check the answer, we see that 85 + 35 = 120. If he sells 35 or more subscriptions, the total number of subscriptions he sells that month will be 120 or more. The answer checks out.
Example 2
Virenas Scout troop is trying to raise at least $650 this spring. How many boxes of cookies must they sell at $4.50 per box in order to reach their goal?
Solution
Let x = number of boxes sold. Then the inequality describing this problem is 4.50 ≥ 650.
We solve the inequality by dividing both sides by 4.50: x ≥ 144.44.
We round up the answer to 145 since only whole boxes can be sold.
Virenas troop must sell at least 145 boxes.
Check
If we multiply 145 by $4.50 we obtain $652.50, so if Virenas troop sells more than 145 boxes they will raise more than $650. But if they sell 144 boxes, they will only raise $648,
which is not enough. So they must indeed sell at least 145 boxes. The answer checks out.
First, find the arc measure BD. The arc measure is twice the central angle measure. BD should be 48*2 = 96.
The chord BC looks like it’s the diameter of the circle, so it must have a measure of 180.
From here you can find DC. The total measure of a circle is 360.
360- 96-180 = 84, so DC is 84.
DBC is 360- DC
so 360- 84 = 276.
DCB is just 360- BD
so 360- 96 = 264.
Hope this helps!
The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.
Answer:
Brainliest
Step-by-step explanation:
1 peanut before giving half
1 +1 = 2
2 before giving 2/3
2 x 3/2 = 6/2 = <em><u>3</u></em>
Answer:
A. 16
Step-by-step explanation:
We can use a ratio to solve
4 bracelets x bracelets
----------------- = -------------
12 minutes 48 minutes
Using cross products
4 * 48 = 12x
192 = 12x
Divide by 12 on each side
192/12 =12x/12
16 =x
