Answer:
250 minutes of calling will cost same using both plans.
$53
Step-by-step explanation:
Please consider the complete question.
A phone company offers two monthly plans. Plan A costs $23 plus an additional $0.12 for each minute of calls. Plan B costs $18 plus an additional $0.14 of each minute of calls. For what amount of calling do the two plans cost the same? What is the cost when the two plans cost the same?
Let x represent the number of call minutes.
The total cost of calling for x minutes using plan A would be cost of x minutes plus fixed charge that is .
The total cost of calling for x minutes using plan B would be cost of x minutes plus fixed charge that is .
To find the number of minutes for which both plans will have same cost, we will equate total cost of x minutes for both plans and solve for x.
Therefore, calling for 250 minutes will cost same using both plans.
Upon substituting in expression , we will get:
Therefore, the cost will be $53, when the two plans cost the same.
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is times larger than the smaller leg. In this case, these dimensions are a base of for the smaller leg and for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
Answer:
0
Step-by-step explanation:
Answer:
1. 1.6x has a variable which means an unknown number
2. 5 more than 0.10 times a number
Step-by-step explanation:
A variable is an unknown number represented by a letter. It provides a way to write a relationship in the real world without knowing all the values involved, 1.6x means 1.6 times an unknown number mathematically. A real world example would be a percent growth of 60% on an unknown price - 1.6x.
5 + 0.10x means 5 more than 0.10 times an unknown number. A real world example here would be "10% off a sale plus $5 coupon". We don't know the price of the item but we do know it is 10% off and we get $5 off. Once we know the price we input it int for x and find the total discount.