Answer:
a2 =14
a4 = 22
a11 = 50
Step-by-step explanation:
an = 10 + (n-1) *4
n is the term number
Let n =2
a2 = 10 +(2-1)*4 =10 +(1)*4 = 14
Let n =4
a4= 10 + (4-1)*4 = 10 *3*4 = 10+12 = 22
Let n = 11
a11 = 10 +(11-1)*4 = 10 *10*4 = 10+40 = 50
Answer:
1- $ 0.25.
2- $ 26.25.
3- $ 1.73.
Step-by-step explanation:
1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:
2.99 / 12 = X
0.249 = X
Thus, the cost of each orange is $ 0.25.
2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:
10.5 / 4 x 10 = X
2.625 x 10 = X
26.25 = X
Thus, the cost of 10 slices of pizza is $ 26.25.
3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:
0.99 / 4 x 7 = X
0.2475 x 7 = X
1.7325 = X
Thus, the cost of 7 pieces of candy is $ 1.73.
Answer:
The area of the shaded region is about 58.9 square inches.
Step-by-step explanation:
To solve this question, let's recall some facts.
We know that the area of a circle can be defined as the following:
where r is the radius of the circle.
We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.
We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.
Now, we can solve the problem.
Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:
After approximation, I can conclude that the area of the shaded region is 58.9 square inches.
Answer:
A. 1/2
Step-by-step explanation:
3/16 / 3/8
3/3 = 1
16/8 = 2
1/2