Answer:
b = 5
Step-by-step explanation:
4 ( 3b + 2 ) - 5b = 43 Given
( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property
12b + 8 - 5b = 43
12b - 5b + 8 = 43 Combine like terms
7b + 8 = 43
7b + 8 - 8 = 43 - 8 Subtraction Property of Equality
7b = 35
7b / 7 = 35 / 7 Division Property of Equality
b = 5
9514 1404 393
Answer:
(a) 34 ft²
Step-by-step explanation:
The "top" and "back" together have a height of 2 ft + 1 1/2 ft = 3 1/2 ft. The bottom and front will have the same height, so the central vertical rectangle in the net will have a height of 2×(3 1/2 ft) = 7 ft. It is shown as having a width of 4 ft, so its area is ...
A = WH = (4 ft)(7 ft) = 28 ft²
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The two areas labeled "left" and "right" are shown as having a height of 1 1/2 ft. Their width is the same as the width of the bottom (or top), so is 2 ft. The total area of the left and right sides is then ...
left + right = 2WH = 2(2 ft)(1 1/2 ft) = 6 ft²
That makes the area of the entire net be ...
total surface area = 28 ft² +6 ft² = 34 ft²
The surface area of the box is 34 square feet.
The mean of this data is: 11
The median of this data is: 11
The mean and median of this data is the same in this case.
Hope this helps
Have a great day :)
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
Answer:
Answer:
Option B is correct.
Step-by-step explanation:
We will compare the interest earned by both.
Tasha: p = $5000
r = 6% or 0.06
n = 1
So, Amount after a year will be = = $5300
And amount the next year with p = 5300: 5300*1.06= $5618
Additional $5000 at 8%
Here the amount will be = =5400
Next year amount with p = 5400 : 5400*1.08 = $ 5832
Amount in total Tasha will have in 2 years = 5618+5832 = 11450
Thomas:
p = 10000
r = 7% or 0.07
n = 1
After a year the amount will be = =$10700
Amount Next year with p = 10700 : 10700*1.07 = $11449
*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.
So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.
