To solve this, you first add the parts of the ratio (5+12), which totals 17 parts. Divide the total number of shirts (340) by the total parts (17) to get shirts per part (20). Finally, you multiply the number of parts for blue shirts (5) by the number of shirts per part (20), resulting in 100 blue shirts.
In order to determine how many shirts are blue, we must first understand the concept of ratios. In this case, the total ratio is given as 5:12, representing the ratio of blue shirts to green shirts respectively. This ratio means for every 5 blue shirts, there are 12 green shirts.
The total number of shirts given is 340. To find out the number of blue shirts, we first add the parts of the ratio together. 5 (for blue) + 12 (for green) equals a total of 17 parts. To find the value of a single part, we divide the total number of shirts by this number: 340 shirts ÷ 17 parts = 20 shirts per part.
Since we know there are 5 parts for the blue shirts, we simply multiply this by the number of shirts per part: 5 parts (blue) * 20 shirts per part = 100 blue shirts.
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2144.66 in3
7238.23 in3
9202.77 in3
The volume of the globe is 904.32in³
The volume of the globe will be calculated by using the volume of a sphere and this will be:
= 4/3πr³
where,
π = 3.142
r = Diameter/2 = 12/2 = 6
Therefore, since we've the values, then we can slot it back into the equation and this will be:
= 4/3πr³
= 4/3 × 3.142 × 6³
= 4/3 × 3.142 × 216
= 904.32in³
Therefore, based on the calculation above, the volume of the globe is 904.32in³.
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Choose EXACTLY TWO answers that are correct.
A.
between 6 and 12 years of experience
B.
between $40,000 and $60,000
C.
between 4 and 8 years of experience
D.
between $10,000 and $60,000
Answer:
option: A and Option: B are correct.
Step-by-step explanation:
We are given a scatter plot we are asked to find which of the given statements hold true such that it's ranges describe the cluster in the scatter plot.
Clearly from the scatter plot we could see that:
The most of the points are between 6-12 years of experience in the scatter plot.
also the earnings are between $40,000 and $60,000 that covers most of the data.
Hence, option A. ( A. between 6 and 12 years of experience) and Option B ( B.
between $40,000 and $60,000 ) are correct.
Answer:Total molding cost is $197.20.
Step-by-step explanation:
Since we have given that
Length of oil painting frame = 22 inch
Width of oil painting frame = 30 inch
Width for molding = 4 inches
So, Length after molding would be
4+22+4 = 30 inches
Width after molding would be
4+30+4 = 38 inches
So, Perimeter of molding would be
Cost per inch = $1.45
So, Total molding cost would be
Hence, Total molding cost is $197.20.
The Millers would need to purchase 104" of molding for their 22" by 30" painting frame. At $1.45 per inch, the cost for the molding would be $150.80 before tax.
The cost of the molding can be calculated by first determining the total length of the molding needed and then multiplying it by the price per inch. To find the total length of the molding, we need to add the lengths of all sides of the painting frame. Since the frame is a rectangle, it will have two sides that are 22" long and two sides that are 30" long. So the total length of the molding is: 2*(22" + 30") = 104". Now, we multiply this length by the cost of the molding per inch. So, the total cost of the molding is: 104" * $1.45 = $150.80. Thus, the cost of the molding for the 22" by 30" oil painting frame using 4" Wide molding will be $150.80 before tax.
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y=-2x+8
y=1/2x
y=-3/4x-1
y=x+5
please show work step by step for each.
1. The equations in this example are already set equal to "y". Identify the slope and y-intercept in each equation. Remember: y = mx + b, where m = slope and b = y-intercept.
y = 2x + 1
slope = 2
y-intercept = 1
y = -x + 7
slope = -1
y-intercept = 7
2. Graph the lines.
This example used the slope-intercept method of graphing straight lines.
The b-value tells you where the line crosses the y-axis.
The slope, m, tells you the rise over the run.
If you need help graphing lines, see Graphing Linear Equations.
Find the intersection point (where the lines cross).
These lines cross at the point (2,5).
This means the solution to this system is:
Solution: x = 2 and y = 5.
graph1
3. CHECK: Substitute x = 2 and y = 5 into BOTH of the original equations. If your solutions are correct, both equations will be true!
y = 2x + 1
5 = 2(2) + 1
5 = 5 (check)
y = -x + 7
5 = -(2) + 7
5 = 5 (check)