x + 4x = 40
5x = 40
x = 8
Mrs. Viola has 8 and Mrs. Rullo has 4*8=32 pens.
Answer:
416 mi
Step-by-step explanation:
In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.
<em>Remember to find the area it is length x width</em>
- 9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottom
- Lastly for the last 2 squares to find the area you multiply 8 x 8 = 64
- In total, you will add 72+72+72+72+64+64 which equals 416
Answer:
Plug in the numbers in the table to find the pattern.
Step-by-step explanation:
G=37
Angle ACD and angle DCB are a linear pair. Meaning they are supplementary.
ACD=90 degrees
180-90=90
90 degrees equals the angle of DCB.
90-53=37
So g=37
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
<em><u>Products</u></em>
<em><u>Base-Period Current Period</u></em>
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
<u> =</u><u>106500 60,000 </u><u> </u>
<u>∑ 416300 248350 </u>
<u />
Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100 = 1.676=1.68= 168.63= 169
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