Answer:
11.) 10w^2 + 43w + 21.
12.) -15y^2 - 2y + 8
Check the explanation for details
Step-by-step explanation:
11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w
Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,
Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21
= 10w^2 + 43w + 21.
12.) Repeat the same process by multiplying row by column.
Multiply -3y by 5y and 4 you will get -15y^2 and -12y.
Also, multiply 2 by same 5y and 4. You will get 10y and 8
Therefore, the expansion of
( -3y + 2 )( 5y + 4 ) will be
-15y^2 - 12y + 10y + 8
-15y^2 - 2y + 8
Answer:
If they were the least profitable item then from basic logic I would say no they are not. I'm sorry I have come across a dead-end here. Hope this helps.
Step-by-step explanation:
Answer:
0.2 centimeters
Step-by-step explanation:
Strategy 1:
Make the equation: 5=a•s, where s is the scale factor and "a" is the number of centimeters which 5 meters
First, we need to find the scale factor. 50 meters would be s times greater than 2 centimeters. Find s by first converting meters into centimeters
50m=5000cm. 5000cm=2cm*s, so s = 2500
5m=a*2500, a=0.002 meters, and 0.002 meters is equal to 0.2 centimeters.
Strategy 2:
the ratio of the scale drawing to real life will always stay the same, so
2 cm / 50 meters = x / 5 meters, and cross multiply to get
x cm* 50 m = 2 cm * 5 m, so
x cm * 10 = 2 cm
x cm = 2/10 cm
x cm = 0.2 cm
Strategy 3:
Notice that 5 meters is 10 times smaller than 50 meters, so on the scale drawing, we are looking for a number 10 times smaller than 2 centimeters, so 2/10=0.2 cm
We can put it into one step by multiplying the cost by 1.07 which basically takes into account the old cost of the jacket and the tax
the expression is
original amount * decimal multiplier (1.07) = new amount
