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Lady_Fox [76]
4 years ago
11

David Howell was shopping for a leather jacket. He found one at the department store that was selling for $395. He learned that

an inflation rate of 4.5% has occurred since the jacket was originally priced. What was the original price of the jacket?
Mathematics
1 answer:
Firlakuza [10]4 years ago
3 0
David Howell was shopping for a leather jacket and found one on the dept. store that costs 395 dollars.
Now, he learned that an inflation rate of 4.5% has occurred since the jacket was originally priced.
=> 395 dollars * .045 = 17.775
=> 395 dollars - 17.775  = 377.23 is the original price of the jacket.
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Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 2
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6 0
3 years ago
Marcia claims that the GCF for (2x2 + 4xy + 8xy4) is 8x2y4.
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The GCF for 2x^2 + 4xy + 8xy^4
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8 0
4 years ago
Find the HCF and LCM of 306 and 54. Verify that HCF × LCM = Product of the two numbers.
Gala2k [10]
306=2*153=2*3*51=2*3*3*17
54=2*27=2*3*9=2*3*3*3,
so 306= 2*3*3*17, and 54 = 2*3*3*3
GCF we are looking for all factors that belong to both of these numbers, that are common for both numbers.
 306= 2*3*3*17, 
 54 = 2*3*3*3
GCF = 2*3*3

LCM should include all factors that belong as first as second numbers, and we take prime factor from the number that has maximum repetition of it
306 = 2*3*3*17
54=2*3*3*3
We can see 2 - one time, 3 - 3 times , and 17 - one time
LCM =2*3*3*3*17

Product of two numbers : 306*54=(2*3*3*17) * (2*3*3*3)= 2²*2⁵*17
HCF*LCM=(2*3*3)*(2*3*3*3*17)=2²*3⁵*17
So we can see that
 Product of two numbers = HCF*LCM=2²*3⁵*17

If you need you can calculate
 306= 2*3*3*17, 
 54 = 2*3*3*3
GCF = 2*3*3=18
LCM =2*3*3*3*17=918
GCF*LCM=18*918=16524
Product of 306*54= 16524

 






7 0
4 years ago
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