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Arturiano [62]
3 years ago
11

Hailey paid $13 for 1 3/7 kg of sliced salami. What was the cost per kilogram of salami?

Mathematics
2 answers:
TEA [102]3 years ago
7 0
$9.10 per kilogram of salami
JulijaS [17]3 years ago
6 0
Let's convert 1 3/7 to an improper fraction, and 13 to an improper fraction. 
Then multiply=
10/7 x 13/1
But wait! we are dividing so we need to flip "10/7"
7/10x13/1=91/10
Now we reduce that fraction down to 9 1/10
Then we convert that to dollars and cents.
Then we find that they paid $9.10 per kilogram
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4 0
3 years ago
Find the percent change from the first value to the second 50;30
Alex787 [66]

Answer:

-40%

Step-by-step explanation:

NV = new value

OV = old value

percent change = (NV - OV)/(OV) × 100%

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5 0
2 years ago
Ace Cars says they will pay Jim a 10% commission on the sale price of each car. Budget Cars says they will pay him $500 per week
Arisa [49]

Answer:

  $20,000

Step-by-step explanation:

You can quickly figure this by recognizing that the difference in commission must be the same as the base salary:

  2.5%(car price) = $500

  car price = $500/0.025 = $20,000

__

If you prefer, you can get there with equations.

At Job 1, the pay is ...

  y = 10%×(car price)

At Job 2, the pay is ...

  y = 7.5%×(car price)

Setting the equal (the two opportunities pay the same), we have ...

  0.10(car price) = 500 +0.075(car price)

  0.025(car price) = 500 . . . . . . . . subtract 0.075(car price)

  car price = 500/0.025 = 20,000 . . . . divide by 0.025

Jim would have to sell a $20,000 car each week for the jobs to pay the same.

8 0
3 years ago
18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:
Ksenya-84 [330]

a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}

S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525

8 0
3 years ago
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