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Anit [1.1K]
2 years ago
7

The Better Nutter Butter Co packed 400 lb. of peanut butter into jars holding 2.5 lbs. each. How many jars were used?

Mathematics
1 answer:
Rus_ich [418]2 years ago
8 0

Answer:

160 jars

Step-by-step explanation:

To find how many jars were used, we just need to divide the amount of stuff by the amount of stuff a jar can hold.

400 (the amount of peanut number in pounds) / 2.5 (the amount of peanut butter each jar can hold) = 160.

So, 160 jars were used to package the 400 pounds of peanut butter.

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Write the exponential function y = 22(1.35)' in the form y = aekt.
vesna_86 [32]

Answer:

  • y = 22·e^(0.3001t), growing
  • annual rate: 35%
  • continuous rate: 30.01%

Step-by-step explanation:

When an exponential function is in the form ...

  y = ab^t

the factor 'b' is called the growth factor. When t is in years, it is related to the annual growth rate (r) by ...

  b = 1 +r

In the alternate form, this can be written ...

  y = a·e^(kt)

Comparing the forms, we see that ...

  b = e^k   ⇒   k = ln(b)

__

<h3>(a)</h3>

  y = 22·1.35^t

  k = ln(1.35) ≈ 0.3001

  y = 22·e^(0.3001t)

The growth factor is greater than 1, so the function is growing.

__

<h3>(b)</h3>

The annual growth rate is ...

  r = 1.35 -1 = 0.35 = 35.00%

__

<h3>(c)</h3>

The continuous growth rate is ...

  k = 0.3001 = 30.01%

4 0
2 years ago
A store sells 4 varieties of donuts. Chocolate and Jelly are two of the varieties sold. How many ways are there to select 14 don
Margaret [11]

Answer:

1 way.

Step-by-step explanation:

1) 10 Chocolate Donuts and 4 Jelly Donuts

7 0
2 years ago
A gymnastics class is having blueberries for a snack. A serving size of blueberries is 1/4 of a bowl. If there are 3 bowls of bl
SVETLANKA909090 [29]

Answer:

12 gymnast

Step-by-step explanation:

There are 4 servings per bowl and 4x3 is 12

4 0
2 years ago
Read 2 more answers
-5 -(15y - 1) = 2(7y - 16) -y
Luda [366]
-5-(15y-1) = 2(7y-16) - y  // question
-5-15y+1 = 14y-32-y  // distribute
-15y - 4 = 13y - 32    // subtract
-28y = -28  // divide
y = 1
7 0
3 years ago
Use substitution to solve the system.<br><br> X= ?<br> Y= ?<br><br> 5x+4y = -10<br> x = 3y+17
nikklg [1K]

Answer:

x=3.4

y=-6.75

Step-by-step explanation:

5x+4y=-10  (equation 1 )

-5x+3y=-17  (equation 2)

7y=-27

y=-6.75

substitution (equation 1 ) y=-6.75

5x-27=-10

5x=17

x=3.4

4 0
3 years ago
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