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mojhsa [17]
3 years ago
9

Ginger takes 10 nickels to buy pencils at the school store.How many cents does ginger have to spend

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

For this problem, you don't need to know how much the pencils cost. You're only finding how much the 10 nickels are worth.

Start by knowing how much one nickel is worth. A nickel is worth five cents in US currency. Since you know the worth of one nickel, you can find the worth of ten nickels by multiplying ten nickels by five cents (0.05).

Multiply 10 by 0.05.

10 * 0.05 = 0.5

0.5 is equal to 50 cents in US currency, so this means that Ginger has 50 cents to spend to buy pencils at the school store.

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
A landscape plan includes a rectangular flowers bed that is surrounded the wood in planks. In the drawing, the rectangular flowe
forsale [732]

Answer:

The perimeter of the drawing: 18 inches

The perimeter of the actual flower bed: 540 inches

If they were multiplied by 24 instead the actual perimeter of the flower bed would be 432 inches. The effect is that it decreases by 108 inches.

Step-by-step explanation:

Taking the 4 inches and 5 inches and multiplying them by 30 gets 120 by 150. If its a rectangle we will add together all 4 sides to get the perimeter of the actual one.

5 0
2 years ago
Jason and his friends want to go bowling on Friday night. Southgate Bowling Alley charges $30 shoes and $6 per hour to bowl, whi
alekssr [168]

Answer:

2 hours

Step-by-step explanation:

Slope represents the hourly rate.

Constant represents initial price.

y = 30 + 6x \\ y = 36 + 3x \\ 30 + 6x = 36 + 3x \\ 3x = 6 \\ x = 2

3 0
2 years ago
Convert rectangular equation to polar equation
miss Akunina [59]

y= 2*x / x+3 that is my answer

4 0
3 years ago
Jerry wants to buy 4 Michelin tires. Each tire costs $213.99. Calculate his total price if the tax rate is 7.25%.
arlik [135]

Answer:

$918.02

Step-by-step explanation:

As each tire costs $213.99, you will be multiplying that by 4:

$213.99*4 = $855.96

Now you will have to add the tax to the price. You will do the following:

$855.96*.0725 = 62.0571

You will round that to $62.06

$855.96+$62.06

The total would be $918.02

3 0
3 years ago
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