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Andrews [41]
2 years ago
15

Last summer, an ice cream shop sold a small ice cream for $1.25 and a large ice cream for $3.75. The ice cream shop decided to r

aise its prices this summer while keeping them proportional to last year's prices. Which of the following answer choices are possible prices for the ice cream this summer?
A.small ice cream: $2.50 , large ice cream: $5.00
B. small ice cream: $1.50, large ice cream: $4.50
C.small ice cream: $2.00, large ice cream: $4.25
D. small ice cream: $1.80, large ice cream: $7.20
Mathematics
2 answers:
vovangra [49]2 years ago
8 0

Answer:C

Step-by-step explanation:

keeping proportional and thats the only answer where the difference is still $2.25

iragen [17]2 years ago
8 0

Answer:

<em>Correct choice: B</em>

Step-by-step explanation:

<u>Proportions</u>

The ice cream shop sold small ice creams for $1.25 each and large ice creams for $3.75 each.

This summer the prices will be raised at the same proportion. If x is the new price for small ice creams and y is the new price for large ice creams, then it should be satisfied:

\frac{1.25}{x}=\frac{3.75}{y}

Let's test each option:

A.

\frac{1.25}{2.50}=0.5

\frac{3.75}{5.00}=0.75

B.

\frac{1.25}{1.50}=0.83

\frac{3.75}{4.50}=0.83

C.

\frac{1.25}{2.00}=0.625

\frac{3.75}{4.25}=0.88

D.

\frac{1.25}{1.80}=0.694

\frac{3.75}{7.20}=0.52

Correct choice: B

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To estimate the number of lizards in a certain region, Sean traps 36 lizards and marks them. He releases these lizards and then
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Answer:

The answer is C. 450

Step-by-step explanation:

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The best estimate for the lizard population is 450.

marked lizards counted

total lizards counted

=  

total marked lizards

estimated lizard population

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p

→ p = 450

3 0
3 years ago
Is y=5x-25 proportional
Vinvika [58]
It is proportional because we increase y.
3 0
3 years ago
For f(x) = x3 – x2, which gives an output of 48?<br> O f(-8)<br> O fl-4)<br> O f(4)<br> O f(8)
Misha Larkins [42]

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48

f(4) = 4³ - 4² = 64 - 16 = 48

Thus f(4) gives an output of 48

4 0
2 years ago
Read 2 more answers
The area of the surface of a circular pond is needed. A measure about the pond gives a circumference of about 47 feet. Find the
Whitepunk [10]

Answer:

55.95 ft²

Step-by-step explanation:

Circumference formula:  C = 2πr  =>  r = C / (2π)

Area formula:  A = πr²

Substituting C / (2π) for r in the above equation, we get:

               C                        47 ft

A = π( ----------- )²  =  π ( -------------- )²

              2π                       (2π)

or ...

          π(47 ft)²                   2209 ft²

A = ----------------------  =  --------------------  =  55.95 ft²

               4π²                   4(3.14159)²

3 0
2 years ago
What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an
mars1129 [50]

$7881.18

Step-by-step explanation:

   Let the initial Investment be P_{0}. The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

   As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: P(t)=P_{0}(1+\frac{i}{100})^{t}

Here i is the interest rate, i.e 1, and t is the number of time periods, i.e 17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}= 204\textrm{ months}

60,000=P_{0}\textrm{ x }(\frac{101}{100})^{204}

P_{0}=7881.18

∴ Initial Investment = $7881.18

4 0
2 years ago
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