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4 years ago

4 students share 3/4 of a pizza. how much of the pizza does each student get

2 answers:

7 0

Each Student would get 3/16 of the pizza. This is because when you have a fraction, it's the same as saying dividing. So 3/4 is equal to 3÷4. Once you have 3÷4= 0.75. then you can divide that by 4, getting 0.1875. Although this is still an exact calculation, most people would automatically understand better in the fraction form of 3/16, so it is better to switch it back. This can be done either on your own or with a calculator, most scientific calculators have the ability anyways so it shouldn't be a big deal. In the end, if the pizza has 16 slices, each student gets 3, if it has 8, then each student gets 1 1/2.

jeyben [28]4 years ago

3 0

3/4 divided into 4 parts or times 1/4
3/4 times 1/4=(3*1)/(4*4)=3/16
each student gets 3/16 pizza

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antiseptic1488 [7]

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7 0

3 years ago

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600? If the co

Sphinxa [80]

Answer:

Using continuous interest 6.83 years before she has $1600.

Using continuous compounding, 6.71 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

Continuous compounding:

The amount of money earned after t years in continuous interest is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial investment and r is the interest rate, as a decimal.

If Tanisha has $1000 to invest at 7% per annum compounded semiannually, how long will it be before she has $1600?

We have to find t for which $A(t) = 1600$ when $P = 1000, r = 0.07, n = 2$

$A(t) = P(1 + \frac{r}{n})^{nt}$

$1600 = 1000(1 + \frac{0.07}{2})^{2t}$

$(1.035)^{2t} = \frac{1600}{1000}$

$(1.035)^{2t} = 1.6$

$\log{1.035)^{2t}} = \log{1.6}$

$2t\log{1.035} = \log{1.6}$

$t = \frac{\log{1.6}}{2\log{1.035}}$

$t = 6.83$

Using continuous interest 6.83 years before she has $1600

If the compounding is continuous, how long will it be?

We have that $P(0) = 1000, r = 0.07$

Then

$P(t) = P(0)e^{rt}$

$1600 = 1000e^{0.07t}$

$e^{0.07t} = 1.6$

$\ln{e^{0.07t}} = \ln{1.6}$

$0.07t = \ln{1.6}$

$t = \frac{\ln{1.6}}{0.07}$

$t = 6.71$

Using continuous compounding, 6.71 years.

7 0

4 years ago

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved . The bracelet costs $30. How much money

pochemuha

Lily has saved $ 7

Solution:

Given that bracelet costs $30

The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved

Cost of bracelet = $ 30

From given statement,

Cost of bracelet = 5 times the amount she has saved - 5

Let "x" be the amount saved by lily

Cost of bracelet = 5 times x - 5

Here "times" represents multiplication

30 = 5(x) - 5

30 = 5x - 5

30 + 5 = 5x

5x = 35

On dividing 35 by 5 we get 7

x = 7

Thus Lily saved $ 7

3 0

3 years ago

This is hard for me helppp

yan [13]

Solve for
m by simplifying both sides of the inequality, then isolating the variable.
Inequality Form:
m≥−17
Interval Notation:
[−17,∞)

5 0

3 years ago

When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition

allochka39001 [22]

The complete question in the attached figure

Let
x-----------> certain number

we know that

32.6 +x=36.14------------> x=36.14-32.6-----------> x=3.54

the answer is

the number that must go in the box to complete the addition problem is 3

3 0

3 years ago

Read 2 more answers