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tekilochka [14]
3 years ago
10

Marjorie wrote the fraction 7/10 as a fraction with a denominator of 100. She wrote the fraction as a decimal. Find and correct

Her mis take. Explain.
Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
It would be 70/100 because you are multiplying the denominator by 10 which equals 100 so you must do the same to the other side which would be 70. There fore the decimal would be 0.70.
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Calculate the compound amount on rs 2000 for 3 years at the rate of 13% p.a
IrinaVladis [17]
A=P(1+r%)ⁿ , where P is the initial capital, r, the interest rate and n, the # years

A = 2000(1+0.13)³
A = 2000(1.13)³
A = 2,885.79
6 0
3 years ago
Write an equation for the nth term of the geometric sequences. Then Find a6
love history [14]

Answer: The nth term of a geometric progression is Tn = ar^(n-1)

A. 12

B. 3.6

C. -3/4

D. 0.6

Step-by-step explanation:

The nth term of a geometric progression is Tn = ar^(n-1)

Where Tn= nth term

a = first term

r = common ratio

n = number

A. a6 = (2*6) = 12

B. a6 = (0.6*6) = 3.6

C. a6 = (-1/8*6) = -3/4

D. a6 = (0.1*6) = 0.6

6 0
3 years ago
A 2 kg metal cylinder is supplied with 1600J of energy to heat it from 5°C to 13°C. What is the specific heat capacity of the me
Neporo4naja [7]

Answer:

c = 100\,\frac{J}{kg\cdot ^{\circ}C}

Step-by-step explanation:

According to the First Law of Thermodynamics, the heat received by the metal cylinder is equal to the change in the internal energy. That is:

Q = \Delta U

Q = m \cdot c \cdot \Delta T

The specific heat is clear in the previous expression and finally computed:

c = \frac{Q}{m\cdot \Delta T}

c = \frac{1600\,J}{(2\,kg)\cdot (13^{\circ}C-5^{\circ}C)}

c = 100\,\frac{J}{kg\cdot ^{\circ}C}

6 0
3 years ago
Justin’s recipe calls for 5 eggs. If each cupcake ends up with 1/4 of an egg, how many cakecakes will Justin’s recipe make?
ehidna [41]

Answer:

20 cupcakes

Step-by-step explanation:

You multiply 5 times 4 because their are 4/4 in each egg so for 5 eggs their would be 20 cupcakes because 5 times 4 equals 20.

8 0
3 years ago
An ideal gas is confined within a closed cylinder at a pressure of 2.026 × 105 Pa by a piston. The piston moves until the volume
Elis [28]

Answer:

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

Step-by-step explanation:

Given : An ideal gas is confined within a closed cylinder at a pressure of 2.026\times 10^5 Pa by a piston. The piston moves until the volume of the gas is reduced to one-ninth of the initial volume.

To find : What is the final pressure of the gas when its temperature returns to its initial value?

Solution :

Since the temperature is constant .

The relation between P and V is given by,

P_1\times V_1 = P_2\times V_2

\frac{P_1}{P_2}=\frac{V_2}{V_1} ....(1)

The piston moves until the volume of the gas is reduced to one-ninth of the initial volume i.e. V_2=\frac{V_1}{9}

or \frac{V_2}{V_1}=\frac{1}{9}

P_1=2.026\times 10^5

Substitute in equation (1),

\frac{2.026\times 10^5}{P_2}=\frac{1}{9}

P_2=9\times 2.026\times 10^5

P_2=18.234\times 10^5

P_2=1.8234\times 10^6

The final pressure of the gas when its temperature returns to its initial value 1.8234\times 10^6 Pa.

5 0
3 years ago
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