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timofeeve [1]
3 years ago
15

Seven cakes cost £2.10 how much do ten cakes cost

Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0
\begin{array}{ccc}7\ cakes&-&\£2.10\\\\10\ cakes&-&x\end{array}\ \ \ |cross\ multiply\\\\7\cdot x=10\cdot\ \£2.10\\\\7x=\£21.00\ \ \ \ |divide\ both\ sides\ by\ 7\\\\\boxed{x=\£3.00}\leftarrow answer
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The mass of Earth is 5.9722×1024 kg. The mass of Venus is 4.8685×1024 kg. What is the difference between the mass of Earth and t
saveliy_v [14]

Step-by-step explanation:

5.9722x1024 - 4.8685x1024

1130.1888

4 0
3 years ago
A country's population in 1994 was 140 million. n 1998 it was 146 million. Estimate the population in 2011 using the exponential
tiny-mole [99]
The exponential growth formular is given by
P=P_o(r)^t
where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).
P_o is the initial population of the country (i.e. the population of the country in 1994).
r is the growth rate of the population and
t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.
Here: P = 146, P_o=140, and t = 4 years

Thus
146=140(r)^4 \\  \\ r^4= \frac{146}{140} =1.042857 \\  \\ r= \sqrt[4]{1.042857} =1.010546

To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be
140(1.010546)^{17}=140(1.195236)=167.33 million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million.
3 0
4 years ago
A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It is filled with 5 meters of ho
iren [92.7K]

Answer:

The work required to empty the tank is 1,580,887 J

Step-by-step explanation:

Work = mass of chocolate × acceleration due to gravity × height of chocolate

Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3

Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg

height of chocolate = 5 m

Work = 32,263×9.8×5 = 1,580,887 J

3 0
3 years ago
Read 2 more answers
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Kamila [148]

Answer:

Step-by-step explanation:

(z)° + (3z + 1)° = 360° - ( 54° + 204° )

z + 3z + 1 = 360 - 258

4z = 101

z = 25.25

6 0
3 years ago
Which classifications apply to the polygon? Check all that apply.
xeze [42]
It’s concave and hexagon
6 0
3 years ago
Read 2 more answers
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