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3 years ago

You need 150g of flour for 12 cakes, how much flour do you need for 30 cakes?

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

150g_______12cakes
xg_________30cakes
x=150*12/30=5*12=60 g

Bogdan [553]3 years ago

5 0

150 g flour for 12 cakes
x g flour for 30 cakes
x = (150 x 30) : 12 = 375 g of flour

another method:

150 flour for 12 cakes
??? for 30 cakes

30 : 12 = 2.5
150 x 2.5 = 375 g flour

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

2 years ago

The following triangle is equilateral triangle. Solve for the<br> unknown variable.<br> у<br> 17

Yuri [45]

Answer:

The following triangle is equilateral triangle. Solve for the

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3 years ago

Solve for x. help me please

Marina86 [1]

Answer:

the answer is 20

Step-by-step explanation:

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2 years ago

Read 2 more answers

A sphere has a radius of 1.5 inches.

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V = (4/3)×3.14×(1.5^3)
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2 years ago

Find n(A) for A={0,1,2,3,...,2000}

miskamm [114]

There are 2001 items in that set.

So n(A) = 2001

We can individually count them all out, which is very slow and tedious, or we can use the formula
n-m+1

where,
m = starting value
n = ending value

In this case,
m = 0
n = 2000
So,
n-m+1 = 2000-0+1 = 2001

This formula only works if we increase the number by 1 each time (eg: 6, 7, 8, etc)

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3 years ago