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2 years ago

Express in the form 1 : n 4 : 12

Mathematics

2 answers:

kati45 [8]2 years ago

5 0

Answer:

n = 3

Step-by-step explanation:

1:n = 4:12

1/n = 4/12

Cross multiply.

4n = 12

n = 12/4

n = 3

Vesna [10]2 years ago

3 0

Answer:

1:3

Step-by-step explanation:

4:12 divides by 4 to give

1 : 3

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The population of Henderson City was 3,381,000 in 1994, and is growing at an annual rate 1.8%

liq [111]

<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>

Step-by-step explanation:

Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.

From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by $\frac{100+1.8}{100}$ = $\frac{101.8}{100}$ .

So, the population in the year t can be given by $P(t)=3,381,000\textrm{x}(\frac{101.8}{100})^{(t-1994)}$

Population in the year 2000 = $3,381,000\textrm{x}(\frac{101.8}{100})^{6}$ = $3,762,979.38$

Population in year 2000 = 3,762,979

Let us assume population doubles by year $y$ .

$2\textrm{x}(3,381,000)=(3,381,000)\textrm{x}(\frac{101.8}{100})^{(y-1994)}$

$log_{10}2=(y-1994)log_{10}(\frac{101.8}{100})$

$y-1994=\frac{log_{10}2}{log_{10}1.018}=38.8537$

$y$ ≈ $2033$

∴ By 2033, the population doubles.

4 0

3 years ago

Please someone help! i will give brainliest

frozen [14]

Answer:

Step-by-step explanation:

proportions

5 0

2 years ago

Hema borrowed ₹ 4000 at the rate of 15 % per annum from Banu. Find the simple interest which Hema needs to pay to Banu after 5 y

Schach [20]

Step-by-step explanation:

P=Rs4000

Rate(R)=15%

Time(T)=5years

Here,

SI=PTR/100

= 4000×15×5÷100

= Rs3000

6 0

2 years ago

The vertical segment joining A (1,5) and B (1,1) has been graphed on the number plane. Find the length of the segment.

Alecsey [184]

Answer:

4 units

Step-by-step explanation:

because the points have the same x-coordinate, we just need to subtract the y-coordinates to find the distance.

5 - 1 = 4

therefore, the length of the segment is 4 units.

hope this helps! <3

7 0

2 years ago

How do i solve 1/2 × 3/7how do I solve one third of 3/7 <br><img src="https://tex.z-dn.net/?f=%201.5%20%5Ctimes%203.7" id="TexFo

Andrews [41]

1) $\frac{1}{2}\,X\,\frac{3}{7}$ = $\frac{3}{14}$

2) $\frac{1}{3}\,X\,\frac{3}{7}$ = $\frac{1}{7}$

3) $1.5 \times 3.7\\$ = $5.55$

Step-by-step explanation:

We need to solve following expressions.

1) $\frac{1}{2}\,X\,\frac{3}{7}$

We need to multiply numerator with numerator and denominator with denominator

Solving:

$\frac{1}{2}\,X\,\frac{3}{7}\\=\frac{3\,X\,1}{2\,X\,7}\\=\frac{3}{14}$

It cannot be further simplified so, $\frac{1}{2}\,X\,\frac{3}{7}$ = $\frac{3}{14}$

2) one third of 3/7

one third stands for 1/3

Now solving:

$\frac{1}{3}\,X\,\frac{3}{7}$

We need to multiply numerator with numerator and denominator with denominator

$\frac{1}{3}\,X\,\frac{3}{7}\\=\frac{3\,X\,1}{3\,X\,7}\\=\frac{3}{21}\\=\frac{1}{7}$

It cannot be further simplified so, $\frac{1}{3}\,X\,\frac{3}{7}$ = $\frac{1}{7}$

3) $1.5 \times 3.7\\$

In this question we have to multiply 1.5 with 3.7

$1.5 \times 3.7\\=5.55$

So, $1.5 \times 3.7\\$ = $5.55$

Learn More:

You can find more information about multiplication of fractions at:

brainly.com/question/2456302

brainly.com/question/2166248

Keywords: fractions, multiplication

#learnwithBrainly

5 0

3 years ago