MATHEMATICS HIGH SCHOOL

Isabella has 7 yards of ribbon to make bows. Each bow is made from a peace of ribbon that is 1/2 yard long. How many bows can Isabella make?

Answers

Answer 1

Answer:

Answer:

14 bows

Step-by-step explanation:

Isabella has 7 yards of ribbon to make bows. Each bow is made from a peace of ribbon that is 1/2 yard long. How many bows can Isabella make?

The above question is calculated as:

1/2 yard of ribbon = 1 bow

7 yards of ribbon = x bows

We cross multiply

1/2 yard of ribbon × x bows = 7 yards of ribbon × 1 box

x bows = 7 yards of ribbon × 1 box/1/2 yard of ribbon

x bows = (7 ÷ 1/2 ) bows

x bows = 7 × 2 bows

= 14 bows

Therefore, Isabella can make 14 bows

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In the year 1900, in the country Acirema, there were 100 Lawyers and 2 million people. Every 10 years, the number of Lawyers doubles, and the population increases by 2 million. Let t be the number of years after 1900. Thus t=3 corresponds to 1903. Find the equation involving t whose solution tells you in which year 20 percent of the population are Lawyers. DO NOT SOLVE OR BEGIN TO SOLVE THIS EQUATION..2=___________________?????

Answers

Well, there is a system:
$L=100*2^{(t)/(10)}$
$p=2000000+2000000*(t)/(10)$
$L=.2P$
I'd guess you need the last equation in a different form: $.2=(L)/(P)$

The equation is $\boxed{0.2 = \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000 + 2000000 * \frac{t}{{10}}}}}.$

Further explanation:

Explanation:

In the year 1900 the population of the country is 2 million.

The number of lawyers in 1900 is 100.

Every 10 years the number of lawyers doubles and the population increases by 2 million.

Consider number of the lawyer as $x$ and the population of the country as $y$ .

The expression of increasing the number of lawyers can be expressed as follows,

$x = 100 * {2^{\frac{t}{{10}}}}$

The population of the country can be expressed as follows,

$y = 2000000 + 2000000 * \frac{t}{{10}}$

20 percent of the populations are Lawyers.

$\begin{aligned}0.2y&= x\n0.2&= (x)/(y)\n0.2&= \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000\left( {1 + \frac{t}{{10}}} \right)}}\n\end{aligned}$

The equation is $\boxed{0.2 = \frac{{100 * {2^{\frac{t}{{10}}}}}}{{2000000 + 2000000 * \frac{t}{{10}}}}}.$

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponential equation

Keywords: lawyers, in the year 1900, 100 lawyers, 2 million people, 10 years, Country, Acirema, lawyers double, population increase by 2 million, t, number of years, 1903, equation, involving t, solution, 20 percent population are laywers.

Fill in the blank to make a perfect square y^2-12y+?

Answers

$A\ perfect\ square:(a-b)^2=a^2-2ab+b^2\n\ny^2-12y+?\n\ny^2-2y\cdot6+?\n\n\boxed{y^2-2y\cdot6+6^2=y^2-12y+36}=(y-6)^2$

What is the approximate volume of the cone with a height of 9 cm and a radius of 15 cm.

Answers

V = (1/3) pi r^2 h where r is the radius of the circular base and h is the height of the cone.

V = (1/3) pi (15)^2 * 9

V = 675 pi
V = 2120,575 square cm (approx)

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Answers

After 3 hours.
working;
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Answers

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Round all the way 2689

Answers

2689

rounded to the nearest tens = 2690
rounded to the nearest hundreds = 2700
rounded to the nearest thousands = 3000

If the number before the place it needs to be round off is 5 and above, then it is rounded up. If the number is 4 and below, it is rounded down.

For example:
2444

rounded to the nearest tens = 2440
rounded to the nearest hundreds = 2400
rounded to the nearest thousands = 2000

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