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3 years ago

How many integers are between 5/3 and 30/7?

Mathematics

1 answer:

devlian [24]3 years ago

4 0

first off, let's convert the "improper" fractions to mixed,

$\bf \cfrac{5}{3}\implies 1\frac{2}{3}\qquad \qquad \qquad\qquad \qquad \cfrac{30}{7}\implies 4\frac{2}{7}\\\\ -------------------------------\\\\ 1\frac{2}{3}\text{\textemdash\textemdash\textemdash}\boxed{2}\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{3}\text{\textemdash\textemdash\textemdash\textemdash\textemdash}\boxed{4}\text{\textemdash\textemdash}4\frac{2}{7}$

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This is how you solve this problem: 4/5 = 3 = 4/5 x 3 True False

ivann1987 [24]

Answer:

false

Step-by-step explanation:

because when solving fraction as a equation you divide

6 0

2 years ago

write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

EastWind [94]

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Answer: $\textsf{y = -1/4x - 4}$

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Given: $\textsf{Slope = -1/4, Point through = (4, -5)}$

Find: $\textsf{Equation for the line that passes through the given point}$

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

Plug in the values

$\textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}$

$\textsf{y - (-5) = -1/4(x - 4)}$

Simplify and solve for y

$\textsf{y + 5 = -1/4(x - 4)}$

$\textsf{y + 5 = -1/4x + 1}$

$\textsf{y + 5 - 5 = -1/4x + 1 - 5}$

$\textsf{y = -1/4x - 4}$

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

5 0

2 years ago

The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the y

kvasek [131]

Answer:

P(t) = A * (1 + r)^t ;

14,922 ;

Year 2013

Step-by-step explanation:

Given the following :

Continuous growth rate(r) = 5% = 0.05

Population in year 2000 = Initial population (A) = 10,100

Time(t) = period (years since year 2000)

Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).

P(t) = A * (1 + r)^t

Trying out our function for t = year 2000, t =0

P(0) = 10,100 * (1 + 0.05)^0

P(0) = 10,100 * 1.05^0 = 10,100

B.)

Use your function from part (a) to estimate the fox population in the year 2008.

Year 2008, t = 8

P(8) = 10,100 * (1 + 0.05)^8

P(8) = 10,100 * 1. 05^8

P(8) = 10,100 * 1.4774554437890625

= 14922.29

= 14,922

c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

P(t) = A * (1 + r)^t

18400 = 10,100 * (1.05)^t

18400/10100 = 1.05^t

1.8217821 = 1.05^t

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

0.0487901 * t = 0.5998151

t = 0.5998151 / 0.0487901

t = 12.293787

Therefore eit will take 13 years

2000 + 13 = 2013

4 0

3 years ago

What is pi 3.15 3.75 3.14

andrey2020 [161]

Your question;
What is pi?
My answer;
Pi or π is commonly known as 3.14
Hope I helped,
♥ James

6 0

3 years ago

Read 2 more answers

If the terminal side of angle θ , in standard position, passes through the point (16,63)

Fantom [35]

Answer:

Step-by-step explanation:

sinθ = 63/√(16² + 63²) = 63/65

cosθ = 16/65

6 0

2 years ago