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3 years ago

Write the following decimal as a fraction in simplest form 45/100

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

Answer:

Step-by-step explanation:

decimal: 45/100 = 0.45

fraction in simplest form: 45/100 = 9/20

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James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired a

dimulka [17.4K]

Answer:

6 mile/hour

Explanation :

Let the speed of walking of James = x mile/hour

speed of jogging = 2x mile/hour

9/2x + 1.5/x = 2

= > (9 + 3)/2x = 2

= > 12 = 4x

= > x = 3

Average speed of walking = 3 mile/hour

Average speed of jogging = 2 * 3 = 6 mile/hour

5 0

3 years ago

An irrational number is considered irrational if it meets one of two rules. What are the two rules?

uranmaximum [27]

Answer:

Step-by-step explanation:

A number that cannot be exactly expressed as a ratio of two integers.

An irrational number cannot be written as a simple fraction.

Pi is a famous irrational number.

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Bobby remembered he had a coupon in his pocket that will take an additional 30% off the price of the shirts calculate the new to

garik1379 [7]

Answer:

You subtract the percentage by the shirt costs. And then you'll have your answer. Then add on the sales tax.

6 0

3 years ago

4) Choose the correct inequality for this situation.

Ksenya-84 [330]

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).

6 0

3 years ago