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ser-zykov [4K]
3 years ago
7

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.

5 0
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
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