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3 years ago

6(5m - 4) A. 30m - 4 B. 30m - 24 C. 30m + 24 D. 54m

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

Answer:

6(5m-4)

=30m -24

option B

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The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar

krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

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3 years ago

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t

xenn [34]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the denominator be x
So, numerator = x - 2
According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is $\frac{1}{2}$

$\implies \frac{x-2-1}{x-1}=\frac{1}{2}$

$\implies \frac{x-3}{x-1}=\frac{1}{2}$

$\implies 2(x-3)=x -1$

$\implies 2x-6=x -1$

$\implies 2x-x=6-1$

$\implies x=5$

$\implies x-2=-5-2= 3$

$Required \: rational\: number = \frac{3}{5}$

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer: 110

Step-by-step explanation:

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Graph the inequality in the coordinate plane. x<-6

puteri [66]

Answer:

You would make a dotted vertical line running through -6 on the horizontal or x axis. The shading would go to the left side of the line since x is less than -6 and the line is dotted because it is only less than and not equal to.

Step-by-step explanation:

See image

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4 years ago