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3 years ago

What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x

Mathematics

2 answers:

OlgaM077 [116]3 years ago

5 0

The answer to this is c

klemol [59]3 years ago

3 0

Answer:

Option C is the answer.

Step-by-step explanation:

The given expression is $\frac{(5-3x)}{5}$

We solve it further to get the simplified form.

$\frac{(5-3x)}{5}$ = $\frac{5}{5}-\frac{3x}{5}$

= $(1-\frac{3x}{5})$ [Since $\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}]$

Therefore, option C matches the simplified form of the expression.

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3 years ago

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6 0

3 years ago

An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur

den301095 [7]

Answer:

24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid= $l\times b\times h$

Box is in cuboid shaped

Therefore, volume of box= $6(x-12)(x-12)$

$6(x^2-24x+144)=864$

$x^2-24x+144=\frac{864}{6}$

$x^2-24x+144=144$

$x^2-24x+144-144=0$

$x(x-24)=0$

Then , $x=0 , x-24=0$

$x=24$

x=0 is not possible because side of square metal sheet can not be zero

Therefore, x=24

All sides of square metal sheet are equal.

Hence, side of square metal sheet =24 feet

4 0

4 years ago