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siniylev [52]
3 years ago
11

The expression 4x/5-2x/3 is equivalent to

Mathematics
2 answers:
Temka [501]3 years ago
7 0
Mark Brainliest please

Answer:

in order to simplify this you need a common denominator. 15 works well for this. in order to keep the expression equivalent, we must multiply everything by the same thing, but we can format it in any way we like. we need to multiply everything by 1, but we can rewrite 1 by putting a number over itself, such as 5/5 and 3/3.

so we need to get both denominators to equal 15 but we can only multiply by 1. this means we need to multiply 4x/5 by 3/3 and 2x/3 by 5/5. when we do this we get 12x/15-10x/15

next, we simply combine like terms to get 2x/15 as our final answer
slava [35]3 years ago
5 0
12x/15-10x/15

=2x/15 is your answer
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Answer:19+3x

Step-by-step explanation:

4+3(5+x)

Open bracket

4+15+3x

19+3x

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3 years ago
A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides
ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

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∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=12, b= -100 and c=15

x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}

\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}

\Rightarrow x=0.1528,8.18

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, V''|_{x=0.1528}=24(0.1528)-100

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

4 0
3 years ago
Thirty coins,all dimes and nickels,are worth $2.60. How many nickels are there?
quester [9]

Answer: 12 nickels

Step-by-step explanation:

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3 years ago
What is the quotient <br> 13632 divided by 48
Brilliant_brown [7]

Answer:

284 is the answer

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3 years ago
2+10²× 1 ( I put a lot of Points )
Brilliant_brown [7]

Answer:

= 2+10²× 1

= 2+(10*10)× 1

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= 2+100

=102

8 0
3 years ago
Read 2 more answers
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