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2 years ago

What is the answer to 7(2x)-3=24x+9

Mathematics

1 answer:

masha68 [24]2 years ago

3 0

Answer:

x= -6/5

Step-by-step explanation:

First, you get rid of parentheses.

Next, you multiply

After that, you add 3 to both sides of the problem

Then you simplify

Subtract 24x from both sides of the equation

Simplify

Divide both sides of the problem by the same term

Simplify

I hope this helped.

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A set of positive and negative rational numbers is shown.

Troyanec [42]

Answer:1 3/4 < 1 7/8
Showing the workThe least common denominator is 8Comparing 14/8 and 15/8:
14/8 < 15/8 ... ..... ... ....therefore1 3/4 < 1 7/8

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2 years ago

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Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun

Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

$l*h=420$ <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

$l= 32-2w$

$h=19-2w$

Therefore,

$l*h=420\\\\(32-2w)(19-2w)=420$

We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.

Now we find the dimensions of the rug:

$l=32-2(2)=28\\\\h=19-2(2)=15$

The rug is 15 ft wide and 28 ft long.

8 0

3 years ago

The table represents the amount of storage space, in megabytes, used by music files on Zayd’s computer.

goldenfox [79]

Answer:

As the number of files increases, the storage space used increases.

4 0

1 year ago

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The histogram below shows cell phone data usage in megabytes (Mb).

k0ka [10]

Answer:

200 – 300 Mb

Step-by-step explanation:

Becuse 200-300 is in the middle of the graph its a really simple qustion

4 0

2 years ago

She had $3000. She spend 40% of the money in smart TV and 15% of the remainder on Game Set. (a) What % of the money had she left

Dovator [93]

Answer: She had left 54% of the money which is $1620.

Step-by-step explanation:

40% of $3000 = $1200

15% of $1200 = $180

$3000 - ($1200 + $180)

$3000 - $1380 = $1620

$1620 is the money she had left.

$1620 is 54% of $3000

She had 54% left of the money.

Hope that helped~!

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2 years ago