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3 years ago

What is the value of x in the equation 2x + 1/2x + 2(1+x) = 29?

Mathematics

1 answer:

erica [24]3 years ago

5 0

Answer:

Step-by-step explanation:

$2x + \frac{1}{2} x + 2(1 + x) = 29$

Multiply through by 2

That's

$4x + x + 4(1 + x) = 58$

Expand

That's

5x + 4 + 4x = 58

9x = 58 - 4

9x = 54

Divide both sides by 9

That's

$\frac{9x}{9} = \frac{54}{9}$

We have the final answer as

Hope this helps you

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12x + 8y = 24 Convert from standard form to slope-intercept form.

irga5000 [103]

Y= —12/8x + 3 is the slope into form because 12x + 8y = 24 minus 12x on both sides . 8y= —12x + 24 divide 8y by 8y and —12x + 24 over 8 you will get y = —12/8x + 3

7 0

3 years ago

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

Tema [17]

Answer:

Small box weighs 13.75 kg & large box weighs 15.75 kg

Step-by-step explanation:

We can write 2 simultaneous equation and solve for weight of each box.

Let weight of large box be l and small box be s.

"3 large boxes and 5 small boxes has a total weight of 116 kilograms":

$3l+5s=116$

and

"9 large boxes and 7 small boxes has a total weight of 238 kilograms":

$9l+7s=238$

Now we can solve for l in the 1st equation and put it into 2nd equation and get s:

$3l+5s=116\\3l=116-5s\\l=\frac{116-5s}{3}$

now,

$9l+7s=238\\9(\frac{116-5s}{3})+7s=238\\3(116-5s)+7s=238\\348-15s+7s=238\\348-238=15s-7s\\110=8s\\s=\frac{110}{8}=13.75$

now we plug in 13.75 into s into equation of l to find s:

$l=\frac{116-5s}{3}\\l=\frac{116-5(13.75)}{3}\\l=15.75$

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3 years ago

Write -621,000 in scientific notion

Nuetrik [128]

Answer:

-6.21 x 10^5

Step-by-step explanation:

The negative only comes when the numbers are in the decimal to right such as 0.1 when its on the left side it just mean positive power such as 6.0= a positive, negative power = 0.6 count how many numbers there are (6) then get the last number as the whole number and the rest are behind (-6.21) count all the numbers besides the last number (6) now that is your power so you get -6.21 x 10^5

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3 years ago

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Add the fractions. 1/2+ 1/12

hjlf

Answer:

1283/1000

Step-by-step explanation:

or 2/14

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3 years ago

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