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MAXImum [283]
3 years ago
11

Simplify 4x + 3y + 6 + 2x + 4y

Mathematics
2 answers:
Ad libitum [116K]3 years ago
6 0

You add like terms, which means add the values with the x value, and the values with the y value, and never mix them. So for the x values, you have 4x + 2x, which equals 6x. Then you add the y values, 4y + 6y to get 10y. Then you add them to the remaining 6, and get

5x + 10y + 6

Ipatiy [6.2K]3 years ago
4 0

Here are some tips to help:

Like terms: terms that have the same variables and powers.

Examples: 2x & 50x; 100p & 2000p

Problem: Simplify 4x + 3y+ 6+ 2x+ 4y

Solution:

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Write the percent as a fraction in simplest form and as a decimal 36%
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Answer:

0.36, 9/25

Step-by-step explanation:

36% converts to the decimal fraction 0.36.

36% can also be expressed in the reduced fractional form 36/100= 9/25.

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Thomas bought a bag of jelly beans that contained 10 red jelly beans, 15 blue jelly beans, and 12 green jelly beans. What is the
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There are 37 jelly beans so p for the first one is 27/37. That leaves 36 in the bag. So p for the second jelly bean is 10/36=5/18.
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Use the distance formula to answer the question:<br> What is the distance between (5,9), (1, 6)?
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Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

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Hanna's favorite character is sold wearing one of many outfits
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3 years ago
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t
borishaifa [10]

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

8 0
3 years ago
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