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3 years ago

Simplify each each expression. If not possible, write simplified.

Mathematics

1 answer:

Harman [31]3 years ago

6 0

1. 10x
2. 18g
3. 6m
4. 4p
5. -5y
6. 9w
7. c^2+3d
8. 3a^2+2b^2+6a
9. 3x^2+x
10. 16x-y+3
11. 68x^2-34x-1
12. 32
13. 32
14. -9
15. 3m+3n
16. 6x-6y
17. 15f+5

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A hardware store clerk mixed nuts worth $1.32 per kilogram with bolts worth $1.20 per kilogram. If he made 108 kilograms of a mi

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Answer:

the way to work these types of problems is to create a table. The table will have three rows and three columns.

The table:

Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.

Product Amount Cost Total

--------------------------------------------------------

Nuts x .60 .60 * x

Bolts 138 - x .66 .66 * (138 - x)

Mix 138 .65 .65 * (138)

Step-by-step explanation:

The equation:

The nuts plus the bolts must equal the mix or:

.60 * x + .66 * (138 - x) = .65 * 138

I do not like to work with decimals, so multiply each term by 100:

60 * x + 66 * (138 - x) = 65 * 138

Remove the parenthesis and combine like terms:

-6x = -66 * 138 + 65 * 138

-6x = -138

Divide both sides by -6:

x = 23

Solution:

The mixture contains 23 kilograms of nuts.

The mixture contains 138 - 23, or 115 kilograms of bolts.

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2 years ago

Rearrange the quadratic equation so that it is equal to 0. Then factor the equation

goldenfox [79]

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Write the equation of the line parallel to Y equals 2/3X +1 through the point (0,-4) use slope intercept form

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Writing the slope-intercept form of a linear equation, we have:

$y=mx+b$

Where m is the slope and b is the y-intercept.

Since parallel lines have the same slope, we can see that the slope of the line y = 2/3x + 1 is equal m = 2/3, so for our equation we also have m = 2/3.

Now, using the point (0, -4), we have:

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3 years ago

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