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gtnhenbr [62]
1 year ago
15

-6(4x + 5) = -24x - 30 associative property of addition commutative property of multiplication distributive property inverse pro

perty of addition
Mathematics
1 answer:
11111nata11111 [884]1 year ago
5 0

Answer:

distributive property

Step-by-step explanation:

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The answer to the problem is 12. 2 times 3 is 6. 18 divided by 6 is 3 and 3 times 4 is 12.
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Write the standard form of the equation of the line through the given point with the given slope. Through (-2,5), slope =-4
AleksandrR [38]

Answer:

\huge\boxed{4x+y=-3}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

<em />

We have

m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5

Substitute:

y-5=-4(x-(-2))\\\\y-5=-4(x+2)

Convert to the standard form

Ax+By=C

y-5=-4(x+2)                <em> use the distributive property</em>

y-5=(-4)(x)+(-4)(2)

y-5=-4x-8               <em>add 5 to both sides</em>

y-5+5=-4x-8+5

y=-4x-3               <em>add 4x to both sides</em>

4x+y=-4x+4x-3\\\\4x+y=-3

3 0
3 years ago
Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy
tia_tia [17]

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

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13 143 as a unit fraction
Vanyuwa [196]
Divde 13/143 with 13 = 1/11
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