25% can be made in to 100% by multiplying it by 4.
Therefore, we can find the answer by multiplying 80 by 4.
80 * 4 = 320
Yes.
Using the distributive property 3(2x-12) = 6x-36
Answer:
x = 2,66
Step-by-step explanation:
4x + 2x = 6 + 10
6x = 16
6x % 6 = 16 % 6
x = 2 ,66
Answer:
x is 11
Step-by-step explanation:
We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)
Substitute the numbers into the equation
y--4=3/4(x-3)
simplify
y+4=3/4(x-3)
do the distributive property
y+4=3/4x-9/4
subtract 4 from both sides
y=3/4x-25/4
this is the equation of the line.
Since it says that (x,2) is a point in the equation, we can substitute it into the equation
2=3/4x-25/4
add 25/4 to both sides
33/4=3/4x
multiply by 4/3
11=x
we can double check by plugging (11,2) into the equation of the line.
2=3/4(11)-25/4
2=33/4-25/4
2=2
it works! :)
Hope this helps!
The answer is: [C]: x <span>< 7 .</span>
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Explanation:
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Given:
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<span>12x – 3x + 11 > 4x – (17 – 9x) ;
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We need to simplify EACH side of the inequality; and then rewrite:
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Let us start with the "left-hand side" :
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</span>12x – 3x + 11
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We see that among the three terms, there are 2 (two) "like terms";
"12x" and "-3x" ;
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So, 12x – 3x = 9x ; and bring down the remaining term, " +11" ;
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9x + 11 ;
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Now, let us simplify the 'right-hand side' of the inequality:
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4x <span> – (17 – 9x) ;
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Treat this expression as:
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</span><span> 4x – 1(17 – 9x) ;
(Note: The coefficient "1" is implied; since anything multiplied by "1" is that same value").
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Note the "distributive property of multiplication" :
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a* (b + c) = ab + ac ; AND:
a* (b </span>– c) = ab – ac ;
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So, we have the expression:
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4x – 1(17 – 9x) ;
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Take the: -1*(17 – 9x); and simplify;
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-1*(17 – 9x) = (-1 * 17) – (-1 * 9x) = -17 – (-9x) = -17 + 9x ;
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We have:
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-17 + 9x ; Rewrite as: 9x – 17
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Now, bring down the "4x"; and rewrite the expression:
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9x – 17 + 4x ;
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Notice that there are 2 (two) "like terms" out of the 3 (three) terms in this expression:
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+9x and +4x ;
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Combine these like terms; and simplify:
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4x + 9x = 13x ;
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Now, bring down the "– 17 " ; and rewrite the entire "right-hand side" expression:
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13x – 17 ;
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Now, we can rewrite the entire equality, by substituting our simplified expressions:
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9x + 11 > 13x – 17 ; Now, solve for "x" ;
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Subtract "9x" from EACH side; and add "17" to EACH side;
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9x + 11 – 9x + 17 > 13x – 17 – 9x + 17 ;
28 > 4x ;
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Now, divide EACH side of the inequality by "4", to isolate "x" on one side of the inequality; and to solve for "x" ;
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28 / 4 > 4x / 4 ;
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7 > x ; or, write as: x <span>< 7 ; which is: "Answer choice: [C] ".
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