Solve: 4(6x - 10) = 8x + 40
A 0
B.5/2
c. 23
D. 5
<h3><u>Answer:</u></h3>
Option D
The solution to given equation is x = 5
<h3><u>Solution:</u></h3>
Given that we have to solve the given equation
4(6x - 10) = 8x + 40
Let us solve the above expression and find value of "x"
Multiplying 4 with terms inside bracket in L.H.S we get,
24x - 40 = 8x + 40
Move the variables to one side and constant terms to other side
24x - 8x = 40 + 40
Combine the like terms,
16x = 80
Thus solution to given equation is x = 5
The volume of a box like this is found by multiplying the length times the width times the height. We are told that the length is 8 more inches than the width, so the width is w and the length is w + 8. If we cut away 3 square inches from each corner, the height when we fold up those corners is going to be 3. The volume is given as 27, so our formula looks like this:
. When we do that multiplication, we have
. We need to solve for w so we can then solve for h. Move the 27 over and set the quadratic equal to 0.
. We can then factor out a 3 to make the job easier:
. Now we can factor to solve for w. The 2 numbers that add up to 8 and multiply to -9 are 9 and -1. So (w+9) = 0, (w-1) = 0, or 3 = 0. Of course 3 doesn't equal 0, so that's out. w + 9 = 0 so w = -9. w - 1 = 0 so w = 1. There are 2 things in math that can never EVER be negative and those are time and distance/length. So -9 is out. That means that w = 1. But don't forget that there was 6 inches cut off each side, so the width is 1 + 3 + 3 which is 7. The length is w + 8 which means that the length is 7 + 8 or 15. Those are the dimensions of the rectangle before it was cut.
Answer:
7.810.
Step-by-step explanation:
that is the answer
The original number was: " 14 " .
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a + 5 = b ;
b * 7 = 133 .
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What is: "a" ?
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133 / 7 = 19 = b ;
a + 5 = b = 19 ;
a + 5 = 19 ;
Subtract "5" from each side of the equation;
to isolate "a" on one side of the equation; and to solve for "a" ;
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a + 5 − 5 = 19 − 5 ;
to get:
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a = 14 .
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Let us check our answer:
Start with "14" ;
Add "5" : "14 + 5 = 19 " .
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then multiply by "7" : "19 * 7"
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and the result is: 133 ?
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19 * 7 = ? 133 ? Yes!
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Answer:
20/n+10 = 10/n+20 n
multiply both side n,
n (20/n+10) = n(10/n+20 n)
20+10n = 10+20n^2
20+10n -20 = 10+20n^2 -20
10n = 20n^2 -10
10n - 10n = 20n^2 -10 -10n
0 = = 20n^2 -10 -10n
20n^2 -10 -10n = 0
n = 1 or n = -0.5
Step-by-step explanation:
