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ryzh [129]
3 years ago
12

if 1 is added to six times a number, the result is equal to 6 more than five times the number. Find the number

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

x=5

Step-by-step explanation:

let x be the number

1+6x = 6+5x

6x-5x=6-1

x=5

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7 0
3 years ago
39 is what percent of 82
s2008m [1.1K]

Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

3 0
3 years ago
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Solve for a. a+(−4)=−13
dangina [55]
In your equation:  a+(-4)=-13
you then add four to each side, 
so a= negative 13 plus 4
so a=  -9
6 0
2 years ago
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What’s is the value of n? HELP ASAP PLEASE
earnstyle [38]

Answer:

The answer should be 69°

Step-by-step explanation:

Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°

1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°

2. On the top left you have 131° so 180°-131°=49°

Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.

3. 20°+49°=69°

4. 180°-69°=111°

Then you do the same thing as the beginning which would be n°+111°=180°

5. n°+111°=180°, that means n=69°

Hopefully that clears it up for you :)

7 0
3 years ago
Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
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