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Juliette [100K]
2 years ago
6

Three times a number added to half a second number

Mathematics
1 answer:
Licemer1 [7]2 years ago
5 0

Answer:

3x + 1/2x

Step-by-step explanation:

Just replace "a number" with x

"Three times x added to half x"

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Please help this is due tomorrow
mote1985 [20]

Answer:

8

Step-by-step explanation:

because if you do it then the anwser would be 8.5 so it could be 8 or 9

7 0
3 years ago
Read 2 more answers
Suppose two radii of a circle determine a 45° angle, and the length of both radii is 64 yards. What is the arc length formed by
Ilia_Sergeevich [38]

The arc length formed by the 2 radio is 15.24 yards

Step-by-step explanation:

Angle between the 2 radio = 45°

Radius = 64 yards

Arc length = (45/360) (2π) (64)

= (1/8) (2π) (64

= 16π

= 16(3.14)

=15.24 yards

The arc length formed by the 2 radio is 15.24 yards

8 0
3 years ago
Solve for x -8x = -48
Ludmilka [50]

<u><em>Answer: x=6 *The answer should be the positive sign.*</em></u>

Step-by-step explanation:

division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.

divide by -8 both sides of an equation.

-8x/-8=-48/-8

48/8=6

48/6=8

8*6=48

x=6

Hope this helps!

Thanks!

Have a great day!

5 0
2 years ago
What is the factorise 3m-6
cupoosta [38]

The answer is:      "  3(m − 2)  "  .

__________________________________

  →  The "factorized version" of the binomial expression, " 3m − 6 " ,  is:

__________________________________

                →   "  3(m − 2) " .

__________________________________

Explanation:

To solve:

__________________________________

<u>Note</u>:  We are given the expression:  " 3m − 6 " ;

and we are asked to "factorize" this expression.

Note that this expression is a "binomial expression" — which means there are two (2) terms — in this case:   "3m" and "6" .

Since only one (1) of these 2 (two) terms has a variable, and the remaining terms is a "constant" (non-zero integer), write these 2 (two) terms as:

 1)  the coefficient of the variable given in the term shown with a "coefficient" :

       →   that is:  "3"  ;  and:

 2)  the other term:  "6" .

→  With the numbers:  "3 and 6" , we can factor out a "3" ;  

          →  {since:  " 6 ÷ 3 = 2 "} ;

 →   So;  given:  

               " 3m − 6 " ;  

 →   We can "factor out" a "3" ; as follows:

           →   Take the first term:  " 3m " :

                    " 3m  =  3 * m " ;

__________________________________

           →   Take the second term:  "  6 " :

                    "  6 = 3 * (what value?) ;

                 → divide each of this equation by "3" ;

    to isolate the "missing value" on one side of the equation; & to solve for the "missing value" ; as follows:

        →           "  6 / 3 = [ 3 * (what value?) ] / 3  ;

                    →  to get:  " 2  =  "(the missing value)"  ;

    →   So;    "  6 = 3 * (what value?) ;

           →     " 6 = 3 * 2 " .  

           →   Take the second term:  "  6 " :

           →     " 6 = 3 * 2 " .

__________________________________

So:    " 3m − 6 "  =  (3 * m) − (3 * 2) " .  

Factor out a "3" ;  as follows:

__________________________________

    →  " 3m − 6 "  =  (3 * m) − (3 * 2) " ;

                           =   " 3(m − 2)  "

__________________________________

Let us check our answer:

__________________________________

Note the "distributive property of multiplication"  :

__________________________________

        a(b + c) = ab +  ac ;  

        a(b − c) = ab −  ac ;

__________________________________

So:  Take our answer:  " 3(m − 2) " .

__________________________________

" 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

__________________________________

Let us substitute "4" for "m" ;  in both sides of the equation;

              →  to see if the equation holds true;  i.e. to see if both sides of the equation are equal when:  " m = 4 " ;

__________________________________

 We have:

__________________________________

     →  " 3(m − 2)  = ?  (3*m)  −  (3*2)  " ??  ;

First let us rewrite this equation;  substitute "4" for "m" ; as follows:

     →   " 3(4 − 2)  = ?  (3*4)  −  (3*2)  " ??  ;

__________________________________

And calculate;  to see if each side of the equation is equal ; i.e. to see if the equation holds true; as follows:

     →   " 3(2)  = ?  (12)  −  (6)  " ??  ;

     →   "  6  = ?  (6)  " ??  ;

     →   "  6 = 6 " !  Yes!  The equation holds true!

__________________________________

Hope this answer was helpful!

Best wishes!

__________________________________

8 0
3 years ago
Kenneth earns $450 for working 37 1/2 hours. If Kenneth works for 42 hours next week, how much will he earn. A.255.00. B.12.00.
iren2701 [21]

Answer:

Kenneth will earn about $ 504 the next week

Step-by-step explanation:

The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.

to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.

This is 450/ 37.5 = 12 dollars per hour.

Kenneth earns $12 per hour.

If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week

5 0
2 years ago
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