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salantis [7]
3 years ago
12

Find two integers whose product is 138 such that one of the integers is seven less than five times the other integer.

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer: the integers are 6 and 23

Step-by-step explanation:

Let x represent one of the integers.

Let y represent the other integer.

The product of the integers is 138. This means that

xy = 138 - - - - - - - - - -1

One of the integers is seven less than five times the other integer. This means that

x = 5y - 7

Substituting x = 5y - 7 into equation 1, it becomes

y(5y - 7) = 138

5y² - 7y = 138

5y² - 7y - 138 = 0

5y² + 23y - 30y - 138 = 0

y(5y + 23) - 6(5y + 23)

y - 6 = 0 or 5y + 23 = 0

y = 6 or y = - 23/5

The only possible value of y is 6

x = 138/y = 138/6

x = 23

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Y = x - v/b ; solve for x
elena-s [515]

Answer:

x = y + v/b

Step-by-step explanation:

You can solve for x by adding v/b to both sides since that is what will isolate x the quickest and that is what you want to do when you need to solve for something.

By adding v/b to both sides, you will end up with x=y+v/b and that’s your answer!

Hope this helps!

(Credit to math-way)

5 0
3 years ago
-3(5+8r)=33-8r what is the work and answer
Lelu [443]
<span>-3(5+8r)=33-8r
-15 - 24r = 33 - 8r
-15 - 33 = - 8r + 24r
-48 = 16r
-48/16 = r
-3 = r
r = -3</span>
6 0
3 years ago
Read 2 more answers
Which expressions can be used to find m∠ABC? Check all that apply.
valina [46]

Answer:

\cos^{-1}(\frac{6.3}{9.8})

\sin^{-1}(\frac{7.5}{9.8})

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

\sin m\angle ABC=\frac{7.5}{9.8}

Take the sine inverse of both sides to get;

m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

\cos m\angle ABC=\frac{6.3}{9.8}

Take the cosine inverse of both sides to get;

m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})

4 0
3 years ago
Find the sum of 12a + 7b, −6a − 9, and 14a − 12b.
Ivan
The answer is:  [A]:  " 20a − 5b − 9 " .
______________________________________
Explanation:
_______________________________________________
  (12a <span>+ 7b) + (−6a − 9) + (14a − 12b) =
 
   12a </span><span>+ 7b  +  1(−6a − 9) + 1(14a − 12b) =
</span>    
   12a + 7b + (1*-6a) + (1*-9) + (1*14a) + (1* -12b) =
      
    12a + 7b − 6a − 9 + 14a − 12b =  ?

Combine the "like terms:

12a − 6a  + 14a = 20a ; 

7b − 12b =  - 5b ;

and then we have "-9" ;
_____________________________________________________
So, write as:   " 20a − 5b − 9 " ;  which is:  Answer choice:  [A].
______________________________________________________
8 0
3 years ago
Read 2 more answers
1. Name of the missing segment.<br> 2.Length of the missing segment.
allochka39001 [22]

Answer:

Name: FE

Length: 13

Step-by-step explanation:

The total length is 34, so you would do 34-21, which equals 13.

6 0
3 years ago
Read 2 more answers
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