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Alinara [238K]
2 years ago
5

5. Find x and UV if V is between U and w, with UV = 3x + 7, VW = 4x + 5 and UW = x + 96

Mathematics
1 answer:
ZanzabumX [31]2 years ago
8 0
X=626 and I 7278 baby +_
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The ratio of boys to girls at King Middle school is 3:2. What is the ratio of girls to all students?
Dominik [7]
The answer is:  " 2 :5 " ;  or, write as:  " 2/5 " . 
________________________________________________________
The ratio of 'girls' to 'all students' is:  "2: 5 " ;  or, write as:  " 2/5 ".
________________________________________________________
Explanation:
________________________________________________________
Given:  The ratio of boys to girls is:  " 3:2 " .  

Problem:  Find the ratio of "girls" to "all students:
________________________________________________________
Note:    This ratio of "boys to girls", which is " 3 : 2 " ; 
________________________________________________________
    →  can be expressed as " 3x: 2x"  ;  

in which the total number of students is:  " 3x + 2x " = 5x " .

   → The total number of students is represented as:  " 5x " .  
________________________________________________________
→  The ratio of "girls to boys" is:  "2x : 3x" .

→  {that is;  the "inverse" of the ratio of "boys to girls"} ;  
→  {that is;  the "inverse" of  " 3x: 2x" } ;  →  which is:  " 2x : 3x " .
________________________________________________________ 

The ratio of "girls" to "all students" is:  "2x : 5x "  ;  or " 2x/5x " ; 
                                             → Both "x" values cancel ;  {since: " x/x = 1 "} ; 
_________________________________________________________
       →  and we have the answer:  " 2 :5 " ;  or, write as:  " 2/5 " . 
_________________________________________________________
The ratio of 'girls' to 'all students' is:  " 2 :5 " ;  or, write as:  " 2/5 ".
_________________________________________________________
8 0
3 years ago
Graph f(x)=3x-1 and g(x)=2^x on the same coordinate plane.
julsineya [31]

Answer:

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

3 × 1 - 1 = 2¹     3 × 3 -1 = 2³

    3 - 1 = 2           9 - 1 = 8

        2 = 2                8 = 8

7 0
3 years ago
If there is no solution to a graph of a system of equations, then the lines must be __________.
Viefleur [7K]
Parallel should be your answer! 
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3 years ago
Ryan tried to solve the system of equations shown below.
Romashka-Z-Leto [24]

Answer:

I believe the answer is A

He is correct. If the second equation is multiplied by 2 and added to the first equation, the result is 0=3 , which means the system has no solution.

4 0
3 years ago
What is 34/51 in its simplest form
sveticcg [70]
2/3
divide by 17

34/17 is 2
51/17 is 3
5 0
3 years ago
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