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romanna [79]
2 years ago
7

Solve for x: 3 − (2x − 5)< −4(x + 2

Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:x<−8

Step-by-step explanation:

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Use the method of elimination to solve the pair of simultaneous equation 3a=2b+1,3b=5a-3​
BARSIC [14]

Answer:

       a = 3

        b = 4

Step-by-step explanation:

Simultaneous equation

              3a = 2b + 1

         3a - 2b = 1  ------------------(I)

               3b  = 5a - 3

       -5a + 3b = -3 --------------(II)

Multiply equation (I) by 3  & equation (II) by  2 and then add. So, now 'b' will be eliminated and we can find the value of 'a'.

(I)*3       9a - 6b = 3

(II)*2    <u>-10a + 6b = -6</u>  {Now add}

            -a            = -3

                       a = -3/(-1)

        \sf \boxed{a  = 3}

Plugin a = 3 in equation (I)

              3*3 - 2b = 1

                  9 - 2b = 1

                     -2b  = 1 - 9   {Subtracting 9 from both sides}

                      -2b = - 8        

                         b = (-8)/(-2)         {Dividing both sides by (-2_}

          \sf \boxed{b = 4}                      

7 0
2 years ago
Read 2 more answers
You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from
Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

N+D+Q=72\\0.05N+0.10D+0.25Q=10.20

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

10N+20D+15Q=1,060

Solving the linear system:

N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24

You have found 24 nickels.

7 0
2 years ago
ANSWER BOTH QUESTIONS A AND B PLEASE
Degger [83]

Answer:

A) -192

B) the difference is 77 ft

Step-by-step explanation:

5 0
2 years ago
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Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property.
Tju [1.3M]

Answer:

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

5 0
2 years ago
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100 points! A company makes triangular plates for individual slices of pizza. For each plate, the base is 9 inches and the heigh
daser333 [38]
To find the area you would had to do a an triangle formula so the final answer would be 63 inches
3 0
3 years ago
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