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olga nikolaevna [1]
3 years ago
14

What is the product ?

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Step-by-step explanation:

[4   2] *  -2   5               = [ 4*-2 + 2*7       4*5+2*-1]

             7     -1

         

        = [-8+14        20-2]

        = [6    18]

             

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Solve for x:<br> 1 1/5x−2 1/3&lt;1/7x+1 1/2
Mashcka [7]

Answer: x

Step-by-step explanation:

1\frac{1}{5}x-2\frac{1}{3}

Add 2\frac{1}{3} on both sides and subtract \frac{1}{7}x on both sides to leave x's on the left side and independent values on the right.

(2\frac{1}{3}-\frac{1}{7}x) +1\frac{1}{5}x-2\frac{1}{3}

1\frac{1}{5}x-\frac{1}{7}x

Solve the fractions.

1(\frac{1}{5}-\frac{1}{7})x

1(\frac{(1)(7)-(5)(1)}{(5)(7)} )x

1(\frac{7-5}{35} )x

1(\frac{2}{35} )x

1\frac{2}{35}x

Convert the mixed fraction 1\frac{2}{35} to an improper fraction. You can do this by multiplying 1 times 35 and adding 2.

\frac{37}{35}x

Now use the reciprocal (inverse fraction) and multiply on both sides to isolate x.

(\frac{35}{37}) (\frac{37}{35})x

x

x

x

5 0
3 years ago
The average number of traffic tickets issued in a city on any given day
Anton [14]

Answer:

The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day  Sunday-Saturday  can be approximated by

T(x) = -6x^2 + 84x + 37

Where  x represents the number of days after Sunday

T(x) represents the number of traffic tickets issued.

Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

Saturday = x=6

Substitute  x= 0

T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37

On Sunday 37 tickets were issued

Substitute  x= 1

T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115

On Monday 115 tickets were issued

Substitute  x= 2

T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181

On Tuesday 181 tickets were issued

Substitute  x= 3

T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235

On Wednesday 235 tickets were issued

Substitute  x= 4

T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277

On Thursday 277 tickets were issued

Substitute  x= 5

T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307

On Friday 307 tickets were issued

Substitute  x= 6

T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

6 0
3 years ago
Based only on the information given in the diagram, it is guaranteed that ДАВС дXYZ. A. True B. False​
EastWind [94]

Answer:

True

Step-by-step explanation:

  1. They both have a 90 degree angle
  2. 90+38=128
  3. 180-128=52
  4. The triangles are similar by AAA(Angle Angle Angle)
6 0
3 years ago
Each<br>angles<br>of<br>an equilateral<br>traingle is 60, proove it<br>experimentally<br>​
MArishka [77]

Answer:

True

Step-by-step explanation:

We knwo this is true because a triangle angle theorem is that the sum of the angles in a triangle is equal to 180 degrees.

Since tri = 3 then,

=> 180/3 = 60

Equal = same --> def. of equilateral triangle

Thus, we know it is true that in an equilateral triangle, each angle is 60 degrees

Hope this helps!

5 0
3 years ago
Solve for x: 9(x+1) = 25+X
Inessa [10]

Answer:

x=2

Step-by-step explanation:

9(x+1) = 25+x      

<u>Distribute the 9:</u>

<u />

  9x+9=25+x      

   

<u>Subtract x on both sides:</u>

<u />

  8x+9=25                      

   

<u>Subtract 9 on both sides:</u>

<u />

        8x=16    

                           

<u>Divide both sides by 8:</u>

          x=2

5 0
3 years ago
Read 2 more answers
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