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ANEK [815]
3 years ago
8

For the sentence below, write an equivalent equation in symbols.

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

  x/3 +x/2 = x-3

Step-by-step explanation:

One-third of the number is x/3.

One-half of the number is x/2.

Three less than the number is x-3.

The expression you want is ...

  x/3 +x/2 = x-3

___

The number is 18.

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Pleasee help x.x 1. Solve the system by elimination-
patriot [66]
Q1. The answer is x = 1, y = 1, z = 0

<span>(i) -2x+2y+3z=0
</span><span>(ii) -2x-y+z=-3 
</span>(iii) <span>2x+3y+3z=5
</span><span>_________
Sum up the first and the third equation:
</span>(i) -2x+2y+3z=0
(iii) 2x+3y+3z=5
_________
5y + 6z = 5

Sum up the second and the third equation:
(ii) -2x-y+z=-3 
(iii) 2x+3y+3z=5
_________
2y + 4z = 2


(iv) 5y + 6z = 5
(v) 2y + 4z = 2
________
Divide the fifth equation by 2
(iv) 5y + 6z = 5
(v) y + 2z = 1
________
Multiple the second equation by -3 and sum the equation
(iv) 5y + 6z = 5
(v) -3y - 6z = -3
________
2y = 2
y = 2/2 = 1


y + 2z = 1
1 + 2z = 1
2z = 1 - 1
2z = 0
z = 0


-2x-y+z=-3
-2x - 1 + 0 = -3
-2x = -3 + 1
-2x = -2
x = -2/-2 = 1



Q2. The answer is x = -37, y = -84, z = -35

<span>(i) x-y-z=-8 
(ii) -4x+4y+5z=7 
(iii) 2x+2z=4
______
</span>Divide the third equation by 2 and rewrite z in the term of x:
(iii) x+z=2
z = 2 - x
______
Substitute z from the third equation and express y in the term of x:
<span>x-y-(2-x)=-8 
x - y - 2 + x = 8
2x - y = 10
y = 2x - 10
______
Substitute z from the third equation and y from the first equation into the second equation:
</span><span>-4x + 4y + 5z = 7 
-4x + 4(2x - 10) + 5(2 - x) = 7
-4x + 8x - 40 + 10 - 5x = 7
-x -30 = 7
-x = 30 + 7
x = -37
y = 2x - 10 = 2*(-37) - 10 = -74 - 10 = -84
z = 2 - x = 2 - 37 = -35</span>
8 0
3 years ago
What number is equivalent to 15 and 25
Gwar [14]

Answer:

yo are you talking about like absolute value?  then it's  | -15 | and | -25 |

Step-by-step explanation:

3 0
3 years ago
There is a rectangular terrain with dimensions "x" and "y". If it is known that its area of ​​is 22m ^ 2 and that x ^ 2 + y ^ 2
Margaret [11]

9514 1404 393

Answer:

  24 m

Step-by-step explanation:

The area formula tells us ...

  22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

  (x^2 +y^2) +2(xy) = (100) +2(22)

  (x +y)^2 = 144

  x +y = √144 = 12

The perimeter is double this amount, so is ...

  P = 2(x +y) = 2(12) = 24 . . . . meters

5 0
3 years ago
What is the volume of a tuna can if the diameter is 13cm and the height is 5cm ?
zloy xaker [14]
The volume of the tuna can is 663.66 cm^3.

Hope that helps!
7 0
3 years ago
What is the volume of a cone when the radius is 6 and the height is 13
lidiya [134]

Answer:

<h2>489.84 units³</h2>

Step-by-step explanation:

Given,

Radius ( r ) = 6

Height ( h ) = 13

Volume of cone = ?

Now, Let's find the volume of cone:

= \pi \:  {r}^{2}  \frac{h}{3}

plug the values

= 3.14 \times  {6}^{2}  \times  \frac{13}{3}

Evaluate the power

= 3.14 \times 36 \times  \frac{13}{3}

Calculate

489.84 units³

Hope this helps..

Best regards!!

6 0
3 years ago
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