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ratelena [41]
3 years ago
11

Solve for x 6(x-1)=9(x+2)

Mathematics
2 answers:
tigry1 [53]3 years ago
8 0
<span>Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8</span>
soldi70 [24.7K]3 years ago
4 0
6(x-1)=9(x+2)
6x-6=9x+18
6x=9x+24
-3x=24
-x=8
x=-8
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Solving liner equations 2×- 19=30​
ivolga24 [154]

Answer:

x=24.5

Step-by-step explanation:

1. Add 19 to both sides.

2x=49

2. Divide both sides by 2.

x=24.5

3 0
3 years ago
Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades
cluponka [151]

Answer:

The answer is 72

Step by step Explanation:

You add 62 + 78 + 59 + 89

And it equals 288

Then divide that answer by 4

And the answer is 72

5 0
3 years ago
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On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the
Andru [333]
The midpoint formula is \frac{ x_{1} +  x_{2} }{2},  \frac{ y_{1}+ y_{2}  }{2}
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ;  y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint). 

The distance formula is a bit more complicated than that. The distance formula is D=\sqrt{({y_{2}- y_{1} }^{2})  + ({ x_{2}- x_{1}}^{2} )  }
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D=\sqrt{(-5-2)^{2} + (-5-0)^{2}  }
=\sqrt{49+25}
=\sqrt{74} ≈8.6023
8 0
3 years ago
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A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
hoa [83]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

8 0
3 years ago
8 books cost \$19.60$19.60dollar sign, 19, point, 60.
snow_tiger [21]

Answer: C=[ (10) x (19.60)÷ (8)]

Step-by-step explanation:

Given , The cost of 8 books = $ 19.60

Then, By UNITARY method , the cost of one book = ( Cost of 8 books ) ÷ ( 8)

i.e. The cost of one book = ($19.60) ÷ ( 8) ...(i)

Now , cost of 10 books = (10) x (Cost of one book)

From (i) , we get

Cost of 10 books =$[ (10) x (19.60)÷ (8)]

Let C be the cost of 10 books ( in dollars) .

So , the equation would help determine the cost of 10 :

C=[ (10) x (19.60)÷ (8)]

7 0
3 years ago
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