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Masteriza [31]
3 years ago
13

Solve the two-step equation. − 2 3 x – 21 4 = 27 4

Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0

Answer:

Step-by-step explanation:

I'm going to assume that the problem is -23x -214 = 274

And in that case...

1. First isolate the x-value by adding 214 to both sides of the equation:

-23x = 488

2. Then, divide both sides by -23 to truly get x alone:

x = -\frac{488}{23} or -21.22

defon3 years ago
7 0

Answer:

 x = -18

Add the opposite of the constant on the left:

 -2/3x = 21/4 +27/4 = 48/4 = 12

Multiply the equation by the inverse of the coefficient of x:

 x = (-3/2)(12) = -18

The solution is x = -18.

Step-by-step explanation:

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A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
3 years ago
Find the area of a square if each side is 11 centimeters long
valentinak56 [21]
The area of that square would be 121 cm^2 because :

area of square = length(width)
                         =  11(11) 
                         = 121
Then you also have to square the units(cm). So the final answer would be 121 cm^2                        (the " ^ "represents the exponentiation) 
7 0
3 years ago
What is the 11th term of the geometric sequence 3,6,12,24,…?
Mamont248 [21]

Answer:

The 11th term is 3072.

Step-by-step explanation:

First, find the common ratio and the first term. The common ratio is 6/3 or 2. The first term is 3.

Use the direct formula, xi=a*r^i-1, to find the eleventh term. a is first term, and i is the index or the number of the term.

Substitute: x11=3*2^(11-1)

Or x11=3*2^10

So x11 is 3072

5 0
3 years ago
A pie tin has an area of 81 pi square inches. Which choice below is closest to its
Brrunno [24]

Answer:

can i have the choices

Step-by-step explanation:

7 0
2 years ago
Can someone please help me with this?
natulia [17]
I believe it is -8 since the point where the line is x=80 and y=-10. Then you divide x/y (80/-10) and get -8.
6 0
3 years ago
Read 2 more answers
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