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mezya [45]
3 years ago
11

A=10x + 24 B= 6x + 72

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

Answer:

x = 12

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    10*x+24-(6*x+72)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  4x - 48  =   4 • (x - 12)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-12 = 0

Add  12  to both sides of the equation :

                     x = 12

One solution was found :

                  x = 12

Step-by-step explanation: hope this helps :P

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11
emmainna [20.7K]
I think it is B because 11 is just 11 so yeah
3 0
4 years ago
20 points!!!!
leva [86]

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

          = \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}

Slope of the  perpendicular line = -1/m = -1 ÷ \frac{-7}{6}

                                                     = -1 * \frac{-6}{7} = \frac{6}{7}

6 0
3 years ago
Six times a number is greater than 20 more than that number. What are the possible values of that number?
Mariana [72]
X > 4

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.
8 0
3 years ago
The perimeter of a rectangle is 25 2/5 ft. The length is
Naya [18.7K]

Answer:

Width = 4.85 feet

Length = 7.85 feet

Step-by-step explanation:

Given:

Perimeter of a rectangle = 25 2/5 ft = 25.4 feet

Length = 3 + Width

Computation:

Assume;

Width = a

So,

Length = 3 + a

Perimeter of a rectangle = 2(l + b)

25.4 = 2[(3 + a) + a]

25.4 = 2[3 + 2a]

25.4 = 6 + 4a

4a = 19.4

a = 4.85

Width = 4.85 feet

Length = 3 + 4.85

Length = 7.85 feet

5 0
3 years ago
Two bicycles are traveling along perpendicular roads. Bicycle A is traveling due east at 4 mi/hr, and bicycle B is travelling du
nordsb [41]

Answer:

Step-by-step explanation:

Given

speed of cyclist A is v_a=4 mi/hr

speed of cyclist B is v_b=6 mi/hr

At noon cyclist B is 9 mi away

after noon Cyclist B will travel a distance of 6 t and cyclist A travel 4 t miles in t hr

Now distance of cyclist B from intersection is 9-6t

Distance of cyclist A from intersection is 4 t

let distance between them be z

z^2=(9-6t)^2+(4t)^2

Differentiate z w.r.t time

2z\frac{\mathrm{d} z}{\mathrm{d} t}=2\times (9-6t)\times (-6)+2\times (4t)\times 4

z\frac{\mathrm{d} z}{\mathrm{d} t}=(-6)(9-6t)+4(4t)

\frac{\mathrm{d} z}{\mathrm{d} t}=\frac{16t+36t-54}{z}

Put \frac{\mathrm{d} z}{\mathrm{d} t}\ to\ get\ maximum\ value\ of\ z

therefore 52t-54=0

t=\frac{54}{52}

t=\frac{27}{26} hr

4 0
3 years ago
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