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disa [49]
3 years ago
6

2/5h-7=12/5h-2h+3 Is this equation no solution? How? Show your work

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

To solve this problem, we simply need to solve this equation by adding like terms and isolating the x.

Let's look at the problem. We can see that we can move that variable h on the left side to the right side so we can combine all like terms on that variable and simplify. In order to do this, we subtract 2/5h from both sides.

-7=\frac{12}{5}h-2h+3-\frac{2}{5}h

We can subtract the fractional variables to get 10/5h. If we simplify this, we would get 2h.

-7=2h-2h+3

Let's combine the 2h and we get 0.

-7=3

Is this statement true? No. So yes, this equation would be no solution because the two numbers do not equal to each other.

You might be interested in
Among 6 electrical components exactly one is known not to function properly. If 2 components are randomly selected, find the pro
Oksanka [162]

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10

Total outcomes:

2 components, from a set of 6. So

T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15

Probability:

p = \frac{D}{T} = \frac{10}{15} = 0.6667

66.67% probability that all selected components function properly

3 0
3 years ago
Wich of following are solutions to |x+3|= 4x -7 <br>Answer x= 10/3
Ludmilka [50]

Answer:

10/3

Step-by-step explanation:

|x+3|=4x-7

So |-(x+3)|=|x+3|

We are going to try out two cases:

-(x+3)=4x-7                              and    x+3=4x-7

-x-3=4x-7                                               3=3x-7

 -3=5x-7                                               10=3x

  4=5x                                                   x=10/3

  x=4/5

We are going to test out both because we could something that isn't actually a solution, this is called extraneous.

First thing I'm going to check is 4x-7 for it being positive.

4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative

4(10/3)-7=40/3-7=19/3 which is positive

checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer

5 0
3 years ago
The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write
a_sh-v [17]

Answer:

Perimeter of rectangle:

(4x - 14)\text{ feet}            

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

x\text{ feet}

Width of rectangle:

(x-7)\text{ feet}

Perimeter of rectangle:

2\times \text{(Length + Width)}

Expressions to calculate perimeter

1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}

The attached image shows the image of the rectangle.

3 0
3 years ago
PLEASE HELP ME!!!!!
Vlada [557]

Answer:

I'm not 100% sure but I believe the answer is A

4 0
3 years ago
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..<br> Ty!
GrogVix [38]
12 since there are 12 x’s:)
3 0
3 years ago
Read 2 more answers
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