MATHEMATICS HIGH SCHOOL

a fraction is such that the numerator is 2 less than the denominator if you add 3 to the numerator and 5 to the denominator the resulting fraction is 3/5 find the fraction​

Answers

Answer 1
Answer:

Answer:  3/5

Step-by-Step Explanation:

Let x represent the denominator of the fraction, then we have (x-2)/(x)

Now add 3 to the numerator and 5 to the denominator and set it equal to 3/5:

((x-2)+3)/((x)+5)=(3)/(5)\n\n\n\text{Simplify:}\n(x+1)/(x+5)=(3)/(5)\n\n\n\text{Cross Multiply and solve for x:}\n5(x+1)=3(x+5)\n5x+5=3x+15\n2x=10\nx=5

Substitute x = 5 into the original fraction:

((5)-2)/((5))\quad =\large\boxed{(3)/(5)}
Answer 2
Answer:

Answer:

The required fraction is 3/5

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Can someone show me how to do this? What volumes of 60% hydrochloric acid solution and 30% hydrochloric acid solution must be mixed to make 125mL of 36% hydrochloric acid solution?

Answers


u need two equations.x + y = 125
0.60x + 0.30y = (0.36)(125)

x + y = 125
0.60x + 0.30y = 45

solve for a variable in the first equation
y = 125 - x

plug into the second equation
0.60x + 0.30(125 - x) = 45
0.60x + 37.5 - 0.30x= 45
0.30x + 37.5 = 45
0.30x = 7.5
x = 25

plug the answer for x into the first equation
25 + y = 125
y = 100

What is the domain of the square root function graphed below?

Answers

we know that

the domain of the square root function graphed  is equal to

the interval------> [3,∞)

so

the domain is all  real numbers for x\geq 3

and

the range of the square root function graphed  is equal to

the interval------> [1,∞)

so

the range is all  real numbers for f(x)\geq 1

therefore

the answer is the option

x\geq 3

Domain of a function which allows all values to be in it if for those values the function has defined output. The domain of the plotted function is  x \geq 3

What is domain and range of a function?

  • Domain is the set of values for which the given function is defined.
  • Range is the set of all values which the given function can output.

Since in the given plot, the function starts from 3, and is defined for all values after 3, so it is has domain including 3, and all values after 3.

Thus, domain of given function is

x = 3\nand\nx > 3

This can be written in short form as x \geq 3

(remember that usually, input values are on x axis(horizontal axis), and output values of the function are on y axis (vertical axis)

Thus,

The domain of the plotted function is

Option D : x \geq 3

Learn more about domain of a function here:

brainly.com/question/26077568

A small cab carries 4 people. How many small cabs will I need to transport 44 people?

Answers

44/4 = 11, so 11 small cabs would be needed to transport 44 people.
11 small cabs would be needed

The choices below are the conversion of 13.6 millilitres except _______ . 0.0136 dkL.
0.136 dL.
0.0136 L

Answers

.0136 dkl because use the method KHDBDCM when you do this then you will know it wrong
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Does the graph represent an exponential growth
or an exponential decay function?

Answers

there’s no graph......

Answer:

Ummmm... I'm sorry but there is no graph or equation, so I can't answer this question with them...

Which decimal is equivalent to 5/6

Answers

the answer is 0.8333.....
0.8333 or 83.333% your welcome
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