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3 years ago

Which number produces a rational number when added to 1/3

Mathematics

1 answer:

stira [4]3 years ago

8 0

Answer:

I would say 2/3 even though 1/3 is already a rational number.

Step-by-step explanation:

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My name is Ann [436]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo

Scorpion4ik [409]

Answer:

$x=\frac{8}{3}\ cm$

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

$A=\frac{1}{2}(AB)(BC)$

we have

$A=17\ cm^2$

$AB=(3x-2)\ cm$

$BC=(x+3)\ cm$

substitute the values

$17=\frac{1}{2}(3x-2)(x+3)$

$34=(3x-2)(x+3)$

$34=3x^2+9x-2x-6$

$3x^2+7x-6-34=0$

$3x^2+7x-40=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2+7x-40=0$

$a=3\\b=7\\c=-40$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}$

$x=\frac{-7(+/-)\sqrt{529}} {6}$

$x=\frac{-7(+/-)23} {6}$

$x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}$

$x=\frac{-7(-)23} {6}=-5$

therefore

The solution is

$x=\frac{8}{3}\ cm$

6 0

2 years ago

HELP HELP PLS The population city in 2005 was 20,000. By 2015, the city's population had grown to

VLD [36.1K]

Answer:

40250

Step-by-step explanation:

Every 10 years the population goes up by 13,500. So divided 13500/2=6750. Then add6750 to 33500

4 0

2 years ago

What type of function is y=7(5/4)^x

spayn [35]

Answer:

Exponential Growth

Step-by-step explanation:

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3 years ago

What is 2 1/4 ÷ 1/2=

marshall27 [118]

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$2\frac{1}{4}$ ÷ $\frac{1}{2}$ = $\frac{9}{4}$ ÷ $\frac{1}{2}$

Now use K C F method

K - Keep the first fraction

C - Change the division operation to multiplication

F- Flip the second number

$= \frac{9}{4} *\frac{2}{1}\\\\= \frac{9}{2}*1\\\\= \frac{9}{2}\\\\= 4 \frac{1}{2}$

4 0

2 years ago