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3 years ago

Simplify the expression. 4/5-7/9+1/5

2 answers:

8 0

Find the LCD (Least common denominator) from 5, 9, 5 and that would be 45.

make the denominators the same as the LCD

simplify, now the denominators are equal and in harmony

join the denominators together

simplify and you get 10/45

simplify and your answer would be 2/9.

lys-0071 [83]3 years ago

3 0

4/5 - 7/9 + 1/5
(4/5 + 1/5) - 7/9
1 - 7/9
9/9 - 7/9
2/9 <==

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PLEASE HELP WILL GIVE 1ST RIGHT ANSWER AS BRAINIEST The radius of a circle is x+6 and its diameter is 3x+5. What is the circumfe

Rzqust [24]

Answer:

The circumference of the circle = 26π unit.

Step-by-step explanation:

Given:

Radius of the circle, r = "x+6"

Diameter of the circle, d = "3(x)+5"

We have to find the circumference of the circle in terms of pi.

Formula to be used:

Circumference of a circle = 2πr or πd

As we know that:

Radius = Half of diameter

So,

⇒ $radius=\frac{diameter}{2}$

⇒ $x+6=\frac{3x+5}{2}$

⇒ $2\times (x+6)=\frac{3x+5}{2}\times 2$

⇒ $2x+12=3x+5$

⇒ $12-5=3x-2x$ ...<em>Arranging variables and constants. </em>

⇒ $7=x$

Plugging x = 7 we will find the radius and the diameter.

⇒ Radius = "x+6" = "7+6" = 13

⇒ Diameter = "3(x)+5" = 3(7)+5 =26

Lets find the circumference of the circle.

⇒ Circumference = $2\pi r= 2\pi (13) = 26 \pi$ Or

⇒ Circumference = $\pi d=\pi (26)=26\pi$

The circumference of the circle = 26π unit.

4 0

3 years ago

Georgia bought a packge of of 14 dollies to use in her valentines.She used 5/7 of the package to make her in valentines. How man

max2010maxim [7]

Answer: Georgia used 10 dollies and she has left 4 dollies .

Step-by-step explanation:

Given: Georgia bought a package of of 14 dollies to use in her valentines.

Therefore, the number of dollies in a package = 14

If she used $\frac{5}{7}$ of the package to make her in valentines.

The number of dollies she used = $\frac{5}{7}\times14=5\times2=10$

The number of dollies left = $14-10=4$

Hence, Georgia used 10 dollies and she has left 4 dollies .

5 0

3 years ago

Multiply.

Nady [450]

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Explanation:</h2>

Here we have the following expression:

$3\sqrt{22}\sqrt{58}\sqrt{18}$

So we need to simplify that radical expression. By property of radicals we know that:

$\sqrt[n]{a}\sqrt[n]{b}=\sqrt[n]{ab}$

So:

$3\sqrt{22}\sqrt{58}\sqrt{18}=3\sqrt{22\times 58 \times 18}=3\sqrt{22968}$

The prime factorization of 22968 is:

$22968=2^3\cdot 3^2\cdot11\cdot 29$

Hence:

$3\sqrt{22968}=3\sqrt{2^3\cdot 3^2\cdot11\cdot 29}=3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29}$

By property:

$\sqrt[n]{a^n}=a$

So:

$3\sqrt{2^2\cdot 3^2\cdot 2\cdot 11\cdot 29} \\ \\ 3(2)(3)\sqrt{2\cdot 11\cdot 29}=18\sqrt{638}$

Finally:

$\boxed{3\sqrt{22}\sqrt{58}\sqrt{18}=18\sqrt{638}}$

<h2>Learn more:</h2>

Radical expressions: brainly.com/question/13452541

#LearnWithBrainly

3 0

3 years ago

Solve for x to the nearest tenth.

Liula [17]

Answer: 11.4

Step-by-step explanation:

8 0

3 years ago

When no more than 110 units are produced, the cost of producing y units is given by C(x).

Maslowich

Producing 73.8 units gives the lowest possible average cost.

The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:

AC = C(x) / x

AC = (0.2x³ – 24x² + 1514x +30064) / x

AC = 0.2x² - 24x + 1514 + 30064/x

The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:

AC' = 0.4x - 24 - 30064/x²

0.4x - 24 - 30064/x² = 0

0.4x³ - 24x² - 30064 = 0

Solving the cubic polynomial gives:

x = 73.8 units

Therefore the lowest possible average cost is when 73.8 units are produced.

Find out more at: brainly.com/question/20346871

6 0

3 years ago