<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D%20%284%20-%203x%29%20%3D%20%5Cfrac%7B1%7D%7B7%7D%20%283x%20-%204%29" id=

All categories

2 years ago

"TexFormula1" title="\frac{1}{5} (4 - 3x) = \frac{1}{7} (3x - 4)" alt="\frac{1}{5} (4 - 3x) = \frac{1}{7} (3x - 4)" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

HACTEHA [7]2 years ago

6 0

Answer:

1×(4-3x)/5=1×(3x×4)/7

(4-3x)/5=(3x-4)/7

7(4-3x)=5(3x-4)

28-21x=15x+21x

28+20=15x+21x

48=36x

48/36=x

x=4/3

You might be interested in

A transformation is applied to the smaller triangle, A, to

Sergio039 [100]

Answer: dilation

Step-by-step explanation:

8 0

3 years ago

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius o

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have r = 1cm and H = 21cm. Substitute:

$V=\pi(1^2)(21)=21\pi\ cm^3$

The formula of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have V = 21π cm³ and H = 7cm. Substitute:

$\dfrac{1}{3}\pi(r^2)(7)=21\pi$ <em>divide both sides by π</em>

$\dfrac{1}{3}(7)(r^2)=21$ <em>divide both sides by 7</em>

$\dfrac{1}{3}r^2=3$ <em>multiply both sides by 3</em>

$r^2=9\to r=\sqrt9\\\\r=3\ cm$

5 0

3 years ago

Read 2 more answers

5+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16x%5E%7B2%7D%20-37x-2%20%7D%3D4x" id="TexFormula1" title="\sqrt{16x^{2} -37x-2 }=

bonufazy [111]

Answer:

Step-by-step explanation:

$\sqrt{16x^2-37x-2} =4x-5\\squaring~ both~sides\\16x^2-37x-2=16x^2-40x+25 ~[(a-b)^2=a^2-2ab+b^2]\\16x^2-37x-2-16x^2+40x-25=0\\3x-27=0\\3(x-9)=0\\x-9=0\\x=9$

4 0

3 years ago

The Tonga Trench is at an elevation of 35,702 feet below sea level. The South Sandwich Trench is at an elevation of 23,737 feet

Svetach [21]

Both elevations or numbers are already expressed as a rational number. This is because a rational number is defined as a number that can be expressed as a quotient or fraction of two numbers:

p / q

Since in this case, q may be equal to 1, then both are rational numbers.

4 0

3 years ago

A six-sided die is rolled twice. What is the probability that the result of both rolls are

Anestetic [448]

Answer:

1/36

Step-by-step explanation:

If a cube rolls and it landed on one it’s 1/6 if u rolled he same cube and got one too then it’s still 1/6 so now u just multiply them

Hope this helps

7 0

3 years ago

Read 2 more answers