All categories

3 years ago

540 less than the product of 54 and a number is 918

Mathematics

1 answer:

andrew-mc [135]3 years ago

8 0

$54n - 540 = 918\\54n = 1458\\n = 27$

That number is 27.

You might be interested in

Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

3 years ago

Given the functions f(x)=4x+8 and g(x)=2x-12 Find f(x)+g(x)

Bingel [31]

Answer:

6x - 4

Step-by-step explanation:

f(x) + g(x)

= 4x + 8 + 2x - 12 ← collect liketerms

= 6x - 4

6 0

3 years ago

Read 2 more answers

The figures are similar. Find x. The ratio of the perimeters is 7 : 10 how do I find x

Elena L [17]

7/10 = x/12 which mean you need to multiply each side by 12 to find x. So the answer would be X= 8.4

8 0

3 years ago

1) A golf store pays its wholesaler $40 for a certain club, and then sells it to

Rina8888 [55]

Answer:

Step-by-step explanation:

+#:2:$;$;$:*&#::jsgsvszgsvvsvs

5 0

3 years ago

Read 2 more answers

∠FAE measures 72°. What other angle must measure 72°?

qwelly [4]

Answer: it’s angle FBE

Step-by-step explanation:

5 0

3 years ago