Express 83% as a decimal. * 8.3 0.83 83 0.083

The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that ha

diamong [38]

Step-by-step explanation:

The frequency of a radio wave that has a wavelength of 3000m is 100 kHz

(a) Wavelength = 500 m

We know that,

$f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz$

(b) Frequency, f = 800 kHz

$\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m$

Hence, this is the required solution.

5 0

3 years ago

The element bromine turns into a liquid at -7 degrees C, and it turns to a gas at 59 degrees Celsius. From the temperature at wh

scoundrel [369]

it is 59 celsius

.............

5 0

3 years ago

two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each

padilas [110]

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

So there were 150 tickets to sit on a bench and 350 - 150 = 200 tickets to sit on the lawn.

5 0

3 years ago

ASAP!! WILL MARK BRAINLIEST!!!!!!!!

Artyom0805 [142]

Answer:

x = -0.35

Step-by-step explanation:

tep 1 - Multiply 64 and 0.5x. The answer ends up being 32x

Step 2 - You need to get all of the variables on one side and the regular numbers on the other side. To do that, you need to subtract 2.5x from each side so you are left with the equation -10.5 = 29.5x

Step 3 - The final step is to isolate the variable. To do this, you divide each side by 29.5 meaning that x = -0.35

8 0

3 years ago

Find two consecutive integers whose product is 50

GarryVolchara [31]

n, n+1 - two consecutive integers

n(n + 1) = 50 use distributive property

n² + n = 50 subtract 50 from both sides

n² + n - 50 = 0

-----------------------------------------------------

ax² + bx + c =0

if b² - 4ac > 0 then we have two solutions:

[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a

if b² - 4ac = 0 then we have one solution -b/2a

if b² - 4ac < 0 then no real solution

----------------------------------------------------------

n² + n - 50 = 0

a = 1, b = 1, c = -50

b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions

√(b² - 4ac) = √(201) - it's the irrational number

Answer: There are no two consecutive integers whose product is 50.

3 0

3 years ago