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3 years ago

What is the constant of proportionality

Mathematics

1 answer:

Rama09 [41]3 years ago

6 0

It's another word for unit rate if that helps

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24 is 16% of what number

Eva8 [605]

Is/of = %/100 plug the numbers in 24/x = 16/100 then cross multiply then you get 2400 = 16x so you get x by itself so you would have to divide by 16. 2400/16 = 16x/16 the 16 on the x side cancel out so you get x = 150 (I used proportions)

8 0

3 years ago

Read 2 more answers

Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom

bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

$Speed = \dfrac{Distance}{Time}$

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

$(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)$

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

$(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)$

Adding (1) and (2) to solve for u and v:

$2u = 2240\\\Rightarrow u = 1120\ km/h$

Putting u in (1):

$1120-u=940\\\Rightarrow u = 180\ km/h$

So, the answers are:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

6 0

3 years ago

Heyy beautiful bi+ch, I deleted my other acc because i was getting hated on for being Asian. If you were one of them why hate on

zalisa [80]

Answer:Asian beautiful go you

Step-by-step explanation:

5 0

3 years ago

A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold w

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

8 0

3 years ago

A circle with circumference \blue{6}6start color #6495ed, 6, end color #6495ed has an arc with a 60^\circ60

Bingel [31]

Answer:

$\Delta s = 1$

Step-by-step explanation:

The length of the arc is directly proportional to the angle of the arc, whose measure is determined by simple rule of three:

$\Delta s = \left(\frac{60^{\circ}}{360^{\circ}} \right)\cdot (6)$

$\Delta s = 1$

8 0

3 years ago

Read 2 more answers