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Pani-rosa [81]
1 year ago
13

- The cost of an item to a retail store is $61. The

Mathematics
1 answer:
sertanlavr [38]1 year ago
8 0
The answer to your question is D
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F is directly proportional to a.<br>If F = 42 when a 7 find<br>a when F = 18<br>​
horrorfan [7]

Answer:

a=3

Step-by-step explanation:

The formula for direct proportion is

f = ka

Let f= 42 and a = 7

42 = k*7

Divide each side by 7

42/7 = k7/7

6 =k

f = 6a

Let f = 18

18 = 6a

Divide each side by 6

18/6 = 6a/6

3 =a

7 0
2 years ago
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If four men need $24.00 worth of food for a three-day camping trip, how much will two men need for a two-week trip?
Vitek1552 [10]
$56 because  24 divided by 4 men divided by 3 days=2 times 14 days times 2 men=56
3 0
2 years ago
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Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and n
miskamm [114]
Time = 3 miles / (20 mph - wind velocity)
time = 2 miles / (20 mph + wind velocity)

3 miles / (20 mph + wind velocity) = 2 miles / (20 mph - wind velocity)

3/2 =  (20 mph + wind velocity) / (20 mph - wind velocity)

1.5 =  (20 mph + wv) / (20 mph -wv)

30 mph -1.5wv = 20 mph -wv

10 mph = 2.5 wv

wind velocity = 4 mph


3 0
1 year ago
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If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordi
vladimir1956 [14]

Answer:

A' (-4,0)

Step-by-step explanation:

<u><em>The complete question is</em></u>

If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x minus 2, y + 2), what will be the coordinates of A prime? On a coordinate plane, triangle A B C has points A(negative 2, negative 2), B(negative 2, negative 4), C(2, negative 4)

we know that

The rule of the translation is

(x,y) -----> (x-2,y+2)

The coordinates of point A (-2,-2)

Applying the rule of the translation to coordinate A

A (-2,-2) ----- A' (-2-2,-2+2)

A (-2,-2) ----- A' (-4,0)

5 0
2 years ago
Read 2 more answers
Uranus has a mass of 8.68 1025 kg and a radius of 2.56 107 m. Assume it is a uniform solid sphere. The distance of Uranus from t
Lelechka [254]

Answer

Given,

Mass of the Uranus, M = 8.68 x 10²⁵ Kg

Radius of Uranus, R = 2.56 x 10⁷ m

Distance of Uranus, D = 2.87 x 10¹² days

a) Rotational Kinetic energy of the Uranus

moment of inertia of the Uranus

  I = \dfrac{2}{5}MR^2

  I = \dfrac{2}{5}\times 8.68\times 10^{25}\times (2.56\times 10^7)^2

         I = 22.75 x 10³⁹ kg.m²

  Angular speed

     \omega = \dfrac{2\pi}{T} = \dfrac{2\pi}{17.3\times 3600}\

    \omega = 1 \times 10^{-4}

 Rotational Kinetic energy

     KE = \dfrac{1}{2}I\omega^2

     KE = \dfrac{1}{2}\times 22.75\times 10^{39}\times (10^{-4})^2

      KE = 11.38\times 10^{31}\ J

b) Rotational Kinetic energy of Uranus in its orbit around sun

moment of inertia of the Uranus

  I = \dfrac{2}{5}MR^2+ Ma^2

  I = 22.75\times 10^{39}+ 8.68\times 10^{25}\times (2.87\times 10^{12})^2

      I = 7.15 x 10⁵⁰ kg.m²

Angular speed

     \omega = \dfrac{2\pi}{T} = \dfrac{2\pi}{3.08\times 10^4\times 3600\times 24}\

    \omega =2.36\times 10^{-9}

 Rotational Kinetic energy

     KE = \dfrac{1}{2}I\omega^2

     KE = \dfrac{1}{2}\times 7.15\times 10^{50}\times (2.36\times 10^{-9})^2

      KE = 1.99\times 10^{33}\ J

6 0
2 years ago
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