They earned 1800 in the five hours. First you need to multiply 12 by 10 and the 12 by 20 which will equal to 360 all together and then you need to multiply that by 5 which equals 1800.

6 0

3 years ago

What's the Constant of Proportianlity/Unit Rate?

Leto [7]

Answer:

1/3 cup of juice per cup of berries

Step-by-step explanation:

The table shows that if we go from 0 to 4 cups (a "run" of 4 cups), the juice output is 1 1/3 (or 4/3) (a "rise" of 4/3 cups), and so the desired constant of proportionality is the unit rate

(4/3) cups

------------------------ = 1/3 cup of juice per cup of berries

4 cups berries

3 0

3 years ago

A plane is flying at a heading of 125° at a speed of 320 mph. The wind is blowing from due North at a speed of 35 mph. Find the

ad-work [718]

Answer:

$301.29\ \text{mph}$

$119.5^{\circ}$

Step-by-step explanation:

$v_p$ = Velocity of plane = 320 mph

$v_w$ = Velocity of wind = 35 mph

$\theta$ = Angle between wind and plane directions = $125^{\circ}$

From triangle law we have resultant

$v_r=\sqrt{v_p^2+v_w^2+2v_pv_w\cos\theta}\\\Rightarrow v_r=\sqrt{320^2+35^2+2\times 320\times 35\cos125^{\circ}}\\\Rightarrow v_r=301.29\ \text{mph}$

Direction is given by

$\phi=\tan^{-1}\dfrac{v_p\sin\theta}{v_w+v_p\cos\theta}\\\Rightarrow \phi=\tan^{-1}\dfrac{320\sin125^{\circ}}{35+320\cos125^{\circ}}\\\Rightarrow \phi=-60.46^{\circ}=180-60.46=119.5^{\circ}$

The magnitude of the plane is $301.29\ \text{mph}$ moving at an angle of $119.5^{\circ}$ .

8 0

2 years ago

Hayden bought some new T-shirts. They're normally priced at $22 however, they are now 44% off. How much did Hayden pay for the T

s2008m [1.1K]

Answer: $12.32

Work: 22 x 0.44=9.68

22-9.68=12.32

5 0

3 years ago

First determine if the given is a ordered pair (-1.7): 4x + y = 3. 2x-y=3​

First determine if the given is a ordered pair (-1.7): 4x + y = 3. 2x-y=3