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3 years ago

What is the solution and the inequality ?

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

Inequality : 19.50n+24≤$110

Solution: Alyssa can buy 4 DVDs

Work: 110-24=86
86/19.50 = 4.4

You can't have a fraction of a DVD, so you have to round down to 4.

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A 1/17th scale model of a new hybrid car is tested in a wind tunnel at the same Reynolds number as that of the full-scale protot

Olegator [25]

Answer:

The ratio of the drag coefficients $\dfrac{F_m}{F_p}$ is approximately 0.0002

Step-by-step explanation:

The given Reynolds number of the model = The Reynolds number of the prototype

The drag coefficient of the model, $c_{m}$ = The drag coefficient of the prototype, $c_{p}$

The medium of the test for the model, $\rho_m$ = The medium of the test for the prototype, $\rho_p$

The drag force is given as follows;

$F_D = C_D \times A \times \dfrac{\rho \cdot V^2}{2}$

We have;

$L_p = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2 \times L_m$

Therefore;

$\dfrac{L_p}{L_m} = \dfrac{\rho _p}{\rho _m} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_m} \right)^2$

$\dfrac{L_p}{L_m} =\dfrac{17}{1}$

$\therefore \dfrac{L_p}{L_m} = \dfrac{17}{1} =\dfrac{\rho _p}{\rho _p} \times \left(\dfrac{V_p}{V_m} \right)^2 \times \left(\dfrac{c_p}{c_p} \right)^2 = \left(\dfrac{V_p}{V_m} \right)^2$

$\dfrac{17}{1} = \left(\dfrac{V_p}{V_m} \right)^2$

$\dfrac{F_p}{F_m} = \dfrac{c_p \times A_p \times \dfrac{\rho_p \cdot V_p^2}{2}}{c_m \times A_m \times \dfrac{\rho_m \cdot V_m^2}{2}} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}$

$\dfrac{A_m}{A_p} = \left( \dfrac{1}{17} \right)^2$

$\dfrac{F_p}{F_m} = \dfrac{A_p}{A_m} \times \dfrac{V_p^2}{V_m^2}= \left (\dfrac{17}{1} \right)^2 \times \left( \left\dfrac{17}{1} \right) = 17^3$

$\dfrac{F_m}{F_p} = \left( \left\dfrac{1}{17} \right)^3$ = (1/17)^3 ≈ 0.0002

The ratio of the drag coefficients $\dfrac{F_m}{F_p}$ ≈ 0.0002.

5 0

3 years ago

At a grocery store you can buy a whole chicken the weights 4 pounds for $3.88 you can also buy a package of chicken drumsticks t

lilavasa [31]

The better buy is 4lbs for $3.88
3.88/4=.97
3.06/3=1.02

4 0

3 years ago

You roll fair6-sided die what is P(roll a 2)?

creativ13 [48]

Answer:

1/6

Step-by-step explanation:

It is a 6 sided die, so you have 6 possibilities, so that is going to be you denominator.

There is only one number 2 on the die, so you have 1 as your numerator.

5 0

3 years ago

Read 2 more answers

An estimator is preparing a bid for a home remodeling project. She has determined that the new garage needs 324 feet of 2 × 10

Fudgin [204]

Find area of lumber 2 x 10 = 20
garage needs 324 feet, rec room needs 430, bonus room needs 283
324 + 430 + 283 = 1037
1037/20= 51.85 feet of lumber

hope this helps

5 0

3 years ago

Read 2 more answers

Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)

WARRIOR [948]

<span>hypothesis :-
if x=30, then 3/4x+5≠20
let Q:- x=30 P:- 3/4x+5≠20
we need to prove if Q then P (Q →P)

proof :-
lets assume 34x+5=20 is true
now x=30
so
3/4(30)+5=27.5 ≠20
which is a contradiction

proved ^</span>

8 0

3 years ago