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3 years ago

Use the described technique to solve the equation describing the following problem:

1 answer:

7 0

Answer:

Taxi Driver: 9+2x=

Uber Driver: 5x=

So we just gotta keep multiplying until we find where they’re equal. So let’s assume that when we can get the Taxi Drivers price to have a 5 in the tens place or a 0 in the tens place. By the looks of it, they will meet at 15$ for that to happen let x=3, which would make the taxi driver’s equation 9+2(3), 9+6=15$, and the uber driver’s equation would be 5(3)=15$. X=3 or X=distance in kilometers.

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What is the maximum number of children among whom 32 red marbles, 144 blue marbles and 176 green marbles can be divided equally

Leto [7]

Answer:

Maximum number of children among whom 32 red marbles, 144 blue marbles and 176 green marbles can be divided equally is 16.

Step-by-step explanation:

Finding HCF of 32, 144, 176

32 = 2 * 2 * 2 * 2 * 2

144 = 2 * 2 * 3 * 2 * 2 * 3

176 = 2 * 2 * 2 * 11 * 2

HCF = 2 * 2 * 2 * 2 = 16

6 0

2 years ago

About how many meters is a 40-yard race

Varvara68 [4.7K]

Answer:

36.576 meters or 36.58 meters

Step-by-step explanation:

5 0

4 years ago

The angle of elevation of a flagpole from the foot of a building is 65⁰, what is the angle of depression of the building from th

Vadim26 [7]

Answer:

115°

Step-by-step explanation:

The angles of elevation and depression are supplementary, thus

angle of depression = 180° - 65° = 115°

6 0

3 years ago

Last year Jandik Corp. had $250,000 of assets (which is equal to its total invested capital), $18,750 of net income, and a debt-

Gemiola [76]

Answer:

change in capital to Improvement in ROE = 2.518%

Step-by-step explanation:

To calculate the improvement in ROE, calculate ROE for current capital structure by using DuPont analysis.

$ROE = Return\ on\ Assets \times Equity\ Multiplier$

where

Return on Assets = Net Income / Total Assets

$= \frac{18,750}{250,000} = 0.075$

Equity Multiplier = Total Assets / Equity

Equity = Total assets x (1 – debt to capital ratio)

= $250,000 x (1-37%)

= $157,500

Equity Multiplier = Total Assets / Equity

$= \frac{250,000}{157500} = 1.58$

ROE =0.075 x 1.58 = 0.11904761 or 11.905%

ROE after change in capital structure:

Equity = Total assets x (1 – debt to capital ratio)

= $250,000 x (1-48%) = $130,000

ROE = (18,750/250,000) x (250,000/130,000)

= 0.1442307692307692 or 14.423%

change in capital to Improvement in ROE = 14.423% - 11.905% = 2.518%

6 0

4 years ago

Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

3 years ago