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navik [9.2K]
3 years ago
13

Will someone please help me here

Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

\bf a) \\\\\\ \begin{array}{ccll} miles&minutes\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 11&74\\ 1&x \end{array}\implies \cfrac{11}{1}=\cfrac{74}{x}\implies x=\cfrac{1\cdot 74}{11} \\\\\\ b) \\\\\\ \begin{array}{ccll} lbs&\$\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 20&8\\ 1&x \end{array}\implies \cfrac{20}{1}=\cfrac{8}{x}\implies x=\cfrac{1\cdot 8}{20}

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May wants to buy a $50,000,000 car. For every week, she pays 5% until she pays off the price. How many weeks would she need unti
Oksi-84 [34.3K]
It would take May 20 weeks to pay off the car.
5 0
3 years ago
Vector u has a magnitude of 5sq rt 3 feet and is directed due west. Vector v has a magnitude
Vikki [24]

The magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively

The formula for calculating the resultant vector is expressed as:

R^2 = u^2 + v^2\\R =\sqrt{u^2+v^2}

Given the following distances:

u = -5√3 feet (west direction)

v = 5 feet

Substitute the given values into the formula above;

R=\sqrt{(5\sqrt{3} )^2+5^2} \\R=\sqrt{(25 \times 3)+25}\\R=\sqrt{75 + 25}\\R=\sqrt{100}\\R = 10 feet

The magnitude of the resultant vector is 10feet

Get the direction:

\theta = tan^{-1}\frac{y}{x} \\\theta = tan^{-1}\frac{5}{-5\sqrt{3} }\\\theta =tan^{-1}\frac{-1}{\sqrt{3} }\\\theta = -60^0

Since tan is negative in the second quadrant, hence;

\theta = 180 - 60\\\theta = 120^0

Hence the magnitude and the direction angle for  the resultant vector are 10N and 120degrees respectively.

Learn more here: brainly.com/question/5177683

7 0
3 years ago
Get this correct i will give u brainliest.
castortr0y [4]

Answer:

x = - 2, y = - 8

Step-by-step explanation:

Given the 2 equations

13x - 6y = 22 → (1)

x = y + 6 → (2)

Substitute x = y + 6 into (1)

13(y + 6) - 6y = 22 ← distribute and simplify left side

13y + 78 - 6y = 22

7y + 78 = 22 ( subtract 78 from both sides )

7y = - 56 ( divide both sides by 7 )

y = - 8

Substitute y = - 8 into (2) and evaluate for x

x = - 8 + 6 = - 2

Thus x = - 2, y = - 8

4 0
3 years ago
500 quarters, 25 dimes, and 25 pennies equal how many dollar bills?
Taya2010 [7]

Answer:

$127.75

500 quarters equals $125.00 (500 x 0.25 = 125)

25 dimes equals $2.50 (25 x 0.10 = 2.50)

25 pennies equals $0.25 (25 x 0.01 = 0.25)

5 0
3 years ago
9x + 8y = -1<br> -7x – 8y = 15
stiks02 [169]

Answer:

{y = 15/8 - (9 x)/8, y = -(7 x)/8 - 2}

{9 x + 8 y = 15, 7 x + 8 (y + 2) = 0}

Step-by-step explanation:

3 0
3 years ago
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