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asambeis [7]
3 years ago
13

4 of 23

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

$411.30 in a month with 30 days

Step-by-step explanation:

$4.57 times 3= $13.71 per day

Assuming there are 30 days in a month, $13.71 times 30= approximately $411 monthly, or more specifically $411.30 in a month with 30 days.

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.​
pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - \frac{b}{a} = \frac{5}{2}

product of roots = \frac{c}{a} = - 3, then

sum of new roots = \frac{1}{\alpha } + \frac{1}{\beta }

= \frac{\beta+\alpha  }{\alpha \beta }

= \frac{\frac{5}{2} }{-3} = - \frac{5}{6}

product of new roots = \frac{1}{\alpha } × \frac{1}{\beta }

= \frac{1}{\alpha\beta  } = - \frac{1}{3}

Hence the required equation is

x² + \frac{5}{6} x - \frac{1}{3} = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

                           

8 0
3 years ago
Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
Tpy6a [65]

Answer:

22km= 2 hours and 45 mins

To find speed: Distance/Time

22/2.75 = 8

Your answer 8km/h

Step-by-step explanation: When finding speed, the formula is always distance divided by time. 45 minutes of 60 minutes is 3/4 of an hour, and 3/4 is 0.75 is decimal. So you add the 2 + .75, and you'll get 2.75. After you convert the time, you begin dividing and you'll get your answer!

4 0
3 years ago
Convertir 0.16 en fracción
MrRa [10]

Answer:

4/25 en forma de fracción

Step-by-step explanation:

7 0
3 years ago
Which expression can be used to find 32% of 130?
Gemiola [76]

Answer:

b. 0.32 • 130

Step-by-step explanation:

Change the percent to decimal form

32% = .32

.32 * 130

6 0
3 years ago
A gift box is the shape of a rectangular prism. The box has a length of 24 centimeters, a width of 10 centimeters, and a height
Kamila [148]
Volume (V) is (=) Length (L) times (x) Width (W) times (x) Height (H) so V = L x V x H. 

Add the variables to the equation.
V = 24 x 10 x 13

Solve
V = 3120

So the volume of the gift box is 3120 cm
6 0
3 years ago
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