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katovenus [111]
3 years ago
12

grant is thinking of two numbers . he says that one of the numbers is 2 times the other number and the sum of the number is 39 .

what are the numbers ?
Mathematics
1 answer:
iris [78.8K]3 years ago
3 0
I divided by 3 then multiplied by 2.
13 and 26 = 39. So the numbers are 13 & 26.
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An investor bought 600 shares of stock, some at $5.00 per share and some at $4.75 per share. If the total cost was $2912.50, how
yuradex [85]
Let x= $4.75 shares 600-x- $5.00 shares 4.75x + 5 (600-x)= 2912.50 distribute and remove ( ) 4.75x +3000-5x= 2912.50 combine like terms -,25x + 3000= 2912.50 subtract 3000 from both sides -.25x= -87.5 divide by -.25 x=350 shares @ $4.75 600-350= 250 shares @ $5,00 hope this helps
3 0
3 years ago
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
Please answersssss 15 pointssss
Anettt [7]
The answer to this problem is B
7 0
3 years ago
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Kevin buys a car. His car payment is $248 per month.After 55 payments how much was Kevin paying?
NNADVOKAT [17]

Answer:

hes paid 13,640

Step-by-step explanation:

5 0
3 years ago
Complete the equation of the line through (2, -2) and (4,1)
Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

3 0
3 years ago
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