2 years ago

40 to a ratio of 2:3

Mathematics

1 answer:

Anarel [89]2 years ago

7 0

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

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A tree measured 40 1/2 feet tall. Over the next 7 1/2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was th

Elenna [48]

The average yearly growth rate of the height of the tree was 2.2 feet per year during the 7 1/2 years.

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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

What is 47 - -3 ? i haven't found a answer to this - please hurry to answer this , it's a question on my quiz

Paul [167]

Answer:

Here you go, hope this helps

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Solve the inequality.

shusha [124]

Answer:

(3/2)x - 2 < 7

(3/2)x < 9

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answer is b

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3 years ago

If x equals 7, then find the matching value for y.<br> -2x-2y=-2

mihalych1998 [28]

Y = -6.
-2(7)-2y=-2

-14-2y=-2

you need to move -14 to the other side by canceling out -14 with +14, and add +14 to -2, giving you -2y=12. -2/12=-6

7 0

3 years ago