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3 years ago

Which value of a would make the expression 5 1/3÷4/a equivalent to a whole number?

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer:

Any number that is multiples of 33,6,9,12

Step-by-step explanation:

Have a great day!!

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A box is filled with 10 brown cards , 4 yellow cards, and 4 red cards. A card is chosen at random from the box. What is the prob

Setler [38]

The answer is 2/9

explanation:
10+4+4= 18 cards in the box
and there are 4 red cards in the box, so it’s 4/18. u divide both sides by 2, which gives u the simplest version, 2/9.

5 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

I need help solving this

Darya [45]

4a+6b is the answer you have to look at the variable so for a 4a-2a+2a and b there is just one variable so it’s 6

5 0

2 years ago

Read 2 more answers

How can I construct a truth table for ~(p ^ q)?

bekas [8.4K]

Attached below is a step by step process of arriving at the answer.

3 0

3 years ago

Which expression is equivalent to third- 32^3/5

lara [203]

Answer:

Step-by-step explanation:

(-32)^3/5 =((-32)^1/5)^3 = (-2)^3 = -8. QED

6 0

3 years ago