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3 years ago

Find a number such that one-half of the number is 9 less than two-thirds of the number

1 answer:

3 0

Let's say, the number is "a"
thus $\bf \cfrac{1}{2}a=\cfrac{2}{3}a-9\implies \cfrac{a}{2}=\cfrac{2a}{3}-9\implies \cfrac{a}{2}=\cfrac{2a-27}{3}$

cross-multiply and solve for "a"

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☆pls help no one has helped me and I'm so confused!

motikmotik

Answer:

Step-by-step explanation:

a). $\frac{5\pm\sqrt{-4}}{3}$ = $\frac{5}{3}\pm \frac{\sqrt{-4}}{3}$

= $\frac{5}{3}\pm\frac{2\sqrt{(-1)} }{3}$

= $\frac{5}{3}\pm\frac{2i}{3}$ [Since, i = $\sqrt{(-1)}$ ]

b). $\frac{10\pm\sqrt{-16}}{2}$ = $\frac{10}{2}\pm \frac{\sqrt{-16}}{2}$

= $5\pm \frac{4\sqrt{-1}}{2}$

= 5 ± 2i [Since, i = $\sqrt{(-1)}$ ]

c). $\frac{-3\pm \sqrt{-144}}{6}$ = $-\frac{3}{6}\pm \frac{\sqrt{-144}}{6}$

= $-\frac{3}{6}\pm \frac{12\sqrt{-1}}{6}$

= $-\frac{1}{2}\pm 2\sqrt{-1}$

= $-\frac{1}{2}\pm 2i$ [Since, i = $\sqrt{(-1)}$ ]

4 0

2 years ago

Identify the length of line BA. A) 12.6 B) 5.6 C) 22.4 D) 8.8

Zielflug [23.3K]

Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

3 0

3 years ago

How to show your work for 4÷29.5

S_A_V [24]

The answer is approximately 0.14

5 0

2 years ago

How many solutions does this equation have 3(x+1)-5=3x-2

4vir4ik [10]

Answer:

Infinite.

Step-by-step explanation:

3(x+1)-5=3x-2

3x+3-5=3x-2

3x-2=3x-2

True for any number.

6 0

2 years ago

Read 2 more answers

How much lemonade will each person get if 4 people share 1/2 gallon equally?

Charra [1.4K]

I’m pretty sure the answer would be 8 if u cut 4 in half 4 times

3 0

2 years ago