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3 years ago

Which expression is equivalent to 4/9

Mathematics

1 answer:

adell [148]3 years ago

5 0

Answer:

Step-by-step explanation: 4/9=0.4444444444

A)=2.25

B)=0.027777778

C)=-4/9=−0.444444444

D)=52/9=5.777777778

So its C

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Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by $\sqrt{x}$

$b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x} }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\$

Now, find a +b

$a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}$

Combine like terms

$= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}$

Now find (a + b)²

(a +b)² = $(\frac{2\sqrt{x} }{x})^{2}$

$= \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}$

Hint: $\sqrt{x} *\sqrt{x} =\sqrt{x*x}=x$

5 0

3 years ago

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon lef

Nastasia [14]

Answer:

Orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

Step-by-step explanation:

Given:

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon left.

Now, to find the orange ribbon Zoe use.

Let the orange ribbon Zoe use be $x.$

Total orange ribbon Zoe had = $3\frac{1}{8} = \frac{25}{8} \ feet.$

Ribbon Zoe had left = $1\frac{3}{8} =\frac{11}{8} \ feet.$

Now, to get the orange ribbon Zoe use:

$\frac{25}{8} -x=\frac{11}{8}$

Subtracting both sides by $\frac{11}{8}$ we get:

$\frac{25}{8} -x-\frac{11}{8} =0$

Adding both sides by $x$ we get:

$\frac{25}{8} -\frac{11}{8} =x$

$\frac{25-11}{8} =x$

$\frac{14}{8}=x$

$x=\frac{14}{8}$

$x=\frac{7}{4}$

$x=1\frac{3}{4}\ feet.$

Therefore, orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

8 0

3 years ago

Chase makes 2 gallons of soup for a dinner party. He serves 15 cups of soup to his guests. How many cups of soup will he have le

Vaselesa [24]

1 gallon is equal to 16 cups.

Since Chase made 2 gallons of soup, multiply 16 x 2.
Chase made 32 cups of soup.

If he served 15 cups of soup to his guests, he will have 17 cups of soup left over, because 32 - 15 = 17.

3 0

3 years ago

Read 2 more answers

Selena orders CDs for a music shop. She just ordered 8 CDs from each of 11 pop artists and 5 CDs from each of 8 jazz artists. Ho

Ipatiy [6.2K]

(8x11)+(5x8)=128
Selena order 128 CD'S all together.

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3 years ago

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You can fill a 15-gallon tank of gas for $35.25 or buy gas for $2.55/gal. Which a better deal and why?

Lubov Fominskaja [6]

Answer:

The 15-gallon tank of gas for $35.25 is a better deal

Step-by-step explanation:

First we need to find the unit rate for the 15 gallon tank of gas for $35.25 so we divide 35.25 by 15 which equals 2.35. $2.35 is cheaper than the $2.55/gal which makes the 15-gallon tank of gas for $35.25 a better deal.

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3 years ago