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2 years ago

13.20/5ft=x dollars/1 inch

Mathematics

1 answer:

matrenka [14]2 years ago

4 0

Answer:

2.64

Step-by-step explanation:

13.20 × 1 = 13.20
13.20 ÷ 5 = 2.64

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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

2 years ago

When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will

PtichkaEL [24]

Answer:

The correct answer is 9 m per $second^{2}$

Step-by-step explanation:

Force is defined by mass of an object times it's acceleration.

Let the mass of the object be m kilograms.

When a force of 30 N acts on a certain object the acceleration of the object is 5 m per $second^{2}$

∴ 30 = m × 5

⇒ m = 6.

If the force is changed to 54 N, let the acceleration of the object be x m per $second^{2}$ .

∴ 54 = m × x

⇒ x = $\frac{54}{6}$ = 9

Thus when the force is 54 N, the acceleration of the object is 9 m per $second^{2}$ .

6 0

3 years ago

Find the value of x, y and z

tangare [24]

Answer:

Step-by-step explanation:

8x = 9x - 7

-x = -7

x = 7

9(7)-7= 63-7=56

8(7)= 56

13y+7+56=180

13y+63=180

13y=117

y=9

13(9)+7= 117+7= 124

5y-11+56=90

5y+45=90

5y=45

y=9

5(9)-11+9(7)-7= z

45-11+63-7=z

34+56=z

90=z

7 0

2 years ago

You are selecting what of your left over Halloween candy you are going to eat. Now if you don't do Halloween, it is random candy

Liula [17]

The answer will be 1 out of 6 or 1/6

4 0

3 years ago

Help, I still cannot wrap my head around this

atroni [7]

Answer:

9 inches.

Step-by-step explanation:

Fun question! The length of a space diagonal for a cube is $\sqrt{3*sidelength^2}$

Thus, the first cube has a side diagonal of $\sqrt{3}$

The next cube would have a side diagonal of 3

The third cube would have a side diagonal of $3\sqrt{3}$

And the fourth cube would have a side diagonal of 9.

Since the fifth cube has a side length equal to the side diagonal of the fourth cube, it should be 9 inches.

7 0

3 years ago