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2 years ago

50% of the 60 shoe options at Baby Steps, a shoe store, are sneakers. How many of the

Mathematics

1 answer:

mote1985 [20]2 years ago

4 0

Answer:

Step-by-step explanation:

Formulate:

50%×60

0.5×60

= 30

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

5 0

3 years ago

Anyone? Pleasee help

xeze [42]

Answer:

Angle 1 = 128

Angle 2 = 52

Angle 3 = 68

Angle 4 = 60

Angle 5 = 124

Step-by-step explanation:

Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.

I hope this helps!

8 0

2 years ago

An expression is shown.<br> 95 – 3^4<br> What is the value of the expression?

Gwar [14]

Answer: 14

Step-by-step explanation:

$95-3^4$

$=95-81$

$=14$

7 0

2 years ago

Express 24 inches to 6 feet in simplest form.

Misha Larkins [42]

Answer:

Step-by-step explanation:

3 0

2 years ago

Tyrone saved 24$ of the 60 that he earned mowing lawns .what percent of his earnings did tyrone save

mezya [45]

If 24 of the 60 were saved then the percent saved is

(24/60) x 100

Let's imagine for a second that all 60 was saved, then 100% of the money would be saved. Which makes sense, because

(60/60) x 100 = 100%

So the amount saved dived by the amount earned all times 100 is the percent saved.

6 0

3 years ago