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2 years ago

15

the ratio of dogs to cat at a shelter is 42 to 26. The total number of dogs and cats at your local shelter is 272. How many dogs

and cats are at the shelter?

1 answer:

frozen [14]2 years ago

6 0

There are 168 dogs and 104 cats

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3 years ago

Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.

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Answer:

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Step-by-step explanation:

SHOWN BELOW

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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

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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 $b=-3$ .

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The answer for this question would be 21x (when simplified).

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