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Vladimir79 [104]

2 years ago

8

The oldest elephant at a zoo eats 162 pounds of hay per day. This elephant eats 3 times as much hay as the youngest elephant. Ho

w much hay does the youngest elephant eat per day?
A 54 pounds

B 59 pounds

C 53 pounds

D 64 pounds

1 answer:

AleksAgata [21]2 years ago

4 0

Answer:

A.54

Step-by-step explanation:

because 162 divided by 3 equal 54.3

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Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

so

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

<em>Find the solutions of the original equation</em>

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

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Yuri [45]

9/12 in simplest form would be 3/4 because you divide bothe 9 and 12 dived by three because what you do to the denominator you do to the nominator so after you divide 9/12 by 3 you would have 3/4 which 3/4 is 9/12 in simplest form

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Answer:

25 is the correct answer because the amount of white socks out all of the socks is 2/8 which is equal to 1/4. 1/4 is 25%.

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Changes made to your input should not affect the solution:

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Which prime number do the prime factorization of 130 and 165 have in common?

Marizza181 [45]

Answer:

They both have the #5 and they both have 3 #'s that are prime?

Step-by-step explanation:

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