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ryzh [129]
4 years ago
8

The weight of an elephant is 100 times the weight of a cat. If the elephant weighs 14,000 pounds, how many pounds does the cat w

eigh? How did you find the answer?​
Mathematics
2 answers:
klasskru [66]4 years ago
4 0

Answer:

14 lb

Step-by-step explanation:

10^3 = 1000

14,000 lb/1000 = 14 lb

Since the weight of the elephant is 1000 times the weight of the cat, then the weight of the cat is one-thousandth of the weight of the elephant. To find one-thousandth of a number, divide the number by 1000. 14,000 lb divided by 1000 is 14 lb.

P.S. I feel much better for the cat.

Illusion [34]4 years ago
4 0
The cat weighs 140 pounds as 14,000 (the elephant) divided by 100 as it is 100 times the amount is 140.
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mariarad [96]

Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

8 0
2 years ago
Solve for x: 4 over x plus 4 over quantity x squared minus 9 equals 3 over quantity x minus 3. (2 points) Select one: a. x = -4
Kay [80]

Answer:

<h2>c. x = -4 or x = 9</h2>

Step-by-step explanation:

\dfrac{4}{x}+\dfrac{4}{x^2-9}=\dfrac{3}{x-3}

Domain:

x\neq0\ \wedge\ x^2-9\neq0\ \wedge\ x-3\neq0\\\\x\neq0\ \wedge\ x\neq\pm3

solution:

\dfrac{4}{x}+\dfrac{4}{x^2-3^2}=\dfrac{3}{x-3}

use <em>(a - b)(a + b) = a² - b²</em>

\dfrac{4}{x}+\dfrac{4}{(x-3)(x+3)}=\dfrac{3}{x-3}

multiply both sides by (x - 3) ≠ 0

\dfrac{4(x-3)}{x}+\dfrac{4(x-3)}{(x-3)(x+3)}=\dfrac{3(x-3)}{x-3}

cancel (x - 3)

\dfrac{4(x-3)}{x}+\dfrac{4}{x+3}=3

subtract \frac{4(x-3)}{x} from both sides

\dfrac{4}{x+3}=3-\dfrac{4(x-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x}{x}-\dfrac{(4)(x)+(4)(-3)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-\bigg(4x-12\bigg)}{x}\\\\\dfrac{4}{x+3}=\dfrac{3x-4x-(-12)}{x}\\\\\dfrac{4}{x+3}=\dfrac{-x+12}{x}

cross multiply

(4)(x)=(x+3)(-x+12)

use FOIL

4x=(x)(-x)+(x)(12)+(3)(-x)+(3)(12)\\\\4x=-x^2+12x-3x+36

subtract 4x from both sides

0=-x^2+12x-3x+36-4x

combine like terms

0=-x^2+(12x-3x-4x)+36\\\\0=-x^2+5x+36

change the signs

x^2-5x-36=0\\\\x^2-9x+4x-36=0\\\\x(x-9)+4(x-9)=0\\\\(x-9)(x+4)=0

The product is 0 if one of the factors is 0. Therefore:

x-9=0\ \vee\ x+4=0

x-9=0            <em>add 9 to both sides</em>

x=9\in D

x+4=0          <em>subtract 4 from both sides</em>

x=-4\in D

7 0
3 years ago
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
kati45 [8]

Question:

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?

Answer:

1/72

Step-by-step explanation:

<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is  1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is  1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>


<em>I had this same question on my test!</em>


<em>Hope this helped! Good Luck! ~LILZ</em>


3 0
4 years ago
J u l i a n has partially filled the p r i s m below with 16 unit cubes. How many more unit cubes will he need to completely fil
Wittaler [7]

add  it

Step-by-step explanation:

11+20+25+36

8 0
3 years ago
What number is 100 times as great as 0.3
Nataly [62]
30 because 0.3 * 100 = 30
8 0
3 years ago
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