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WARRIOR [948]
4 years ago
15

Ariane feeds her kitten kkk grams of food 222 times in the morning and 222 times in the evening. She feeds her dog ddd grams of

food 111 time in the morning and 111 time in the evening.
Which expressions can we use to describe how many grams of food Ariane feeds her animals per day?
Mathematics
1 answer:
ANTONII [103]4 years ago
6 0

Answer: The required expression is,

4k + 2d

Step-by-step explanation:

Given,

She feeds her kitten k gram of food,

She feeds 2 times in the morning,

⇒ Food fed in morning = 2k,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = 2k,

So, the total food she gives to her kitten = 2k + 2k = 4k,

Now, She feeds her dog d gram of food,

She feeds 1 times in the morning,

⇒ Food fed in morning = d,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = d,

So, the total food she gives to her dog = d + d = 2d,

Hence, the total food she feeds to her animal in a day = 4 k + 2 d

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Simplify (write without the absolute value sign)<br><br> |x+3|, if x&gt;2
kodGreya [7K]

Answer:

Step-by-step explanation

Note that if x>2, then x+3>3+2=5. Then x+3>0. Recall that the absolute value function is defined as

|x|=x \text{ if } x\geq 0

|x|=-x \text{ if } x< 0

Since x+3>0, we have that |x+3|=x+3

6 0
3 years ago
How are 3 to 12 and 1 to 4 Equivalent
Gelneren [198K]

Answer:

3 to 12 and 1 to 4:

Step-by-step explanation:

3 to 12 would be = 3:12

1 to 4 would be = 1:4

Since ratios can also be fractions, think of it this way. 3:12 as 3/12, and 1:4 as 1/4.

Now, if you simplify, you will see they are equivalent to each other,

3/12 = 1/4

8 0
3 years ago
Find the 64th term of the arithmetic sequence -4, -21, -38, ...−4,−21,−38,
lisov135 [29]

a_{n} = a_{1} + d(n - 1)  ; a₁ is the first term, d is the difference between terms, and n is the term

-4, -21, -38, ...   ⇒   a₁ = -4, d = -17

a_{n} = -4 - 17(n - 1)

   = -4 - 17n + 17

   = 13 - 17n

a_{64} = 13 - 17(64)

    = 13 - 1088

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Answer: 1075


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3 years ago
What are the solutions to the quadratic equation 3(x - 4)2 = 75?
Lera25 [3.4K]

3(x-4)²=75 //:3

(x-4)²=25

(x-4)²-25=0

x²+x+9x-9=0

x(x+1)-9(x+1)=0

(x+1)(x-9)=0

x+1=0    x-9=0

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<u>x=-1 and x=9</u>

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3 years ago
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nataly862011 [7]

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

8 0
3 years ago
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