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Keith_Richards [23]
3 years ago
15

A grocery store charges $1.49 per pound of bananas. Use a unit rate to find the price of 3 pounds of bananas.

Mathematics
1 answer:
Anna007 [38]3 years ago
7 0

Answer:

$4.47

Step-by-step explanation:

Price if 1 pound of bananas=$1.49

Price if 3 pounds of bananas=3x$1.49

=$4.47

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A sequence can be generated by using an=4a(n-1)
WITCHER [35]
This problem is half understanding the question and half just plugging in numbers.

Understanding the Question:
So its saying that n = whole number bigger than one, making n = 2, 3, 4, 5, etc.

Now try plugging any number n into the a_n = 4a_{n-1} equation. Let's use 2 to make it simple. If you plug in 2, you get:
a_2 = 4a_{2-1}\\
a_2 = 4a_1
Remember that the subscripts (the small numbers in the corner) are simply the term number. a_1 is term 1, a_2 is term 2, etc. The equation is saying that "term 2 = 4 times term 1."

If you keep plugging in random numbers for n, you'll see that the equation basically says, "a term = 4 times the term right before it." That makes it easy to plug and chug to get our answer.

Plugging and Chugging
Now we understand the question is asking for the first 4 terms, and each term is 4 times the last term. You're told that term 1, a_1 = 6. That makes the next four terms:

Term 2
a_2 = 4a_{2-1}\\
 a_2 = 4a_1\\
 a_2 = 4(6)\\
 a_2 = 24

Term 3
a_3 = 4a_{3-1}\\ a_3 = 4a_2\\ a_3 = 4(24)\\ a_3 = 96

Term 4
a_4 = 4a_{4-1}\\ a_4 = 4a_3\\ a_4 = 4(96)\\ a_4 = 384

Your first 4 terms are 4, 24, 96, and 384.

--------

Answer: A) F

6 0
3 years ago
A scientist has two solutions, which she has labeled Solutuion A and Solution B. Each contains salt. She knows that Solutuion A
ratelena [41]

a = amount (in oz) of solution A

b = amount of solution B

The scientist wants a mixture of 110 oz, so

a + b = 110

Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So

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Solve for a and b:

b = 110 - a

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0.65 a + 99 - 0.9 a = 82.5

0.25 a = 16.5

a = 66  ==>  b = 44

5 0
3 years ago
Solve the system by elimination<br><br> 2 + 5 = −24<br> 3 − 5 = 14
belka [17]

Answer:

7=24

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Step-by-step explanation:

(2+5)= 7=24

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This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5

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serg [7]
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3 years ago
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