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Ilia_Sergeevich [38]
3 years ago
8

Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charely has 7 boxes packed and plans to pack

5 additional boxes each hour. The equation below represents when Teddy and Charely will have packed the same number of boxes, based on x number of hours.
23+3x=5x+7

After hour many hours will Charely have packed the same number of juice boxes as Teddy?
Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0
The equation is already set up for you. All you need to do is solve for x, the number of hours.

23 + 3x = 5x + 7 original equation
23 - 7 = 5x - 3x combine like terms by subtracting 7 and 3x from both sides
16 = 2x simplify
16/2 = x divide both sides by 2 to isolate x
8 = x solve for x
Therefore, the answer is 8 hrs.

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Miriam and Salina are twins and their sister Rohana is 2 years older than them. The total of their ages is 32years .Find their a
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Answer:

644

Step-by-step explanation:

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3 years ago
A geometric sequence is defined by the equation an = (3)3 − n.
Delvig [45]
PART A

The geometric sequence is defined by the equation

a_{n}=3^{3-n}

To find the first three terms, we put n=1,2,3

When n=1,

a_{1}=3^{3-1}

a_{1}=3^{2}

a_{1}=9
When n=2,

a_{2}=3^{3-2}
a_{2}=3^{1}

a_{2}=3

When n=3

a_{3}=3^{3-3}

a_{3}=3^{0}
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9,3,1

PART B

The common ratio can be found using any two consecutive terms.

The common ratio is given by,
r= \frac{a_{2}}{a_{1}}
r = \frac{3}{9}

r = \frac{1}{3}

PART C

To find
a_{11}

We substitute n=11 into the equation of the geometric sequence.

a_{11} = {3}^{3 - 11}

This implies that,

a_{11} = {3}^{ - 8}

a_{11} = \frac{1}{ {3}^{8} }

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4 0
3 years ago
-1/3-(-3/5)= <br> reduce to the simplest form.
Ne4ueva [31]

Answer:

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Step-by-step explanation:

-1/3 -(-3/5)

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6 0
3 years ago
Read 2 more answers
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4 0
3 years ago
The length of the top of a table is 55 m greater than the width. the area is 8484 msquared2. find the dimensions of the table.
Oksana_A [137]
You have to do similar calculations you use in algebra. This is how I get the answer;
First I draw out the algebraic formula 55m • X = 8,484 m (meters) 2 (squared). Then I switch the sign from multiplication to division and switch put numbers 55 and 8,484 in different places and change it to your new formula 8,484/(divided) 55 =X. Then you do the math of 8,484 divided by 55 and get an answer of 154.254545. But you can just leave it at the first 2 digits on the right side of the decimal by rounding 4 down and leaving it at an answer of ~~(<This is your answer after being put together with these tips (you always right your final answer using your formula and plugging in the number that we got from dividing 8,484 by 55;

Final answer ( if they wanted it included in a formula); 8,484/55=X let X=~~154.25

Final answer (if they wanted it as one final number as you answer); ~~154.25

*Hope these tips helped you with this mathematical problem :)
4 0
3 years ago
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