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Leokris [45]
3 years ago
6

How many sequences of length 5 can be made when each component of the sequence can take 3 different values?

Mathematics
1 answer:
kozerog [31]3 years ago
4 0
Each position in the sequence has 3 choices, and there are 5 positions, so we multiply 3 by itself 5 times:

3^5=243
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Find the measures of two suplametery angles if their measures are in the givin ratio 2:3
geniusboy [140]

Answer:

Let the two supplementary angles be

we know sum of two supplementary angles is 180

2x + 3x = 180

5x = 180

x = 180/5

x = 36

2*36 = 72

3*36 = 108

Therefore the two supplementary angles are 72 and 108

8 0
3 years ago
Read 2 more answers
Evaluate.<br> 3^2 + 12 ÷ (6 - 3) x 8
valentinak56 [21]

Answer:

38 is your answer :)

Step-by-step explanation:

So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*

3^2+12/ (6-3) x 8

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3^2+12/(3)*8

3^2+4*8

6+4*8 =32 and 32+6 = 38

7 0
2 years ago
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Please tell me the answer of this question as soon as possible.
gayaneshka [121]

Answer:

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7 0
3 years ago
A rental car company charges $22.15 per day to rent a car and $0.07 for every mile driven. Aubrey wants to rent a car, knowing t
Luda [366]

The number of days that Aubrey can drive to stay in her budget is 5 days.

<h3>Inequality signs and their meanings</h3>

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

<h3>Equation that represents the question</h3>

Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)

$130 ≤ ($22.15 x dd) + ($0.07 x 275)

<h3>Determination of the number of days that Aubrey can drive</h3>

130 ≤ ($22.15dd) + ($0.07 x 275)

130  ≤  $22.15dd + 19.25

130 - 19.25  ≤ $22.15dd

110.75  ≤ 22.15d

d  ≤ 110.75 / 22.15

d  ≤ 5

To learn more about inequality, please check: brainly.com/question/5031619

8 0
3 years ago
4. The distance covered by the cook in Triangle A equals _______________ eighteen-inch steps.
laiz [17]
We know that

<span>to convert feet to inches we must multiply by 12

</span>4. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*16*12=2880 in
then add, 960 + 2640 + 2880 = 6480 in

the answer asks for the distance in 18 in lengths 
so divide 6480 by 18 -------------> 6480/18=360 

the answer part N 4) is 360 eighteen-inch steps
<span>
5. The distance covered by the cook in Triangle B equals 
a) fridge and stove-----------> 5*16*12=960 in
b) fridge and sink-------------> 10*16*12=1920 in
c) sink and stove--------------> 15*16*12=2880 in
</span><span>then add, 960 + 1920 + 2880 = 5760 in
</span>
<span>the answer asks for the distance in 18 in lengths
so divide 5760 by 18 -------------> 5760/18=320 
</span><span>
the answer part N 5) is 320 </span>eighteen-inch steps

6. The distance covered by the cook in Triangle A equals 
a) fridge and stove-----------> 5*15*12=900 in
b) fridge and sink-------------> 10*22*12=2640 in
c) sink and stove--------------> 15*15*12=2700 in
then add, 900 + 2640 + 2700 = 6240 in

the answer asks for the distance in 18 in lengths 
so divide 6240 by 18 -------------> 6240/18=346.67------> 347

the answer part N 6) is 347 eighteen-inch steps<span>

</span>
3 0
3 years ago
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