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Tamiku [17]
4 years ago
5

James works in a flower shop. he will put 36 flowers in vases for a wedding. he must put the same amount of tulips in each vase.

the number of tulips in a vase must be greater than 1 and less than 10. how many tulips could be in each vase.
Mathematics
1 answer:
DerKrebs [107]4 years ago
5 0
- If he has 18 vases, he can put 2 tulips in each
- If he has 12 vases, he can put 3 tulips in each 
- If he has 9 vases, he can put 4 tulips in each
- If he has 6 vases, he can put 6 tulips in each 
- If he has 4 vases, he can put 9 tulips in each 
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Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.
Roman55 [17]

Answer:

The 6th term will be:

a_6=\frac{729}{16}

Step-by-step explanation:

Given

  • a₁ = 6
  • common ratio r = 3/2

To determine

a₆ = ?

A geometric sequence has a constant ratio r and is defined by

a_n=a_1\cdot r^{n-1}

substituting a₁ = 6, r = 3/2

a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}

<em>Determining 6th term</em>

substituting n = 6 in the given equation

a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}

a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}

    =6\cdot \frac{3^5}{2^5}

    =\frac{3^5\cdot \:6}{2^5}

    =\frac{3^5\cdot \:2\cdot \:3}{2^5}

Cancel the common term

     =\frac{3^6}{2^4}

     =\frac{729}{16}

Therefore, the 6th term will be:

a_6=\frac{729}{16}

7 0
3 years ago
Please help ill give brainiest answer
trapecia [35]

Answer:

1: AAS, RQC 2: ASA, SRP

Step-by-step explanation:

(1) We are shown that two angles and one side are congruent in the order of AAS. Make sure you write the letters in terms of the corresponding angles. The angles and sides are congruent because the problem labels it for us. For example, B,A,C=R,Q,S. Answers: AAS, RQC.

(2) We are shown that two angles and one side are congruent in the order of ASA. Make sure you write the letters in terms of the corresponding angles again. For example, P,Q,R=P,S,R. The angles are congruent because the problem labels it for us. Side PR is congruent to side PR by reflexive property. Answers: ASA, SRP.

I hope this helped :) Good luck

4 0
3 years ago
ABC is a straight angle. <br> Find measure of ABX and measure of CBX
Sergio039 [100]
14x + 70 + 20x + 8 = 180
34x + 78 = 180
34x = 102
x = 3
ABX = 14(3) + 70 = 112
CBX = 180 - 112 = 68
5 0
3 years ago
Which equation could be used to solve the problem?
Svetradugi [14.3K]
The answer is d :)

All you have to do is take the distance she drove and divide it by how many weeks it took.
4 0
3 years ago
Triangle E F G. Angle E is 29 degrees, F is 88 degrees, G is 63 degrees. Triangle K L J. Angle K is 63 degrees, L is 29 degrees,
Greeley [361]

Answer:

9090

Step-by-step explanation:

9090

7 0
3 years ago
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