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Solnce55 [7]
2 years ago
12

Mr Tan is 53 years old and his granddaughter is 5 years old in how many years will he be 4 times as old as his granddaughter

Mathematics
1 answer:
quester [9]2 years ago
8 0
It will me in 20 years that he'll be 4x 
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ABCD is a parallelogram. If AB= 3x -7 and CD = 5x - 19, find x.
kakasveta [241]

Answer:

x=6

Step-by-step explanation:

3x-7=5x-19

12=2x

x=6

8 0
2 years ago
Five and three sixths minus two and one third
Daniel [21]

Answer:

19/6

Step-by-step explanation:

5 3/6 - 2 1/3 = 19/6

8 0
3 years ago
given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat
Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

r=\frac{a_2}{a_1} = \frac{15}{5} = 3

The explicit formula for geometric sequence is:

a_n = a_1.r^{n-1}

Putting the value of r and a_1

a_n = 5.(3)^{n-1}

Putting n=3 in the explicit formula

a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45

Putting n=10 for tenth term

a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

7 0
3 years ago
In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer?
GarryVolchara [31]

Answer:

243

Step-by-step explanation:

If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.

If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.  

Similarly, when there are 5 questions that have three choices each, then there will be 3⁵ i.e. 243 ways of answering options. (Answer)

3 0
2 years ago
Simplify <br>28y=12x+84<br>I don't know this
irina1246 [14]
Divide everything by 4 getting:
7y=3x+21
then get all of the variables on one side by subtracting 3x:
7y-3x=21
7 0
3 years ago
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