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2 years ago

Find the term to term rules for 2,6,18,54,162

Mathematics

1 answer:

faltersainse [42]2 years ago

4 0

Answer:

a, ax3 =b, bx3= c , cx3=d, dx3=e

Step-by-step explanation:

2, 2×3=6, 6x3=18,18 x3 =54, 54x3= 162

Multiplication of three with previous number will give you next number in series.

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40% of the students in a class are girls and the number of boys is 24 find the total number of students and the number of girls

navik [9.2K]

Answer:

Girls = 16

Total students = 40

Step-by-step explanation:

40% of the students are girls, this means 60% of the students are boys.

To find the number of girls, setup a proportion using the percentages and actual number of students in the class. I am going to make the numerator the numbers that go with the girls and the denominator will be the numbers that go with the boys.

Also let's convert the percentages to decimals by moving the decimal two places left.

40% = 0.4 and 60% = 0.6

$\frac{.4}{.6} =\frac{g}{24} \\.6g=9.6\\\frac{.6g}{.6} =\frac{9.6}{.6} \\g=16$

Now let's find the total number of students by adding the number of girls to the number of boys.

16 + 24 = 40

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%20%7B%2018%20%5E%20%7B%20n%20%2B%201%20%7D%20%5Ctimes%203%20%5E%20%7B%201%20-%20n%20%7

Rufina [12.5K]

Answer:

$4 \times {3}^{n + 3}$

Step-by-step explanation:

$\frac{ {18}^{n + 1} \times {3}^{1 - n}}{ {2}^{n - 1} }$

$\frac{ {3}^{2n + 2} \times {2}^{n + 1} \times {3}^{1 - n} }{ {2}^{n - 1} }$

${3}^{2n + 2} \times {2}^{2} \times {3}^{1 - n}$

${3}^{2n + 2} \times 4 \times {3}^{1 - n}$

$= 4 \times {3}^{n + 3}$

8 0

3 years ago

Read 2 more answers

If Alex and Mpho have to share R20 in the ratio 2:3,how much will Mpho get?

CaHeK987 [17]

Answer:

Step-by-step explanation:

sum of ratio=2+3=5

Mpho gets=3/5×20=12

4 0

3 years ago

Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 i

Talja [164]

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

8 0

3 years ago

Question is in the picture

irakobra [83]

Answer:

49.4 (rounded to the nearest tenth)

Step-by-step explanation:

You need to use the Pythagorean theorem -> $a^{2} + b^{2} = c^{2}$ -> $c^{2}$ is the hypotenuse

$a^{2} + b^{2} = c^{2}$

$(7x + 7)^{2}$ + $5x$ = $c^{2}$

(7x $7)^{2}$ + (5x7) = $c^{2}$

$49^{2}$ + 35 = $c^{2}$

2436 = $c^{2}$

$\sqrt{2436}$ = c

c = 49.355850717

c = 49.4 (round to the nearest tenth)

hope this helps, sorry if it is not right

4 0

3 years ago