MATHEMATICS HIGH SCHOOL

How do I write 4(3x+2)-9 in written form?

Answers

Answer 1

Answer:

Step-by-step explanation:

4 times 3x+2 subtracted by9

hope it helps

stay safe healthy and happy.

Answer 2

Answer:

Answer:

12x-1

Step-by-step explanation:

First, you would have to distribute. Would mean to multiply the 4 with every number in the parenthesis.

4(3x+2)-9

12x+8-9

Now combine like terms

8-9 = -1

The answer is 12x-1

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Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?Bly 13 x

Answers

Answer:

$60

Step-by-step explanation:

Method 1

We want to know how much money Roman originally has considering if he spends $15, then he has $(1)/(4)$ of the original amount left. So,

We know that $(1)/(4)$ = 15 so $(2)/(4)$ = 30 and double that will get 60 so 60 is the original amount

Method 2

Lets call the original amount 'x'

If he spends $15 he has $(1)/(4)$ of the original amount so,

$(1)/(4)$ x = 15

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided 15 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$(1)/(4)$ x = 15

→ Multiply both sides by 4 to isolate x

x = 60

So $60 was the original amount

What is the answer for this?

Answers

Answer:

The general formula for nth term of given sequence is:

$G_n = 54 . ((1)/(3))^(n-1)$

Step-by-step explanation:

Given sequence is:

54,18,6.....

In order to write the general formula of a sequence, first of all the common ratio has to be found. Common ratio is the ratio between consecutive terms of a geometric sequence.

$Here\na_1 = 54\na_2 = 18\na_3 = 6\nAnd\nr = (a_2)/(a_1) = (18)/(54) = (1)/(3) \nr = (a_3)/(a_2) = (6)/(18) = (1)/(3)$

The general formula is:

$G_n = A_1 (r)^(n-1)$

Putting the values of a1 and r

$G_n = 54 . ((1)/(3))^(n-1)$

Hence,

The general formula for nth term of given sequence is:

$G_n = 54 . ((1)/(3))^(n-1)$

The ratio of boys to girls in a kindergarten is 2:3. If the number of boys is 12, find the number of girls.

Answers

This mean for every 2 boys there are 3 girls 12 divided by 2 is 6 so you have todo 6*3 which is 18

The product of 5 and a number is 10

Answers

The equation for this would be:
$5x$ =10.
X is equal to 2.

The answer it 2
two 5's equal 10 (5+5)

What is the volume of a sphere with a diameter of 11ft? Round your answer to the nearest cubic foot. 2786 cubic feet 5572 cubic feet 8359 cubic feet 6193 cubic feet