Please, please help! Simplify the following:

From the information in the word problem we are able to set up the following inequality:  

3y + 2 - y = 12   |   where x is the larger number of two numbers in a set (x, y)  

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.  

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y              :: 2y = 10

-> divide both sides by 2        :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:  

x - y = 12

-> substitute y for 5     :: x - 5 = 12

-> add 5 to both sides :: x = 17

OR

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5          :: 15 + 2 = x

-> add 15, 2              :: 17 = x

So there you have it:  

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.  

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.  

(just another form of the equation)

brainliest will be appreciated as well

Answer:

(0, 2)

Step-by-step explanation:

Both the lines are intersecting each other at point (0, 2)

So, the solution to the system of equations would be (0, 2)

Hope it helps you in your learning process

Answer:

I think its (0,2) :)

Step-by-step explanation:

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

Answer:

41.616

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

18 inches was the height of the baby when they were born since it isn't y which would be the current height of the baby now in months that tells me months have passed which includes x is the age of the baby in months.

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

Answer:

5 feet, 3 inches

Step-by-step explanation:

set up a proportion based on corresponding sides, then solve by cross-multiplying:

h/7 = 3/4

4h = 21

h = 21/4

h = 5 1/4 which is 5 feet, 3 inches

Answer:

A

Step-by-step explanation:

184/16=11.5

Answer:

4

Step-by-step explanation:

Answer:

550

Step-by-step explanation:

9.4/100 multiplied by 607 is 57

subtract this from 607 and the answer is 549.9, to the nearest dollar is 550

Answer:

First term: a

Second term: a+d

Third term:a+2d

Step-by-step explanation:

An expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 8, 13, 18, and 23 is 5. An arithmetic progression is another name for an arithmetic sequence.

Let the a be the initial term of a sequence and d be the common difference, then the nth term of any arithmetic sequence can be written as aₙ = a + (n - 1)d.

If we want first three terms of any arithmetic sequence, then we have to put n = 1, 2, 3 in the above expression.

So, for n = 1, a₁ = a + (1 - 1)d = a + 0d = a

for n = 2, a₂ = a + (2 - 1)d = a + d

for n = 3, a₃ = a + (3 - 1)d = a + 2d

Therefore, an expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

Learn more about arithmetic sequences here -

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Answer:

E

Hope it helps!                    

The  expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51 ​

Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

We have been given that  expressions  as

A 734 ÷ 6

= 367/2

= 133.5

B 803 ÷ 10

= 80.3

C 1990 ÷ 9

= 221.1

D 5280 ÷ 48

= 110

E 9795 ÷ 51 ​

= 192.05

Hence, the expressions have an estimated quotient of 200 are C 1990 ÷ 9 and E 9795 ÷ 51 ​

Learn more about the quotient;

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Answer:

264 naira

Step-by-step explanation:

Given that:

Amount earned per year = 2460

Rate of interest paid : 10k per naira earned

Tax paid by messenger per year :

100k = 1 naira

10k = (100/10) = 0.1 naira

Hence 0.1 naira is paid as tax on every naira earned

Total amount paid on 2640 Naira :

Amount paid per naira * total amount earned

(0.1 * 2640) = 264 naira

Answer:

C. an expression

Step-by-step explanation:

Answer:

it’s 1/4

Step-by-step explanation:

Answer:

∠ACD≅∠CAB

Alternate interior angles are congruent if lines are parallel

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

Answer:

35

Step-by-step explanation:

To find the figures area you must first find the area of the overall square and then subtract the area of the triangle.

7 x 6 = 42

(7 x 2)/2 = 7

42 - 7 = 35

Answer:

Step-by-step explanation:

7x+4^3+5  just answer that ans that will givin u your answer

Answer:HI cant really see

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You know the second tick mark is one half, and for that you can conclude the third one as 3/4. 3/4=6/8. 1=8/8. therefore it is 7/8.  

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

Answer:

x is the value of 12

Step-by-step explanation:

erfg

Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.