All categories

3 years ago

If 2x+ 3y = 55 and 4x= y+ 47, ﬁnd x − y. Can you please explain with some details?

1 answer:

8 0

4x=y+47, we can subtract 47 from both sides to get:
4x-47=y, now we know what y equals in terms of x, so we can substitute that in to the other equation:
2x+3y=55 becomes 2x+3*(4x-47)=55 which becomes:
2x+12x-141=55 which becomes 14x-141=55 and we can add 141 to both sides:
14x=196, divide 14 by both sides, we get x=14, which we can substitute back into the y=equation:
4x-47=y becomes 14*4-47=y which becomes y=9
x=14, y=9
x-y=14-9=5

You might be interested in

How many 5-member chess teams can be chosen from 15 interested players? Consider only the members selected, not their board posi

ryzh [129]

<u>Answer</u>:

3003 number of 5-member chess teams can be chosen from 15 interested players.

<u>Step-by-step explanation:</u>

Given:

Number of the interested players = 15

To Find:

Number of 5-member chess teams that can be chosen = ?

Solution:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula $nCr = \frac{n!}{r!(n - r)!}$

where

n represents the total number of items,

r represents the number of items being chosen at a time.

Now we have n = 15 and r = 5

Substituting the values,

$15C_5 = \frac{15!}{5!(15- 5)!}$

$15C_5 = \frac{15!}{5!(10)!}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 }{5 \times 4 \times 3 \times 2 \times 1(10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{15\times \times 14 \times 13 \times 12 \times 11}{(5 \times 4 \times 3 \times 2 \times 1)}$

$15C_5 = \frac{360360}{120}$

$15C_5 = 3003$

7 0

3 years ago

The amount in a savings account increased from 200 to 216. What was the percent of increase?

aleksandrvk [35]

216/200=%
1.08 which equals 108%

4 0

3 years ago

The table below shows the functions to represent the sale f(t), in thousands, of four companies in t years: Company A B C D Sale

bazaltina [42]

1) Company A and C

2)Your answer is f(t) = 180(0.5)^t This is because the number is cut in half for every hour.

3)C 0 ≤ x ≤ 50 is the right answer because the starting time 9:05 is considered as zero and the 9:55 is the ending point which is considered as 50.Or simply the difference of both the times is the domain of the function.

5 0

3 years ago

The formula a=46c gives the floor area (a) in square meters that can be wired using (c) circuits

antoniya [11.8K]

a = 46c....for c
a/46 = c

322 = 46c
322/46 = c
7 = c.....7 circuits are required

6 0

3 years ago

What is 12(18)>8+34-98=

Law Incorporation [45]

Answer:

12*18?8+34-98

216>-56

TRUE

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers