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Nuetrik [128]
3 years ago
9

Solve by substitution x-y=12 x+y=18

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0
X = y + 12. You then substitute or plug in that from the first equation into the second equation. You get (y+12)+y=18, then you simplify to get your y value. In this case y = 3. The you can plug your y value into either equation. (x+3=18) or (x-3=12) or (x=3+12) either way you get x=15 and y=3.
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10 (w-4)=4 (w+4)+4w​
eimsori [14]

Answer:

w = 28

Step-by-step explanation:

10(w-4) = 4(w+4)+4w

1. distribute

10w - 40 = 4w +16 +4w

2. collect like terms

10w -4w - 4w = 40 +16

3. solve

2w = 56

w = 28

:D

8 0
3 years ago
What's the answer to this? and please explain.
vichka [17]
<h3>Answer: No, there isn't enough ribbon</h3>

===========================================================

Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

---------------------------------------------------

Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

  • The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
  • The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4

Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

---------------------------------------------------

So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

---------------------------------------------------

From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

---------------------------------------------------

The shortcut we can take is to type the following into the calculator

3+3/4+5/6+2/3

doing so should lead to 5.25

5 0
3 years ago
Read 2 more answers
find the length of the hypotenuse of a right triangle with legs measuring 6 cm and 9 cm. round your answer to the nearest tenth
Xelga [282]
I would say all you have to do is add those sides up then minus it with the total you’re trying to find
7 0
3 years ago
At a collage bookstore Clara purchased a math textbook and a novel that cost a total of $54 not including tax if the price of th
diamong [38]

Answer:

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

Given,

Total cost of maths book and novel = $54

Let,

Cost of maths book = m

Cost of novel = n

According to given statement;

m+n=54      Eqn 1

the price of the math textbook, m, is $8 more than 3 times the price of the novel

m = 3n+8     Eqn 2

m+n=54 and m=3n+8 is the system of equations that could be used to determine the price of each book.

Step-by-step explanation:

3 0
3 years ago
Find the present value of $10,000 payable in five years at 6% simple interest.
Svet_ta [14]
We know, I = P * R * T /100
Here, P = 10,000
R = 6%
T = 5

Substitute their values into the expression,
I = 10000 * 6 * 5 /100
I = 300000 / 100
I = 300

Final Amount = Initial Amount + Interest Amount
Final Amount = 10,000 + 300 = 10,300

So, your final answer is $10,300

Hope this helps!

6 0
3 years ago
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