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guajiro [1.7K]
3 years ago
8

The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 i

nches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0
The sides are 2x, 3x-5 and 4x+2
perimiter is the sum of the sides

a.
2x+3x-5+4x+2=63 is an equation

b.
solve
group like terms
2x+3x+4x-5+2=65
add like terms
9x-3=65
add 3 to both sides
9x=68
divide both sides by 9
x=68/9


2x=2(68/9)=136/9 in
3x-5=3(68/9)-5=(68/3)-5=(68/3)-(15/3)=53/3
4x+2=4(68/9)+2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in
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3 0
3 years ago
Louise has only 5 cent, 10 cent, and 20 cent coins in her purse. She has 30 coins in total, and she has two more 10 cent coins t
Hoochie [10]
Let x =  number of 5 cent coins.
Then there are (x+2) 10 cent coins.
Let y = 20 cent coins.
Total coins: x+(x+2)+y = 30
2x+y=28       
y = 28-2x                             (1)
Total value: 0.05x + 0.1(x+2) + 0.2y = 3.80
0.15x + 0.2y + 0.2 = 3.80
0.15x + 0.2y = 3.60             (2)
Substitute (1) into (2).
0.15x + 0.2(28-2x) = 3.60
-0.25x + 5.60 = 3.60
2.00 = 0.25x
8 = x

From (1), obtain y = 28 - 2(8) = 12
Answer: (x+2) = 8+2 = 10 
Louise has 10 10-cent coins
3 0
3 years ago
How does 8 4/3 = 9 1/3?​
irga5000 [103]

You're question asks why the given mixed numbers are equal.

In fact, they're equal.

Lets make it easier for you to understand:

8 4/3 has a improper fraction "4/3", that fraction is over 1 whole.

You could look at 8 4/3 as:

8 + 3/3 + 1/3

The 3/3 turns into 1:

8 + 1 + 1/3

9 + 1/3

9 1/3

You would see that it turns into 9 1/3, therefore they are equal.

7 0
3 years ago
Find the approximate value of √191 to the nearest tenth. What 2 numbers does it fall between when placed on a number line?
meriva

The approximate value of √191 to the nearest tenth is 13.8 and the two numbers that should fall on the number line is between 13-13.5.

Given that,

  • The square root of √191.

So, the approximate value of √191 is

= \sqrt{191} \\\\= 13.82\\\\

= 13.8

It shows that the two numbers that should fall between at the time when place on the number line is between 13-13.5.

Therefore we can conclude that the approximate value of √191 to the nearest tenth is 13.8 and the two numbers that should fall on the number line are between 13-13.5.

Learn more about the number line here: brainly.com/question/16191404

7 0
3 years ago
The height of a stack of DVD cases is proportional to the number of cases in the stack. The height of 6 DVD cases is 114 mm.
Zanzabum
OK so my answer is from what you’ve just explained that means you multiply the six and the 114 is 684 so that means if you have to do that to 13 of them that means 684×13 is what your equation would be in the answer to 684×13 is 8892
8 0
2 years ago
Read 2 more answers
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