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mr_godi [17]
3 years ago
5

What is the value of x? Enter your answer in the box.

Mathematics
2 answers:
OverLord2011 [107]3 years ago
4 0
5x + 10           10
---------- =      -------
   121               11

make the bottom have same common denominator

10/11 x (10/10) = 100/121

Get rid of the denominator (for both now have 121 as a base)

5x + 10 = 100

5x + 10 (-10) = 100 (-10)

5x = 90

5x/5 = 90/5

x = 18

x = 18  is your answer

hope this helps
swat323 years ago
3 0

121/11 =11

10* 11 = 110

5x+10 = 110

5x = 100

x = 20

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the height of a triangle is 4 meters less than the base. if the area of the triangle is 6 m^2 what is the height of the triangle
inna [77]

Answer:

2m

Step-by-step explanation:

Alrighty let's do this.

We know that formula for the Area of a triangle is:

A = \frac{1}{2}bh

They give us the area as 6m^2, so let's include it in the equation.

6 = \frac{1}{2}bh

Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that h = b-4

So replace h in the equation with b-4.

You will now get:

6 = \frac{1}{2}b(b-4)

Now we can work towards solving. Let's get simplifying.

12 = b(b-4)\\12 = b^2 - 4b\\

bring everything to one side so we can make a quadratic and factor:

0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2

We get that b=6.

Since we need the height of the triangle we'll need to call back on what h is. We found earlier that h = b - 4, so to find h, we just sub in our b value into that.

h = (6) - 4 = 2

We find that h=2

7 0
2 years ago
What is the least common multiple of 37 and 12
emmasim [6.3K]
<span>To get the Least Common Multiple (LCM) of 37 and 12 we need to factor each value first and then we choose all the factors which appear in any column and multiply them: 

<span><span>37:      37</span><span>12:   223 </span><span>LCM:   22337</span></span>The Least Common Multiple (LCM) is:   2 x 2 x 3 x 37 = 444</span><span> </span>
4 0
3 years ago
What’s 4x + 7y + 4 + 5x + y
fomenos

Hello!

Okay, so first we need to add like terms... so first, add the terms with the same variables. That gives us:

9x + 7y + 4 + y

Now add 7y and y

That gives us:

9x + 8y + 4

This can't be added anymore... this is as far as we can go because they are no longer like terms.

6 0
2 years ago
Read 2 more answers
Need help hurry please
Fofino [41]

<em><u>Answer:</u></em>

Real number

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

18.62 is a Real number. A real number is just a number that is either an integer, decimal or anything like that.

4 0
3 years ago
The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?
Veronika [31]

Answer:

6

Step-by-step explanation:

(x + 9) * (x - 2) = 60

x^2 - 2x + 9x - 18 = 60

x^2 + 7x - 18 = 60

x^2 + 7x = 78

FACTORING:

x(x + 7) = 78

x = 6

6 0
3 years ago
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