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Kruka [31]
2 years ago
14

From the set {1, 2, 3, 4}, use substitution to determine which value of x makes the equation true. 4x = 8

Mathematics
1 answer:
bearhunter [10]2 years ago
5 0
Answer is 2
Substitute each number into equation
4x = 8
4 (1) = 8. No
4 (2) = 8. Yes
4 (3) = 8. No
4 (4) = 8. No
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What fractions in this list are less than 1/2? 3/6,7/15,4/9,5/8
Vedmedyk [2.9K]
All we need to do is to find a common denominator for both 1/2 and the other numbers individually:

1/2 = 3/6 (so 3/6 is not less than 1/2 - both numbers are equal)
1/2 = 15/30 and 7/15 = 14/30 (so 7/15 is less than 1/2)
1/2 = 9/18 and 4/9 = 8/18 (so 4/9 is less than 1/2)
1/2 = 4/8 (so 5/8 is not less - it's greater than 1/2)

Answer: From the list above only <u>7/15 and 4/9</u> are less than 1/2.
7 0
4 years ago
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
marysya [2.9K]

The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) =  A(1 , 7)

Point 2(x2 , y2) = B(4 , 2)

Point 3(x3 , y3) = C(7 , 7)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]

C(x ,y) = (12/3 , 16/3)

C(x ,y) = (4 , 16/3)

Learn more about centroid of triangle here: brainly.com/question/7644338

#SPJ4

5 0
1 year ago
A city phone book has 86 pages filled with residents names. There are a total of 15.050 names in the book. Eachpage has an equal
Vsevolod [243]

There are 175 names on each page.

5 0
3 years ago
Here is an equation 2(x + 9) = -15. What are three different equations that have the same solution as that equation? Show or exp
igor_vitrenko [27]

Answer: 1) 2x+18=-15

2) -33+18

Step-by-step explanation: 1) multiply the outer number by the numbers inside the parentheses : 2 times x would = 2 because x is not by itself so it would be X=1x and you are multiplying 2x1 which = 2 and add the variable x so it would be 2×, and same with 18, you multiply 9x2 which =18 and thats how i got 2x+18 doesnt matter if i havent found the x yet because we already know what it equals to which is -15... 2) X=16.5 so to check we do 2×-16.5 which = -33 and add 18 it = -15

(IM NOT SURE ABOUT THE THRID ONE )

6 0
3 years ago
Which number in the set {6, 12, 18, 36} satisfies the equation 6x - 18 = 54?
Sergeeva-Olga [200]

Answer:

Here we can go for trial and error,

Taking x=6

So equation will be 6*6-18 which gives 18

and is not equal to 54

So it's, not 6

Trying 12

6*12-18

Which is 54 and so correct answer is x=12

3 0
3 years ago
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