Answer:
x = 29
Step-by-step explanation:
If the equation is :
4.2(9-x)+36=102-2.5(2x+2)
→distribute 4.2 and -2.5 in parenthesis
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
→ have terms with x = terms without x
Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.
4.2(9 - x) + 36 = 102 -2.5(2x + 2)
37.8 - 4.2x +36 = 102 -5x -5
- 4.2x +5 x = - 37.8 - 36 + 102 - 5
→ Combine like terms
0.8x = 23.2
→ Divide both sides by 0.8
x = 29
Answer:
The average goes up by 0.6.
Step-by-step explanation:
The average of the original data set, 6,6,7,8,9 is 7.2. The average of the new data set with 3 more cookbooks 6,7,8,9,9 is 7.8. Therefore it increases by 0.6, hope that makes sense :)
8 1/4 is given as a positive number so you could write it as +8 1/4
The opposite of positive is negative, so you would have -(+8 1/4)
The answer is A
Answer: 42.5 m
Step-by-step explanation:
Split the figure into a rectangle and a triangle.
Find the areas of the rectangle and the triangle seperately and add them together.
Rectangle: 7 x 5 = 35
Triangle: 5 x 3/2 = 7.5
35+7.5= 42.5m
<u>Let's solve this problem step by step</u>
<u />
| Given Equation
| Distributive Property of Multiplication over subtraction
| Subtraction Property of Equality
| Subtraction Property of Equality
| Division Property of Equality
<em>Definition of each property</em>:
- <u><em>Distributive Property of Multiplication over subtraction</em></u><em>: it says that the product of a number and the difference of two other numbers is equal to the difference between the products of the distributed number.</em>
- <u><em>Subtraction Property of Equality</em></u>:<em> if the same value is subtracted from two equal sides, the differences remain the same</em>
- <u><em>Division Property of Equality</em></u><em>: if the same value is divided from two equal sides, the equation remains the same</em>
<em />
Hope that helps!
