Answer:
x = 6
Step-by-step explanation:
move all terms to the left:
-1.5x+12-(2.5x-12)=0
get rid of parentheses
-1.5x-2.5x+12+12=0
add all the numbers together, and all the variable.
-4x+24=0
move all terms containing x to the left, all other terms to the right
-4x=-24
x=-24/-4 - divide
x=+6
Step-by-step explanation:
since packages are similarsimilar packages. The ratio of the volumes is 8:125. Determine the dimensions of the bigger package. The dimensions of the smaller package are... Height= 45cm, Length= 80cm, and Width= 25cm.
Length of bigger package = <em><u>8</u></em><em><u>0</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>0</u></em><em><u>c</u></em><em><u>m</u></em>
Width of bigger package =<em><u>2</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>3</u></em><em><u>9</u></em><em><u>0</u></em><em><u>.</u></em><em><u>6</u></em><em><u>2</u></em><em><u>5</u></em><em><u>c</u></em><em><u>m</u></em>
Height of bigger package =<em><u>4</u></em><em><u>5</u></em><em><u>×</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>/</u></em><em><u>8</u></em><em><u>=</u></em><em><u>7</u></em><em><u>0</u></em><em><u>3</u></em><em><u>.</u></em><em><u>1</u></em><em><u>2</u></em><em><u>5</u></em><em><u>cm</u></em>
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
Answer:
<h2>x = 3.499 in</h2>
Step-by-step explanation:
In a kite, the diagonals are perpendicular. Hence
is a right angled triangle.

From Pythagoras theorem, since
is a right angled triangle,
.
Area of
= 

From diagram 
∴ 
Answer:
Step-by-step explanation:
<em>Perimeter is the sum of side lengths</em>
<u>Let's find the sides first</u>
- AB = √(-2- 2)² + (-4+1)² = 5
- BC = (2 - (-1)) = 3
- CD = √(-1- 2)²+(5-2)² = √18 = 3√2 = 4.24
- DE = √(-4 -(-1))²+(2-5)²= √18 = 3√2 = 4.24
- AE = √(-4-(-2)²+(2-(-4))²=√40= 2√10 = 6.32
<u>Perimeter is</u>
- P = 5 + 3 + 4.24 + 4.24 + 6.32 = 22.8 ≈ 23 rounded to the nearest whole number