<span>Mario has drawn a plan of his bedroom on 1 cm square paper. His en-suite shower cubicle measure. 1m x1m, give the scale of his drawing
as ratio _ 1 cm__ : __1m_.
What are the actual dimension of his bed __1__ m x _1_ m</span>
Answer:27 pieces were sold at the original price.
63 pieces were sold at the new price
Step-by-step explanation:
Let x represent the number of pieces of pottery that was sold at the original price.
Let y represent the number of pieces of pottery that was sold at the new price.
They sold some of their pottery at the original price of $9.50 for each piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x
They later decreased the price of each piece by $2. This means that the new price was 9.5 - 2 = $7.5
This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y
If they sold all 90 pieces and took in $729, then the equations are
x + y = 90
9.5x + 7.5y = 729 - - - - - - - - - -1
Substituting x = 90 - y into equation 1, it becomes
9.5(90 - y) + 7.5y = 729
855 - 9.5y + 7.5y = 729
- 9.5y + 7.5y = 729 - 855
- 2y = - 126
y = - 126/- 2 = 63
Substituting y = 63 into x = 90 - y, it becomes
x = 90 - 63 = 27
The line segment HI has length 3<em>x</em> - 5, and IJ has length <em>x</em> - 1.
We're told that HJ has length 7<em>x</em> - 27.
The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.
This means we have
7<em>x</em> - 27 = (3<em>x</em> - 5) + (<em>x</em> - 1)
Solve for <em>x</em> :
7<em>x</em> - 27 = (3<em>x</em> + <em>x</em>) + (-5 - 1)
7<em>x</em> - 27 = 4<em>x</em> - 6
7<em>x</em> - 4<em>x</em> = 27 - 6
3<em>x</em> = 21
<em>x</em> = 21/3
<em>x</em> = 7
To solve you insert into proportions, then cross-multiply and simplify.
But first, add 5 and 6 to get the full side length of the bigger triangle
11x = 27.5
x = 2.5Hope this helps!
Answer:
X^2+ 2x+35
Step-by-step explanation:
Use pemdas. Multiply the parentheses. Multiply. Collect like terms. Remove the parentheses.
