Answer:
The Cost of yellow shirts is $15 and the cost of purple shirt is $ 60
Step-by-step explanation:
Let cost of one yellow shirt be x
and the cost of one purple shirt be y
On Monday
5x + 7y = 165--------------------(1)
On Tuesday
4x + 11y = 213----------------------(2)
To solve (1) and (2)
multiplying eq(1) with 4
20x + 28y = 660--------------------(3)
multiplying eq(2) with 5
20x + 55y = 1056-------------------(4)
Subtracting (3) from (4)
20x + 55y = 1056
20x + 28y = 660
(-)
-----------------------------------
0x +27y = 405
-----------------------------------
y = 15
Substituting y value in eq(1)
5x + 7(15) = 165
5x + 105 =405
5x =405 -105
5x =300
x = \frac{300}{5}
x =60
9514 1404 393
Answer:
- area: 114 square units
- perimeter: 44 units
Step-by-step explanation:
The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(12 +7)(12) = 114 . . . square units area
__
The length of side AB can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13
The sum of the side lengths is then ...
13 +7 +12 +12 = 44 . . . units perimeter
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
Answer:
Step-by-step explanation:
×
×
Answer:
If m is parallel to n and n is perpendicular to p, then m is perpendicular to p.
Step-by-step explanation:
If you draw m parallel to n and then you run a line p through n such that n and p are perpendicular. The line p will also cross over m since lines go on forever and it will be perpendicular to m as well.