Q1 - Understanding simultaneous equations Solve these simultaneous equations.
4 pillows and 5 quilts cost $57
9 pillows and 5 quilts cost $72
Find the cost of one of each.
4p + 59 = 57
9p + 59 = 72
P =
and q =
3 apple pies and 5 banoffee cost $28
3 apple pies and 7 banoffee cost $38
Find the cost of one of each.
3a + 5b = 28
3a + 2b = 38
a =
C
and b =
6 mugs and 3 plates cost $21
3 mugs and 3 plates cost $15
Write down and solve simultaneous
equations (m is the cost of a mug and
p is the cost of a plate, in $).
cal
m =
and p =
[
0

P and q are the numbers of pillows and quilts, respectively.
4p+5q = 57
9p+5q = 72

Subtract the second equation from the first equation.

4p+5q = 57
-9p-5q = -72
——————
-5p = -15

p = 3

4(3)+5q = 57
5q = 57-12 = 45
q = 9

A pillow costs $3. A quilt costs $9.

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Which of the following values are in the range is the function graphed below? check all that applya.3b.1c.0d.-2e.5f.2a