4 is really 2 * 2
12 is reallly 2 * 2 * 3
8 is really 2 * 2 * 2
now, the 2 * 2, is repeated in the factoring, so we use it once only. We still have to account for the extra 2 and 3.
therefore, the LCD will be 2 * 2 * 2 * 3, or 24.
after all the slicing in each tray, all pieces will be equal in length in each tray, and there'll be 24 of them in each tray.
Answer:
step 3: place the tip of the compass at point x and strike the arc at point y
Step-by-step explanation:
congruent triangles are triangles that have equal shape and size. They are the same in every way. this is the reason why they are called CONGRUENT
we have been asked to construct an angle MNT congruent to angle PQR. this means we are to construct angle that is the same as that at PQR.
with a ruler and a compass we can easily make a replica of the angle at PQR.
following the steps given in the question including step 3 that i have just added, the angle MNT will be the same as the angle PQR
Answer=6
Given the information, the following equation can be made, where x is equal to the number of cases she needs to buy.
160=16+24x
subtract 16 from both sides
144=24x
divide both sides by 24
6=x
She will have to buy 6 cases to have a total of 160 water bottles.
Answer:
Sara- 17
Mark- 51
Caroline- 34
Step-by-step explanation:
1) start by adding the ratios together, so 1+3+2= 6. Due to the order of the ratio, Sara, gets 1 art of the money, Mark gets 3 parts and Caroline get 2 parts.
2) take the total amount of money (102) and divide it by (1+3+2). 102/6 is 17.
3) divide the money by the amount each person gets. Sara only has one part, so she has £17, Mark gets 3 parts so he gets £51, and Caroline gets 2 parts, so she ends up with £34.
4) do 17+34+51 to check it equals 102. ( it does ;D)
Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z
it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.
so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x
we know that 60 medals were won so
y = 4x
60 = 4x
x = 15
that is the amount won by short people
