Answer:
#3=51. #5=85
Step-by-step explanation:
#3. PEMDAS
(2-10×6)-7
PARENTHESIS FIRST
MULTIPLICATION FIRST
10×6=60
60-2=58
58-7=51
#5. PEMDAS
(12-11)+12×7
PARENTHESIS FIRST
12-11=1
1+12×7
MULTIPLICATION FIRST
12×7=84
84+1=85
Answer:
-6.5 :D
Step-by-step explanation:
add all of the numbers together then divide by how many there are.
Answer:
It will take Sarah 2 1/2 hours to mow 10 lawns
It will take Sarah 1 2/3 hours to clean 10 pools
Step-by-step explanation:
During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?
Number of lawns : Time to mow lawns = 6 : 1 1/2
= 6 : 3/2
Number of lawns : Time to mow lawns = 10 : x
6 : 3/2 = 10 : x
6 ÷ 3/2 = 10/x
6 * 2/3 = 10/x
12/3 = 10/x
Cross product
12 * x = 3 * 10
12x = 30
x = 30/12
x = 2 6/12
x = 2 1/2 hours
It will take Sarah 2 1/2 hours to mow 10 lawns
Number of pools cleaned : time taken = 1 : 1/6
Number of pools cleaned : time taken = 10 : x
1 : 1/6 = 10 : x
1 ÷ 1/6 = 10/x
1 * 6/1 = 10/x
6 = 10/x
Cross product
6 * x = 10
6x = 10
x = 10/6
x = 1 4/6
x = 1 2/3 hours
It will take Sarah 1 2/3 hours to clean 10 pools
(0,0) is the origin of a graph, so both W and W' remain at the origin.
The other 3 vertices double in size:
If you multiply all the numbers in X, Y and Z by 2, they become the numbers in X', Y' and Z'.
X(1,2) x 2 = (1*2,2*2) = X'(2,4)
Y(4,2) x 2 = (4*2, 2*2) = Y'(8,4)
Z(3,0) x 2 = (3*2, 0*2) = Z'(6,0)
That means the scale factor is 2
X/4y = 16/4(2) = 16/8 = 2
