Each two digit number has two numbers (duh!). Let's allow the tens digit to be x and the units digit to be y. Tens digit is 3 less than the units digit: x = y-3 Original number is 6 more than 4 times the sum of the digits: 10x+y-6 = 4x + 4y This gives us simultaneous equations!First let's clear the mess: 1. x= y-32. 6x-3y=6 Substitute 1 into 2: 6(y-3) -3y =66y - 18 - 3y = 6
3y = 24y = 8 Our units digit is 8 Substitute y= 8 into 1. x = y - 3x = 5 Our tens digit is 5 Therefore, our number is 58
<u>Sampe : Total</u>
25 : 750
(÷25) (÷25)
1 : 30
( x7) ( x7)
7 : 210
Answer: (a) There is a total of 210 orange cakes made on Monday.
The sample is 5 when corrected to the nearest whole number.
⇒Smallest possible number is 4.5
Total orange cakes baked on Tuesday = 4.5 x 30 = 135
P(Orange Cake) = 135/750 = 9/50
Answer: (b) The probability is 9/50
So each foot is 12 inches so to remove 8 feet to get 12 in you need to remove 8 times 12 inches total or 96 in and each cut removes 1/8 in so times 96 by 8 and get 768 total cuts
Answer:
5: 45 miles
6: y=20x
Step-by-step explanation:
A.)
<span>s= 30m
u = ? ( initial velocity of the object )
a = 9.81 m/s^2 ( accn of free fall )
t = 1.5 s
s = ut + 1/2 at^2
\[u = \frac{ S - 1/2 a t^2 }{ t }\]
\[u = \frac{ 30 - ( 0.5 \times 9.81 \times 1.5^2) }{ 1.5 } \]
\[u = 12.6 m/s\]
</span>
b.)
<span>s = ut + 1/2 a t^2
u = 0 ,
s = 1/2 a t^2
\[s = \frac{ 1 }{ 2 } \times a \times t ^{2}\]
\[s = \frac{ 1 }{ 2 } \times 9.81 \times \left( \frac{ 12.6 }{ 9.81 } \right)^{2}\]
\[s = 8.0917...\]
\[therfore total distance = 8.0917 + 30 = 38.0917.. = 38.1 m \] </span>
