Answer:
I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.
Answer:
£90
Step-by-step explanation:
Let M = Malachy's share
and P = Paul's share
and B = Brian's share.
We have three conditions:
(1) M = 2P
(2) P = 3B
(3) M + P + B = 150
Solve for B:
Substitute (2) into (3) (4) M + 3B + B = 150
(5) M + 4B = 150
Substitute (2) into (1) M = 2(3B)
(6) M = 6B
Substitute (6) into (5) 6B + 3B + B = 1 50
(7) B = 15
Solve for P:
Substitute (7) into (2) P = 3×15
(8) P = 45
Solve for M:
Substitute (8) into (1) M = 2×45
M = 90
Malachy gets £90.
Answer:
2s + t = 23.5
Step-by-step explanation:
There are two types of shortboards:
Let the width of a standard shortboard be represented by s.
Similarly, Let the width of a technical shortboard be represented by t.
As per the given information: total width of two standard shortboards
and a technical shortboard is 23.5 inches.
Representing it as an equation in terms of the variables defined:
2s + t = 23.5
In order to get the simplest form of a fraction, you just have to find a common number that can be divided by both the numerator and the denominator. So for these questions, the simplest form of 8/100 is 4/5. The simplest form of 4/100 is 1/25. The simplest form of 65/100 is 13/20. The simplest form of 28/100 is 7/25. The simplest form of 78/100 is 39/50. The simplest form of 24/25. And lastly, the simplest form of 50/100 is 1/2. Those are the answers to each question/
Answer:
The following steps are needed:
1. Find the function of AB with A(-3,2) and B(7,6)
y(AB) = mx + b. Calculate m = (y₂-y₁)/(x₂-x₁) = (6-2)/(7+3) = 4/10 → 2/5
y(AB) = (2/5).x + b. Calculate b; 6 = (2/5).(7) + b and b = 16/5
y(AB) = (2/5).x +16/5
2. calculate the function y(CD) = mx + bWe know already m = -5/2, since CD is perpendicular to AB and hence the product of their slopes = -1
y(CD) = -(5/2).x + b
We also know that y(CD) passes in the middle of AB, then let's calculate the coordinate of C, the midpoint of AB:x=(x₁+x₂)/2 and y=(y₁+y₂)/2)x= (-3+7)/2 and y=(2+6)/2x= 2 and y=4y(CD) = (-5/2).x +b4 = (-5/2).(2)+b and b = 9y(CD) =(-5/2)x + 9
x intercept when y = 0 → 0= (-5/2)x +9 → x= 18/5So x intercept (18/5,0)
So the answer is at point B.
