james measured his hand it was 0.17 meters . Jennifer measured her hand it was 0.165 meters whose hand is bigger how do you know . EXLPAIN.
Answers
0.17=17
0.165=16 1/2
17>16 1/2
I hoped I helped and please help me on my question.
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where a and b are constants.
The cost of travelling 100 miles is £82. the cost of travelling 250 miles is £157
a find out the value of a and b
b work out the cost of hiring a lorry to travel 300 miles
Please show working out clearly, ill award a brainliest answer!!!!!
Answers
Answer:
Part a) a = 32 and b = 0.5
Part b) £182 is the cost of hiring.
Step-by-step explanation:
Given expression is C = a + bn
where C is the cost of hiring a lorry, n is the distance covered and a, b are two constants.
Part a).
We have to find the constants a and b.
Now we will find the system of equations to find the value of constants.
The cost of travelling 100 miles is £82.
82 = a + 100b ---------(1)
The cost of travelling 250 miles is £157
157 = a + 250b --------(2)
Now we will subtract equation 2 from 1.
157 - 82 = (a + 250b) - (a + 100b)
75 = 150b
b =
Now we put the value of b in equation 1
82 = a + 100×(0.5)
82 = a + 50
a = 82 - 50 = 32
a = 32 and b = 0.5
Part b).
We have to find the cost of hiring a lorry to travel 300 miles.
C = a + bn
C = 32 + (0.5)(300)
C = 32 + 150
C = £182
C= a + bn
Make the two equations out of the words:
82 = a + b100 * 2.5 = 205 = a + b250
157 = a+ b250
Subtract the two,
205 = a + b250
- ( 157 = a + b250)
48 = a
Find b by substituting in a:
82 = a + b100
82 = 48 + b100
34 = b100
b = 0.34
Answer for part a: a = 48 , b = 0.34
Part B:
C = a +bn <- when n = 300 , put in a and b, then solve
C = 48 + 0.34(300)
C = 48 + 102
C = 150
Cost when hiring a lorry to travel 300 miles is 150 pounds
Answers
Answer:
y = 2x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (6, 7)
m = (7 + 9) / (6 + 2) = 16/8 = 2
y = 2x + c ← is the partial equation
to find c use either of the 2 points
using (6, 7), then
7 = 12 + c ⇒ c = 7 - 12 = - 5
y = 2x - 5 ← equation in slope-intercept form
Answers
Answer:
£166 : £581
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
2 + 7 = 9
747 ÷ 9 = 83
2 : 7
( × 83 both sides )
166 : 581
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Answer: 1/8, 2/16, 3/24