MATHEMATICS MIDDLE SCHOOL

Enter the value of n so that the expression (ny + 25.7) + (–45.2y + 13.9) is equivalent to (–33.7y + 39.6).

Answers

Answer 1

Answer:

Answer:

$n=11.5$

Step-by-step explanation:

we have

$(ny+25.7)+(-45.2y+13.9)=(-33.7y+39.6)$

Group terms than contain the same variable in the left side of the equation

$(ny-45.2y)+(25.7+13.9)=(-33.7y+39.6)$

Combine like terms in the left side

$(ny-45.2y)+(39.6)=(-33.7y+39.6)$

Simplify

$ny-45.2y=-33.7y$

$ny=-33.7y+45.2$

$ny=11.5y$

Simplify the y

$n=11.5$

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Answers

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The cost, £C, of hiring a lorry to travel n miles is given by C=a+bn
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 = $(75)/(150)=0.5$

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

Part A:
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

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Answers

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Answers

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