Answer:
y=-5/4x-8
Step-by-step explanation:
2=-5/4(-8)+b
2=10+b
2-10=10-10b
-8=b
I believe it's all correct.
Answer:
325 km
Step-by-step explanation:
Given the scale :
1 : 4 ,000, 000
1cm measure in map = 4000000 on the ground
From the map :
Distance between Leeds and London = 8.125 cm
The actual distance on ground can be calculated thus :
1cm = 4,000,000
8.125cm = x
Cross multiply
x = 32500000 cm
Converting to kilometers :
1 km = 100,000 cm
x = 32500000
Cross multiply
100,000x = 32500000
x = 32500000 / 100000
x = 325
Hence, actual distance between Leeds and London is 325 km
The smaller number is 15 and larger number is 36.
Step-by-step explanation:
Let,
Smaller number = x
Larger number = y
According to given statement;
The sum of two numbers is 51.
x+y = 51 Eqn 1
Four times the smaller number is 24 more than the larger number.
4x = y+24
4x - 24 = y
y = 4x-24 Eqn 2
Putting value of y from Eqn 2 in Eqn 1

Dividing both sides by 5

Putting x=15 in Eqn 2

The smaller number is 15 and larger number is 36.
Keywords: linear equation, substitution
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