Sophie is at the market to purchase apples. She buys 4 red apples and 1 green apple. If Sophie picks an apple at random to eat,
1 answer:
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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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Answer:
PM = 58
Step-by-step explanation:
The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).
This gives us the expression for PM: x+48
Now, since these are both the two parts of the midpoint, by definition, we know they're equal.
You equal both equations and get x=10
You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.
