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What are the intercepts of -4x plus 6y-5z equals 60?
-4x + 6y - 5z = 60At the x-intercept, 'y' and 'z' are zero:-4x = 60 ===> x = -15At the y-intercept, 'x' and 'z' are zero:6y = 60 ===> y = 10At the z-intercept, 'x' and 'y' are zero:-5z = 60 ===> z = -12
How would you write the product of a number z and 4 as a variable expression?
4xz=16
What number multiplied by itself 3 times equals 1728?
It is: 12*12*12 = 1728
What is the product of 8 and z?
The product of 8 and z can be represented as 8z, which is a simple algebraic expression indicating the multiplication of 8 and z. In mathematical terms, the product refers to the result obtained when two numbers are multiplied together. Therefore, the product of 8 and z is 8z.
If five numbers average 20 and by taking out one number the average becomes 15 what it the value of the missing number?
This question can be rephrased as, "If (v+w+x+y+z)/5=20, then for what value of z does (v+w+x+y)/4=15?". Thus, z is "the missing number." Let's solve for v+w+x+y in both equations. In the first equation, v+w+x+y=(20)(5)-z=100-z. In the second equation, v+w+x+y=(15)(4)=60. So 100-z=60. z=40. That's it! The missing number is 40!
