maura2mconroy0547
maura2mconroy0547 maura2mconroy0547
  • 02-03-2017
  • Mathematics
contestada

the sum of three numbers is twenty. the second number is four times the first and the sum of the first and third is eight. what are the three numbers?

Respuesta :

baabaagreysheep
baabaagreysheep baabaagreysheep
  • 02-03-2017
Let's call the three numbers x, y, and z. 


The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so 
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve

5x + z = 20
x + z = 8

5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5

x + z = 8
x + 5 = 8
x = 3

y = 4x
y = 4 × 3
y = 12

I hope this helps!
Answer Link

Otras preguntas

Pick an activity you enjoy, such as running or riding a scooter, and describe how newton's laws apply to that activity.
Can someone help me with geometry, my teacher doesn't explain anything?
Why would the male pelvis exhibit more prominent (pronounced) bone markings than the female pelvis?
What is surface of bacon isotonic , hypertonic or hypotonic?
the seperation of powers was created in constitution to prevent ?
A commercial comes on for an arthritis cream. lachlan has been having some pain in his knees lately, so he's both motivated and able to attend to the commercial
Which choice is an example of the comparative form? A. Most incredible B. Clever C. Softest D. Worse
Use the information from part c to determine how the operon is regulated for this genotype (i- p+ o+ z+ y-).
when i was 6 my sister was half my age now that im 70 how old is she????
Explain how a mixed economy is a mixture of command and pure market economy