The system of equations:2 y = - x - 12 y = x + 5---------------------- x - 1 = x + 5- 2 x = 5 + 1- 2 x = 6x = - 6 : 2x = - 32 y = - 3 + 52 y = 2y = 1The solution is ( - 3 , 1 ).Answer: The x-coordinate of the solution to the system is: x = - 3.
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Laura has 10 more marbles than Kristen
128-188=10
Answer:
Step-by-step explanation:
the balloon starts at (10, 0 )
it ends at 16,0)
in the middle it's at between 10 and 16 , so say about 13, where it reaches 27
so in the middle it's (13,27)
so ( 11, 9)
(12, 18)
got 13
(14, 18)
(15, 9)
got 16
:P
The price after the discount was $45.
When the sporting goods store bought the snowboard and marked it up by 25%, the price became:
<em>= Original cost x ( 1 + markup percentage)</em>
= 120 x ( 1 + 25%)
= 120 x 1.25
= $150
The snowboard was then discounted by 70%, the new price becomes:
<em>= Current price x ( 1 - discount rate)</em>
= 150 x ( 1 - 70%)
= 150 x 30%
= $45
In conclusion, the price after the discount was $45.
<em>Find out more at brainly.com/question/1472521.</em>
Hey there :)
Let us translate the sentences to mathematics for ease!
A 3-digit number
Ones digit → ( let p represent is )
Hundreds digit is four more than ones digit → ( 4 + p )
Tens digit is twice hundreds digit → 2 ( 4 + p ) = 8 + 2p
Sum of the digits is 12
↓
Hundreds digit + Tens digit + Ones digit = 12
( 4 + p ) + ( 8 + 2p ) + p = 12
Combine like terms
4 + 8 + p + p + 2p = 12
12 + 4p = 12
Take 12 to the opposite side { Do subtraction when you see addition }
12 ( - 12 ) + 4p = 12 - 12
4p = 0
Divide by 4 on either side
p = 0( 4 + 0 ) + ( 8 + 2 ( 0 ) ) + ( 0 )
The number is 480Check
Hundreds + Tens + Ones = 12
4 + 8 + 0 = 12
12 = 12