Answer:
(1,2)
Step-by-step explanation:
y = 2x. y = -x+3
Set the two equations equal
2x = -x+3
Add x to each side
2x+x = -x+x+3
3x = 3
Divide by 3
3x/3 = 3/3
x = 1
Now find y
y =2x = 2(1) = 2
(1,2)
Answer:
The ones that give a rational number answer are:
C+D
A*B
C*D
A*A
Step-by-step explanation:
A+B does not give a rational number answer; √3+2√3 = 3√3
C+D is a rational number; √25=5 and √16=4; 5+4=9.
A+D is not a rational number; √3+√16 = √3+4
A*B is a rational number; √3*2√3 = 2√9 = 2*3 = 6
B*D is not a rational number; 2√3*√16 = 2√3*4 = 8√3
C*D is a rational number; √25*√16 = 5*4 = 20
A*A is a rational number; √3*√3 = √9 = 3
Answer:
39 touchdowns and 13 fieldgoals
Step-by-step explanation:
Let t= touchdowns
f = fieldgoals
They scored 35 times
t+f = 35
Touchdown is 7 pts and fieldgoal is 3 pt
7t+3f = 193
Multiply the first equation by-7
-7t -7f =-245
Add this to the second equation
-7t -7f =-245
7t+3f = 193
----------------------
-4f =-52
Divide by -4
-4f/-4 = -52/-4
f = 13
Now we can find t
t+f = 35
t+13 = 52
Subtract 13 from each side
t+13-13 =52-13
t =39
Answer:
Step-by-step explanation:
we know that
30 and one-third miles is equal to
one-third of an hour is equal to
Applying proportion
Convert to mixed number
Answer:
D.) $12n + $8u = 112 ;u = 4 + n
Step-by-step explanation:
Given that :
Cost per new books (n) = $12
Cost per used book (u) = $8
Total revenue earned = $112
store sold 4 more used books than new books
Hence,
Total revenue should be :
Revenue from new books + Revenue from used book = total revenue
Revenue from new books = $12 * n = $12n
Revenue from used books = $8 * n = $8n
$12n + $8u = 112
Number of books sold :
Number of used books sold = 4 + number of new books sold
u = 4 + n