Answer:
the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 
n ) + (20 (3/5)n) = 9n + 12n = 21n
Step-by-step explanation:
i) there are n noodles in a necklace
ii) there are 9 necklaces
iii) therefore the number of noodles used to make the nine necklaces = 9 n = 9n
iv) there are 3/5 noodles in a wreath
v) there are 20 wreaths
vi) therefore the number of noodles used to make the nine necklaces
= 20 (3/5)n = 12n
vii) the expression that shows the number of noodles Julia uses to make 9 necklaces and 20 wreaths
= (9 n ) + (20 (3/5)n) = 9n + 12n = 21n
Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
Answer:linear
Step-by-step explanation:
Answer:
11+4x
Step-by-step explanation:
2+3(x+3)+x
Distribute 3 through the parenthesis
2+3x+9+x
Add the numbers
11+3x+x
Collect thw like terms
11+4x
Answer:
Step-by-step explanation:
We'll assume the correct expression to be factored is
One must try to find out if the expression is a perfect square. To test it, we'll take the square root of the first and the last term. If they are exact, we'll procceed with the next step
Since both are exact, we'll test if the middle term is twice the product of both square roots:
We confirm the middle term equals the above expression. All tests confirm the original expression is
The required factoring is
