Answer: 2:1
Step-by-step explanation:
The ratio of A to B is given by : 
or A : B .
Given : sundaes with nuts = 4
sundaes without nuts = 8
The ratio of the number of sundaes with nuts to the number of sundaes without nuts = ![\dfrac{8}{4}=\dfrac{2}{1}\ \ \ [\text{Divide numerator and denominator by 4 }]](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B4%7D%3D%5Cdfrac%7B2%7D%7B1%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BDivide%20numerator%20and%20denominator%20by%204%20%7D%5D)
= 2:1
hence, the required ratio = 2:1 .
Answer:
66
Step-by-step explanation:
angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.
The sum of the triangles angles equal 180
180-56-58=66 which is the value of angle 2
Answer:
True
Step-by-step explanation:
Two angles form a pair of complementary angles
P(x) = 12x – 180
Given:
A company makes and sells charm bracelets.
The cost of producing x bracelets is represented by the function C(x) = 180 +
8x
The revenue earned from selling x bracelets is represented by the function
R(x) = 20x.
Explanation of terms:
For x bracelets,
Cost of production is C(x); C(x) = 180 + 8x
Revenue earned is R(x); R(x) = 20x.Profit made is P(x); P(x) is unknown
Profit made = Revenue earned – Cost of production
∴ P(x) = R(x) – C(x)
P(x) = 20x – (180 + 8x)
P(x) = 20x – 180 – 8x
P(x) = 12x – 180
The profit made from selling x bracelets is represented by the function
<em> P(x) = 12x – 180</em>
Answer:
x = 3, y = 1 is the solution of the given system.
Step-by-step explanation:
Here, the given system of equations is:
y = -x + 4 ...... (1)
y = x - 2 .......... (2)
Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,
y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)
or, -x -x = -2 -4
or, - 2 x = -6 ⇒ x = 6/2 = 3
or, x = 3
⇒ y = x - 2 = 3 - 2 = 1
⇒ y = 1
Hence, x = 3, y = 1 is the solution of the given system.
