Answer:
b. 5:3
c. 20:12 or 20 cups of flour and 12 eggs
d. 10 cups of flour
e. 9 eggs
Step-by-step explanation:
b. take one point from each number line and simplify it (example 15:9) and simplify it so you get your ratio of (5:3)
c. our ratio for one batch of cookies is 5:3 so mulitply 4 on both sides to find 4 batches of cookies
d. look at your numberline that represents number of eggs, 6 aligns with the number 10 on the numberline that shows "flour in cups" making your answer 10 cups of flour.
e. same thing as the problem before look at your numberline that shows cups of flour (which in this problem its 15) and see where that aligns on the "number of eggs" numberline above.
Answer:
B. 0.159
A = taking history class
B= taking sociology class
P(A) = 0.051
P(B) = 0.32
A ÷ B = 
= 0.159 Rounded the the nearest hundredth
Answer:
(0, -2)
Step-by-step explanation:
The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)
Well, let's see. The problem gave you an ordered pair. In other words, you have an 'x' and a 'y' coordinate. All you need to do is put them into the equation.
Step-by-step explanation:
This means that instead of --
-3x - 3y = 125 + 5y = -20
We would have:
-3(-5)-3(-5) = 125(-5) + 5(-5) = -20
From here, you just simplify it into:
30 = -650 = -20
Since the values are not the same, the ANSWER is NO. The ordered pair does not satisfy the following system of equations.
Using the discriminant of a quadratic equation, it is found that the quadratic equation would have one repeated solution for m = -3.
<h3>What is the quadratic equation?</h3>
The quadratic equation is given as follows:
mx² + 12x - 12.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
For this problem, the coefficients are:
a = m, b = 12, c = -12.
Hence the discriminant is:
b² - 4ac = 144 + 48m.
We want it to be of 0, hence:
144 + 48m = 0
m = -144/48
m = -3.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
#SPJ1
