Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.
Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.
Then, explain when it might be helpful to write the equation in these forms.
a. c=18.9-2.1r. b. r= -10÷2c+9
we have that
The linear equation in standard form is

where
c is the pounds of chicken
r is the pounds of ribs
step 1
Solve the equation for c
That means ----> isolate the variable c
Subtract 1.89r both sides

Divide by 0.90 both sides

Simplify

step 2
Solve the equation for r
That means ----> isolate the variable r
Subtract 0.90c both sides

Divide by 1.89 both sides

Simplify

therefore
The equation
is equivalent
The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.
The standard deviation<u> </u><u>INCREASES</u>
Step-by-step explanation:
Standard deviation is used to show how the points of the data deviate from the mean. The formulae for deriving standard deviation is attached. As seen from the formulae, the greater the variance of the data from the mean, the higher the Standard Deviation.
The mean of the given data points is $103.4. $450 is way off from this mean meaning that there is a large variance in this data point.
Answer:
-9
Step-by-step explanation:
-9+6=-3
Answer:
a) <u>∡ADC = 270°</u>
b) <u>∠DAE = 38°</u>
Step-by-step explanation:
Using Inscribed Angle Theorem :
- ∡ADC = 2 x ∠ABC
- ∡ADC = 2 x 135°
- <u>∡ADC = 270°</u>
Similarly :
- ∠DAE = 1/2 x ∡DE
- ∠DAE = 1/2 x 76°
- <u>∠DAE = 38°</u>