Answer:
<u>Valterri's unit rate for Day 1 in minutes per lap is 3.5 or 3 minutes and 30 seconds.</u>
Step-by-step explanation:
Let's find Valterri's unit rate for Day 1 in minutes per lap, this way:
Total time = 1 hour, 13 minutes, and 30 seconds
Total time = 60 minutes + 13 minutes + 30 seconds
Total time = 73 minutes and 30 seconds
Total time = 73.5 minutes (30 seconds = 0.5 minutes)
Number of laps = 21
Valterri's unit rate for Day 1 in minutes per lap = Total time/Number of laps
Valterri's unit rate for Day 1 in minutes per lap = 73.5/21
<u>Valterri's unit rate for Day 1 in minutes per lap = 3.5</u>
Answer:
p = -8
Step-by-step explanation:
115.2 pounds of type A coffee were used.
<h3>What is the solution of the equation?</h3>
A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.
According to the question, the equations are,
5.50x + 4.40y = 762.30
x = 4y
So, the solution of the equation is obtained as follows:
5.50(4y) + 4.40y = 762.30
26.40y = 762.30
y = 762.30/26.40
y = 28.8 pounds
x = 4*28.8 = 115.2 pounds
Learn more about equations here:
brainly.com/question/2972832
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Answer:
Standard deviation = 4
Step-by-step explanation:
Given the following data;
Mean = 25
Variance = 16
To find the standard deviation;
Mathematically, standard deviation is given by the formula;
Substituting into the formula, we have;
Standard deviation = 4
Pretend that the first term is 21, and the fourth term is 126
<span>it's the same thing. </span>
<span>126 =21 +3d </span>
<span>105=3d </span>
<span>d=35 </span>
<span>21 =a1 +6(35) </span>
<span>21=a1 +210 </span>
<span>a1=-189</span>
