Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Answer:
y = 6 + 4x
After 4 years, the tree would be 22 ft tall.
Step-by-step explanation:
Hi there!
Let x = the number of years that pass
Let y = the height of the tree (ft)
We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.
Height of tree = 6 feet + 4 feet × number of years that pass
y = 6 + 4x
To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:
y = 6 + 4(4)
y = 6 + 16
y = 22
Therefore, the tree would be 22 ft tall.
I hope this helps!
If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line. Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary. Example: Graph the quadratic inequality.
P(2 aces) = (1/13)^2
P(2 kings) = (1/13)^2
P(king and ace) = 8C2/52C2 - 2(1/13)^2 = 0.0152
The variable which is a categorical variable among the answer choices as in the task content is; Population of the state.
<h3>What is the categorical variable among the answer choices?</h3>
Categorical variables represent types of data which may be divided into groups. Instances of categorical variables include but are not limited to race, sex, age group, and gender.
It therefore follows from the traditional definition of categorical variables that the answer choice which represents a categorical variable is; Population of the state.
Read more on categorical variables;
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