Answer: 8 skates
Step-by-step explanation:
Given that:
Skate rental = $3
Let number of skates rented by cotters = x
Hence, amount paid by cotters = 3x
The Moores paid $6 more
Moores amount = 3x + 6
Combined amount paid = 42
3x + 3x + 6 = 42
6x + 6 = 42
6x = 42 - 6
6x = 36
x = 36 / 6
x = 6
Hence, amount spent by the Moore's:
3x + 6
3(6) + 6 = 18 + 6 = $24
Cost per skate rental = $3
Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates
Answer:
1. Group C; 2. Group B; 3. Group D; 4. Group A
Step-by-step explanation:
These equations are in the form
, where v₀ is the initial velocity and h₀ is the initial height.
The first equation has no value for v₀ and a value of 19 for h₀. This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters. This makes it group C.
The second equation has a value of 50 for v₀ and no value for h₀. This means the initial velocity is 50 and there is no initial height. This makes it group B.
The third equation has no value for v₀ and a value of 50 for h₀. This means there is no initial velocity, so the ball is being dropped, and the initial height is 50. This makes it group D.
The fourth equation has a value of 19 for v₀ and no value for h₀. This means the initial velocity is 19 and there is no initial height. This makes it group A.
The vectors are linearly independent if and only if k ≠ -11
<h3>How to solve the vector</h3>
In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.
Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.
In this question,
We have 2v - 3w
We have to multiply 2 by the values of v and multiply 3 with the values of w
this would produce
[2,6,8]-[6,6,12]
subtract w from v
= [-4, 0, -4]
We u as -1, 0 and 10+k
It is not possible to -1 = 10 + k
-11 = k
Hence we have to conclude that they are linearly independent if and only if k ≠ -11
Read more on vectors here:
brainly.com/question/22363471
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9514 1404 393
Answer:
-4
Step-by-step explanation:
In a linear equation, the terms "unit rate", "rate of change", "constant of proportionality", and "slope" all refer to the coefficient of x (the independent variable).
Here, the coefficient of x is -4.
The slope is -4.
_____
<em>Additional comment</em>
Strictly speaking the "constant of proportionality" only refers to the x-coefficient (k) when the equation is of the form ...
y = kx . . . . . with no added constant
"Slope", "unit rate", and so on, can also refer to the x-coefficient (m) when the equation has a non-zero y-intercept (b):
y = mx + b