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natima [27]
3 years ago
12

A neighborhood swim club charges a one-time fee of $25 to join and $85 each month. If n is the number of months of membership an

d t is the total amount spent, then the variables are related by the equation t = 85n + 25. Which variable is the independent variable? A. There is no relationship between the variables. B. t C. n
Mathematics
1 answer:
zepelin [54]3 years ago
5 0
The independent variable would be n.
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Chap
4vir4ik [10]

Given:

Perimeter of a rectangle = 24

Width of the rectangle = x

Length of the rectangle = y

To find:

The length of the rectangle in terms of x and possible values of x and y.

Solution:

The perimeter of a rectangle is:

P=2(l+w)

Where, l is the length and w is the width.

Putting P=24,l=y,w=x, we get

24=2(y+x)

Divide both sides by 2.

12=y+x

12-x=y

The possible values of x are 1, 2, 3, 4, 6, 7, 8, 9, 10, 11 and the respective possible y values are 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1.

Therefore, the value of y in terms of x is y=12-x.

4 0
3 years ago
On his diet, John's weight dropped from 200 to 178 pounds. What was the percent of decrease in his weight ?
andrew11 [14]

Answer:

200-178=22

22/200*100=2200/200

2200/200=11

11%

3 0
3 years ago
What is equivalent to 6/2
jok3333 [9.3K]
So you do six divided by 2 which is 3
5 0
3 years ago
Read 2 more answers
In this problem we use the change of variables x=5s+tx=5s+t, y=s−ty=s−t to compute the integral ∫r(x+y)da∫r(x+y)da, where rr is
Mazyrski [523]

x=5s+t

y=s-t

The Jacobian matrix for this transformation is

\mathbf J=\dfrac{\partial(x,y)}{\partial(s,t)}=\begin{bmatrix}\dfrac{\partial x}{\partial s}&\dfrac{\partial x}{\partial t}\\\\\dfrac{\partial y}{\partial s}&\dfrac{\partial y}{\partial t}\end{bmatrix}=\begin{bmatrix}5&1\\1&-1\end{bmatrix}\implies\det\mathbf J=-6

The vertices in the x,y plane correspond to the following points in the s,t plane:

(x,y)=(0,0)\implies\begin{cases}5s+t=0\\s-t=0\end{cases}\implies(s,t)=(0,0)

(x,y)=(5,1)\implies\begin{cases}5s+t=5\\s-t=1\end{cases}\implies(s,t)=(1,0)

(x,y)=(6,0)\implies\begin{cases}5s+t=6\\s-t=0\end{cases}\implies(s,t)=(1,1)

(x,y)=(1,-1)\implies\begin{cases}5s+t=1\\s-t=-1\end{cases}\implies(s,t)=(0,1)

That is, the parallelogram \mathcal R is mapped to a square \mathcal R^* in the s,t plane, so

\displaystyle\iint_{\mathcal R}x+y\,\mathrm dA=\iint_{\mathcal R^*}((5s+t)+(s-t))|\det\mathbf J|\,\mathrm ds,\,\mathrm dt

=\displaystyle6\int_{t=0}^{t=1}\int_{s=0}^{s=1}6s\,\mathrm ds\,\mathrm dt=18

6 0
3 years ago
Mr. Hedde requires 60% to pass. If someone gets 160 points and falls short by 20
olganol [36]

Answer:

300 points

Step-by-step explanation:

160 + 20 = 180

180 would have been 60 percent

180/60 = 300

300 would have been needed to pass

Proven by:

300 * 60% = 180

180 - 20 = 160

7 0
3 years ago
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