Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each does he have . SHow your work

Answers

Answer 1
Answer: x-\ nickels\ny-\ quarters\n\n0,05x+0,25y=8,85\nx+y=49\ \ \ \ x=49-y\n\n\0,05(49-y)+0,25y=8,85\n2,45-0,05y+0,25y=8,85\n0,2y+2,45=8,85\ \ \ | subtract\ 2,45\n0,2y=6,4\ \ \ | divide\ by\ 0,2\ny=32\n\nx=49-32=17\n\nHe\ had\ 17\ nickels\ and\ 32\ quarters.

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you began membership in a new health and fitness club which has access to a dietician and personal trainer. They help you develop a special eight-week diet and exercise program. The data in the following table represents your weight, w, as a function of time, t, over an eight-week period. Time (weeks) 0 1 2 3 4 5 6 7 8 Weight (lb) 150 144 143 141 140 137 137 132 129. If you lost 13 pounds in the first five weeks, what is the average rate of change of weight with respect to time over the first five weeks of the program?

Answers

Time (weeks) 0     1     2      3      4    5      6      7     8 
Weight (lb) 150 144 143 141 140 137 137 132 129

Change in time (weeks) =      5 - 0      =   5    = -0.3846 
Change in weight (lbs)       137 -150      -13

The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.

Answer:

On e2020 the correct answer is D -2.6 pounds per week

Step-by-step explanation:

I just took the test.

The one to one functions G and H are defined as followG={(-8,1),(1,5),(4,-5)(8,-9)}
H(x)=3x+4
find the following 
g^-1(1)=
h^-1(x)=
(h^-1oh)(-2)=

Answers

G=\{(-8,1),(1,5),(4,-5),(8,-9)\}\n\n\Rightarrow\ \ \ G^(-1)=\{(1,-8),(5,1),(-5,4),(-9,8)\}\ \ \ \Rightarrow\ \ \ g^(-1)(1)=-8\n\nH(x)=3x+4\ \ \ and\ \ \ D_H=R\n\n 3x=H(x)-4\ \ \ \Rightarrow\ \ \ x= (H(x)-4)/(3)\n\nh^(-1)(x)= (x-4)/(3) \ \ \ and\ \ \ D_(h^(-1))=R\n\n\n(h^(-1)\circ h)(-2)=-2\n\nh^(-1)\bigg {(}h(-2)\bigg{)}=h^(-1)\bigg {(}3(-2)+4\bigg{)}=h^(-1)(-2)= (-2-4)/(3) = (-6)/(3) =-2

What is the fractional equivalent of 225%?

Answers

It is 2 1/4 , you have 200% which is equivalent to 2 and 25% which is one quarter of 100%
You would start out by putting 225 over 100 then simplifying from there. You would end up getting 9/4. As a mixed number that would be 2 and 1/4.

Two triangles, Triangle 1 and triangle 2, are similar. Is it a Dilation?

Answers

Answer:

You can't be sure without an image.

Step-by-step explanation:

If one moves left or right, that's a horizontal translation.

If one moves up or down, it's a vertical translation.

A dialation is when the image gets smaller or bigger.

How do you solve the problem 2x+3y=25,4x-y=15 for substitution

Answers

Answer:

X=5 Y=5

Step-by-step explanation:

If a bottle of medication must be stored at a temperature cooler than 45 degrees f, what is the Celsius temperature at which the medication must be stored

Answers

We must first convert this degrees Farenheit to degrees Celscius by using the available formula according to its conversion. Farenheit to Celscius is solved by the formula using: (°F - 32) multiplied by 5/9 =°C. Then, substitute the values in the formula from the given of 45 degrees Farenheit which answer would be 7.2°C.