Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)

A.) 241.54 degrees

B.) 132.56 degrees

C.) 272.33 degrees

Answer:

9[tex]x^{2}[/tex]-3x-12

9[tex]x^{2}[/tex]+6x-7-9x-5

(Group liked terms)

9[tex]x^{2}[/tex]+6x-9x-7-5

( subtract the numbers ) -7-5= -12

9[tex]x^{2}[/tex]+6x-9x-12

( add similar elements ) 6x-9x=-3x

9[tex]x^{2}[/tex]-3x-12

Step-by-step explanation:

Answer:

The initial number of gallons of gas that were in the car

Step-by-step explanation:

The gallons left needs a starting value.  16 is the initial gallons of gas, from which gas consumed is subtracted.

Answer:

−2x+11y+2

Step-by-step explanation:

5y+5−2x−2+6y−x0

=5y+5+−2x+−2+6y+−1

Combine Like Terms:

=5y+5+−2x+−2+6y+−1

=(−2x)+(5y+6y)+(5+−2+−1)

=−2x+11y+2

Answer:

113

Step-by-step explanation:

57+56= 113

   [tex]57\\56\\[/tex]

+-----

  113

7+6 = 13

carry over the 1

5+5+1 = 11 so you get 113

Answer:

This is a function and it's because there's only one input for every output.

Step-by-step explanation:

Note: Although 5 and 1 both point to the same number this doesn't take away the validity of the function. :)

Answer:

The number of pennies in the bank is 42

Step-by-step explanation:

Solution:

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in a piggy bank

Let 3x be the number of quarters in the piggy bank

To find: number of pennies

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

number of pennies = 14x = 14(3) = 42

Thus the number of pennies in the bank is 42

Answer:

45 divided by 2 so it's 22.5

Step-by-step explanation:

Answer:

probably 4 times since it is not 100% accurate I guess

Answer: You have 500milliliters remaining.

Step-by-step explanation:

1 liter equals 1000 milliliters, so half of that or 0.5 of it would be 500 milliliters.

Answer:

26ft

Step-by-step explanation:

40÷8=5

5+5+8+8=10+16=26

Answer:

26ft

Step-by-step explanation:

If area is 40ft, and the width is 8ft, then the length must be 5ft as 8 times 5 = 40

If the length is 5, then the perimeter is 8+8+5+5 = 26ft

Answer:

hi i just want to be given an answer sorry

Answer:

Amplitude: 3

Period: 2π

Step-by-step explanation:

The equation of a line u parallel to given equation of a line is y=1/7 x + 5.

Given that, the equation of line t is y=1/7 x-2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

We know that, standard form of equation of a line is y=mx+c

Now, compare y=1/7 x-2 with y=mx+c, we get m=1/7

The slope of a line parallel to given line is m1=m2

So, slope of a parallel line is m=1/7

Put m=1/7 and (x, y)=(7, 6) in y=mx+c, we get

6=1/7 (7)+c

⇒ c=5

Substitute m=1/7 and c=5 in y=mx+c, that is

y=1/7 x + 5

Therefore, the equation of a line u parallel to given equation of a line is y=1/7 x + 5.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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Answer:  Y= -1/7 x + 7 is the correct answer.

Answer:

Step-by-step explanation:

See attached image

Step-by-step explanation:

V=d/t; where;

V: speed (miles per hour)

d: distance (miles)

t: time (hour)

t=d/V=200/40=5 hours=300 min= 18 000 sec.

Answer:

the journey takes 5 hours

Step-by-step explanation:

time taken = distance / time taken

                  = 200 / 40

                  = 5 hours

Answer:

The sum of the roots is 13 and their product is 6.

Step-by-step explanation:

Use Vieta's Theorem

x1+x2=-b/a which is 39/3=13

x1*x2=c/a which is 18/3=6

Therefore, the sum of the roots is 13 and their product is 6.

Answer:

13 and 6

Step-by-step explanation:

Answer: Line 2

Step-by-step explanation:

Look at the dots on the coordinate grid. The line of fit is a line around those dots, so in this case, the majority of the dots around line 2.

Answer:

x=-8, x=1/4, x=5.

Step-by-step explanation:

The degree is 3, so there must be 3 roots.

factor: x^2(4x-1)+3x(4x-1)-40(4x-1)=0

=(4x-1)(x^2+8x-5x-40)=0

=(4x-1)(x+8)(x-5)=0

x=1/4, -8, 5

Answer:

5/11

Step-by-step explanation:

first change the fraction to where they have common denominators=4/5=8/10

then add 3/10 and 3/10=11/10=1 1/10

after u divide 1 1/10 by 1/2=5/11

Answer:

(a) Proof explained below

(b) The two lines are parallel

Step-by-step explanation:

(a) In the second equation express [tex]x[/tex] in terms of [tex]y[/tex] to get:

[tex]x=2y-8[/tex]

Then, substitute [tex]x[/tex] for [tex]2y-8[/tex] in the first equation to get:

[tex]3(2y-8)-6y=-12[/tex]

Open parentheses using the distributive property ([tex]a(b-c)=ab-ac[/tex]) which results in:

[tex]6y-24-6y=-12[/tex]

Combine like terms to reach:

[tex]-24=-12[/tex], which is not true. Therefore, for any values of [tex]x[/tex] and [tex]y[/tex], the systems of equations will have no solutions.

Since the two lines have no solutions, that means that they are parallel.

Hope this helps :)

C?

Step-by-step explanation:

I haven't done this type of math in a minute so I'm sorry if it isn't the answer

Answer:

B is the correct answer

have a nice day

Answer:

x•0.5

Step-by-step explanation:

half of the number for that week so for 16x0.5=8 + 16 = 24x0.5= 12+ 24= 36 and so on

Answer:

Slope = 4

Step-by-step explanation:

(0,0), (1,4)

[tex]Slope= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{4-0}{1-0}=\dfrac{4}{1}\\\\\\=4[/tex]

Answer:

Option D

Step-by-step explanation:

9x=7x+14

9x-7x=14

2x=14

x=7

The equation is 2.5x + 2y - 2 = 0.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

He bought 2.5 pounds of apples that are x dollars a pound.

And 2 bags of lettuce for y dollars each.

The total cost is $2.

The equation of this.

He bought 2.5 pounds of apples that are x dollars a pound.

Then the expression is 2.5x

And 2 bags of lettuce for y dollars each.

Then the expression is 2y

The total cost is $2.

Then the expression will be

    2.5x + 2y = 2

2.5x + 2y - 2 = 0

Thus the equation is 2.5x + 2y - 2 = 0.

More about the linear system link is given below.

https://brainly.com/question/20379472