A pot of boiling soup with an internal temperature of 100° Fahrenheit was taken off the stove to cool in a 75°F room. After fifteen minutes, the internal temperature of the soup was 95°F.

To the nearest degree, what will the temperature be after 2 and a half hours?

Answer:

slope = 1

y intercept = 1

x intercept = 1

equation of line = x + y =1

Step-by-step explanation:

The equation of line is:

(x/a) + (y/b) =1

here: a=1 and b=1

so putting the value, we get: slope = 1

y intercept = 1

x intercept = 1

equation of line = x + y =1

Answer:

y=x+2

Step-by-step explanation:

gradient is 1

y intercept is 2

1) Equivalent fractions are proportional ones. They increase or decrease at a constant rate. Checking those fractions we can note that:

So, 9/12 is equivalent to 3/4 for 9/12 is a simplified version of 3/4.

Answer:

the correct answer is 15011.428571

Step-by-step explanation:

=525.4 ÷ 0.035

=15011.428571

hope this works out!!!!

The division of decimal values 525.4 ÷ 0.035 = 15011.428571........

To divide decimals we make them integers by multiplying the numerator and denominator by 10ⁿ, where n is the number of decimal places in the numerator or denominator, whichever has more.

Then we follow the steps of normal numeric divisions.

In the question, we are asked to divide the equation 525.4 ÷ 0.035.

We can write this as 525.4/0.035.

Now, 0.035 has more decimal places, with n = 3, where n is the number of decimal places.

Thus, we multiply the numerator and denominator by 10³ = 1000.

Therefore, 525.4/0.035

= (525.4*1000)/(0.035*1000)

= 525400/35

= 15011 3/7

= 15011.428571........

Thus, the division of decimal values 525.4 ÷ 0.035 = 15011.428571........

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Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

Answer:

y-coordinate is decreasing at the rate of \(\dfrac{1}{2}\) unit/sec.

Step-by-step explanation:

Given that:

The curve of the particle \(x^2y = 1\)

Then:

\(y = \dfrac{1}{x^2}\)

Taking the differential of y with respect to t

\(\dfrac{dy}{dt}= \dfrac{dx^{-2}}{dx} * \dfrac{dx}{dt}\)

\(= -2x^{-3} \dfrac{dx}{dt}\)

At (2, 1/4)

\(\dfrac{dx}{dt} = 2\)

This implies that:

\(\implies \dfrac{dy}{dt} = -\dfrac{2}{8}(2)\)

\(\dfrac{dy}{dt} = -\dfrac{1}{2} \ \ unit/sec\)

Thus, y-coordinate is decreasing at the rate of \(\dfrac{1}{2}\) unit/sec.

Answer:

3, 6, 9

Step-by-step explanation:

an=3n

a(1)=3(1)= 3

a(2)=3(2)= 6

a(3)=3(3)= 9

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

Answer:

-8

Step-by-step explanation:

47 - 55

= 47 + (-55)

= -8

Hope it helps ⚜

As a result, we require 0.0833 cups (or roughly 4.4 teaspoons) of sugar for every cup of vanilla.

To tackle proportionality-related mathematical problems, one can apply the unitary method. It is predicated on the premise that if we know the relationship between two quantities for one unit of measurement, we can utilise that relationship to find the relationship between the same two quantities for any other unit of measurement. In real-world applications, the unitary technique is frequently employed when determining the value of one quantity based on the value of another quantity where the two quantities are proportionally connected. For instance, if we know that 3 apples cost $2, we may use the unitary technique to calculate the price of 5 apples.

given

We must change both measures to the same unit in order to determine the unit rate in teaspoons per cup.

16 tablespoons make up a cup, while 3 teaspoons make up a tablespoon. So:

4.3 tablespoons per teaspoon

13 cup equals 13 times 16 tablespoons, or 5 1/3 tablespoons.

Now that we have the unit rate:

Teaspoons per cup are calculated as (4 teaspoons) / (5 1/3 tablespoons).

Teaspoons in a cup are equal to (4/3 tablespoons) / (16 tablespoons in a cup).

Teaspoons per cup are calculated as follows: (4/3)/16 = 0.0833 (rounded to four decimal places)

The unit rate in teaspoons per cup is therefore roughly 0.0833.

As a result, we require 0.0833 cups (or roughly 4.4 teaspoons) of sugar for every cup of vanilla.

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Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer:

6

Step-by-step explanation:

3 odd numbers x 2 4-sided shapes = 6

Given:

The given points are A(-6x,4y) and B(-2x,-4y).

Required:

We need to find the midpoint D.

Explanation:

D is the midpoint of the line segment AB.

Consider the endpoints of the line segment AB.

Consider the midpoint formula.

Final answer:

The midpoint is D(-4x,0).

Multiply the price by 0.09, then add that number to the price

47.25 x 0.09 = 4.25

47.25 + 4.25 = 51.50

Answer:

\( d. 351.9 {cm}^{2} (ans)\)

Step-by-step explanation:

Given,

Radius of the cylinder = 4cm

Height of the cylinder = 10 cm

Therefore,

Surface area of the cylinder

\( = 2\pi r(r + h)\)

\( = 2 \times 3.15 \times 4(4 + 10) {cm}^{2} \)

\( = 351.86 {cm}^{2} \)

\( = 351.9 {cm}^{2} (ans)\)

Mrs. Horwitz needs 670 square inches of wrapping paper to wrap the present.

We have,

To figure out how much wrapping paper Mrs. Horwitz needs, she should find the surface area of the rectangular prism box.

The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Given dimensions:

Length (l) = 13 in

Width (w) = 8 in

Height (h) = 11 in

Plugging these values into the formula, we get:

Surface Area = 2(13)(8) + 2(13)(11) + 2(8)(11)

Surface Area = 208 + 286 + 176

Surface Area = 670 in²

Therefore,

Mrs. Horwitz needs 670 square inches of wrapping paper to wrap the present.

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Answer: B. 24 - 24 x r = 4.32

Step-by-step explanation:

The percent tip can be found by using the formula: tip = bill x (tip percentage in decimal form)

In this case, Diego's bill was $24 and the tip he paid was $4.32. To find the tip percentage, we can divide the tip by the bill:

tip / bill = 4.32 / 24 = 0.18

To convert the decimal to a percentage, we can multiply the decimal by 100: 0.18 x 100 = 18%

The tip percentage is 18%

So, option B. 24 - 24 x r = 4.32 is the equation that will help find the percent tip that Diego gave the server.

Answer:

√115

Step-by-step explanation:

14²= 9² + x²

x= √14²-9² = √115

Step-by-step explanation:

using Pythagores theorem

h²=p²+b²

14²=p²+9²

p²=196-81

p=√115

p=10.72

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

Step-by-step explanation:

Given,

Total no. of cards = 52

No. of 2 of spades cards = 1

Therefore,

Probability of getting 2 of spades

\( = \frac{no. \: of \: required \: outcomes}{total \: outcomes} \)

\( = \frac{1}{52} (ans)\)

Answer: -6

Step-by-step explanation:

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

2 months-

Step-by-step explanation:

verizon: $40+82+82=$204

Tmobile:$98+53+53+$204

Answer:

59.5 here 4 minute late but i hope it helps

Step-by-step explanation:

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

To find the equation of the line passing through two points, we need to use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line, and (x1, y1) is one of the given points.

First, we can find the slope of the line using the two points:

m = (y2 - y1) / (x2 - x1)

m = (-3 - 1) / (4 - (-6))

m = -4/10

m = -2/5

Now, we can use one of the points and the slope to write the equation of the line:

y - y1 = m(x - x1)

y - 1 = (-2/5)(x - (-6))

y - 1 = (-2/5)(x + 6)

y - 1 = (-2/5)x - (2/5) * 6

y - 1 = (-2/5)x - 12/5

y = (-2/5)x - 12/5 + 1

y = (-2/5)x - 12/5 + 5/5

y = (-2/5)x - 7/5

Therefore, the equation of the line that passes through (-6, 1) and (4, -3) is y = (-2/5)x - 7/5.

Answer: y = 5x + 31

Step-by-step explanation:

You have to find the slope which is change in y over change in x. That would be (-6-4)/(1-3)    

that simplifies down to 5.

You equation for a linear equation is y=mx+b with m=slope and b=y-intercept

Take a point and plug in the values for x and y. I'm going to use (-6, 1) but it doesn't really matter

1=5(-6)+b

1=-30+b

+30 +30

31 = b

Now you have everything for your equation so when you put it all together, it is y=5x+31

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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