David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?​

The Range of f(x) → Range ∈ [- 4, ∞).

We have a graph of a function f(x) given.

We have to determine the range of f(x).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

According to the question -

We can see that the function is defined for all values of x (assuming that the graph will continue after the arrows at the top). Hence, the domain of f(x) will be set of all real numbers.

Now, the graph curves back after reaching a minimum value of  -4. Therefore, the set of all possible values f(x) takes belongs to the set

[-4, ∞).

Hence, the Range of f(x) → Range ∈ [- 4, ∞)

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Answer:

21.5

Step-by-step explanation:

h(t) = -16t^2 + 35t + 5,

Let t = 1.5

h(1.5) = -16 (1.5)^2 + 35(1.5) + 5

        =-16 *2.25 +52.5+5

      = -36+57.5

      = 21.5

Answer: 1 quarter, 1 dime and 1 nickel.

Step-by-step explanation:

Quarter: 25 cents.

Dime: 10 cents

Nickel: 5 cents

25 + 10 = 35

35 + 5 = 40

Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.

Answer:

13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

m² + 9n² + 4m - 12n - 6mn + 4

Step-by-step explanation:

18b

(2+m-3n)² = (2+m-3n)(2+m-3n)

= 2*2 + 2*m + 2*-3n + m*2 + m*m + m*-3n - 3n*2 -3n*m - 3n*-3n

= 4 + 2m - 6n + 2m + m² - 3mn - 6n  - 3mn + 9n²

= m² + 9n² + 2m + 2m  - 6n - 6n - 3mn - 3mn + 4

= m² + 9n² + 4m - 12n - 6mn + 4

Answer:

(2+m-3n)(2+m-3n)

Step-by-step explanation:

Here's solution:

(2+m-3n)(2+m-3n)

4 + 2m - 6n + 2m + m^2 - 3mn - 6n - 3mn + 9n^2

4 + 4m - 12n + m^2 - 9mn + 9n^2

I hope this is right, I'm a bit tired.

Hope this helps, and have a good day :)!

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4

Answer:

(7, 3)

Step-by-step explanation:

2x - y =11                         2x-y =11

-2(x+3y)= (-5)-2              -2x-6y= 10

Then you will cross out the x, and add.

-7y =21 divide 7

y=-21/7 or y=3

Then you plug in the y where the y is and solve

2x-(3) = 11

2x = 14

x=7

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.

Given,

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.

The Average rate of change in T(d) for the interval  d = 4 and d = 10 is 0.

We have to find which statement is true.

Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.

Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.

Thus The correct option is A.

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Answer:

2/5 [tex]cm^2[/tex]

Step-by-step explanation:

To find the area of a rectangle do A = bh

When you substitute 4/6 for base and 3/5 for height  it will be A = 4/6 x 3/5

This means the area is 2/5

Answer:

2/5 cm^2

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

A = 4/6 * 3/5

  Rewriting

  =4/5 * 3/6

   = 4/5 *1/2

  = 2/5 cm^2

Answer: B

Step-by-step explanation:

Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.

So looking at he picture we can see that, (x+16) + (6x-4) = 180.

So your answer is B.

Answer:

Hey There!! The answer to this is B: angle P + angle R = 180

angle O + angle Q = 180

Here, they are only interested in R, therefore the first equation will be enough to solve for R.

angle P + angle R = 180

y + (3y + 8) = 180

We need to solve for y, so put that y value in (3y + 8) to find angle R.

y + (3y + 8) = 180

y + 3y + 8 = 180

We add the y terms: 4y + 8 = 180

Subtract 8 from both sides: 4y = 180-8 = 172

Divide both sides by 4

y = 172/4 = 43

Angle R = 3y + 8

Put y = 43 and calculate R.

R = 3(43) + 8

R = 137

Therefore, the measure of angle R is B:

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

[tex]h = \sqrt{a^{2}+ b^{2}[/tex]

[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

Answer:

x = -15

Step-by-step explanation:

x - 15 = -30

add 15 to both sides

x = -15

Answer:

The area can be expressed as: [tex]\pi r^2+lw[/tex].

We have l=10, because 18-2(4)

We have w=8, as given.

Thus, the rectangle area is 80.

There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume

80+50.24=130.24.

Rounded to 1 decimal place that is 130.2

Hope this helps :)

Answer:

the probability if that is what you are asking for is 1/3 of winning a prize

Step-by-step explanation:

Answer:

1/3 chance per each person of winning a prize

Step-by-step explanation:

Answer:

[tex]4 \sqrt{6}[/tex]

Step-by-step explanation:

The question is not properly presented and has mission options; however, the solution is as follows

Given

[tex]\sqrt{96}[/tex]

Required

Simplify

[tex]\sqrt{96}[/tex]

Start by expanding

[tex]\sqrt{16 * 6}[/tex]

The expression can be split to:

[tex]\sqrt{16} * \sqrt{6}[/tex]

Take positive square root of 16

[tex]4 * \sqrt{6}[/tex]

[tex]4 \sqrt{6}[/tex]

The expression cannot be further simplified

Answer:

Amount at 15%=$2,411

Amount at 14%=$7,405

Step-by-step explanation:

let

x= the amount at 15% rate.

y=amount at 14% rate

y= x times 3 plus $172

y= 3x + $172 (1)

x times 15% plus y times 14% equals a return of $1,398.35 after one year

0.15x + 0.14y= $1,398.35 (2)

Recall,

y= 3x + $172

Substitute (1) into (2)

0.15x + 0.14y= $1,398.35

0.15x + 0.14(3x+172)=1398.35

0.15x + 0.42x + 24.08=1398.35

Collect like terms

0.15x + 0.42x=1398.35 - 24.08

0.57x=1374.27

Divide both sides by 0.57

x=2,411

x=$2,411

Find y

y= 3x + $172

=3(2,411) + 172

=7,233+172

=7,405

y=$7,405

Amount at 15%=$2,411

Amount at 14%=$7,405

Check:

$2,411*0.15=$361.65

$7,405*0.14=$1036.70

Total=$361.65 + $1036.70

=$1,398.35

Answer: please find the answer in the explanation.

Step-by-step explanation:

1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.

2.) A person running down a field to score a touchdown. Not enough information.

3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.

4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.

5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.

6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.

Answer:

x = 18

Step-by-step explanation:

Because the 2 lines are parallel we can use same side interior theorem to find  x

This would mean the equation is 6x + 30 + 2x + 6 = 180

When you solve that this would be 18

Answer:

x = 18

Step-by-step explanation:

→ Utilise the fact that interior angles add up to 180

6x + 30 + 2x + 6 = 180

→ Simplify

8x + 36 = 180

→ Minus 36 from both sides to isolate 8x

8x = 144

→ Divide both sides by 8 to isolate x

x = 18

*the table being referred to is attached below

Answer:

The table does not show a proportional relationship between variable g and h.

Step-by-step explanation:

For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.

Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.

Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]

Answer: A, B and, C are incorrect, what is D?

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to the choices given, only statements 1 and 3 are correct!

The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.

The correct statement about the shaded triangles to explain the congruency is;

ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.

This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.

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Answer:

The radius is 1/6 m

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

1/162 * pi = 4/3 pi r^3

Divide each side by pi

1/162  = 4/3 r^3

Multiply each side by 3/4

3/4 *1/162  =3/4* 4/3 r^3

1/216 = r^3

Take the cube root of each side

(1/216)^ 1/3 = (r^3)^1/3

1/6 = r

The radius is 1/6 m

Answer: C) 16

Step-by-step explanation:

A Hexagon has 6 Sides and Since the perimeter is 24, each side has a length of 4.

4 * 4 = 16

we need a picture of the weather data

16.7%

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

Answer:

The answer is 16.7%

Step-by-step explanation:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped

Answer: -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer: Rises to the left and falls to the right

Step-by-step explanation:

Use the degree and the leading coefficient to determine the behavior.

There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.

Answer:

Side DA

Step-by-step explanation:

The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.

6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)

That's your answer!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

The side of the quadrilateral ABCD has a length equal to 10 is AD.

Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:

[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]

The side of the quadrilateral ABCD has a length equal to 10 is AD.

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Option 4 is correct, Teresita worked 15 hours during the second week.

Given that Teresita worked [tex]1\frac{1}{2}[/tex]  times the number of hours during the second week.

Therefore, she worked 1.5x hours during the second week.

The total number of hours she worked during the two weeks is given as 25.

So we can set up the equation:

x + 1.5x = 25

Combining like terms, we have:

2.5x = 25

Dividing both sides of the equation by 2.5, we get:

x = 25/2.5

x = 10

Therefore, Teresita worked 10 hours during the first week.

To find the number of hours she worked during the second week, we can substitute this value back into the equation:

1.5x = 1.5 × 10

= 15

Therefore, Teresita worked 15 hours during the second week.

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