A convenience store sells a coffee mug that comes

with a special price for refills using the mug. The

equation C = 2.3r + 6.5 represents the cost C, in

dollars, of the mug and r refills. What is the cost of

the mug?

Answer:

.1

Step-by-step explanation:

Answer:

Point Q is represented by the ordered pair (-2,9)

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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The number of times that the clock was skipping every 30 minutes from Friday noon to Monday 6 pm is; 3 seconds

We know that from time conversion;

1 day = 24 hours

1 hour = 60 minutes = 2 × (30 minutes)

1 day = 24 hours × 2 × (30 minutes)

1 day = 48 × (30 minutes)

Thus, there are 48 times of 30-minutes in a day. However on Friday, we start counting at noon, which is half of the day.

Thus, on Monday, the mark is only up to 6 pm, which is three-fourths of the day. Thus;

Friday = 48 × (3/4)  = 24

Saturday = 48

Sunday = 48

Monday = 48 × (3/4)  = 36

Total times = 24 + 48 + 48 + 36 = 156

Thus, it means that there was 156 times of  30-minutes that have passed during the time period.

x = 468 seconds ÷ 156

x = 3 seconds  

Therefore, the clock was skipping 3 seconds every 30 minutes from Friday noon to Monday 6 pm.

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       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

If  a customer buys 2 cantaloupes and p pounds of potatoes on friday from the local farmers' market, the total cost equation would be A. C = 0.63p + 7.

Equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation also often contain an algebra. Algebra is used in maths when you do not know the exact number in a calculation.

Based from the question above, we don't know the exact number of potato that the customer bought. We only know that the customer buys p pounds of potatoes.

Potato price = $0.90

on Friday, the potato price is (30% discount)

= 0.90 - (0.90 * 30%)

= $0.63

Since the customer buys for p pounds of potatoes, therefore the total cost of potatoes

= $0.63 * p

= 0.63p

From the question above, we know that the customer buys 2 cantaloupes.

cantaloupes price = $3.50 each

The total cost for cantaloupes

= 2 * $3.50

= $7

Now, let's put it into the total cost equation to find the answer from the multiple choice.

Total cost (c) = 0.63p + 7

Therefore, the answer is A.

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T ≥ 75

Javier score = T

Since Javier has to score at least 75 to keep his A, it means he has to score 75 and above.

This means that Javier's score (T) must be greater than or equal to 75

This can be represented mathematically as:

T ≥ 75

The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer:

-1/2

Step-by-step explanation:

Slope = rise/run

rise = -1

run = 2

Therefore, the slope = -1/2

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

B 27.73

Step-by-step explanation:

Use the Pythagorean theorem. It easiest to think of the distance between the two friends as a triangle in the rectangle. One side is 12ft and the other is 25ft.

12^2+25ft^2=769

The square root of 769 is 27.73

Answer:

t=1

Step-by-step explanation:

16-2t = t + 9 +4t

combine like terms

16-2t = 5t + 9

add 2t to both sides

16-2t+2t = 5t+9+2t

combine like terms

16=7t+9

subtract 9 from both sides

16-9=7t+9-9

combine like terms

7=7t

divide both sides by 7

t=1

Answer:

16=t+9+4t+2t

16=9+7t

16-9=7t

7=7t

t=1

Answer:

Y=X+3

Step-by-step explanation:

Answer:

4 + 13x

Step-by-step explanation:

add 8x and 5x which makes 13x. Since 4 doesn't have variable x in it then you can't add it to 13x.

Q1: Solutions: x = 2 and x = 4, Axis of symmetry: x = 3.

Q3: (x, y) = (-3, 5).

Q4: A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex.

Q5: \(x \in \mathbb{R}\)

Q6: \(y \in [-5, + \infty)\)

Graphically speaking, second order polynomials are represented by parabolas. In this question we must interpret the graphs to find all the required information.

The solutions to the graph are those values of x such that the graph goes through the x-axis and the axis of symmetry is a line that goes through the vertex ot the parabola and is perpendicular to the width of the curve.

Thus, the solutions to the graph are x = 2 and x = 4 and the axis of symmetry is x = 3. \(\blacksquare\)

The vertex is the extreme point of a parabola, which may be a minimum or a maximum, but never both. The vertex of the parabola is located at (x, y) = (-3, 5). \(\blacksquare\)

A parabola cannot have both a minimum and maximum point because it is only bounded by its vertex. \(\blacksquare\)

The domain of the function is defined by the set of x-values such that the function exists. Thus, the domain of the quadratic function is \(x \in \mathbb{R}\). \(\blacksquare\)

The range of the function is defined by the set of y-values such that the function exists. Thus, the range of the quadratic function is \(y \in [-5, + \infty)\).  \(\blacksquare\)  

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Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

Step-by-step explanation:

\(\frac{2}{15}\) + \(\frac{1}{3}\) = \(\frac{2 + 5}{15}\) = \(\frac{7}{15}\)

\(\frac{6}{7}\) - \(\frac{1}{3}\) = \(\frac{18-7}{21}\) = \(\frac{11}{21}\)

\(\frac{7}{15}\) , \(\frac{1}{2}\) , \(\frac{11}{21}\)

LCD (2, 15, 21) = 210

\(\frac{98}{210}\) , \(\frac{105}{210}\) , \(\frac{110}{210}\)

105 - 98 = 7

110 - 105 = 5 ⇒ \(\frac{11}{21}\) is closer to \(\frac{1}{2}\) ⇒ ( \(\frac{6}{7}\) - \(\frac{1}{3}\) ) is closer to \(\frac{1}{2}\)

Answer:

-1/5>-10/4

Step-by-step explanation:

In the negatives, If you take away the negative the lower number is more.

Think about a number line, if you are at -1/5, it means that you are 1/5 away from 0. If you are at -10/4, It means that you are 10,4 away from 0.

In conclusion, -1/5>-10/4

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Answer:The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Step-by-step explanation:

Answer:

4 different odd integers:  25, 45, 55, 85

Step-by-step explanation:

From the diagram we get that the given triangle is an isosceles triangle, then, its interior angles are 30°, x°, and x°.

Now, recall that the interior angles of a triangle add up to 180 degrees, then we can set the following equation:

Solving the above equation for x we get:

Answer: First option.

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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The value of the trigonometric ratios  are;

sin A = 2/5

cos A = 3/5

tan A = 2/3

It is important to note that there are six different trigonometric identities and their ratios.

We have;

From the diagram shown, we have;

sin θ = opposite/hypotenuse

cos θ = adjacant/hypotenuse

tan θ = opposite/adjacent

Then,

sin A = 6/15 = 2/5

cos A = 9/15 = 3/5

tan A = 6/9 = 2/3

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Answer:

156 M

Reasoning you add How far He has walked from his starting point

Step-by-step explanation:

Answer: 156 m here u go

Answer:

y=2x+6

Step-by-step explanation: