The first cup was $4. 25 each refill is $2. 25 and a bagel is $3. 15 and got two refills and $0. 50 discount how much was spent

Answer:

58 more

Step-by-step explanation:

First solve both values

3/4 of (or x) 120 = 90

2/5 x 80 = 32

90 - 32 = 58

Answer:

7 formas

Step-by-step explanation:

En la pastelería, se han preparado 30 pasteles.

Cada bandeja contendrá la misma cantidad de pasteles.

Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:

1, 2, 3, 5, 6, 10, 15, 30

Esto significa que podemos tener:

30 bandejas que contienen 1 bandeja cada una

15 bandejas con 2 tortas cada una

10 bandejas con 3 tortas cada una

6 bandejas con 5 tortas cada una

5 pasteles que contienen 6 pasteles cada uno

3 bandejas con 10 pasteles cada una

2 bandejas con 15 tortas cada una

Esto significa que hay 7 formas de colocar los pasteles.

We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

The Answer is 15.7 yd

Next, area of the deck is given by:

Substitute the values:

The answer is 78.5 yd^2

We are asked to perform the long division on the following expression.

Let us perform the long division.

So, we have

Quotient: q(x) = 19x^2 - 24x + 30

Remainder: r(x) = -32

Divisor: b(x) = x + 1

Therefore, the equivalent expression is

The 3rd option is the correct answer.

Answer:

She would have woken up at 6:20 AM

Step-by-step explanation:

Answer:

6:20am

Step-by-step explanation:

Hope this helps!

The Values of (a+b)ab are undefined.

Given that, a = 3an and db = -2We need to find the values of (a+b)

Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1

From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),

we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0

Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined

Therefore, the values of (a+b)ab are undefined.

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By applying the slope of a line and the y-intercept formula, the following are the answer to each table:

Slope of a line (gradient) shows the value or degree of incline on a straight line.

If it is known that two points are passed by a straight line, for example (x₁,y₁) and (x₂,y₂), then the gradient can be obtained by the formula:

m = ∆y/∆x

   = (y₂ - y₁) / (x₂ - x₁)

Y-intercept is the point where the line intersects the y-axis. It is the intersection of the function's graph with the y-axis when x = 0.

For every table, we pick 2 points to calculate the slope and y-intercept:

Table 1:

(x₁,y₁) and (x₂,y₂) = (-5,-4) and (0,-2)

m = (y₂ - y₁) / (x₂ - x₁)

   = (-2 + 4) / (0 + 5)

   = 2/5 (option S)

y-intercept is obtained when x = 0, thus (0,-2) is the y-intercept (option O)

Table 2:

(x₁,y₁) and (x₂,y₂) = (2,0) and (4,3)

m = (y₂ - y₁) / (x₂ - x₁)

   = (3 - 0) / (4 - 2)

   = 3/2 (option N)

y-intercept is obtained when x = 0, so we substitute this value into the formula given (x₂,y₂) = (4,3)

 m = (y₂ - y₁) / (x₂ - x₁)

3/2 = (3 - y₁) / (4 - 0)

  6 = 3 - y₁

  y₁ = -3

Thus, (0,-3) is the y-intercept (option K)

Table 3:

(x₁,y₁) and (x₂,y₂) = (1,-5) and (3,-3)

m = (y₂ - y₁) / (x₂ - x₁)

   = (-3 + 5) / (3 - 1)

   = 1 (option M)

y-intercept is obtained when x = 0, so we substitute this value into the formula given (x₂,y₂) = (3,-3)

m = (y₂ - y₁) / (x₂ - x₁)

1 = (-3 - y₁) / (3 - 0)

3 = -3 - y₁

 y₁ = -6

Thus, (0,-6) is the y-intercept (option B)

Table 4:

(x₁,y₁) and (x₂,y₂) = (1,3) and (3,1)

m = (y₂ - y₁) / (x₂ - x₁)

   = (1 - 3) / (3 - 1)

   = -1 (option A)

y-intercept is obtained when x = 0, so we substitute this value into the formula given (x₂,y₂) = (3,1)

m = (y₂ - y₁) / (x₂ - x₁)

-1 = (1 - y₁) / (3 - 0)

-3 = 1 - y₁

y₁ = 4

Thus, (0,4) is the y-intercept (option Q).

Table 5:

(x₁,y₁) and (x₂,y₂) = (1,3) and (2,6)

m = (y₂ - y₁) / (x₂ - x₁)

   = (6 - 3) / (2 - 1)

   = 3 (option P)

y-intercept is obtained when x = 0, so we substitute this value into the formula given (x₂,y₂) = (2,6)

m = (y₂ - y₁) / (x₂ - x₁)

3 = (6 - y₁) / (2 - 0)

6 = 6 - y₁

y₁ = 0

Thus, (0,0) is the y-intercept (option J)

Table 6:

(x₁,y₁) and (x₂,y₂) = (-6,6) and (0,3)

m = (y₂ - y₁) / (x₂ - x₁)

   = (3 - 6) / (0 + 6)

   = -1/2 (option F)

y-intercept is obtained when x = 0, thus, (0,3) is the y-intercept (option G)

Table 7:

(x₁,y₁) and (x₂,y₂) = (0,-5) and (2,0)

m = (y₂ - y₁) / (x₂ - x₁)

   = (0 + 5) / (2 - 0)

   = 5/2 (option E)

y-intercept is obtained when x = 0, thus, (0,-5) is the y-intercept (option L)

Table 8:

(x₁,y₁) and (x₂,y₂) = (0,1) and (3,3)

m = (y₂ - y₁) / (x₂ - x₁)

   = (3 - 1) / (3 - 0)

   = 2/3 (option H)

y-intercept is obtained when x = 0, thus, (0,1) is the y-intercept (option D)

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If a card is drawn from a "standard-deck" and then month of year is chosen, then the probability of selecting "face-card" and June month is 1/52.

The probability of getting a face-card from a standard-deck of 52 cards is 12/52, since there are 12 face cards (four jacks, four queens, and four kings) in the deck.

The probability of choosing June from the 12 months of the year is 1/12, since there are 12 months in a year and each month is equally likely to be chosen.

To find the probability of both events happening together (getting a face-card and June), we multiply the probabilities of each event:

P(face card and June) = P(face card) × P(June) = (12/52) × (1/12) = 1/52

Therefore, the probability of getting a face card and June is 1/52.

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3/4+6/7 = (21 + 24)/28 = 45/28

The answer is C. 45/28

Answer:

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

Answer:

2.23

Step-by-step explanation:

tune able to find the area you should x one side by the other side to find the area 2.23 * 2.23 equals close to 5 square feet

Answer:

d

Step-by-step explanation:

Answer:

14.7 inches

Step-by-step explanation:

the distance on the map between two cities =

147 ÷ 10 = 14.7 inches

1×2+2×3+⋯+k(k+1)+(k+1)(k+2)=3(k+1)(k+2)(k+3) is also true for n = k + 1. Thus, the equation holds for all positive integers by induction hypothesis.

Proof by induction is a mathematical technique that verifies the truth of an assertion for every positive integer. The following are the steps for proving an assertion by induction:

Induction Hypothesis (IH): Assume that the assertion is correct for all positive integers less than or equal to n. Use IH to show that the assertion is valid for n + 1. Therefore, the assertion is true for every positive integer n based on the principle of mathematical induction. Now, let's prove that 1×2+2×3+⋯+n(n+1)=3n(n+1)(n+2) is true for all positive integers using induction. To begin, let's prove the basis of induction. When n = 1, 1×2 = 2 on the left-hand side, and 3(1)(2)(3) = 18 on the right-hand side. Therefore, the basis of induction is true.

Next, let's assume that the statement is correct for all n ≤ k. It follows that,  1×2+2×3+⋯+k(k+1)=3k(k+1)(k+2)

By substituting n = k+1 into the formula, we obtain: 1×2+2×3+⋯+k(k+1)+(k+1)(k+2)=3(k+1)(k+2)(k+3)

Now we will try to write the left-hand side of this equation as 3(k + 1)(k + 2)(k + 3).

By adding (k+1)(k+2) to both sides of the equation, we obtain: 1×2+2×3+⋯+k(k+1)+(k+1)(k+2)=3k(k+1)(k+2)+(k+1)(k+2)

By factoring out (k+1)(k+2), the equation can be written as (k+1)(k+2)(3k+3)=(k+1)(k+2)3(k+1) which implies (k+1)(k+2)(3k+3)=(k+1)(k+2)(k+3)3=(k+1)(k+2)(3k+3)=(k+1)(k+2)(k+3)3

Therefore,  1×2+2×3+⋯+k(k+1)+(k+1)(k+2)=3(k+1)(k+2)(k+3) is also true for n = k + 1. Thus, the equation holds for all positive integers by induction hypothesis.

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The amount of water drank in 12 hours will be 180 ounces.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jim drinks 15 ounces of water each hour. The amount of water drank by Jim in 12 hours will be,

Amount of water = 15 x 12

Amount of water = 180 ounces

Hence, the amount of water drank in 12 hours will be 180 ounces.

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Answer: skew lines

Step-by-step explanation:

skew lines are two lines that do not intersect and are not coplanar

If earth days merely 2 hours long, which means the rotation period of the earth is 2 hours, your weight will become 1/144 of your actual weight.

The weight or gravitational force on a mass can also be considered as centripetal force.

The formula for the centripetal force is:

F = m v²/R

In this case,

m = your mass

v = tangential velocity or earth's rotation speed

R = earth's radius

Recall that speed = distance / time. In the problem, the distance is the circumference of the earth and the travelled time is the rotation period.

v = C/t

t₁ = 24 hours

t₂ = 2 hours

Since the units are the same, we do not need to convert the unit when comparing them.

Notice that the centripetal force is directly proportional to the square of rotation speed.

F ∝ v²

Hence,

F₁ : F₂ = v₁² : v₂²

But v is inversely proportional to rotation period. Hence,

F₁ : F₂ = t₂² :  t₁²

F₁ / F₂ = (t₂ /t₁)²

F₁ / F₂ = (2 /24)²

F₁ / F₂ = (1 /12)²

F₁ / F₂ = 1/144

Hence, your weight will be 1/144 of your actual weight.

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Answer:by make it in simple form

Step-by-step explanation:we firstly should start from 1st expression.Even by using algebra formula for ex:

=a/(a^2 -b^2)  +(b/(a^2 -b^2)

=(a+b)/(a^2 -b^2)

=(a+b) / ((a+b)(a-b))

=1/(a-b)

The rate of change of the mass of salt in the tank is described by the option Odm/dt = 15-(m/100). The following is a detailed solution to the problem:

a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved.

Pure water enters the tank at the rate of 10 liters per minute.

The solution is kept thoroughly mixed and is drained from the tank at the same rate. If m is the mass of salt in the tank at time t, then we have to determine the rate of change of the mass of salt in the tank.

The concentration of salt initially in the tank = 15 kg/ 1000 L = 0.015 kg/L.

Concentration of salt at any time t = m/(1000+10t) kg/L (since we are adding pure water at a rate of 10L per minute).

Let the rate of change of the mass of salt be given by Odm/dt.

Now we apply the mass balance equation to salt to find the rate of change of mass of salt in the tank.

From mass balance: Rate of accumulation = Rate of input - Rate of output

Rate of accumulation of salt in the tank = d(m)/dt

Rate of input of salt = 0

Rate of output of salt = (Concentration of salt in the tank) x Rate of output= (m/(1000+10t)) x 10

We now have:

Odm/dt = 0 - [(m/(1000+10t)) x 10]= - (m/ (100 + t)) kg/min

Odm/dt = - m/ (100 + t) kg/min

We can conclude that the option Odm/dt = 15-(m/100) describes the rate of change of the mass of salt in the tank. As the salt dissolves in the tank, the rate of accumulation of salt in the tank decreases and becomes zero when the solution becomes saturated. When this happens, the rate of input of salt will be equal to the rate of output of salt, and there will be no net accumulation of salt.

The rate of change of the mass of salt will be negative when the mass of salt is decreasing and will be positive when the mass of salt is increasing.

This occurs when salt is being added to the tank or when the solution is not yet saturated with salt.

The rate of change of the mass of salt in the tank will be zero at equilibrium.

In conclusion, the rate of change of the mass of salt in the tank is given by the option Odm/dt = 15-(m/100).

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Step-by-step explanation:

The new square has a scale factor of 50%, which means that its dimensions will be 50% of the original dimensions.

The original dimensions were 12 inches long and 12 inches wide, so the new square would be 6 inches long and 6 inches wide.

Answer:

The same y and opposite x

Step-by-step explanation:

The correct option is B, the minimum is at 14 items.

The cost function is given by:

c(x) = x³ - 24x² + 30,000x

The average cost is:

c(x)/x = x² -48x + 30000

The minimum of that is at the vertex of the quadratic, remember that for the general quadratic:

y = ax² + bx + c

The vertex is at:

x = -b/2a

So in this case the minimum is at:

x = 24/(2*1) = 14

So the correct option is B.

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A statement which does not describe a characteristic of the line of best fit for a scatter plot is that: A. the line of best fit should be the average of all the data points.

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

The statements which describe a characteristic of the line of best fit for a scatter plot include the following:

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Check the picture below.

\(tan(x )=\cfrac{\stackrel{opposite}{13}}{\underset{adjacent}{6}}\implies tan^{-1}[tan(x)]~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right) \\\\\\ x~~ = ~~tan^{-1}\left( \cfrac{13}{6} \right)\implies x\approx 65^o\)

Make sure your calculator is in Degree mode.

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

Answer:

Wyzant

MATH

Bobby H. asked • 02/12/18

Sandra is 4 feet tall. Pablo is 9% taller than Sandra, and Michaela is 10% taller than Pablo.

It's Math the the the the the the the the the the hte hte

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1 Expert Answer

By:

Andrew M. answered • 02/12/18

TUTOR New to Wyzant

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

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If Pablo is 9% taller than he is 109% as tall as Sandra or

1.09 times as tall:

4(1.09) = 4.36 feet tall

(0.36 ft)(12 inches/ft) = 4.32 inches

Pablo is 4 ft 4.3 inches tall

Michaela is 10% taller than Pablo or 110% as tall so

1.1(4.36) = 4.796 ft tall

(0.796 ft)(12 in/ft) = 9.552 inches

Michaela is 4 ft 9.6 inches tall

Step-by-step explanation:

hope it's helpfull

Answer:

1. 672 in.³

2. She still has 12 balloons.

3. 124 degrees

4. 600

5. She has $28 left.

Step-by-step explanation:

1.

The volume of a rectangular prism is

length × width × height

The length × width of the bas is also the area of the base.

The volume of a prism is also

area of base × height

Here you are given the area of the base as 56 in.²

The height is 12 in.

All you need to do is use the second formula:

volume = area of base × height

volume = 56 in.² × 12 in.

volume = 672 in.³

2.

She had 16 balloons.

1/4 of the 16 balloons blew away.

1/4 of 16 = 1/4 × 16 = 1/4 × 16/1 = 16/4 = 4

4 balloons blew away.

She started with 16. 4 blew away. We need to subtract.

16 balloons - 4 balloons = 12 balloons

Answer: She still has 12 balloons.

3.

The boiling point of water is 212 degrees Fahrenheit.

The pot is at 88 degrees Fahrenheit.

The temperature needs to go from 88 degrees up to 212 degrees.

We need to find the difference between 212 and 88.

We use subtraction.

212 - 88 = 124

Answer: 124 degrees

4.

8268 is approximately 8300.

8875 is approximately 8900.

The difference is 8900 - 8300 = 600

Answer: 600

5.

She started with: $100

She spent: $26, $8, $38

The total she spent is: $26 + $8 + $38 = $72

She had $100 and spent $72. She has the difference.

We need to subtract.

$100 - $72 = $28

Answer: She has $28 left.