A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.

Answer:

16x+9=4x would be correct

Answer:

To get back to sea level, the scientist must now rise a total of 19.2 feet. This is calculated by subtracting the total amount of feet she has descended (37.4 + 8.4 = 45.8 feet) from the total amount of feet she has traveled (37.4 + 19.8 + 8.4 = 65.6 feet). Therefore, 19.2 feet (65.6 - 45.8) must be ascended in order to reach sea level.

We can estimate that there were approximately 388 M&Ms in the bag. 5. The M&M bags may not be distributed as planned for a number of reasons.

When a number is expressed as a fraction of 100, the denominator is always fixed at 100. It is frequently used to convey ratios, proportions, or rates in a way that is easier to grasp and compare.

On a test, for instance, if a student correctly answers 20 of the 25 questions, we can calculate their percentage by dividing 20 by 25, then multiplying the result by 100:

20/25 x 100 = 80%

Given that, you count 97 blue pieces, and they are 25%.

Thus,

0.25x = 97

x = 388

Hence, we can estimate that there were approximately 388 M&Ms in the bag.

5. The M&M bags may not be distributed as planned for a number of reasons. There is a chance that the sample of M&Ms we saw is not entirely representative of the population of M&Ms in the bag due to random sampling error. Another explanation is that there may be some natural fluctuation in the ratios of various colours in each batch of M&Ms because the manufacturing procedure at the factory is not always exact.

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Answer:

circle because circle does not have any edges

The bar height for the price range of less than $5,000 will increase by 200.

In the given histogram, the x-axis represents the car prices ranging from $0 to $40,000, while the y-axis represents the number of cars sold over 10 years, ranging from 0 to 700.

Based on the provided information, we can observe that between the price ranges of $20,000 and $30,000, the bar height exceeds the maximum y-axis value of 700. Similarly, between the price ranges of $5,000 and $10,000, and $40,000 and $45,000, the bar height is indicated as 200.

If the car salesman decides to include cars with prices less than $5,000 and projects selling 200 of them over the next 10 years, the distribution will be affected as follows:

The bar representing the price range of less than $5,000 will increase in height by 200, indicating the projected sale of those additional cars. This means that the histogram will show a higher number of cars sold in the lower price range, reflecting the demand from students and the inclusion of more affordable cars in the sales strategy. This modification will result in a redistribution of the bars, with an additional bar added to represent the projected sales of cars below $5,000.

Overall, the distribution in the histogram will be affected by an increase in the bar height for the price range of less than $5,000 by 200 units, indicating the projected sale of those additional affordable cars over the next 10 years.

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The percentage change in the average cost of a gallon of gas in 2014 was 30%. This means that the cost of a gallon of gas decreased by 30% from January to December 2014.

To calculate the percentage change in the average cost of a gallon of gas in 2014, we have to use the formula for percentage change, which is

= (new value - old value) / old value * 100

The old value, in this case, is the average cost of a gallon of gas in January 2014, which is $3.42, and the new value is the average cost of a gallon of gas in December 2014, which is $2.36. When we substitute these values into the formula, we get

=  ($2.36 - $3.42) / $3.42 * 100

= -30.4%.

This means that there was a decrease of 30.4% in the average cost of a gallon of gas from January to December in 2014. However, we are supposed to round to the nearest percent. Since the hundredth place is 0.4, greater than or equal to 0.5, we round up the tenth place, giving us -30.0%.

Since we are asked for the percentage change, we drop the negative sign and conclude that the percentage change in the average cost of a gallon of gas in 2014 was 30%. The percentage change in the average cost of a gallon of gas in 2014 was 30%.

This means that the cost of a gallon of gas decreased by 30% from January to December 2014. We rounded the result to the nearest percent, which gave us -30.0%, but since we are interested in the percentage change, we dropped the negative sign to get 30%.

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Responder:

243

Explicação passo a passo:

Dado que :

Número inicial de bananas = 272

Número de bananas devolvidas com = 129

Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.

Portanto, número de bananas vendidas:

372 - 129 = 243

Answer:

third option

hope helpful <3

Answer: C. 21,600,000

Step-by-step explanation: You're welcome. :D

Answer: I cant see it

Step-by-step explanation:

It is a blur

Answer:

\(4x^2\left(3x-1\right)\)

Key:

• \(a^{b+c}=a^ba^c\)

• Factor out the last leading term standing to solve in the end.

Step-by-step explanation:

\(12x^3-4x^2\\x^3=xx^2\\=12xx^2-4x^2\\=4\cdot \:3xx^2-4\cdot \:1\cdot \:x^2\\=4x^2\left(3x-1\right)\)

Using proportions, it is found that the value of yz is given as follows:

yz = 38/13.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

Considering that y is between x and z, the lengths can be related as follows:

xz = xy + yz.

Hence, considering that xz and xy are given in the problem, we can find yz as follows:

3 = 1/13 + yz

yz = 3 - 1/13

yz = 39/13 - 1/13

yz = 38/13.

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The definite integral in this problem has the value given as follows:

B. 42.

The definite integral in the context of this problem is given as follows:

\(\int_0^2 (x^7 + 5) dx\)

Applying the power of x integral rule, the result of the integral is given as follows:

\(\frac{x^8}{8} + 5x\)

At x = 2, the numeric value of the integral is given as follows:

\(\frac{2^8}{8} + 5(2) = 42\)

At x = 0, the numeric value of the integral is given as follows:

0.

(as both terms involve a multiplication by x and x = 0).

Applying the Fundamental Theorem of Calculus, the result of the integral is given as follows:

42 - 0 = 42.

Hence option B is the correct option in the context of this problem.

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The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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The probability that a student has been to the United Kingdom or Japan is 0.66.

This can be calculated using the following formula:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, P(A) is the probability that a student has been to the United Kingdom, P(B) is the probability that a student has been to Japan, and P(A and B) is the probability that a student has been to both the United Kingdom and Japan.

Therefore, the probability that a student has been to the United Kingdom or Japan is:

P(A or B) = 0.28 + 0.52 - 0.14 = 0.66

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Answer: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number

Step-by-step explanation: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number.what is the width

Answer:

  3

Step-by-step explanation:

You want to evaluate the expression (8ab)/(2bc) for a=3, b=12, c=4.

Put the values where the corresponding letters are and do the arithmetic. Here, some factors are obviously cancelled, simplifying the problem.

  \(\dfrac{8ab}{2bc}=\dfrac{8\cdot3\cdot12}{2\cdot12\cdot4}=\boxed{3}\)

True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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a) E = ∫∞-∞ |x(t)|² dt  As the signal is not an energy signal, the energy value will be infinite, b) E = 20 Joules.

The given signals are x(t) = cos(at) sin(3πt) t and x(t) = 4 - t, 0 ≤ t ≤ 2. The power and energy of the given signals are to be determined in this question.

There are two types of signals in the continuous-time signal, which are as follows:

Energy SignalA continuous-time signal is known as an energy signal if its energy value is finite. When a signal is an energy signal, it has a finite amount of energy.

Power SignalWhen a signal has an infinite amount of energy, it is known as a power signal. The signal's power can be calculated over an interval of time. Let's look at the signals now:

a.

x (t) = cos(at) sin(3лt) t For this signal, the power can be calculated as:

P = (1/T) * ∫(T/2)-T/2 |x(t)|² dt

As the signal is a periodic signal with the fundamental period T0 = 2π/3a, we can write the above equation as:P = (3a/π) * ∫π/3 -π/3 |cos(at) sin(3πt)|² dtOn simplification, we get:P = (3a/8) Watts

Now, the energy of the signal can be calculated as:

E = ∫∞-∞ |x(t)|² dt  As the signal is not an energy signal, the energy value will be infinite.

b.

x (t) = 4 - t, 0 ≤ t ≤ 2For this signal, we can calculate the power as:P = (1/T) * ∫(T/2)-T/2 |x(t)|² dt

Now, T = 2 and x(t) = 4 - t We know that power is defined as energy per unit of time and that energy is the integration of the signal over an interval. As a result, the energy can be calculated as

E = ∫2-0 |x(t)|² dtOn simplification, we get:

E = 20 Joules

We can conclude that the signal x(t) = 4 - t, 0 ≤ t ≤ 2 is a power signal with power (P) of 5 Watts and energy (E) of 20 Joules.

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The  probability of the card being an ace, given that it is a non-face card is option A: 8% .

To find the probability of an event occurring, we can use the formula:

Probability = number of ways the event can occur / total number of outcomes.

In this case, we are trying to see the probability of drawing an ace from a standard deck of 52 cards, given that the card is a non-face card. There are 4 aces in a standard deck of 52 cards, so the number of ways the event (drawing an ace) can occur is 4. There are 52 total cards in the deck, and 48 of them are non-face cards. So, the total number of outcomes is 48.

Therefore, the probability of the card being an ace, given that it is a non-face card, is 4/48.

4/48 = 0.083

When converted to percentage, it is  approximately 8.3%.

Therefore,  This means that the probability of the card being an ace, given that it is a non-face card, is approximately 8%, which is seen as the closest to the answer choice "8%".

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Im sorry but theres no picture or nothing I can work with!

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

Answer:

$15 per hour and he worked 5 hours yesterday.

Step-by-step explanation:

Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.

Set up the equation like this.

7x=105

Divide by 7 to isolate the x

x=15

That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.

15x=75

Divide by 15 to isolate the x

x=5

That means he worked 5 hours yesterday.

P.S. give me crown

Answer:

 He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5  hours that day and he made 75 dollars.  

Step-by-step explanation:

This is a short answer so u dont have to write that much.

5 × 0.8 = 4

and that's all there is

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

\(y = a \: {x}^{2} + b \: x + c \)

The quadratic function opens upward so ;

\(a > 0\)

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

\(x = - \frac{b}{2a} \\ \)

So we have :

\( - 2 = - \frac{b}{2a} \\ \)

Multiply the sides of the equation by 2a :

\(b = 4a\)

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

\(y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c \)

\(f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 \)

\( - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3\)

And we're done.

Thanks for watching buddy good luck.

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Answer:

I don`t see a mistake.

They did add exponents

They base numbers are correctly multiplied, not added

Exponents aren`t supposed to be multiplied

So I don`t think there is a mistake

Answer:

b=7

18 miles

Step-by-step explanation:

Answer:

-2.1

Step-by-step explanation:

because -7.5 + 5.4 = -2.1