joyce paid $210 for an item at the store that was 55 percent of the original price. what was the original price?

Answer:

17c + 18

Step-by-step explanation:

Distributive property: a(b + c) =a*b +a*c

8c + 9(c +2) = 8c + 9*c + 9*2    {Distributive property}

                    = 8c + 9c + 18  

Combine like terms, her 8c & 9c are like terms

                      = 17c + 18

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Answer:

30 Skittles

Step-by-step explanation:

12 = .4 x S

12/.4 = S

30

taste the rainbow

The probability of time lapsed between two consecutive trades longer than 17 seconds is equal to 0.87 or 87%.

Mean of the normal distribution (μ) = 15 seconds

To find the probability that the time lapsed between two consecutive trades on the New York Stock Exchange will be longer than 17 seconds,

Use the information provided about the normal distribution and probabilities.

Determine the probability of the time lapsed being greater than 17 seconds.

First, the z-scores corresponding to the given probabilities.

To find the z-score for the lower bound, where the time lapsed is below 13 seconds,

P(X < 13) = 0.07

This gives us the area to the left of 13 seconds, and

The z-score corresponding to this probability.

Using a standard normal distribution calculator,

The z-score corresponding to the cumulative probability of 0.07.

Let's denote this z-score as z₁.

Next, the z-score for the upper bound, where the time lapsed is between 16 and 17 seconds,

P(16 < X < 17) = 0.13

This gives us the area between 16 and 17 seconds, and

the z-scores corresponding to these probabilities.

The z-scores corresponding to the cumulative probabilities of 0.13 for both 16 seconds and 17 seconds.

Let's denote these z-scores as z₂ and z₃, respectively.

Now, to find the probability that the time lapsed between two consecutive trades will be longer than 17 seconds,

calculate the area to the right of 17 seconds under the normal distribution curve.

P(X > 17) = 1 - P(X < 17)

Since the z-scores corresponding to the lower bounds (13 seconds) and the upper bounds (16 seconds and 17 seconds),

calculate the probability using the cumulative distribution function (CDF) or the standard normal distribution.

P(X > 17) = 1 - P(X < 17)

P(X > 17) = 1 - P(Z < z3)

Using the z-scores, calculate the probability.

Please use standard normal distribution notation with Z representing the z-score.

Probability (P(Z < z₁)) = 0.07

Probability (P(Z < z₂)) = 0.13

Probability (P(Z < z₃)) = 0.13

Now, let's substitute these probabilities into the equation,

P(X > 17) = 1 - P(Z < z₃)

P(X > 17) = 1 - 0.13

Finally, calculate the probability,

P(X > 17) = 1 - 0.13

P(X > 17) = 0.87

Therefore, probability of time lapsed between two consecutive trades on New York Stock Exchange will be longer than 17 seconds is 0.87 or 87%.

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In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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Answer:

\(x = -4~ \text{and}~ x = -1\)

Step-by-step explanation:

\(~~~~~~~x^2 +5x +4 =0\\\\\implies x^2 +4x +x +4 = 0\\\\\implies x(x+4) +(x+4) = 0\\\\\implies (x+4)(x+1) = 0\\\\\implies x = -4,~~ x = -1\)

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​

Answer:

13-n

Step-by-step explanation:

n represents the number

Answer: Desmos Graphing Calculator.

Step-by-step explanation:

Then look at the x and y there.

Answer:

2,628,000 people per year.

Step-by-step explanation:

1 person every 12 seconds. There are 60 seconds in 1 minute. So, there are 60 / 12 = 5 people every minute.

There are 60 minutes in an hour. 5 * 60 = 300 people per hour.

There are 24 hours in a day. 24 * 300 = 7,200 people per day.

There are 365 days per year. 7,200 * 365 = 2,628,000 people per year.

Hope this helps!

Answer:

Monday 1. -2a^2-4b-ab

Monday 2. c^11-2c

Monday 3. d^12 (if its not a five but four then) d^11

Tuesday 4. e^2 (Could be wrong lowkey couldn't read it)

Tuesday 5. f^11/9^22

Tuesday 6. g^17

Wednesday 7. h^12 (Could be wrong lowkey couldn't read it)

Wednesday 8. y^15

Wednesday 9. 8^24

Thursday 10. m^11/13 (Could be wrong lowkey couldn't read it)

Thursday 11. 9

Thursday 12. 1

After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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The equation of the line as: y = (-2/9)x + 2.

To find the equation of a line, you can use the slope-intercept form: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given that the x-intercept is -9 and the y-intercept is 2, we can find the slope by using the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the values, we have: slope = (2 - 0) / (-9 - 0) = 2 / -9 = -2/9.

Now, we have the slope (-2/9) and the y-intercept (2), so we can write the equation of the line as: y = (-2/9)x + 2.

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Answer:

   \(\frac{2}{6}\) or \(\frac{1}{3}\)

Step-by-step explanation:

To find a fraction of a fraction simply multiply the numerators and denominators into another fraction:

\(\frac{1}{2}*\frac{2}{3} = \frac{2}{6} = \frac{1}{3}\)

Answer:

1/3.

Step-by-step explanation:

'of' means multiply. so

1/2 of 2/3

= 1/2 * 2/3

= 1*2  /  2*3

= 2/6

= 1/3.

Answer:

I don't remember this well but I can tell you that they are corresponding angles. When there is a line that cuts two that are vertical and the angles are on the same side, they are as you see them, corresponding.

Answer:

Step-by-step explanation:

If the car holds at most 14.5 gallons of gas and you use 1.5 gallons of gas on the way to the grocery store, the amount of gas you have left in your tank can be represented by the inequality:

\(14.5 - 1.5 < = x\)

This inequality can be read as "14.5 minus 1.5 is less than or equal to the amount of gas you have left in your tank, x."

Solving for x, we get:

\(x > = 13\)

So the amount of gas you have left in your tank is greater than or equal to 13 gallons.

\(\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}\)

Let's solve ~

\(\qquad \sf  \dashrightarrow \: {x}^{2} - 21 = 79\)

\(\qquad \sf  \dashrightarrow \: {x}^{2} = 79 + 21\)

\(\qquad \sf  \dashrightarrow \: x {}^{2} = 100 \)

\(\qquad \sf  \dashrightarrow \: x = \pm\sqrt{100} \)

\(\qquad \sf  \dashrightarrow \: x = \pm \sqrt{10 \times 10} \)

\(\qquad \sf  \dashrightarrow \: x = \pm10\)

The y-intercept of the linear function 11x - 10y = 2 is given as follows:

y = -1/5.

The function for this problem is defined as follows:

11x - 10y = 2.

The y-intercept of a function is given by the value assumed by y when x assumes a value of 0.

Considering it's concept, the y-intercept of the function in this problem is obtained as follows:

-10y = 2

10y = -2

y = -2/10

y = -1/5.

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Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°

If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.

Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:

m<3 = m<7

Substitute:

m<3 = 100°

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Answer:

When the scale factor between two circles is “x” the scale factor between the radius is also “x” and the scale factor of the area is “x^2"

this is only one possible answer. For example, instead of radius, you could have put diameter or circumference.

Answer:

5.09

Step-by-step explanation:

your welcome...........

Answer:

420

Step-by-step explanation:

Answer:

420

Step-by-step explanation:

vnhfuurrttjnnnnnbh

Answer:

7 hours

Step-by-step explanation:

20.00 + 10x = 90

10x = 70

x = 7

Answer:

20 + 10x = 90  (where x is the number of hours spent raking leaves)

7 hours

Step-by-step explanation:

let x = number of hours spent raking leaves

Given:

20 + 10x = 90

To solve:  20 + 10x = 90

Subtract 20 from both sides:

⇒ 10x = 70

Divide both sides by 10:

⇒ x = 7

Therefore he spent 7 hours raking the leaves.

The set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

To determine if the set Z(2) contains the fraction 2/6, we need to understand what Z(2) represents.

The notation Z(2) typically refers to the set of integers modulo 2, also known as the integers modulo 2 ring. In this set, the elements are the remainders of integers when divided by 2, which are 0 and 1.

To check if 2/6 is in Z(2), we need to reduce 2/6 modulo 2. When we divide 2 by 6, the remainder is 2, which means 2/6 is congruent to 2 modulo 2.

In Z(2), the only possible values are 0 and 1, so 2 is not an element of Z(2). Therefore, 2/6 is not in Z(2).

In summary, since the set Z(2) consists of the remainders of integers when divided by 2, and 2/6 is congruent to 2 modulo 2, which is not an element of Z(2), we can conclude that Z(2) does not contain 2/6.

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Answer:

7p + 14

Step-by-step explanation:

add 12p and -5p to get 7p

then add 11 and 3 to get 14

your equation will be 7p + 14

here is the answer

7p + 14.      

The spherical correlation is a mathematical concept that satisfies a generalized Fourier theorem. This theorem enables us to compute the spherical correlation efficiently using a generalized (non-commutative) method.

To understand this, let's break it down step by step:

1. The spherical correlation is a measure of similarity between two spherical functions. It is commonly used in signal processing and image analysis.

2. The generalized Fourier theorem states that any function can be represented as a sum of spherical harmonics. Spherical harmonics are a set of functions defined on the surface of a sphere.

3. By applying the generalized Fourier theorem to the spherical correlation, we can express it as a sum of spherical harmonics. This allows us to efficiently compute the correlation using the properties of spherical harmonics.

4. The non-commutative nature of the generalized method means that the order of operations is important. In other words, the operations may not commute or switch places, affecting the final result.

In conclusion, the spherical correlation satisfies a generalized Fourier theorem, which provides an efficient way to compute it using a generalized (non-commutative) approach.

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The peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

To model the roof line of Terry's house, we can use the concept of absolute value. The equation for an absolute value function can be written as:

y = |x - h| + k

where (h, k) represents the vertex of the absolute value graph.

In this case, the peak of the roof line is at 24 feet. Since the width of the house is 32 feet, the vertex of the absolute value graph will be at the midpoint of the width, which is 16 feet. Therefore, h = 16.

Since the peak is at y = 24 feet, the vertex point (h, k) is (16, 24). Plugging these values into the equation, we get:

y = |x - 16| + 24

This equation models the roof line of Terry's house.

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Step-by-step explanation:

Let the number be \(\overline{abc}=100a+10b+c\).

\(100a+10b+c=34a+34b+34c \\ \\ 66a-24b-33c=0 \\ \\ 22a-8b-11c=0\)

Taking the equation mod \(11\) yields \(-8b \equiv \pmod{11}\), meaning \(b=0\).

So, \(22a-11c=0 \implies c=2a\).

So, the only possibilites are \((a,c)=(1,2), (2,4),(3,6), (4,8)\).

Therefore, there are \(4\) such numbers.

The expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).

Given trigonometric expression is:

\(Cos(\frac{\pi }{2}+r )\)

The value of \(Cos(\frac{\pi }{2}+\theta )\) is \(-Sin\theta\) because \(\frac{\pi }{2} +\theta\) lies in the second quadrant and the cosine function is negative in the second quadrant.

So, \(Cos(\frac{\pi }{2}+r )= -Sin r\)

The range of sine and cosine functions is the same i.e. [-1,1].

Both the functions are periodic functions with periods 2π.

Hence, the expression that is equivalent to \(Cos(\frac{\pi }{2}+r )\) is \(-Sinr\).

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The correct answer is A. no; since np<5, the normal distribution should not be used.  This is because np<5, which violates the condition for using the normal distribution approximation to the binomial distribution. In this case, np=15 which is less than 5, and therefore, the binomial distribution should be used. If np is greater than or equal to 5, a normal approximation to the binomial distribution can be used.

The binomial distribution can be used to model the probability of a certain number of successes in a fixed number of independent trials, where the probability of success in each trial is the same. However, if the number of trials is large and the probability of success is small, the binomial distribution can be approximated by a normal distribution.

In this case, we have

n = 100 trials and p = 0.15

probability of success in each trial.

Therefore, np = 15, which is less than 5. According to the rule of thumb, if np < 5 or n(1-p) < 5, the normal distribution approximation is not valid, and the binomial distribution should be used.

Since the probability of success is small (0.15), and the number of trials is relatively large (100), we could use a normal approximation to the binomial distribution. However, since np < 5, we cannot use the binomial probability formula directly. Instead, we would need to use a continuity correction and the standard normal distribution to estimate the probability. Therefore, option A is the correct answer.

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