A croissant, a cup of coffee, and a fruit bowl from Kelley's Coffee Cart cost a total of $5. 25. Kelley posts a notice announcing that, effective next week, the price of a croissant will go up 15% and the price of coffee will go up 40%. After the increase, the total price of the purchase will be and a fruit bowl will cost 3 times as much as a croissant. Find the cost of each item before the increase

Answer:

Step-by-step explanation:

Factors are 2 numbers that multiply to get the number.

EX.

2 and 4 are factors of 8

or

5 and 6 are factors of 30

So if you are given a polynomial, and they want you to factor it.  They want you to find other polynomials or numbers that multiply to your original polynomial.  Typically in the form of ( ) ( )

EX.  

x² + 6x + 8       this is a polynomial

(x+4)(x+2)        (x+4) and (x+2) are factors of that polynomial

Answer:

ANSWER : 8  A_P_E_X

Step-by-step explanation:

Plug the radius and the center point into the equation, and convert it to general form to get your answer.

The population of interest in this situation is the population of all North Carolina State University students, from which the graduate student collected a simple random sample of 605 enrolled students to estimate the percentage of students who have an Amazon Prime account.

The population of interest is the group of individuals that the researcher is trying to make inferences or draw conclusions about. In this case, the graduate student wants to estimate the percentage of North Carolina State University students who have an Amazon Prime account, therefore the population of interest is all North Carolina State University students. The graduate student collected a simple random sample of 605 students from the registrar's list of all enrolled students in order to make inferences about this population, and to estimate the percentage of students who have an Amazon Prime account.

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Answer:

c = (y + bd) / b

Step-by-step explanation:

Use the distributive property to open the parentheses.

b(c - d) = y

bc - bd = y

Move the bd to the other side

bc = y + bd

Move the b to the other side

c = (y + bd) / b

Hope this helped! Have a great day!

What is the image of ( 12 , − 4 ) after a dilation by a scale factor of 1/4 centered at the origin is (3, -1)

Transformation is the movement of a point in the coordinate plane. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease of a figure by a scale factor k. If the value of k > 1, then it is an enlargement but if k < 1, it is a reduction.

The point (12, -4) is dilated by a scale factor of 1/4 using the rule (x, y) ⇒ (x/4, y/4). The new point is (4, -1)

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It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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We can say that the new box will cost less than the original box because of the inequality sign.

Let one original box be denoted as x.

We are told that cost of 35 original boxes is $21.

Thus;

35x = $21

Now, since he wants the cost of the new box to be less than or equal to the cost of the original box, it means that the inequality is;

35x ≤ 21

Thus, we can say that the new box will cost less than the original box per unit.

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The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

a+11b/3

Step-by-step explanation:

Answer:

3 and 2/3b + 1a

Step-by-step explanation:

Simplifying b:

4b - 1/3b = 11/3b = 3 and 2/3b

Simplifying a:

-5a + 6a = 1a

Answer:

A is the first step

Step-by-step explanation:

emm sorry I just think your sentence is good so I search then it said it is from https://education.seattlepi.com/four-factors-influence-weather-4416.html

.... sorry TT - TT       this is a crying face if you don't understand and zoom is good but microsoft team is better I think. >-<

Answer:

The graph of such system of equations should show two lines with different slopes, and therefore intersecting in one unique point.

Step-by-step explanation:

In order to have a system of linear equations in two variables give as answer only one solution (that is a unique point on the plane), the graph of such equations should be two lines with different slopes, and therefore intersecting in one unique point.

Graphs with parallel lines will not be  correct since there is no intersection, and therefore no answer to such systems.

Graphs that show lines that overlap are not an answer either, since in such case there are infinite number of solutions (all the points on each line)

Answer:D

Step-by-step explanation:

Answer:

In question number 9 I think is: 3. In question number 10 is: 3. If is not corect well...Im sorry I tried my best :) Hope it helps!

Step-by-step explanation:

There should be 12 emails total.

7.200 and 2.683 are the variance and standard deviation, respectively.

Calculation of expected number of emails, variance and standard deviation:

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The car traveled a distance of 30.25 meters while braking.

When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.

The relevant equation to use in this case is:

\(v^2 = u^2 + 2as\)

where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.

Substituting the given values into the equation, we get:

\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)

Simplifying this equation, we get:

\(0 = 484 m^2/s^2 - 16s\)

\(16s = 484 m^2/s^2\)

\(s = (484 m^2/s^2) / 16s = 30.25 m\)

Therefore, the car traveled a distance of 30.25 meters while braking.

This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.

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Amaya jog 53/10 miles to meet goal, which is equivalent to 5(3/10) miles.

Given that Amaya jogged Monday 2(1/2) miles  and Amaya jogged  Wednesday 3(2/5) miles.

To calculate how many miles Amaya jog to meet goal, subtract the miles already jogged from 8 miles.

To add these distances, we need to find a common denominator.

2(1/2) = 5/2

3(2/5) = 17/5

Now we can add the distances:

5/2 + 17/5 = (55 + 217) / (2×5) = 27/10

Therefore, Amaya has jogged a total of 27/10 miles so far.

Now,

Amaya jog to meet goal = 8 - 27/10

Amaya jog to meet goal = 53/10 miles

Hence, Amaya jog 53/10 miles to meet goal, which is equivalent to 5(3/10) miles.

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It takes the Orlando Eye approximately 22 minutes to complete one full revolution.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The circumference of a circle is given by 2πr, where r is the radius.

For the Orlando Eye Ferris wheel with a radius of 195 feet, the circumference is:

C = 2π(195) = 390π feet

The time it takes to complete one full revolution is equal to the circumference of the wheel divided by the speed of the cars:

t = C / v

where v is the speed of the cars, which is approximately 0.927 feet per second. Substituting the values, we get:

t = (390π) / (0.927) seconds

Converting to minutes, we divide by 60:

t = (390π) / (0.927*60) minutes

Simplifying, we get:

t ≈ 21.8 minutes

Hence, it takes the Orlando Eye approximately 22 minutes to complete one full revolution.

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Answer:

m = 4

Step-by-step explanation:

m = -29 + 33

Answer:

the answer is m=4

hope this helps

have a good day :)

Step-by-step explanation:

33+-29=4

Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

Answer:

what the quistion?

Step-by-step explanation:

sry i cant spell

The probability that the first time a battery damage is observed is during the third trial or later is 42.74%.

To solve this problem, we can use the geometric distribution, which models the number of trials until the first success in a sequence of independent trials. In this case, the probability of success is 0.24 (the probability of a battery damage) and the probability of failure is 0.76 (the probability of a glass screen damage).

The probability of observing a battery damage for the first time on the third trial or later can be calculated as the complement of the probability of observing a battery damage on the first or second trial.

The probability of observing a battery damage on the first trial is 0.24, and the probability of observing a battery damage on the second trial is (0.76)(0.24) = 0.1824 (the probability of no battery damage on the first trial times the probability of battery damage on the second trial). Therefore, the probability of observing a battery damage for the first time on the third trial or later is 1 - 0.24 - 0.1824 = 0.5776.

However, the question asks for the probability of observing a battery damage for the first time on the third trial or later, which means we need to take into account the fact that we may have observed a battery damage before the third trial. Therefore, we need to adjust our calculation by subtracting the probability of observing a battery damage for the first time on the first or second trial from our previous result.

The probability of observing a battery damage for the first time on the first or second trial is 0.24 + 0.1824 = 0.4224. Therefore, the probability of observing a battery damage for the first time on the third trial or later is 0.5776 - 0.4224 = 0.1552 or 15.52%.

Therefore, the probability that the first time a battery damage is observed is during the third trial or later is 42.74%

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The answer is -8j + constant j. To evaluate the limit lim t → ∞ (3e^(-ti) - 8t)/(t + 1)j + 2tan^(-1)(+K), we need to analyze the behavior of the terms as t approaches infinity. By considering the exponential function and the tangent inverse function, we can determine the limit value.

As t approaches infinity, the exponential term e^(-ti) approaches zero since the exponent becomes increasingly negative. Therefore, the first term in the numerator, 3e^(-ti), approaches zero as well.

The second term in the numerator, -8t, grows without bound as t approaches infinity. However, it is divided by the term (t + 1) in the denominator, which also grows without bound. As a result, the quotient -8t/(t + 1) approaches a constant value, -8.

The term j remains constant as t approaches infinity.

The term 2tan^(-1)(+K) depends on the value of K. If K is a constant value, the tangent inverse function tends to approach a constant value as t goes to infinity.

Therefore, the limit lim t → ∞ (3e^(-ti) - 8t)/(t + 1)j + 2tan^(-1)(+K) can be simplified to 0j - 8 + constant j, where the constant depends on the value of K.

The final answer is -8j + constant j, where the constant represents the value of 2tan^(-1)(+K) as t approaches infinity.

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To model the volume of a rectangular prism with length 26cm and width w and height h such that the sum of the width and height is 32cm, we can use the following function:

V(w, h) = 26wh

subject to the constraint:

w + h = 32

We can solve for one of the variables in the constraint equation and substitute it into the volume equation, giving us:

w + h = 32  =>  h = 32 - w

V(w) = 26w(32 - w) = 832w - 26w^2

To find the maximum possible volume, we can take the derivative of this function with respect to w and set it equal to zero

dv/dw= 832 - 52w = 0

Solving for w, we get:

w = 16

Substituting this value back into the constraint equation, we get:

h = 32 - w = 16

Therefore, the maximum possible volume of the prism is:

V(16, 16) = 26(16)(16) = 6656 cubic cm

So the function to model the volume of the rectangular prism is V(w) = 832w - 26w^2, and the maximum possible volume is 6656 cubic cm when the width and height are both 16cm.

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Answer:

Yes. They are similar because they have the same shape and one is just flipped and smaller.

Answer: Yes

Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.

Answer:

4 1/2

Step-by-step explanation:

Step 1:

1/2 + 2/3 ÷ 1/6     Equation

Step 2:

1/2 + 2/3 × 6/1      Flip the Fraction

Step 3:

1/2 + 2/1 × 2/1    Simplify

Step 4:

1/2 + 4      Multiply

Answer:

4 1/2     Add

Hope This Helps :)

A)The equilibrium value for this DDS is approximately -66.67.

B)The slope in absolute value is greater than 1.

C)Using the initial condition I0 = 14, I1 = 1.15 × 14 + 10,I2 = 1.15 × I1 + 10,I3 = 1.15 × I2 + 10 And so on.

D)The value of I33 is approximately 1696.98.

a) To find the equilibrium value the equation In+1 = 1.15xn + 10 equal to xn. This means that at equilibrium, the value in the next iteration the same as the current value.

1.15xn + 10 = xn

Simplifying the equation:

0.15xn = -10

xn = -10 / 0.15

xn ≈ -66.67

b) To determine the stability of the equilibrium, to examine the slope of the DDS equation the slope is 1.15. The stability of the equilibrium depends on the magnitude of the slope.

c) The explicit solution for the linear DDS with initial value Xo = 14 found by iterating the equation:

In = 1.15In-1 + 10

Using the initial condition I0 = 14, the subsequent values:

I1 = 1.15 ×14 + 10

I2 = 1.15 × I1 + 10

I3 = 1.15 × I2 + 10

And so on.

d) To find I33, use either the recursive equation or the explicit solution. Since the explicit solution is not provided,  the recursive equation:

In = 1.15In-1 + 10

Starting with I0 = 14, calculate I33 iteratively:

I1 = 1.15 × 14 + 10

I2 = 1.15 ×I1 + 10

I3 = 1.15 × I2 + 10

I33 = 1.15 × I32 + 10

Using this approach, calculate I33 to two decimal places:

I33 =1696.98

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Answer:

D. 125 cm³

Step-by-step explanation:

Volume is how much space an object takes up.

The volume of a cube is denoted by: V = s³, where s is the side length of the cube. Here, we see that s = 5, so plug this into the formula:

V = s³

V = 5³ = 5 * 5 * 5 = 125

The answer is thus D.

Answer:

\(125 {cm}^{3} \)

Step-by-step explanation:

\(volume = b \times h \times l \\ = 5 \times 5 \times 5 \\ = 125 {cm}^{3} \)

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The amount he would pay to purchase a laptop today that is the same value as the one he saw in the ad is $390.

Cost price: Cost prize is the price at which the goods and services were purchased.

It is given that,

projected price: $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pays today for a laptop of the same value as the one in the advertisement, his cost will be 2.5% of $400 less, or as follows:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

As a result, the laptop that he needs right now will cost $390.

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