Groceries R Us is selling 8 apples for $2.80.

Food Galore is selling 6 apples for $2.16.

Shop Here is selling 4 apples for $1.42.


Find their unit rates. Which store has the best deal?

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

24 is the answer.

Step-by-step explanation:

The LCM of two non-zero integers, x(3) and y(8), is the smallest positive integer m(24) that is divisible by both x(3) and y(8) without any remainder.

Answer:

24 is the answer

Step-by-step explanation:

I can't upload the photo sorry

The cost of a rugby ball is $6.57

The cost of a golf ball is $1.75

Let x represent the cost of a rugby ball and y represent the cost of a golf ball

2x + 3y= 18.39.........equation 1

5x + 7y= 45.10.........equation 2

multiply equation 1 by 5 and equation 2 by 2

10x + 15y= 91.95

-

10x + 14y= 90.2

y= 1.75

Substitute 1.75 for y in equation 2

5x + 7(1.75)= 45.10

5x + 12.25= 45.10

5x= 45.10-12.25

5x= 32.85

x= 32.85/5

x= 6.57

Hence the cost of a rugby ball is $6.57 and the cost of a golf ball is $1.75

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The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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Answer: 12.5%

Step-by-step explanation:

Increase is 54-48 = 6

6/48 × 100/ 1

600/48

The fraction of numbers less than n that are prime is about 1/ln(n).

What is positive integers?

Positive integers are the set of whole numbers greater than zero. In other words, the positive integers are the natural numbers, denoted by the symbol N, which is often defined as N = {1, 2, 3, 4, ...}. The positive integers are a fundamental concept in mathematics, and many important mathematical structures, such as the integers, rational numbers, real numbers, and complex numbers, are built upon the foundation of the positive integers.

As predicted by the prime number theorem. Specifically, as n becomes very large, the proportion of primes among the positive integers less than or equal to n approaches 1/ln(n). In other words, the prime number theorem gives an asymptotic estimate for the density of primes. This means that for sufficiently large n, the actual proportion of primes among the first n positive integers is very close to 1/ln(n).

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Answer:

x-17=56

x-17+17=56+17

x=56+17

x=73

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

d

Step-by-step explanation:

Answer:

$40.8

Step-by-step explanation:

Use the formula

n(1+percentage given/100)\(x^{of the given year}\)

PS: the x means nothing just wanted to show you it is an indices

40(1+10/100)^2

40x1.01^2=$40.80

Answer:

inductive

Step-by-step explanation:

there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

To determine the number of possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, we can use combinatorial analysis.

First, let's consider the distribution of 3 cookies to Anthony. Since there are 10 cookies to choose from, the number of ways to select 3 cookies for Anthony is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 10 * 9 * 8 / (3 * 2 * 1) = 120

Next, we consider the distribution of 3 cookies to Misha. Since there are 7 remaining cookies after Anthony's selection, the number of ways to select 3 cookies for Misha is:

C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!) = 7 * 6 * 5 / (3 * 2 * 1) = 35

Finally, the remaining 4 cookies are automatically assigned to Lizard.

To find the total number of possible distributions, we multiply the number of ways to distribute the cookies to Anthony, Misha, and Lizard:

Total number of possible distributions = 120 * 35 = 4,200

Therefore, there are 4,200 possible distributions of the 10 different types of cookies among Anthony, Misha, and Lizard, considering the given conditions.

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Answer:

Ashton is correct. The quadratic expression has the factors (2x−5) and (3x+5), so the zeros are at x=5/2 and x=−5/3.

Step-by-step explanation:

The answer itself has the step-by-step explanation.

Step-by-step explanation:

Answer:

35t 125kg

5120x12=61440 kg

10200+9=10209 kg

Step-by-step explanation:

To achieve an equilibrium strategy of (Cooperate, Cooperate) in an infinite game with a time discount of 0.32, the value of x should be 5.

In the given game, Player 1 and Player 2 have two possible choices: Cooperate or Defect.

The payoffs for each choice are presented in the table format provided. To determine the equilibrium strategy, we need to consider the players' incentives and find a situation where neither player has the incentive to deviate from their chosen strategy.

In this case, we want the equilibrium strategy to be (Cooperate, Cooperate), which means both players should choose to cooperate. To analyze the game, let's consider Player 1's perspective.

If Player 2 cooperates (first column), Player 1's best response is to cooperate as well since the payoff is higher for cooperation (x) compared to defection (2 or 26).

However, if Player 2 defects, Player 1's best response is to defect as well, as the payoff for defection (26) is higher than cooperation (5).

Since Player 1's best response is to always cooperate regardless of Player 2's choice, we can conclude that Player 1 will always choose to cooperate.

To achieve the equilibrium strategy, Player 2 should also choose to cooperate. Therefore, in the (Cooperate, Cooperate) equilibrium, Player 2's payoff for cooperation should be equal to Player 1's payoff for cooperation.

Looking at the table, we see that the only common payoff for cooperation is (5, 5). Hence, for the equilibrium strategy to be (Cooperate, Cooperate), the value of x should be 5.

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The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Answer:

Donno dont care answer is 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

since IS = IM then Δ SIM is isosceles with the 2 base angles being congruent , then

∠ M = ∠ S = 78°

Answer:

  D. 78°

Step-by-step explanation:

In the given isosceles triangle, the congruent base angles are ∠S and ∠M. If the measure of angle S is 78°, then the measure of angle M is 78°.

The solution to the given Inequality expression is: s ≥ -8

Inequalities could be in the form of greater than, less than, greater than or equal to and less than or equal to.

We are given the inequality expression as:

s/-2 ≤ 4

Divide both sides by -1/2 and this changes the inequality sign to give us:

s ≥ 4 * -2

s ≥ -8

Thus, all values greater than or equal to -8 are possible values of s in the inequality.

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Complete question is:

Select the values that make the inequality s/-2 ≤ 4 true. Then write an equivalent inequality, in terms of s.

Answer:

The number of electrons in a neutral atom is equal to the number of protons.

Answer:

x=3

Step-by-step explanation:

just took the test

Answer:

-10

Step-by-step explanation:

y= kx

or, k= y/x

or, k = 5/4

k = 1.25

y= kx = 1.25 × (-8) = -10

a) Situations when an observer needs to be introduced and the role of each matrix: In order to observe the state of a system in practice, an observer must be introduced. The observer's role is to assess the system's state variables based on the system's input and output values, as well as the system's dynamics. The observer consists of three matrices:L: State feedback gain matrix M: Determines the observer's internal dynamics N: Maps the output signal to the observer's inputThe purpose of the observer is to estimate the system's states so that they can be fed back into the control loop.

b) Det[s1 - L] discussion: When designing an observer, the choice of observer poles has a significant impact on the system's efficiency. If the observer poles are placed far too close to the system poles, the observer may become unstable and diverge from the true state values. Alternatively, if the observer poles are placed far too far from the system poles, the observer may not be sensitive enough to changes in the system's states.In this context, det[s1 - L] refers to the determinant of the system's matrix minus the state feedback gain matrix. To ensure that the observer's poles are not too close or too far from the system's poles, this determinant must be non-zero.

c) Designing state observer: The observer's gain matrix L can be determined using the Ackerman formula.

By using Ackerman formula, the observer gain matrix is:L = acker(A', C', [s1, s2])L = [21 12]s1 = -4; s2 = -5 The observer's matrix M is given by:M = A - LC = [0 1;-1 -2] - [21; 12][1 0]M = [-21 -12;-21 -8]

The observer's matrix N is given by:N = B - LD = [0] - [21; 12][0]N = [0]d) Observer block diagram with matrices:Based on the information given above, the observer's block diagram with matrices L, M, and N can be presented in the following diagram:state observer block diagram

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Answer:

I wish I knew the answer to this, I asked my grandmother too, she also doesn't know sorry

Answer:

Yes they both are equal

The actual amount of sale for each bake is $214. As Miguel said it is $215 which is very close to the actual amount, it is reasonable.

To determine if Miguel's estimate of $215 per bake sale is reasonable, we can start by calculating the average amount of money the scout troop made per bake sale. We do this by dividing the total amount they earned by the number of sales they had, as follows:

Total amount earned = $1,498

Number of bake sales = 7

Average amount earned per bake sale = Total amount earned ÷ Number of bake sales

= $1,498 ÷ 7

= $214

This calculation shows that the average amount the scout troop made per bake sale was $214. This means that if they had charged a consistent price for all of their baked goods at each sale, they would have made an average of $214 per sale.

Now, we can compare this average to Miguel's estimate of $215 per bake sale. Since his estimate is very close to the actual average, we can conclude that it is reasonable.

It is possible that the scout troop charged slightly different prices for their baked goods at each sale, which could explain the small discrepancy between the actual average and Miguel's estimate. However, given that the difference between the two values is only $1, it is likely that Miguel's estimate is a good approximation of the actual amount.

Moreover, it is reasonable to assume that the scout troop earned the same amount at each bake sale, especially if they had a set price for their baked goods.

If they had charged different prices at each sale, it would have been more difficult to estimate the average amount they earned per sale, and it would have been less likely that Miguel's estimate of $215 per bake sale would have been close to the actual average.

Therefore, based on the calculation and the context of the problem, we can conclude that Miguel's estimate of $215 per bake sale is reasonable.

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Answer:

the answer is$4

Step-by-step explanation:

he spend $2 on soft drinks and now she had 32 dollars left so she bought 8 candy and 32÷8= 4 so, she had spend$4 each on candy bars