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Which shows equivalent expressions?

Answer:

Thus, the value of x is 1.

Step-by-step explanation:

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

Answer:

Write a formula for the arithmetic sequence whose first term is 9 and whose common difference is also 9.

Step-by-step explanation:

Answer:

caca

Step-by-step explanation:

Answer:  would be about 2000

Answer:

29 candy bars.

Step-by-step explanation:

First, let's find the cost of all of the movie passes:

13 x 9.5 = 123.5

Second, let's find the cost of the 3 gift cards:

25 x 3= 75

Now, let's add the costs up and subtract the total from 250:

123.5 + 75 = 198.5

250 - 198.5 = 51.5

So our total is 51.5 dollars. Now let's divide that by 1.75.

1.75 x 29 = 50.75

Since 1.75 x 30 = 52.5, the greatest number of candy Marcy can be is 29 candy bars.

Answer:

200 min

Step-by-step explanation:

78 = 39%

100 = ?

\(\frac{78}{39}=\frac{x}{100}\)

x= \(\frac{78}{39}*100\\\)

x= 200 min

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

Answer:

Yes D is the correct answer :)

Answer:

Yes, D

Step-by-step explanation:

When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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the answer shoulldd be 136°

Answer:

136 degrees

Step-by-step explanation:

I'm guessing you have to find the red line angle so umm, let's start I guess.

We see that m<AGF and m<GJE are corresponding and therefore, they are equal. Let's put that in an equation

6x+34=8x

subtract 6x on both sides

34=2x

x=17

WOOH, WE GOT WHAT X EQUALS!!!

Ok now, we do 8*17 which is 136

that means that m<GJE= 136

Let me know if you have any questions

Answer:

9 days is neeeded for Nadia to reach her goal

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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Answer:

1210

Step-by-step explanation:

13(96)-14+24

l248-38

=1210

Monica, this is the solution to the problem:

Total laps that Will swims = 45.6

Time it takes Will to swim this distance = 2.85 hours

Let's calculate the number of laps Will swims each hour, using Direct Rule of Three, as follows:

Laps Time

45.6 2.85

x 1

____________

2.85 * x = 45.6 * 1

2.85x = 45.6

Dividing by 2.85 at both sides:

2.85x/2.85 = 45.6/2.85

x = 16

Will swims 16 laps per hour

Answer:

I think it's 476 students have gadgets

Answer:

7.96

Step-by-step explanation:

50-18.16=31.84

31.84 divided by 4 = 7.96

Answer:

Each T - shirt costs $7.96

Step-by-step explanation:

4x + 18.16 = 50

subtract 18.16 from both sides.

4x = 31.84

divide both sides by 4

x = 7.96

Answer:

Step-by-step explanation:

students in 7th  grade took a standardized math test that they also had taken in 5th grade. the collected data showed that in two years the median increased by three points, and the mean increased by around two and a half points. In terms of the context, that proves that there is overall improvement in the grades of students.but there is a small difference between mean increase and median increase. While median increased 3 points, mean increased only by 2.5 points.  This implies there exists unusually low level iq students who had unusually low score thus affecting mean to be low.special training should be given to those students.

Answer:

In general, the students increased their standardized math scores from 5th grade to 7th grade. The students might be more familiar with the exam and they have learned more in their math classes.

Step-by-step explanation:

that is the sapmle response on edg.

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

c) Comment on the conclusion when H0 can be rejected:

When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

The total cost of rents is $180.

In the given table,

The cost of skis per day  = $48

The cost of pole per day = $12

Now since given that,

Alveres rents for 3 days

Therefore,

The cost of skis for 3 days  = $48 x 3

                                             =  $144

The cost of pole for 3 days = $12 x 3

                                             = $36

To find the total cost of rental,

Adding the cost of 3 days of skis and cost of 3 days of poles,

Hence,

Total cost of rents = $144 + $36

                               = $180

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

1.5 percent

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

congruent to original image

Explanation:
translation and rotation does not change the shape or size of the image,  but scale factor only changes size, so it is not similar, but rather congruent because it has the same shape.

Answer:

a

  The null hypothesis is  \(H_o : p = 0.67\)

   The alternative hypothesis is  \(H_a : p \ne 0.67\)

b

 The sample proportion is \(\^ p = 0.65\)

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  546  

      The number of people that use a laptop overnight is  \(k = 355\)

    The population proportion is  \(p = \frac{2}{3} = 0.67\)

   Generally

  The null hypothesis is  \(H_o : p = 0.67\)

   The alternative hypothesis is  \(H_a : p \ne 0.67\)

Gnerally the sample proportion is mathematically represented as

        \(\^ p = \frac{ k}{n}\)

=>     \(\^ p = \frac{ 355}{546}\)

=>     \(\^ p = 0.65\)

Answer:

t = 248.18 years

Step-by-step explanation:

Continuous exponential growth is described with:

P(t) = P0e^(rt), where

P0 = 5,549,000 is the initial population size.

r = 0.033 is the annual interest rate in decimal form

t = is the time in years (we need to find)

P(t) = 20,000,000,000 is the population size after t years (1 person for every square yard of land mean there will be 20,000,000,000 people)

P0e^(rt) = P(t)

5,549,000e^(0.033t) = 20,000,000,000

e^(0.033t) = 20,000,000,000/5,549,000

t = (1/0.033) ln(20,000,000,000/5,549,000)

t = 248.18 years

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

x = 10

z = 116

Step-by-step explanation:

12x - 58 = 62

x = 10

360 - 128 = 232

232 / 2 = 116

Answer:

x = 10

z = 116

Step-by-step explanation:

The ordered triple (p, q, r) that satisfies the given system of linear equations is (7, 2, 2).

To solve the given system of equations:

Start with the first equation: p - 2q = 3.

Multiply this equation by 2 to eliminate the coefficient of q: 2p - 4q = 6.

Next, we'll combine this equation with the second equation: q - 2r = -2.

Add the two equations together: (2p - 4q) + (q - 2r) = 6 + (-2).

Simplifying, we get: 2p - 3q - 2r = 4.

Now, let's consider the third equation: p + r = 9.

Rearrange this equation: p = 9 - r.

We can substitute this value for p in the equation we obtained in step 3:

2(9 - r) - 3q - 2r = 4.

Simplify the equation: 18 - 2r - 3q - 2r = 4.

Combining like terms, we have: -4r - 3q = -14.

We now have a system of two equations with two variables:

-4r - 3q = -14, (Equation 1)

q - 2r = -2. (Equation 2)

To solve this system, we can use various methods such as substitution or elimination. Here, we'll use the substitution method.

From Equation 2, we can solve for q:

q = 2r - 2.Substituting this value for q in Equation 1, we have:

-4r - 3(2r - 2) = -14.

Simplify and solve for r:

-4r - 6r + 6 = -14,

-10r = -20,

r = 2.

Now, substitute the value of r back into Equation 2 to solve for q:

q - 2(2) = -2,

q - 4 = -2,

q = 2.

Finally, substitute the values of q and r into Equation 3 to solve for p:

p + 2 = 9,

p = 7.

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Answer:

$56 million

Step-by-step explanation:

8% x 5 = 40%

40% of 40 = 16

40 + 16 = 56