Find the value of x. Round your answer to the nearest tenth.

1. 20 for $1.56 = A. 7.8 cents each

2. $3.78 for 6 =B. 63 cents each

3. For one dollar =C. 40 cents each

4. 5 at $3.90  = D. 78 cents each

5.  for $1.58  = E. $1.05 each

1.   20 for $1.56

Since cost of 20 items = $1.56

So, cost of 1 item =    1.56/20                          

                            =$0.078

1 dollar = 100 cents

So, $0.078= 0.078 × 100

                 =7.8 cents.

2. $3.78 for 6

Since cost of 6 items = $3.78

So, cost of 1 item = 3.78/ 6

                             =$0.63

1 dollar = 100 cents

So, $0.63 = 0.63 × 100 =63 cents.

3. 2 1/2 for one dollar

Cost of 2 1/2 = 5/2 = $1

So, cost of 1 item = 1/5/2

                            = 2/5

1 dollar = 100 cents

So, $2/5 =2/5 × 100

              =40 cents.

4. 5 at $3.90

Since cost of 5 items = $3.90

So, cost of 1 item = 3.90/5

                             =$0.78

1 dollar = 100 cents

So, $0.78 = 0.78 × 100

                =78 cents.

5. 1 1/2 for $1.58

Cost of  1 1/2 = $1.58

So, cost of 1 item =  1.58/3/2

                            = 1.05

Thus,

1. 20 for $1.56 =A. 7.8 cents each

2. $3.78 for 6=B. 63 cents each

3.   or one dollar =C. 40 cents each

4. 5 at $3.90 = D. 78 cents each

5.  for $1.58 = E. $1.05 each

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✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ \(30 + 17\)

➷ \(30 + -17\)

➷ \(= 13\)

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

(5x + 3)

From the answers you choose for me.

Step-by-step explanation:

Answer:

option c is the correct answer (l=1 cm and w=42cm)

Step-by-step explanation:

length(l) = 1.00cm

width(w)= 42.00 cm

ACCORDING TO FORMULA

Area of rectangle = l×w

=1 cm × 42 cm

= 42cm^2

Answer:

r = 0.16

Step-by-step explanation:

C = 2·π·r

1 =  2·π·r

1/2 =  π·r

0.5 =  π·r

0.5 / 3.14 = r

0.16 = r

When performing a hypothesis test on the population mean (μ) when the population standard deviation (σ) is known, the null hypothesis (H0) can never be rejected if the sample mean falls within the acceptance range determined by the chosen significance level and the critical values.

In hypothesis testing for the population mean when the population standard deviation is known, the null hypothesis (H0) represents the claim or assumption that the population mean is equal to a specific value. The alternative hypothesis (Ha) states that the population mean is not equal to the specific value.

To determine whether to reject or fail to reject the null hypothesis, we compare the sample mean to the expected value under the null hypothesis. If the sample mean falls within the acceptance range determined by the chosen significance level and the critical values, we do not have sufficient evidence to reject the null hypothesis. The acceptance range is defined by the margin of error around the expected value, and it indicates the range of values that can be considered reasonably close to the expected value.

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a. The limit of the given function, as x approaches 0 from the positive side, is 1.  b. Yes, The function is continuous at the point x = 0.

a. To find the limit of the given function, we substitute 0 into the expression and evaluate:

lim(x→0+) sin((3π/2)\(e^sqrt\)(x))

As x approaches 0 from the positive side, the term sqrt(x) approaches 0, and \(e^sqrt(x)\) approaches 1. Therefore, we can rewrite the expression as:

lim(x→0+) sin((3π/2)\(e^0\))

b. Since \(e^0\) is equal to 1, the expression simplifies to:

lim(x→0+) sin(3π/2)

The value of sin(3π/2) is equal to 1, so the limit of the function is 1.

Furthermore, since the limit exists and is equal to the value of the function at the point being approached, the function is continuous at x = 0.

Therefore, the answer is:

a. The limit is 1.

b. Yes, the function is continuous at x = 0.

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Answer:

a) 5:3

b) 7.5:5.3

Step-by-step explanation:

150min : 90min (1 and a half hour)

10 : 6

5 : 3

150 × 10 mm : 1060 mm

1500 : 1060

750 : 530

7.5 : 5.3

For a unimodal distribution which is symmetrical with a mean price of $2.11 and standard deviation of $0.56, a local grocer’s price of $3.50 in standard units would be 2.282 and it is unusually expensive.

A unimodal distribution refers to a distribution with one clear peak as the values increase to a single highest point after which they. It can be symmetrical or non-symmetrical. A symmetrical distribution refers to a distribution whose mean, mode, and median are all equal.

The standard score (z) is given by:

z = (x - µ)/σ where µ is the mean and σ is the standard deviation.

To determine the value of z for $3.50 price:

z = (3.5 – 2.11)/0.56 = 2.482

From the z-table, the probability of z ≥ 2.282

P (z ≥ 2.282) = 1 – P (z < 2.282) = 1 – 0.98876 = 0.0112 or 1.12%

Hence, the price of $ 3.50 is unusually high.

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Answer: 0.39

Step-by-step explanation:

We are required to determine the the value of f, rounded to the nearest hundredth

The value of f, rounded to the nearest hundredth is 0.39

Given function:

\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)

Where,

d = stopping distance in feet

v = initial velocity in miles per hour

f = a constant related to friction

When

v = 40 mph

d = 138 ft

f = ?

\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)

\(138= \frac{2.15 {(40)}^{2} }{64.4f} \)

138(64.4f) = 2.15(1600)

8,887.2f = 3440

f = 3440 / 8,887.2

f = 0.3870735439733

Approximately to the nearest hundredth f = 0.39

Therefore, the value of f, rounded to the nearest hundredth is 0.39

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Step-by-step explanation:

Yes, 22 words per minute is an example of a unit rate. A unit rate compares a quantity to one unit of another quantity. In this case, the rate is 22 words per minute, indicating that there are 22 words for every 1 minute

Answer:

Answer is D

Hope this helps you

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As we can see, this is a 45 45 90 triangle

The legs of the triangle are equal and the hypotenuse = leg * sqrt(2)

In this case,

The hypotenuse = 6 * sqrt(2)

Cos(45) = 6 / (6 * sqrt(2))

The 6's cancel each other out and you're left with:

1 / sqrt(2)

The correct answers are:

Positive, because as the quantity of water within the pond increases, the quantity of habitat will increase. There is a strong terrible courting indicating that with a boom within the age of male adults, there may be an associated lower in the amount of hair on the top. Plot 1: r = 0.96, Plot 2: r = -0.87

In reading the relationship between the amount of water (X) in a fishpond and the quantity of habitat (Y), we'd anticipate the correlation between X and Y to be tremendous. This is because as the amount of water inside the pond will increase, it gives more sources and areas for the habitat to thrive, ensuing in an increase in the extent of habitat.

Regarding the correlational examination on person men with the variables of age (X) and amount of hair on the pinnacle (Y), a correlation coefficient of r = -0.80 indicates a robust poor courting.

This means that as the age of male adults will increase, there's a related decrease in the quantity of hair on the top. The poor correlation indicates that older males generally tend to have less hair on their heads as compared to younger men.

For the two plots furnished, the quality matches for the correlation coefficients are:

Plot 1: r = 0.96

Plot 2: r = -0.87

These correlation coefficients imply a strong effective courting in Plot 1 and a robust terrible courting in Plot 2, respectively.

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The correct question is:

"Suppose you are in studying the relationship between the amount of water (X) in a fish pond and the volume of habitat (Y). You would expect the correlation between X and Y to be because O, because we cannot determine without data. Positive, because as the amount of water in the pond increases the volume of habitat increases Positive, because as the amount of water in the pond increases the volume of habitat decreases. Positive, because as the amount of water in the pond increases the volume of habitat decreases. Negative, because as the amount of water in the pond increases the volume of habitat decreases. Suppose you conducted a correlational study on adult males with the variables of age (x) and amount of hair on the head (Y). Your study revealed a correlation coefficient r = -0.81. What will be your interpretation for this result? There is a strong positive relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. There is a weak positive relationship indicating with an increase in age of male adults there is an associated increase in amount of hair on the head. There is a weak negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. The relationship between age of male adults and the amount of hair on the head is curvilinear There is a strong negative relationship indicating with an increase in age of male adults there is an associated decrease in amount of hair on the head. Based on the two plots provided below, match the correlation coefficients that best describe the two plots. Plot 1 Plot 2 3 10 11 2 2 9 Plot 1 = -0.002, Plot 2 = -0.80 Plot 1 = 0.96, Plot 2 = -0.87 Plot 1 = 0.96. Plot 2 - 0.40"

Answer:

Sorry I am not so sure about it maybe try to as a teacher.

Answer:

y = 4

Step-by-step explanation:

8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side

8y + 32 - 2y + 2 = 70 - 3y

6y + 34 = 70 - 3y ( add 3y to both sides )

9y + 34 = 70 ( subtract 34 from both sides )

9y = 36 ( divide both sides by 9 )

y = 4

Answer: 7 √7

Step-by-step explanation: If you find the greatest common factor of 343, you get 49 and 7 and 49 breaks down to 7 and 7. you now have 3 7's. You now group two of those sevens and bring it out of the radical, leaving one 7 under the radical. This gives you 7 √7.

Answer:

The formula to get the circumference of a circle is \(C=2*\pi * r\) but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this \(C=d*\pi\).

We can then input the value and we get that \(C=1*\pi\) which then just narrows down to \(C=3.142\).

Hope this helps!  Let me know if you have any questions

The concept and examples of congruence are described below.

The word 'congruent' signifies 'precisely equivalent' concerning shape and size. In any event, when we turn, flip, or pivot the shapes, they stay equivalent. For instance, draw two circles of similar range, then cut them out and put them on each other.

congruent angles have a similar point measure. For instance, an ordinary pentagon has five sides and five points, and each point is 108 degrees. No matter what the size or size of a customary polygon, the points will constantly be compatible.

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There are 11 zeros in the given fraction's terminating decimal representation.

To determine the number of zeros to the right of the decimal point and before the first non-zero digit in the terminating decimal representation of  \($\frac{1}{2^5\cdot5^8}$\) , we need to simplify the fraction.

\($\frac{1}{2^5\cdot5^8}$\)  can be rewritten as \($\frac{1}{32\cdot390625}$\) .

To find the decimal representation of this fraction, we divide 1 by the product of the denominators: \($32\cdot390625$\) .

Performing the division, we get:

\($0.000000000000512$\)

In this decimal representation, there are 11 zeros located to the right of the decimal point and before the first non-zero digit, which is 5. Therefore, there are 11 zeros in the given fraction's terminating decimal representation.

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Answer:

67.5

Step-by-step explanation:

The perimeter of the resulting rectangle is 67.5 ft

What is the perimeter of the resulting rectangle?

Given that

Perimeter = 45 ft

Scale factor = 1.5

So, we have

Resulting perimeter = 45 * 1.5

Evaluate

Resulting perimeter = 67.5

What is the area of this figure?

The area is the sum of the individual areas

The figure can be divided into two trapezoids

Using the above and the area formulas as a guide, we have the following:

Area = 1/2 * (3 + 5) * 2 + 1/2 * (3 + 7) * 4

Evaluate

Area = 28

Hence, the area is 28 sq units

The angles formed when two lines cross each other sum over one line 180º:

Then, if one part of the angle is 32º the other part is:

Answer:

-6r+6

Step-by-step explanation:

Given data

We are given the expression

8-(6r+2)

let us expand it by opening the bracket

=8-6r-2

collect like terms

=8-2-6r

=6-6r

rearrange

=-6r+6

Hence option A is correct

Answer:

20

Step-by-step explanation:

Plugin x = 10 and y = 5 in the expression.

x + 2y = 10 + 2*5

          = 10 + 10

          = 20

Answer:

the correct answer is Y=-x-3

The 95% confident interval for the true mean length of stay of all hospital patients is (3.716, 5.284) days.

To find a 95% confident interval for the true mean length of stay of all hospital patients, we can use the formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as the product of the critical value and the standard error, where the critical value is determined based on the desired confidence level and the standard error is the standard deviation divided by the square root of the sample size.

Given:

Sample mean  = 4.5 days

Standard deviation (σ) = 4 days

Sample size (n) = 100

Confidence level = 95%

First, let's calculate the critical value. Since the sample size is large (n > 30), we can use the Z-table to find the critical value for a 95% confidence level. The critical value corresponds to a 2-tailed test, so we need to find the value that leaves 2.5% in each tail.

Looking up the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Next, let's calculate the standard error:

Standard error (SE) = σ / sqrt(n)

SE = 4 / sqrt(100)

SE = 4 / 10

SE = 0.4

Now, we can calculate the margin of error:

Margin of error = critical value * standard error

Margin of error = 1.96 * 0.4

Margin of error = 0.784

Finally, we can construct the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.5 ± 0.784

Confidence interval = (3.716, 5.284)

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The 55 in the expression represents the speed of the family’s car in miles per hour.

What is called distance?

The complete length of the path between any two points is called distance.

The expression 245-55t represents the distance, in miles, the family still needs to drive after t hours.

A camp counselor starts from home and drives to a campground.

The expression 245-55t represents the distance, in miles, the counselor still needs to drive after t hours.

Now, in expression 245 is the distance in miles between his home to the campground.

And 55 is the rate at which the distance 245 miles is reducing per hour.

The 55 in the expression represents the speed of the family’s car in miles per hour.

If the speed of the camp counselor is 55 miles per hour, then we can use the formula distance = speed × time

 Find out  long it will take for the counselor to reach the campground?

Let’s set distance = 0 and solve for t:

245-5t = 0

55t = 245

t =  4.45hours

Therefore, it will take approximately 4.45 hours for the camp counselor to reach the campground.

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The Answer is:

−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!

Answer:

Minimum at x=4

Hey I saw your new question.... If you just point about the points A and B in the graph I will gladly help you.