It rained 5/8 inches each day for 5 days. How much total rain fell?

F.
5 5/8 inches

G.
4 3/8 inches

H.
3 1/8 inches

J.
1/8
inches

According to the information, we can infer that you had 51 gold coins.

To identify how many coins do you have let's use algebra to solve this problem. Let's say you started with x gold coins and y treasure chests.

According to the problem, when you tried to put 9 gold coins in each treasure chest, you had 2 treasure chests left empty. This means that the total number of gold coins you had must have been divisible by 9, except for the 2 extra treasure chests. So we can write:

Next, you tried putting 6 gold coins in each treasure chest, and had 3 gold coins left over. This means that the total number of gold coins you had was 3 more than a multiple of 6, since each chest had 6 gold coins except for the 3 extra coins. So we can write:

We can solve this system of equations by equating the expressions for x:

This tells us that 6m + 1 must be divisible by 9. The first few values of m that satisfy this are:

So we have m = 8, which means:

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If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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Answer: -99

Step-by-step explanation:

This is a tricky question because we are dealing with negative numbers. In this case, the numbers that are closer to 0 are the greater numbers. So, the greatest multiple of 99 that is less than 0 would be -99.

It should be 83.33% if not try : 83.3% and if not that try 83%

Answer:

See below for answer

Step-by-step explanation:

Domain is the x-value in the ordered pair    

Range is the y- value in the ordered pair

1.  D = {3, 2, 1, 0}      R = {-5, -4, -3, -2}

2.  D = {-2, 0, 2, 4}   R = {1, 2, 4, 6}

3.  D = {10, 8, 6, 4}   R = {-1, 2, 5, 8}

4.  D = {-5, -3, -1, 1}   R = {-5, -3, -1, 1}

5.  D = {-4, -1, 2, 3}   R = {4, 0, 4, 6}

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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By graphing, the solution to the given system of equations is: (2, 4).

To solve a system of equations by graphing:

The graph of y = 7/2x - 3 is the red line while that of y = –3/2x + 7 is the red line. They intersect at (2, 4).

Therefore, the solution of the system of equations is: .

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Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

Answer:

6/11

Step-by-step explanation:

5 of the counters are white that are taken out of the bag. That means if one more was taken out if the bag after that was the only white counter left then we can conclude that since there are 11 counters in the bag and 6 are white then, the probability of picking a white counter would be 6/11.

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Answer:

P(of picking one of the white counters )= 8/11

Step-by-step explanation:

Firstly you need to identify the counters

White counters = 5

Unknown= 6

Total outcome = 11

With the aid of a tree diagram and following the condition of not replaced we go on and compute our findings

Answer:

Kristen will have $1159.27 after 5 years

Step-by-step explanation:

trust in ya boy

Answer:

$ 1159.27

Step-by-step explanation:

1000 ( 1 + .03)^5 = 1159.27

Answer:

( \(\frac{1}{4}\), 8 )

Step-by-step explanation:

y = 8x + 6 → (1)

y = 32x → (2)

substitute y = 32x into (1)

32x = 8x + 6 ( subtract 8x from both sides )

24x = 6 ( divide both sides by 24 )

x = \(\frac{6}{24}\) = \(\frac{1}{4}\)

substitute this value into either of the 2 equations and solve for y

substituting into (2)

y = 32 × \(\frac{1}{4}\) = 8

solution is ( \(\frac{1}{4}\), 8 )

True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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9514 1404 393

Answer:

  11.9 cm

Step-by-step explanation:

Arc length is given by ...

  s = rθ . . . . . . θ is the central angle in radians

Your central angle is 85°, so is (85/180)π radians = 17/36π radians.

Then the arc length is ...

  s = (8 cm)(17/36π) ≈ 11.9 cm

The length of the 85° arc is about 11.9 cm.

Answer:

F. y = 4x +3

Explanation:

Comparing the values in the table and the given function, the equation that represents the same linear function in the table is:

Check

Answer: 97 degrees.

Step-by-step explanation: Supplementary angles sum to 180 degrees.

Therefore, 180-83 is 97.

Answer:

-100 (10*10)- (-10*-10) - (10*10)

Step-by-step explanation:

Answer:

The correct polynomial is F. Calculation errors combining h terms and distributing -1.

Step-by-step explanation:

\(( - 4h + 3)( {h}^{2} + 9h - 1)\)

\( - 4 {h}^{3} - 36 {h}^{2} + 4h + 3 {h}^{2} + 27h - 3\)

\( - 4 {h}^{3} - 33 {h}^{2} + 31h - 3\)

The measure of angle A and angle B are 31° and 59° respectively.

Complementary angles that sum up to 90 degrees.

Given the angles as;

We have that;

Angle A + Angle B= 90

Substitute the values

3x + 7 + 6x + 11 = 90

collect like terms

9x = 90 - 18

9x = 72

Make 'x the subject

x = 72/ 9

x = 8

Angle A = 3x + 7 = 3(8) + 7 = 31°

Angle B = 6x +11 = 6(8) + 11 = 59°

Thus, the measure of angle A and angle B are 31° and 59° respectively.

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Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

complementary angles are angles that sum up to 90 degrees.

Given the data in the question;

Since complementary angles sum up to 90 degrees.

Measure of angle A + Measure of angle B = 90°

Plug in the given values and solve for x.

(3x + 7) + (6x + 11) = 90

Collect like terms

3x + 6x + 11 + 7 = 90

9x + 18 = 90

Subtract 18 from both sides

9x + 18 - 18 = 90 - 18

9x = 72

x = 72/9

x = 8

Hence;

Measure of angle A = 3x + 7 = 3(8) + 7 = 24 + 7 = 31°

Measure of angle B = 6x + 11 = 6(8) + 11 = 48 + 11 = 59°

Given Angle A and angle B are complementary, the measure of Angle A and angle B are 31° and 59° respectively.

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The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.

The equation given is \(4x^{1/3}\)- x = 0

We need to solve it stepwise.

The first step will be to to move -x to RHS.

\(4x^{1/3}\)- x = 0

or

\(4x^{1/3}\) = x

The second step is to solve to get the values of x.

4x = x³

4x - x³ = 0

x (4 - x²) = 0

So , this will give us two equations which are ,

x = 0

and

4 - x² = 0

or

x² = 4

x = ± 2

So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.

Thus , the solutions will be x = -2, 0, 2.

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The missing side of the first triangle is 125' and the angle is 20.61°.

the missing side of the second triangle is 117' and the angle is 69.39°.

Having three edges and three vertices, a triangle is a three-sided polygon. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given the two triangles are congruent,

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. These triangles can be turned, flipped, rotated, and slid to create an identical appearance.

we can compare both the triangles and the remaining dimensions of triangle 1 are side = 125' and angle = 20.61°

and dimensions of second triangle are,

side = 117' and angle = 69.39°

Hence the dimensions of the first triangle, side = 125' and angle = 20.61°,

and for the second triangle, side = 117' and angle = 69.39°.

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Answer:

36

Step-by-step explanation:

Answer:

diameter = 36 inches

Step-by-step explanation:

diameter = circumference / π

diameter = 113.1/3.14 = 36 inches

The x value to solve the equation of 0.6x + 0.8 = 1.4 is 1.

Linear equation it can be defined as the relation between two variables so in the graph the linear equation will be get a straight line.

For the question is a one variable linear equation, because the equation only have one variable which is x variable. So to find x we can use subtract and divide operator.

Equation is,

0.6x + 0.8 = 1.4

We subtract both sides with 0.8. So,

0.6x + 0.8 - 0.8 = 1.4 - 0.8

0.6x = 0.6

Then we divide both sides with 0.6 to find the value of x. So,

0.6x/0.6 = 0.6/0.6

1x = 1

x = 1

Thus, the x value for the equation 0.6x + 0.8 = 1.4 is 1.

You question is incomplete, but most probably your full question was

Note: enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the equation. Explain each step and identify the property used to reach each step.

0.6x + 0.8 = 1.4

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Answer:

w+6=8 and w=2

Step-by-step explanation:

2(w+6) = 16

divide by two on both sides to remove the 2

w+6=16/2

w+6=8

  -6 (remove six from both sides)

w=2

A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

Mapping C represents a function.

To be a function, there must be one and only one y value (output) for every input value (x value).

Mapping C matches this criteria, thus it is a function.

Let me know if this helps!

The given expression is simplified using algebric operation. The simplified form of  (20x^5y^2/5x^-3y^7)-3​  is given by the expression:

[ y¹⁵/64×x²⁴]

Given :

Expression -   (20x^5y^2/5x^-3y^7)-3​

The given expression can be evaluated by using following steps:

Step 1 - Multiply numerator and denominator by x³

(20x^5y^2)x³/5x^-3y^7)x³^-3​

Step 2 - Multiply numerator and denominator by y⁻⁷

(20x^5y^2)x³y⁷/5x^-3y^7)x³y⁷^-3​

Step 3 - Further simplify the above expression.

Step 4 - Rearrange the above expression.

The simplified form of   is given by the expression:

[ y¹⁵/64×x²⁴]

hence we get the required answer.

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Answer:

The population was 3 times greater in 2010 than in 1970.

Step-by-step explanation:

To find how many times greater the population was, you divide the population from 2010 by the population in 1970.

\(\frac{2*10^{7} }{6.7*10^{6} } = 2.985\) ≈ 3

Hope this helps!

population was 3 times greater in 2010