Elaina charged $83 on her credit card to buy groceries. If the
balance is now $294, what was the balance before she bought
groceries?

Answer: A. n - 5/12 + 5/12 = 1/6 + 5/12

Step-by-step explanation:

Add 5/12 to both sides and then simplify

Answer:

A n-5/12 +5/12=1/6+5/12

Answer:

work is shown and pictured

The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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In 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

In 2006, the combined membership of the five mainline Protestant churches (Baptist, Episcopal, Lutheran, Methodist, and Presbyterian) was approximately 65% of the total Protestant membership. This can be expressed as a formula:

Proportion of Mainline Protestant Membership = (Baptist Membership + Episcopal Membership + Lutheran Membership + Methodist Membership + Presbyterian Membership) / Total Protestant Membership

To calculate the proportion of mainline Protestant membership in 2006, we can apply the formula:

Proportion of Mainline Protestant Membership = (9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000) / (14,280,000 + 9,277,000 + 2,231,000 + 5,255,000 + 8,422,000 + 2,866,000)

Proportion of Mainline Protestant Membership = 29,106,000 / 35,050,000

Proportion of Mainline Protestant Membership = 0.83, or 83%

Therefore, in 2006, the five mainline Protestant churches accounted for 83% of the total Protestant membership.

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The function whose graph will have the steepest slope is: y = 5/2x.

The slope of a function as modelled by the equation, y = mx, is represented as m in the equation.

The greater the value of the slope, m, of the graph that represents the function, the steeper the graph, irrespective of whether the value is negative or positive.

In the function y = -2x, the slope, m, is -2.

In the function y = -1/2x, the slope, m, is -1/2.

In the function y = 3/2x, the slope, m, is 3/2.

In the function y = 5/2x, the slope, m, is 5/2.

5/2 is greater than -2, 3/2, and -2. Thus, the function that will have the steepest is y = 5/2x.

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Answer:

Yes!

Step-by-step explanation:

If you distribute 4 into 3x-y, you will get the same thing (12x-4y) meaning they are equivalent.

Answer:

Yes

Step-by-step explanation:

4(3x - y)           |        12x - 4y

12x- 4y            =       12x - 4y

hence they are equivalent

Answer:

480 calories

Step-by-step explanation:

(240/30)=(400/50)=(x/60)

Therefore

(240/30)=(x/60)

8=(x/60)

8*60=x

480=x

The conversion rate is the proportion of sales leads that become paying clients, or the proportion of clients who make a purchase.

The percentage of sales leads that become actual customers, or customers who make a purchase, is known as the conversion rate. It is a crucial number for e-commerce companies since it allows them to assess the success of their sales and marketing initiatives.  The conversion rate is derived by dividing the total number of leads by the number of successful sales or conversions. It gauges how effectively a website converts leads into paying clients. Companies can improve their websites and marketing tactics to raise conversion rates by measuring conversion rates and identifying areas for improvement. Additionally, businesses can utilise conversion rate to assess the efficiency of various marketing initiatives and campaigns and identify the ones that are most successful at generating sales.

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Answer:

we know brainly.com/question/24497563?answering=true&answeringSource=feedPublic%2FhomePage%2F4

Step-by-step explanation:

Step-by-step explanation:

PLS MARK ME AS BRAIN LIST ANSWER

There are 7 people in Mr. Wilson's class, as Zach is the second person and Mary is the seventh person.

To calculate the total number of people in the class, we can use the formula 2x = 7, where x is the total number of people. Solving for x, we get x = 7.

To determine the number of people in Mr. Wilson's class, we can use the formula for the number of people in a circle, which is N = 2(n-1), where n is the number of people standing opposite each other in the circle. In this case, n is 2 (Zach and Mary). Therefore, N = 2(2-1) = 2 people. However, since there are 7 people in total in the circle, we can conclude that the number of people in Mr. Wilson's class is 7. To explain further, based on the given information, we can say that Zach is the second person, which means there are 2 people before him in the circle. Therefore, there are 7 people in Mr. Wilson's class. To further explain, we can break down the equation as follows: The person opposite of Zach is the seventh person, or 7th, so we can say that 7 is equal to the number of people in the class multiplied by 2, or 2x. Then, solving for x, we get x = 7. This means that the total number of people in the class is 7.

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The probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

A normal distribution is a probability distribution that has been symmetrical around this mean, with most observations clustering around the central peak and probabilities tapering off evenly in both directions.

Now, according to the question,

The formula for normal distribution is;

z = (x - μ)/(σ/√s)

x is the sample size (= 96)

μ = standard mean (= 92)

σ = standard deviation (= 10)

s = random sample (= 28)

Substituting all the values in the equation;

z = (96 - 92)/(10/√28)

z = 2.117

Now, calculate the probability;

P(X > 96) = 1 - P(X ≤ 96)

               = 1 - P(X ≤ 2.117)

               = 1 - 0.98285

P(X > 96) =  0.01715

Therefore, the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm is 0.01715.

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The complete question is-

The reading speed of a second grade students in a large city is approximately normal with a mean of 92 words per minute and a standard deviation of 10 wpm. What is the probability that a random sample of 28 second grade students from the city results in a mean reading rate of more than 96 wpm?

Answer:

The equation needs to be in standard form

Step-by-step explanation:

The equation needs to be in standard form

so the the coefficients a, b and c can be determined

for use in the quadratic formula

Answer:

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Step-by-step explanation:

Step(i):-

Given that x =3 and y=-4

i)  (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11

ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8

Step(ii):-

Given equation  

                    x² + y² = 25

we can choose (x,y) = ( 3 , -4)

                 3²+(-4)² = 25

                     25    = 25

The ordered pair ( 3,-4) satisfies the equation

second ordered pair ( 3 ,4)

                        x² + y² = 25

                       9 + 16 = 25

                           25 = 25

Final answer:-

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Answer:

The height of the totem tree is approximately 172.8ft

Step-by-step explanation:

Hello,

To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.

See attached document for better illustration.

Let T represent the height of the pole.

Using trigonometric ratio,

SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.

Tanθ = opposite/ adjacent

Opposite = T

Adjacent = 20ft

θ = 83.4°

Tan83.4 = T / 20

T = 20Tan83.4

T = 20 × 8.64

T = 172.8ft

The height of the totem tree is approximately 172.8ft

Answer:

Deck | 60 zed

wheels | 14 zed

trucks. | 16+16 32 zed

Hardware | 10 zed

total. | 116 zed

remaining 4 zed

Step-by-step explanation:

hope this helps

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Based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

It is used to predict and estimate the likelihood of future events and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of rolling next is a 4:

The total number of times the die was rolled is:

⇒ 8 + 4 + 3 + 9 + 2 + 4 = 30

The number of times the die landed on 4 is 9.

Then, the probability of rolling next a 4 is:

⇒ 9/30 = 3/10

⇒ 9/30 = 0.3

Therefore, based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

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The solution to the system of equations is x = 7 and y = -3

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

5x + 2y = 29

5x - 2y = 41

Add both equations

So, we have

10x = 70

Divide the equation by 10

So, we have

x = 7

Substitute x = 7 in 5x - 2y = 41

5 x 7 - 2y = 41

This gives

35 - 2y - 41

Evaluate

2y = -6

Divide by 2

y = -3

Hence, the solution to the system of equations is x = 7 and y = -3

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Triangle ABC's side BC measures roughly 4.17 inches when side AB's length is 10 inches, according to our analysis of the similarities between triangles XYZ and ABC.

In the described situation, the angle X of the right triangle XYZ is 90 degrees.

XY = 5 inches and XZ = 12 inches are the lengths of the other two sides.

We are also informed that triangle XYZ and triangle ABC are comparable, with angle A being 90 degrees and side AB being 10 inches in length.

The length of side BC needs to be determined.

The corresponding sides of the two triangles are proportionate because they are comparable.

Let's use the ratio of corresponding sides to find the length of BC.

In triangle XYZ, the ratio of XY to XZ is equal to the ratio of BC to AB. Therefore:

XY / XZ = BC / AB

Plugging in the given values:

5 / 12 = BC / 10

To solve for BC, we can cross-multiply:

\(5 \times 10 = 12 \times BC\)

\(50 = 12 \times BC\)

Dividing both sides by 12:

50 / 12 = BC

Simplifying the expression:

BC ≈ 4.17 inches

Therefore, the length of side BC in triangle ABC is approximately 4.17 inches.  

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Question may be like:

In a right triangle XYZ, angle X is 90 degrees. The lengths of the other two sides, XY and XZ, are 5 inches and 12 inches, respectively. If triangle XYZ is similar to triangle ABC, where angle A is 90 degrees, and the length of side AB is 10 inches, find the length of side BC.

The no. of miles driven for the cost of using Taxi A to be $2 greater than the cost of using Taxi B is; 10 miles.

For taxi A;

For taxi B;

According to the question;

I.e; When m = m; C(a) = C(b) + 2.

Therefore;

The no of miles driven can then be evaluated by solving the equation simultaneously;

Substraction of eqn(2) from (1) ; we have;

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The coordinates of the point that partitions the segment into a ratio of 4 to 3 are approximately (-7.76, -3.63) and (8.58, -1.01).

To discover the coordinates of the factor that walls the directed line phase from (−10, 2) to (−3, −5) right into a ratio of 4 to 3, we will use the following steps:

step 1: discover the total distance of the phase

to find the full distance of the segment, we are able to use the distance formula:

d = √ ((x2 - x1)² + (y2 - y1)²)

plugging within the given coordinates, we get:

d = √ ((-3 - (-10))² + (-5 - 2)²)

d = √ (49 + 49)

d = √ (98)

therefore, the overall distance of the phase is √ 98.

Step 2: find the coordinates of the partition point

to permit the partition points to be (x, y). We can set up the subsequent equation based on the ratio of 4 to 3:

√ ((x - (-10))² + (y - 2)²) / √ ((x - (-3))² + (y - (-5))²) = 4/3

simplifying this equation, we get:

3√ ((x + 10)² + (y - 2)²) = 4√ ((x + 3)² + (y + 5)²)

squaring both facets and simplifying, we get:

25x² - 242x - 75y² + 200y + 1859 = zero

fixing for y in terms of x, we get

y = (4x - 319) / 75

substituting this into one of the coordinates of the authentic section, we will remedy for x:

-5 = (3(x + 3) + 4(2x - 319)/75) / 7

simplifying this equation, we get:

25x² - 913x + 16728 = 0

the use of the quadratic system, we get:

x = (-(-913) ± √ ((-913)² - 4(25)(16728))) / (2(25))

x ≈ -7. 76 or x ≈ 8. 58

substituting these values back into the equation for y, we get:

y ≈ -3. 63 or y ≈ -1. 01

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Answer:

200m/s

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

Step-by-step explanation: 1 of them

The trade discount when the supplier offers trade discount rates of 20/10/5 is $1580.

Subtract the trade discount from 100% and change to decimals. This will be:

= 100% - 20% = 0.8

= 100% - 10% = 0.9

= 100% - 5% = 0.95

The net price factor will be:

= (0.8 × 0.9 × 0.95)

= 0.684

The single equivalent discount will be:

= 1 - Net price factor

= 1 - 0.684

= 0.316

The trade discount will be:

= Price × Discount

= $5000 × 0.316

= $1580

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Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

To find the median d of set M, we first need to arrange the numbers in ascending order and then determine the middle value. Set M contains the numbers 37, 45, 7, 12, 21, 22, and n. We know n is a positive integer.

First, arrange the known numbers: 7, 12, 21, 22, 37, 45. Next, consider the position of n in the sorted sequence:

1. If n ≤ 7, the sorted sequence becomes: n, 7, 12, 21, 22, 37, 45.
2. If 7 < n ≤ 12, the sorted sequence becomes: 7, n, 12, 21, 22, 37, 45.
3. If 12 < n ≤ 21, the sorted sequence becomes: 7, 12, n, 21, 22, 37, 45.
4. If 21 < n ≤ 22, the sorted sequence becomes: 7, 12, 21, n, 22, 37, 45.
5. If 22 < n ≤ 37, the sorted sequence becomes: 7, 12, 21, 22, n, 37, 45.
6. If 37 < n ≤ 45, the sorted sequence becomes: 7, 12, 21, 22, 37, n, 45.
7. If n > 45, the sorted sequence becomes: 7, 12, 21, 22, 37, 45, n.

Since there are 7 numbers in the set, the median d will be the 4th value. In all cases, the 4th value remains 21. Therefore, the value of d is 21.

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Answer:

13 bags

Step-by-step explanation:

V = π(2^2)(1/2) = 2π = 6.28 cubic feet

6.28 ÷ .5 = 12.56

So Martin needs to buy at least 13 bags of sand.

Answer:

A

Step-by-step explanation:

Hours worked, probably because of commission or bonuses (the other ones seem to be proportional)

Answer:

how many brothers do you have?

Answer:

7.9

Step-by-step explanation:

7.87400787401