In a video game, Clare scored 50% more points than Tyler. If c is the number of points that Clare scored and t is the number of points Tyler scored, which equations, are correct?

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

y=3

Explanation:

To solve this problem you must multiply x by 3.

It is important to know that July has 31 in total.

The probability of being born in July is

The probability of being born on a day that is multiple of 3 is

Because there are 9 days which are multiple of 3.

Then, we sum both probabilities.

Answer:

0.0667 = 6.67% probability that all seven machines are nondefective.

Step-by-step explanation:

The machines are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

10 machines means that \(n = 10\)

2 defective, so 10 - 2 = 8 work correctly, which means that \(k = 8\)

Seven are selected, which means that \(n = 7\)

What is the probability that all seven machines are nondefective?

This is P(X = 7). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 7) = h(7,10,7,8) = \frac{C_{8,7}*C_{2,0}}{C_{10,7}} = 0.0667\)

0.0667 = 6.67% probability that all seven machines are nondefective.

The circle is an illustration of tangent and secant lines, and the length of FE in the circle is 9.3 units

The lengths are given as:

Start calculating the length DF using:

DE * DF = CD²

So, we have:

12 * DF = 16²

Evaluate the exponent

12 * DF = 256

Divide both sides by 12

DF = 21.3

The length FE is then calculated using:

DF = FE + DE

Substitute DE = 12 and DF = 21.3

21.3 = FE + 12

Subtract 12 from both sides

FE = 21.3 - 12

Evaluate the difference

FE = 9.3

Hence, the length of FE in the circle is 9.3 units

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Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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Answer: LCM=672; HCF=12

Step-by-step explanation:

LCM=Least Common Multiple

HCF=Highest Common Factor

Factor of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Factor of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

From the list we can see, the highest common factor between 84 and 96 is 12.

The easiest way to find least common multiple is to time the numbers together and then divide it by their highest common factor.

84×96÷12=672

Answer:

k=8

Step-by-step explanation:

-5k + 3 = -86/-2

-5k +3 = 43

-5k = 43-3

k = 40/5

k = 8

Answer:

la respuesta es 80 pesos espero que te ayude

Answer:

5:6 --> 10:12

Step-by-step explanation:

A good way to think of this is to provide a perspective: there are 5 boys every time there is 6 girls. So if there is 10 boys, that means there would be 12 girls (because 5 *2 = 10 and 6*2 = 12).

tl:dr: 5 *2 = 10 so 6*2 = 12

Answer:

22

Step-by-step explanation:

K12 Says Its 22.

\(\frac{3}{y}=18 \\ \\ 3=18y \\ \\ y=1/6 \\ \\ \implies y+2=\boxed{13/6}\)

here x = option c and here y= option a

Answer:

Its about 1.50$

Step-by-step explanation:

i don't know the exact amount

To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Answer:

2 1/24

Step-by-step explanation:

1. \(\frac{7}{8} * \frac{7}{3}\)

2. \(\frac{7*7}{8*3}\)

3. \(\frac{49}{24}\)

4. \(2 \frac{1}{24}\)

Answer:

9 steps for the rope ladder

Step-by-step explanation:

The width of each step of the ladder 2 1/3 feet=2(3)+1 over three=7/3 feet

The length of the rope = 21 feet

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

Choice A.

Step-by-step explanation:

Every other choice has multiple of the same x-values that have different corresponding y-values.

The area of the shaded region of the figure is approximately 211.7 cm²

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Hence:

Area = ( Length × width ) - 2( πr² )

From the image:

Radius r = 10 cm

Length = 42 cm

Width = radius + radius = 10 + 10 = 20cm

Plug these values into the above formula:

Area = ( 42 × 20 ) - 2( π × 10² )

Area = ( 840 ) - 2( 100π )

Area = 840 - 200π

Area = 211.7 cm²

Therefore, the shaded region is 211.7 sqaured centimeters.

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The average rate of change of the function over the interval is -6

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

The graph

The interval is given as

From x = 2 to x = 4

The function is a quadratic function

This means that it does not have a constant average rate of change

So, we have

f(2) = -3

f(4) = -15

Next, we have

Rate = (-15 + 3)/(4 - 2)

Evaluate

Rate = -6

Hence, the rate is -6

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When 2 lines are perpendicular, the product of the slopes is equal to -1

Given x + 3y = 6

3y = -x + 6

y = -x/3 + 2

The slope is -1/3

Hence the slope of the line perpendicular to this

= -1/-1/3

= 3

Hence the equation of the line

y - -6 = 3(x - -1)

y + 6 = 3(x + 1)

y + 6 = 3x + 3

y = 3x + 3 - 6

y = 3x -3

The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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Answer:

hi

Step-by-step explanation:

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Bank account with an interest rate of r% per year = 2.5%

Simple Interest :

Simple interest paid or received over a certain period is a fixed percentage of the principal amount.

Simple Interest=P×\(\frac{r}{100} }\)×T

where:

P=Principal

r= interest rate on a certain period

T= Time

Given :

Principal(P)=  £1000

Time (T)= 1 Year

Find :

the interest rate per year = r%

Now,  

Interest earned on account =  £1025 - £1000

Simple Interest= £ 25

Simple Interest=P×\(\frac{r}{100}\)×T

25= 1000×\(\frac{r}{100}\)×1

25×100=1000r

2500=1000r

\(\frac{2500}{1000} =r\\\frac{25}{10} =r\\\frac{5}{2} =r\\2.5=r\)

r= 2.5%

the interest rate of r% per year. after one year the value of the account=2.5%

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​

Answer: $400

Step-by-step explanation:

Discount = 15%

The original price/value of an item is always 100%

So selling price (%) = original price - discount = 100%-15% = 85%

We got selling price as 85%

This implies that 85% = 340

Let's find 1% first, then 100%

1% = 340÷85 = 4

100% = 4 × 100 = $400

The usual (normal/original) price is $400

Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.

percentage, a relative value indicating hundredth parts of any quantity.

Let's represent the usual price of the bicycle by P.

Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).

We can express this relationship as an equation:

S = 0.85P

We also know that the selling price of the bicycle was $340.

Substituting S = $340 into the equation above, we get:

$340 = 0.85P

To find P, we can solve for it:

P = $340 / 0.85

P = $400

Therefore, the usual price of the bicycle was $400.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

The area of this triangle is (1/2)(9)(8) = 36.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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