if y varies inversely with x and x=-16 when y=12, find x when y = -6

Answer:

B

Step-by-step explanation:

Answer:

an equivalent expression: -14(-8x+12y)=112x-168y

factor of an equivalent expression: 36a−16=4(9a-4)

To determine the weight of Luigi's collection of old socks, we need to multiply the weight of one sock by the number of socks he has.

Given that each sock weighs 4/3 grams, and Luigi has a collection of socks, we can express the weight of Luigi's sock collection as:

Weight of sock collection = (4/3) * number of socks

However, the number of socks Luigi has is not provided in the given information. Without knowing the number of socks, we cannot determine the weight of Luigi's sock collection accurately.

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Answer:

14x+11<-31

14x<-42

x=-3

Hope This Helps!!!

Answer:

The answer is 36.

Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

First, divide 108 by 12.

The result is 9.

Now square root 9.

The result is 3.

Now, multiply 12 by 3.

The result is 36.

To check that this is the pattern, we multiply 36 by 3, and we indeed see that 3 times 36 is equal to 108.

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

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Answer:

1,558 cases of 12 cans of soup can be made

Step-by-step explanation:

Here, we want to calculate how many cases of cans of soup can be made;

In the first part, we had 325 cases of 24 cans

Now, if we split the 24 cans into 2 , we have 12 cans ; So the number of cases is now 325 * 2 = 650 cases

In the second part, we had 227 cases of 48 cans

If we split 48 cans into 4 , we can have 12 cans

So the new number of cases here become 227 * 4 = 908 cases

So the total number of cases we have will be;

908 + 650 = 1,558 cases

The number lines that have a point equal to point P, located at -40 on a number line ranging from -50 to +50, are the number lines that include -40 as one of their points.

A number line represents the set of real numbers in a continuous sequence. In this case, the number line extends from -50 to +50. Point P is located at -40 on this number line. To find the number lines that have a point equal to point P, we need to consider the number lines that include -40 as one of their points.

Since -40 is within the range of -50 to +50, all number lines within this range will have a point equal to point P. This includes number lines with a larger range, such as -100 to +100 or -1000 to +1000, as well as number lines with a smaller range, such as -10 to +10 or -30 to +30. In general, any number line that includes -40 as one of its points will have a point equal to point P.

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We cannot graph the equation y = 6 - 8/x as a linear function.

The equation 2/x + y/4 = 3/2 is not a linear equation because it contains variables in the denominator and the terms involving x and y are not of the first degree.

Linear equations are equations where the variables have a maximum degree of 1 and there are no terms with variables in the denominator.

To graph the equation, we can rearrange it into a linear form.

Let's start by isolating y:

2/x + y/4 = 3/2

Multiply both sides of the equation by 4 to eliminate the fraction:

(2/x) \(\times\) 4 + (y/4) \(\times\) 4 = (3/2) \(\times\) 4

Simplifying, we have:

8/x + y = 6

Now, subtract 8/x from both sides of the equation:

y = 6 - 8/x

The equation y = 6 - 8/x is not a linear equation because of the term 8/x, which involves a variable in the denominator.

This makes the equation non-linear.

Since the equation is not linear, we cannot graph it on a Cartesian plane as we would with linear equations.

Non-linear equations often result in curves or other non-linear shapes when graphed.

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

She went to go get the milk

Step-by-step explanation:

wait a minute ...............

Answer:

1.34 units.

Step-by-step explanation:

The line y = 2x - 5 has a slope of 2 so the line passing through the given point will be perpendicular to y= 2x - 5 and will have a slope of -1/2.

Let this line be y = -1/2x + c.

Its passes through (4, 6) so:

6 = -1/2*4 + c

6 = -2 + c

c = 6 + 2 = 8

So, equation of this line is y = -1/2x + 8.

Now we find the point where the 2 lines intersect:

y = 2x - 5

y = -1/2x + 8

2x - 5 = -1/2x + 8

2x + 1/2 x = 5 + 8

(5/2)x = 13

x = 26/5

  = 5.2.

and y = 2(5.2) - 5

          = 5.4.

So, the point of intersection is (5.2, 5.4)

and the distance between the point (4,6) and the line y = 2x - 5

= √((6 - 5.4)^2 + (4-5.2)^2)

= √(0.36 + 1.44)

= √1.8

= 1.34

There is a formula you can use directly to solve this.

Answer:

Simple B.

Step-by-step explanation:

0 is not equal to a whole number, for example, 1 is a whole number. but its a integer since it starts at the base of the graph. hope this helps, brainliest is always appreciated :3

Answer:

C. -4

Step-by-step explanation:

A. -9.6 Is neither an integer or a whole number.

B. 0 Is only a whole number but not an integer.

C. -4 Is only an integer but not a whole number.

D. 3.7 Is neither a fraction nor a whole number

Fractions are neither whole numbers nor are they integers.

Hope this helps! Brainliest?!?!?

Anyways have a great day! :))

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer: 22 goals.

Step-by-step explanation:

Given data:

Mean number of goals = 4.4

Number of games played = 5.

Range for goals scored = 6.

Solution:

Number of goals scored by the dolphins

= mean number of goals * number of matches played by the dolphins team.

= 4.4 * 5

= 22 goals

The dolphins team has scored 22 goals in 5 matches so far.

Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Answer:

greater than 1

Step-by-step explanation:

Answer:

greater than 1

Step-by-step explanation:

Answer:

\(\frac{\sqrt{10} }{2}\)

Step-by-step explanation:

Using cosine (since that is adjacent over hypotenuse), cos(60)=1/2 so your answer is hypotenuse*1/2=\(\sqrt{10}*\frac{1}{2}=\frac{\sqrt{10} }{2}\)

Answer:

\(x = \frac{\sqrt{10} }{2}\)

Step-by-step explanation:

Using Pythagoras Theorem:

The triangle has hypotenuse of √10 , opposite side x, angle 30°

Using the formula:

                                   \(sin(A) = \frac{opposite}{hypotenuse}\)

                                   \(sin(30)= \frac{x}{\sqrt{10} }\)

                                    \(x = sin(30) * \sqrt{10}\)

                                    \(x = \frac{\sqrt{10} }{2}\)

Answer:

a = 6.7

Step-by-step explanation:

\(a^{2} + b^{2} = c^{2} \\\\a^{2} + 9.3^{2} = 6.4^{2} \\\\a^{2} + 86.49=40.96\\= 45.53\\\\\sqrt{45.53} \\= 6.7\\a= 6.7\)

The X and Y intercepts of the following equations are:

(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]

(b) Y = X - 2 : intercepts are [ 2 , -2 ]

To find the x-intercept we put y = 0 and solve the equation for x. This is because when y = 0 the line crosses the x - axis. To find y-intercept: put      x = 0 and solve for y. See the attached figure for understanding the intercepts.

For example: Find the X and Y intercepts of the equation: X - Y = 5.

for X intercept put Y = 0, we get X = 5

for Y intercept put X = 0, we get Y = -5

Here, we have (a) equation Y = 3X - 1

For X intercept put Y = 0, we get X = 1/3

For Y intercept put X = 0, we get Y = -1

so, the X and Y intercepts of the equation Y = 3X - 1 are [ 1/3, -1 ]

now, we have (b) equation Y = X - 2

For X intercept put Y = 0, we get X = 2

For Y intercept put X = 0, we get Y = -2

so, the X and Y intercepts of the equation Y = X - 2  are [ 2 , -2 ]

Hence, The X and Y intercepts of the following equations are:

(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]

(b) Y = X - 2 : intercepts are [ 2 , -2 ]

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Find the X and Y intercept of the following equation:

(a) Y = 3X - 1

(b) Y = X - 2

Hello.

Use the Distributive Property which states

a(b+c)=ab+ac

Simplify:

\(\hookrightarrow\) \(\mathrm{3(9k-1)}\)

\(\hookrightarrow\) \(\mathrm{27k-3}\)

Be sure to multiply 3 by both terms inside the parentheses.

I hope it helps.

Have an awesome day.

\(\boxed{imperturbability}\)

Hey there!

The Distributive Property states that

a(b+c)=ab+ac

where

a, b, and c can be either constants or variables.

Now that we know what the property states, let's simplify:

3(9k-1)

multiply:

3 times 9k and 3 times -1

27k-3

Hope everything is clear.

Let me know if you have any questions!

#LearningIsFun

Answer:

It’s neither

Step-by-step explanation:

4(x+2) = 4x +8 and neither Jason nor Isabella got it

Answer:

(D) 1/9

Step-by-step explanation:

9x-2=-3

9x=1

x=1/9

Answer:

-7.3

Step-by-step explanation:

You can't subtract a negative number. Enjoy and brainliest would make my day :D

Answer:

-7.3

Step by step explanation:

−2.4−4.9

=−2.4−4.9

=−2.4+−4.9

=−7.3

Answer:?=93/14

Step-by-step explanation:

the ? is the variable in this equation so we have to solve for it

1. distributive property ->

5(?+3) = 5?+15

?(6+3) = 9?

so 5?+15+9?=108 -> 14?+15=108

2. then solve,

14? -15 = 108 -15

14?=93

?=93/14

Answer:

length = 9 in

width  = 5 in

Step-by-step explanation:

         Area of square =side * side

                Side² = 49

                Side = √49

                        = 7  inches

Let the measurement added to the length and removed from the width be 'x'.

length = (7 + x) in

width = (7 -x )in

Area of rectangle = length *width

       length * width = 45 square inches

      (7 + x)(7-x)         = 45

{Identity: (a + b)(a -b) = a² - b² where a = 7 & b = x}

       7² - x²  = 45

       49 - x² = 45

             -x²  = 45 - 49

            -x²   = - 4

               x²  = -4 ÷ (-1)

              x² = 4

               x = √4

              x = 2

Dimension of the rectangle:

         length =7 + 2 = 9 in

         width  = 7 - 2 = 5 in

According to the given statement The required number of ways the excursion party can be chosen is 1,057,523,766.

The given problem is a permutation problem, where we have to choose 10 students from a class of 25 students. But, there are 3 students who decided to join together or not join together.

Therefore, we need to consider two cases; one where these 3 students will be joining together and another where these 3 students will not join together.

Case 1: If these 3 students will be joining together, then we can select 7 more students from 22 students excluding these 3 students.

Therefore, the required number of ways = 22P7.

Case 2: If these 3 students will not be joining together, then we need to select either all three or none of them. Therefore, the remaining 7 seats can be filled with 22 - 3 = 19 students.

So, the required number of ways = 19P7.

We know that, the total number of ways to select 10 students from 25 students = 25P10.

So, the required number of ways when three students want to join together or not join together = (22P7) + (19P7) (Since the three students either join together or not join together)The value of 22P7 is given by the formula, nPr = n! / (n - r)!.

Therefore, 22P7 = 22! / 15! (22 - 7)! => 1,048,101,600

The value of 19P7 is given by the formula,

nPr = n! / (n - r)!.

Therefore, 19P7 = 19! / 12! (19 - 7)!

=> 9,422,166

Total ways = (22P7) + (19P7) => 1,048,101,600 + 9,422,166

=> 1,057,523,766

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The number of ways to choose the excursion party can be calculated by considering two cases: one where the 3 students who want to join together are chosen, and another where they are not chosen. The excursion party can be chosen in 682,606 ways from a class of 25 students.

Case 1: All 3 students join the excursion party
In this case, we need to choose the remaining 7 students from the remaining 22 students (since 3 students are already chosen). This can be done in C(22,7) ways, where C(n,r) denotes the number of combinations of selecting r items from a group of n items. Therefore, in this case, the number of ways to choose the excursion party is C(22,7).

Case 2: None of the 3 students join the excursion party
In this case, we need to choose all 10 students from the remaining 22 students (since none of the 3 students are chosen). This can be done in C(22,10) ways.

To find the total number of ways to choose the excursion party, we need to sum up the number of ways from both cases: C(22,7) + C(22,10).

Now, let's calculate the values of C(22,7) and C(22,10) using the formula for combinations:

C(n,r) = n! / (r!(n-r)!)

C(22,7) = 22! / (7!(22-7)!)
C(22,7) = 22! / (7!15!)
C(22,7) = (22*21*20*19*18*17*16) / (7*6*5*4*3*2*1)
C(22,7) = 35,960

C(22,10) = 22! / (10!(22-10)!)
C(22,10) = 22! / (10!12!)
C(22,10) = (22*21*20*19*18*17*16*15*14*13) / (10*9*8*7*6*5*4*3*2*1)
C(22,10) = 646,646

Therefore, the total number of ways to choose the excursion party is 35,960 + 646,646 = 682,606.

So, the excursion party can be chosen in 682,606 ways from a class of 25 students.

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Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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The probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles is approximately 0.0811 or 8.11%.

To find the probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles, we need to calculate the z-scores for both values and use the standard normal distribution.

First, we calculate the z-score for 56,010 miles:
z = (56010 - 60000) / 1900 = -2.11

Next, we calculate the z-score for 56,580 miles:
z = (56580 - 60000) / 1900 = -1.79

Now, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores:

P(-2.11 < Z < -1.79) = 0.0811

Therefore, the probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles is approximately 0.0811 or 8.11%.

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