lin's family needs to travel 325 miles to reach her grandmother's house. how far have they traveled when they have completed 72% of the trip's distance?

Answer:

3 pounds 2 oz

Step-by-step explanation:

1 pound = 16 oz

x pounds = 50 oz

Cross Multiply

16x = 50 oz             Divide by 16

x = 50 / 16

x = 3 pounds with 2 oz left over.

Your calculator will give you 3.125

0.125 = 1/ 8

1/8 * 16 = 2

Step-by-step explanation:

hope it helps.

Answer:

x=±√9 or x= 3, x=-3

Step-by-step explanation:

The problem requires us to find the x.

So we must isolate the variable, as so-

\(5x^2-45=0\\5x^2=45\) (add 45 to both sides)

Now we can divide both sides by -

\(5x^2=45\\x^2=9\)

Now we must square root both sides to find the root of x.

\(\sqrt{x^2} =\sqrt{9}\)

x=±√9

or x= 3, x=-3

We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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The expression representing number of slices of pizza ate by Riley is equal to (2/3 ) of total slices of one small pizza is given by  n = (2/3) × p.

Let us consider 'n' represents the number of slices of pizza Riley eats

Here 'p' represents the total number of slices of one small pizza.

If Riley eats two-thirds (2/3) of a small pizza with p slices,

Then the number of slices of pizza Riley eats can be represented by the expression,

Number of slices of pizza Riley eats  

= ( 2/3 ) × Total number of slices of one small pizza

⇒ n = (2/3) × p

Therefore, the expression represents two-thirds of the total number of slices in the pizza, which is the amount that Riley eats is equal to n = (2/3) × p

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The above question is incomplete, the complete question is:

Riley eats 2/3 of one small pizza with p slices. Enter an expression to represent the number of slices of pizza Riley eats. ​

Answer: it would be the fourth one with the line going straight across the top

Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

The fourth graph represents a function as per the vertical line test.

To determine the function:

Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.

The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.

There is a range, co-domain, and domain for every function.

As per the given graphs,

the first three graphs do not represent a function.

only the fourth graph represents a function.

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Answer:

n - 3 > 5

Number = "n"

Less than = (minus sign) -

Greater than = >

A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

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Answer:

729

Step-by-step explanation:

Answer:

78°

Step-by-step explanation:

angle CAW=180-168

angle CAW=12

angle DWB=12 vertically opposite to angle CAW

Sum of angles at a point=360

168+12+12+90+w=360

282+w=360

Collect like terms

w=360-282

w=78

a) P(x=7) can be calculated by substituting x=7 into the given probability mass function: f(7) = 7(7+1)/2 = 7(8)/2 = 56/2 = 28.

b) P(x>6) represents the probability that x is greater than 6. Since the discrete random variable x can take any whole number greater than or equal to 1, the probability of x being greater than 6 is the sum of the probabilities of x being 7, 8, 9, and so on. To calculate this, we can find the sum of the probabilities for each individual value of x greater than 6.

P(x>6) = P(x=7) + P(x=8) + P(x=9) + ...

We can plug in the values of x one by one into the given probability mass function and sum up the results.

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Answer:

11/8

Step-by-step explanation:

Simplify 11/4 = 2 3/4

half of 2 = 1

half of 3/4 = 3/8

1 3/8 changed to an inproper fraction = 11/8

As per the temperature, the population of Salmonella bacteria in the salad will double approximately every 2.87 hours if the conditions for growth remain constant.

The population of Salmonella bacteria can increase over time if they have the necessary nutrients and temperature for growth. In this case, we have a cutting board contaminated with Salmonella bacteria, which ends up in a salad. The number of bacteria present in the salad after t hours is given by the formula S(t) = 250 x 6t, where t is the time in hours.

To understand how often the population of bacteria doubles, we need to look at the growth rate of the bacteria.

To calculate the doubling time, we can use the formula Td = ln(2) / r, where Td is the doubling time, ln is the natural logarithm, and r is the exponential growth rate. In this case, the growth rate can be found by taking the derivative of S(t) with respect to t, which gives us r = 6ln(6).

Plugging in the values, we get Td = ln(2) / 6ln(6) = 2.87 hours

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The answer is 50 grams of salt in the tank at all times.

To find the number of grams of salt in the tank at time t, we need to use the formula:

a(t) = a(0) + (r - p) * t

where a(0) is the initial amount of salt in the tank, r is the rate at which brine is being pumped into the tank, p is the rate at which the solution is being pumped out of the tank, and t is the time elapsed.

In this case, a(0) = 50 grams, r = 3 grams per minute (since the brine contains 1 gram of salt per liter and 3 liters are being pumped in per minute, so 3 grams of salt are being added per minute), and p = 3 grams per minute (since the solution is being pumped out at the same rate as it is being pumped in). Therefore, we can simplify the formula to:

a(t) = 50 + 0 * t
a(t) = 50 grams

This means that the amount of salt in the tank remains constant over time, since the rate at which it is being pumped in and out is equal. Therefore, the answer is 50 grams of salt in the tank at all times.

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You may determine the greatest potential error, relative error, and percentage error by defining the volome and area of a cube.

The maximum volume mistake is 337.5 cm3.

The volume's relative inaccuracy is 0.1.

The inaccuracy is 10% of the total.

The largest surface area error is 90 cm2.

The surface area relative error is 0.0667.

The volume inaccuracy as a percentage is 6.67%.

Side3 = volume (side x side x side).

The exponent times the base raised to the power minus one makes up the derivative of a power.

In other words, the derivative of a number x raised to the power n is equal to n times xn1.

The volume expression is then obtained by deriving it as follows:

dV/dx=3×side²

So:

dV=3×side²×dx

With a potential measuring error of 0.5 cm, the edge of a cube was discovered to be 15 cm long. This means that side is 15 cm and dx is 0.5 cm. You get: by substituting in the previous expression:

dV = 3 (15 cm) 2 (0.5 cm)

dV=337.5 cm³

The maximum volume mistake is 337.5 cm3.

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Answer:

90°

Step-by-step explanation:

Angle C = arccos((84²+13²-85²)/(2×84×13))

= arccos(0/2184)

= arccos(0)

= 90°

Answered by GAUTHMATH

The sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.

What is mean ?

The mean is the set of two or more numbers' mathematical average. It is possible to calculate two different sorts of means: the arithmetic mean and the geometric mean. Add the numbers in a set together and divide by the total number of numbers in the set to find the arithmetic mean.

Here the mean of 10 number is 27. We know that ,

Mean = Sum of numbers / Total numbers.

=> 27= sum of numbers/10

=> sum of numbers = 27*10=270.

Now 5 added to each number, we need to add 5 in 10 times( because 10 total number), Then 5*10=50.

Sum of numbers after adding 5 to each number = 270+50=320.

Now mean = 320/10 = 32.

Hence the sum of number is 270, after adding 5 to each number , sum of numbers is 320 and mean is 32.

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Answer:

30mm squared

Step-by-step explanation:

The area of a triangle is b x h /2

Therefore, 5x12/2=30

Answer:

30mm squared

Step-by-step explanation:

The area of a triangle is b x h /2

There for 5x12/2=30

you also can add 5+12+13=30

Answer:

-11

Step-by-step explanation:

Answer:

c(n) = -9/2 (-4/3)^ (n-1)

The 2nd term is 6.

Step-by-step explanation:

This is an explicit formula. In order to find the 2nd term, you need to plug in n=2.

Answer:

X=5

Step-by-step explanation:

3+12x=63

Subtract 3 from both sides

12x=60

Divide both sides by 12

X=5

Answer:

Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

/3  + 1 2  = 63

3(​x/3 + 12x) = 3.63

Simplify

37x = 189

Divide both sides of the equation by the same term

37x = 189

37x / 37 = 189 / 37

Simplify

x = 187 / 39

OR

x = 4.794872

The octagon's remaining equal angles are each 121.5 degrees.

The sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n - 2) * 180 °

where n is the number of sides of the polygon.

In the case of an octagon, which has 8 sides, the sum of the interior angles is:

Sum of interior angles = (8 - 2) * 180°

= 6 * 180°

= 1080°

Now, we subtract the known angles from the sum:

1080 ° - (120 ° + 110° + 130 ° + 144° + 90°) = 486°

We are left with 486 °, which is the sum of the equal angles in the octagon. Since there are four equal angles remaining, we divide 486 ° by 4:

486° / 4 = 121.5°

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The size of each of the equal angles is 162 degrees. All the remaining three angles are equal to each other and have a value of 162 degrees.

We know that the sum of all interior angles in a polygon = (n-2)180

where n is the number of sides of that polygon.

In this case, we have an octagon,

The sum of all interior angles in an octagon = (8-2) 180

n = 8 ( an octagon has 8 sides)

The sum of all interior angles in an octagon, A = 1080 degrees.

Sum of given angles = 120 + 110 +130 +144 + 90 = 594

We have 3 more angles in the octagon which are all equal, let's say x

A + x + x + x = 1080

594 + 3x = 1080

3x = 486x

x = 162 degrees

Hence, the remaining equal angles are 162 degrees.

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The process capability ratio is approximately 0.67 (option A).

To calculate the process capability ratio, we need to use the following formula:

Process Capability Ratio = (Upper Specification Limit - Lower Specification Limit) / (6 * Process Standard Deviation)

Given the following values:

Upper Specification Limit = Diameter + Tolerance = 6.77 cm + 0.01 cm = 6.78 cm

Lower Specification Limit = Diameter - Tolerance = 6.77 cm - 0.01 cm = 6.76 cm

Process Standard Deviation = 0.005 cm

Plugging these values into the formula, we have:

Process Capability Ratio = (6.78 cm - 6.76 cm) / (6 * 0.005 cm)

Process Capability Ratio = 0.02 cm / 0.03 cm

Process Capability Ratio ≈ 0.67

Therefore, the process capability ratio is approximately 0.67. The correct answer is A) 0.67.

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Answer:

The length of the rectangle is 17 yards and the width of the rectangle is 14 yards.

Explanation:

To find the perimeter of the rectangle, you had to add twice the length of the rectangle to twice the width of the rectangle since the shape of a rectangle is made up of two legs (each representing the rectangle's length) and two legs (each representing the rectangle's width.

The perimeter can be mathematically seen as p = 2l+2w, where p is the amount corresponding to the perimeter of the rectangle, l is the amount representing the length of the rectangle, and w is the quantity reflecting the width of the rectangle. This equation can be modified using the equation l = w+3, since it is given that the length is 3 yards longer than the width.

Therefore, the p = 2l+2w equation can be modified to solve for w using the given conditions and the equation defining l.

p = 2l+2w  

p = 2(w+3)+2w               [Substituting l = w+3]

p = 2w+6+2w

p = 4w+6

p-6 = 4w+6-6

p-6 = 4w

(p-6)/4 = 4w/4

w = (p-6)/4

w = (62-6)/4                  

w = 56/4

w = 14

Now the length of the rectangle can be determined using the equation l = w+3.

l = 14+3 = 17

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Answer:

x=8, y=15 degrees

Step-by-step explanation:

3x-13=x+3

3x=x+16

2x=16

x=8

(180-90)÷2=45

45÷3=15

y=15

Answer:

If two triangles are not congruent, then their corresponding angles are not congruent.

Step-by-step explanation:

The inverse is when both the hypothesis and conclusion are negative (if not p, then not q).

Answer:

If two triangles are not congruent, then their corresponding angles are not congruent.

Answer:

the last one

Step-by-step explanation:

its correct click it

The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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Answer:

4x + 1.5y = 5,050 then replace x with 1000 then solve for y. which equals 700

so that day there were 700 children

Step-by-step explanation:

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