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Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest

Step-by-step explanation:

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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Approximately 10 out of 500 pregnancies in this city would expect to last at least 300 days. The lengths of human pregnancies in one city are normally distributed, we can use the normal distribution to estimate the number of pregnancies that lasted at least 300 days.

We know that the lengths of human pregnancies in this city are normally distributed with a mean of 269 days and a standard deviation of 15 days.
We want to know how many out of 500 pregnancies would be expected to last at least 300 days.

First, we need to find the z-score for a pregnancy lasting 300 days:
z = (x - μ) / σ
z = (300 - 269) / 15
z = 2.07

Next, we can use a z-table or calculator to find the probability of a z-score of 2.07 or higher. This tells us the proportion of pregnancies that would last at least 300 days.
Using a z-table, we find that the probability of a z-score of 2.07 or higher is 0.0192.
To find the number of pregnancies out of 500 that would last at least 300 days, we can multiply this probability by 500:
0.0192 x 500 = 9.6

Rounded to the nearest whole number, we would expect approximately 10 out of 500 pregnancies in this city to last at least 300 days.

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Answer:

67.5°

Step-by-step explanation:

From the diagram attached, it can be seen that <BAD = 90° (right angled). Also <BAD = <CAD + <BAC

From the question, we are told that the measurement of CAD is three times measurement of BAC, this means <CAD = 3<BAC

substituting this condition into the formula above:

<BAD = 3<BAC + <BAC

<BAD = 4<BAC

4<BAC = 90

<BAC = 90/4

<BAC = 22.5°

Next is to get <CAD:

<CAD = 3<BAC

<CAD = 3(22.5)

<CAD = 67.5°

Hence the measurement of <CAD is 67.5°

Answer:

Inequality: \(\frac{x}{2} \leq 3\)

Solved: \(x\leq 6\)

Step-by-step explanation:

\(\frac{x}{2} \leq 3\)

\(x\leq 6\)

Leah and Josh should expect to pay approximately $1,204.31 in prepaid interest at the closing.

What is interest?

Interest is the amount of money that is paid or earned for the use of borrowed or invested funds. When someone borrows money, they typically have to pay back the principal (the amount borrowed) plus interest, which is usually calculated as a percentage of the principal.

To calculate the prepaid interest at closing, we need to first determine the loan amount, which is the purchase price of the home minus the down payment:

Purchase price = $550,000

Down payment = 14% of $550,000 = $77,000

Loan amount = $550,000 - $77,000 = $473,000

Next, we need to calculate the daily interest rate by dividing the APR by 365:

Daily interest rate = 3.70% / 365 = 0.010137%

Finally, we can calculate the prepaid interest by multiplying the loan amount by the daily interest rate and the number of days from the closing date to the end of the month:

Number of days from September 6 to September 30 = 25

Prepaid interest = $473,000 x 0.010137% x 25 = $1,204.31

Therefore, Leah and Josh should expect to pay approximately $1,204.31 in prepaid interest at the closing.

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The decimal value of the floating-point number 110000001111110... is approximately -0.000000015935.

A 32-bit binary number is the floating-point number 010000010110100000... We must interpret its components in accordance with the IEEE 754 standard for single-precision floating-point representation before we can convert it to decimal.

The number's sign is represented by the first bit, which is 0. The number is positive because it is zero.

The exponent is represented by the next eight bits, 10000010 The bias value, which is 127 for single-precision, needs to be subtracted in order to determine the exponent's decimal value. As a result, the value of the exponent is -25: 10000010 - 127.

The binary fractional part is represented by the remaining 23 bits, which are 110100000... Summing the series of 2(-i) for each bit I that is set to 1, we convert the fractional part to a decimal fraction for the purpose of determining its decimal value. The series is as follows, starting with the leftmost bit:

The decimal value of the floating-point number is then calculated as follows: 1/2 + 1/8 + 1/16 + 1/32 = 0.53125.

The floating-point number 010000010110100000... has a decimal value of approximately 0.0000000938776, which is equal to (-1)0 * 1.53125 * 2(-25).

8th Question: The 32-bit binary number 110000001111110... is a floating-point number. Using the same procedure as before:

The number's sign is represented by the first bit, which is 1. The number is negative because it is 1.

The exponent is represented by the next eight bits, 10000011 We get the exponent value of 10000011 - 127 = -24 when we subtract the bias value of 127.

In binary, the fractional part of the number is represented by the remaining 23 bits, which are 111110... Switching it over completely to a decimal division gives us the series:

1/2 plus 1/4 plus 1/8 plus 1/16 plus 1/32 equals 0.96875, so the floating-point number's decimal value is as follows:

The floating-point number 110000001111110... has a decimal value of (-1)1 x 1.96875 x 2 (-24), which is approximately -0.000000015935003662109375.

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The time for Charlotte to complete the race is  6 hours and 15 minutes.

What are time and work?

Time is the span of any action or task that occurs or continues. Work is a task or series of activities carried out to accomplish a specific goal. The definition of happening of work is as follows: If a person A completes a task in X days, then the quantity of work he completes in a single day is equal to 1 X {1 \over X} X1.

Here, we have

Given: Charlotte completed a 71-kilometer cycling race at an average speed of 11.36 km/h.

The time for Charlotte to complete the race is known as a time of motion. The time of motion is calculated as follows;

time = distance/speed

time = 71/11.36

time = 6.25 hours

Conversion of the time to hours and minutes

The time is converted to hours and minutes as follows;

time = 6 hours + 0.25 hours

time = 6 hours + (60 mins x 0.25 hours)

time = 6 hours, 15 minutes

Hence,  the time for Charlotte to complete the race is  6 hours and 15 minutes.

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Answer:

if x is the number of years she is working that the equation would be: 24,500+x*((3/100)*24,500)

Step-by-step explanation:

For her 4th year x would be 4, so for the equation above x=4:

24500+4*((3/100)*24500)=27440

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

<95141404393>

Answer:

D

Step-by-step explanation:

the distance between B and E is 8

mid point=4 points from both E and B

it is D

60 times 61 = 3660

First two circles will be 60, then the 3 squares is, from left to right, 360, add, you will get 3660.

5. 516

First two circles 36, next two squares, 48, add, 516

6. 1664

First three circles, 104, next three squares, 156.

8. 946

2 circles, 66, 2 squares, 88.

9. 6461

two circles, 71, 3 squares, 639 (I typed them all from left to right.)  

Answer:

Step-by-step explanation:

\(x^{2} +x-12 < 0\\D=1+48=49=7^{2} \\x1=(-1+7)/2=3\\x2=(-1-7)/2=-4\\so, (x-3)(x+4) < 0;\)

Answer:

For 60 gallons of fuel, the airplane would weigh 2430 gallons.

Step-by-step explanation:

Concept: Use the values and conditions to make a linear equation of a straight line. Let the y-axis be fuel and x-axis be airplane weight. The given points are (2210, 20) and (2397, 54). Use these points to make an equation of line.

\(\frac{y-20}{x-2210} =\frac{54-20}{2397-2210} \\\frac{y-20}{x-2210} = \frac{34}{187}\)

Let this be the equation of straight line.

We have to find the airplane weight at 60 gallons of fuel. This means y = 60 and we have to find the x.

\(\frac{60-20}{x-2210} =\frac{34}{187} \\x-2210=\frac{(187)(40)}{34} \\x-2210=220\\x=2430\)

So, the airplane weight is 2430 gallons.

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Answer:

A) perimeter = 3 + 3 + 8 + 8 = 22 units

B) area = 3 x 8 = 24 units²

Step-by-step explanation:

Answer:

To estimate the proportion of customers who were "good" with the customer service, we can calculate the sample proportion based on the given data. Out of the 10 randomly selected responses, we count the number of "good" responses and divide it by the total number of responses.

Given responses: Good, Good, Bad, Good, Bad, Good, Bad, Good, Good, Bad

Number of "good" responses: 6

Total number of responses: 10

Sample proportion of customers who were "good" with customer service:

Proportion = Number of "good" responses / Total number of responses

Proportion = 6 / 10

Proportion = 0.6

Therefore, based on the sample, we can estimate that approximately 60% of the customers were "good" with their customer service.

Answer:

the question is incomplete

Answer:

does it ?

Step-by-step explanation:

oh take to print 21 more pages ??

it's 7 more minutes dude !

Distance is increasing with a speed of 0.2 Miles/Min

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Time in Minutes      Distance in Miles

0                              0.0

2                              0.4

4                              0.8

6                              1.2

8                              1.6

Here, Myra’s distance is increasing as time increase with a constant Speed.

Now, In every 2 mins distance traveled = 0.4 Miles

Hence, In every 1 min Distance traveled = 0.4/2 = 0.2 Miles/Min

Thus, Distance is increasing with a speed of 0.2 Miles/Min.

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Answer:

the answer to your question is 'b'

The hour hand will stop at the 9 o'clock position.A clock typically has 12 hours marked on its face, and a complete revolution of the hour hand corresponds to 12 hours or 360 degrees.

To determine where the hour hand will stop after making 3/4 of a revolution clockwise, we need to calculate the angle it will cover in a equation.

A full revolution is 360 degrees, so 3/4 of a revolution is (3/4) * 360 = 270 degrees.

Starting at the 12 o'clock position, the hour hand will move clockwise, and after covering 270 degrees, it will stop at a new position.

To find the location on the clock where the hour hand stops, we divide 270 degrees by the angle covered by each hour mark on the clock face. Since the hour hand moves 30 degrees for each hour (360 degrees divided by 12 hours), we divide 270 by 30:

270 degrees / 30 degrees per hour = 9 hours.

Therefore, the hour hand will stop at the 9 o'clock position.

To summarize, if the hour hand starts at 12 and makes 3/4 of a revolution clockwise, it will stop at the 9 o'clock position.

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Answer:

H, 96.56

Step-by-step explanation:

First, find the area of the square: 8x8=64

do 17-8-4 to get 5, which is the triangle base

Then, the triangle area: 8x5=40/2=20

Finally, the circular shape area: π·4^2=50.26

divide that by 4 because it's 1/4 of a circle: 12.56

then add all the sums together: 64+20+12.56=96.56

Answer:

0.0053

Step-by-step explanation:

from the point you start counting backwards tenth, hundredth, thousandth, ten-thousandth

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

Step-by-step explanation:

The conversion rate between euros (EUR) and US dollars (USD) varies over time, but as of my knowledge cutoff date of September 2021, the conversion rate was approximately 1 EUR to 1.18 USD.

Using that conversion rate, 400 euros would be approximately:

400 euros x 1.18 USD/euro = 472 USD

Therefore, 400 euros would be approximately 472 US dollars. However, please note that the actual conversion rate at any given time may differ from this estimate.

not exactly sure what it is now.

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

Answer:

Let's call the number of soldiers that should leave the group as x.

We know that the group of 30 soldiers has enough food for 40 days. And we want to find the number of soldiers that should leave the group so that the food is enough for 100 days for remaining soldiers.

We can use the proportion of soldiers to days of food to find the number of soldiers needed for 100 days of food.

30/40 = (30-x) / 100

We can cross-multiply and then solve for x:

1200 = 30x - x^2

x^2 + 30x -1200 = 0

x = 20 or x = -40

20 is the valid solution, so 20 soldiers should leave the group.

So, 20 soldiers should leave the group so that the food is enough for 100 days for remaining soldiers.

Answer:

3

Step-by-step explanation:

as the hour goes up one the temperature rises by 3

Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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