What is 6% in decimal form

Answer: 3 loops

Step-by-step explanation: The loop is 1.2 miles, and the total walk is 3.6 miles. You want to find out how many laps are in the 3.6 miles. This can be found using division. 3.6/1.2= the number of 1.2 mile laps inside the 3.6 mile walk, which is 3 laps. hope this helped!

Answer: A line that is parallel to another line has the same slope. The slope of the line x-2y=6 can be found by rearranging it into slope-intercept form, y = mx + b, where m is the slope:

x - 2y = 6

Add 2y to both sides:

x = 2y + 6

Divide both sides by 2:

y = (1/2)x + 3

So the slope of the line x - 2y = 6 is m = 1/2.

Since the line through the point (−6,−8) must have the same slope as the line x-2y=6, its slope is also 1/2. To find the equation of this line, we can use the point-slope form of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope. Substituting the values m = 1/2, x1 = -6, and y1 = -8 into the point-slope form gives:

y - (-8) = (1/2)(x - (-6))

Expanding the right side:

y + 8 = (1/2)x + (1/2)(-6)

y + 8 = (1/2)x - 3

Multiplying both sides by 2:

2y + 16 = x - 6

Adding 6 to both sides:

2y + 22 = x

So the equation of the line that passes through the point (−6,−8) and is parallel to the line x - 2y = 6 is:

2y + 22 = x

Step-by-step explanation:

Answer:

yuh

Step-by-step explanation:

yuh

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

\(\frac{9344}{45}\)

Step-by-step explanation:

\(\frac{74752}{360}\)

Simplify by 8, and we get

\(\frac{9344}{45}\)

We can't simplify any more, so the answer is  \(\frac{9344}{45}\)

The required answer is the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

To simplify the fraction 74752/360 as a whole fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both of them by it.

Step 1: Find the GCD of 74752 and 360. The GCD can be calculated using various methods, such as prime factorization or the Euclidean algorithm. In this case,  use the Euclidean algorithm.

Let's find the GCD using the Euclidean algorithm:

Divide 74752 by 360:

74752 ÷ 360 = 207 R 272

Divide 360 by 272:

360 ÷ 272 = 1 R 88

Divide 272 by 88:

272 ÷ 88 = 3 R 8

Divide 88 by 8:

88 ÷ 8 = 11 R 0

Since the remainder is 0, the GCD is the last non-zero remainder, which is 8.

Step 2: Divide both the numerator and denominator of the fraction by the GCD.

74752 ÷ 8 = 9344

360 ÷ 8 = 45

The simplified whole fraction is 9344/45.

A whole fraction refers to a fraction in which the numerator is equal to or greater than the denominator. It represents a whole number and a fraction together. For example, 3 1/4 is a whole fraction where the whole number part is 3 and the fractional part is 1/4.

Hence, the simplified fraction of the given problem 74752/360 is the whole fraction 9344/45, where 9344 represents the whole number part and 45 represents the fractional part.

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Explanation:

The equation for the line of best fit is given as:

Part A

Number of Hours Worked: 8.1

Observed Amount (from the table): 24.71

Predicted Amount:

Residual: The residual is the difference between the actual and predicted values.

Part B

Number of Hours Worked: 10.00

Observed Amount (from the table): 21.50

Predicted Amount:

Residual: The residual is the difference between the actual and predicted values.

Answer:

The completed table is attached below:

Answer:

B is only true and the correct option.

Explanation:

\(\left(cos90\right)\left(cos30\right)-\left(sin90\right)\left(sin30\right)\)

when simplified:

\(\left(cos90\right)\left(cos30\right)-\left(sin90\right)\left(sin30\right) = \ -\frac{1}{2}\)

from options:

A) \(cos60^\circ =\frac{1}{2}\)

✔B) \(\cos \left(120^{\circ \:}\right) = -\frac{1}{2}\)

C) \(sin60^\circ = \frac{\sqrt{3} }{2}\)

D) \(sin120^\circ = \frac{\sqrt{3} }{2}\)

(cos90°) (cos30°) – (sin90°) (sin30°)

\(cos (90°) = 0\)

\(sin (90°) = 1\)

\(sin (30°) =\frac{1}{2}\)

\(cos (30°) = \frac{ \sqrt{3} }{2} \)

Simplified :

\((cos90) (cos30) – (sin90) (sin30) = - \frac{1}{2} \)

So, B) \(cos (120°) = - \frac{1}{2} \)

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

  $1258.09

Step-by-step explanation:

You want the monthly annuity payment that will let you withdraw $150,000 per year forever from an account earning 8% after 30 years.

In order to withdraw an amount "forever," the withdrawal amount must be equal to the interest earned by the account.

  I = Prt

  150,000 = P(0.08)(1)

  P = 150,000/0.08 = 1,875,000

The value of an ordinary annuity is given by the formula ...

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . . where P is the monthly payment, and r is the annual interest rate earned over a period of t years.

Using the values we know, we can find P:

  1875000 = P(12/0.08)((1 +0.08/12)^(12·30) -1) = 1490.359449P

  P ≈ 1258.09

You would need to deposit $1258.09 each month.

__

Additional comment

The formulas used here assume that the deposits and withdrawals occur at the end of the month.

Answer:

-2x + 6 > 10

Step-by-step explanation:

Let the unknown number be x

the product of x and -2 is -2x

6 more than -2x is written as

-2x + 6

if the result of the above is greater than 10, then

-2x + 6 > 10

Answer:

B

Step-by-step explanation:

would divide 4.85÷5=.97 then .97×45 to get ur answer hope it helps.

Answer:

The correct answer is C: 9

Step-by-step explanation:

there are 5 cookies per box and if you divide 45 by 5 you get the end result of 9 boxes

the same goes if you multiply 5 and 9 because you still get the answer of 45

and this might be unnecessarry but if u want the price for all of it the answer is $43.65

have a nice day!

                                 stay alive I-/

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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Answer:

188 students would play sports, out of 1,000.

Step-by-step explanation:

If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.

The function represents a continuous function because it can be measured and not counted.

The domain is; x ≤ 19 gallons

The range is ; d(x) ≤ 323 miles

We are given the function that represents the distance d(x) in miles that the car can travel with x gallons of gasoline as;

d(x) = 17x

A) The Independent Variable is Number of gallons of gasoline used while the dependent variable is the distance that the car travels.

B) Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting. Continuous data includes complex numbers and varying data values measured over a particular time interval.

Thus, the situation represents a continuous function because it can be measured and not counted.

C) The domain is the set of all possible input values. You have 19 gallons and so the domain is; x ≤ 19 gallons

The range is the set of all possible output values. Thus, the range is;

d(x) ≤ (19 * 17)

d(x) ≤ 323 miles

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Answer:

\(2.38\)

Step-by-step explanation:

2.5 kg of potatoes cost 1 .40

4.25 kg of potatoes cost \(x\)

\(2.5 \times x =1.4 \times 4.25\)

\(2.5x =5.95\)

\(x=5.95 \div 2.5\)

\(x=2.38\)

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

An answer choice that matches the graph of the given piecewise-defined function include the following: D. graph D.

In Mathematics, a piecewise-defined function refers to a type of function that is defined by two or more mathematical expressions over a particular domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains.

When the domain is -2 < x ≤ -1, the rule for the piecewise-defined function f(x) is given by:

f(x) = -3

When the domain is -1 ≤ x ≤ 0, the rule for the piecewise-defined function f(x) is given by:

f(x) = -2

When the domain is 0 ≤ x ≤ 1, the rule for the piecewise-defined function f(x) is given by:

f(x) = -1

In conclusion, we can reasonably infer and logically deduce that all of the y-values of this piecewise-defined function are located on the negative y-coordinate based on the domain.

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Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The effect that does NOT relate to one's driving ability is breathalyzer test results indicating a high BAC. Option B.

While the breathalyzer test measures the blood alcohol concentration (BAC), it is a method used to determine the level of alcohol in a person's system and is commonly used in assessing impairment for driving under the influence.

Therefore, it directly relates to one's driving ability and is not excluded from the effects on driving ability caused by a BAC of .2 percent.

On the other hand, options, lack of coordination, impaired gross motor skills, and impaired reactions all directly relate to one's driving ability as they affect the physical and cognitive abilities necessary for safe and efficient driving.

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Answer:

1. Length in terms of width is 5000/W meters

2. Solving for b gives us: \(b = \frac{2A}{h}\)

3.  Solving for t gives us: \(t = \frac{i-f}{g}\)

4. Solving for P gives us:

\(W = \frac{P}{2} - L\)

Step-by-step explanation:

1. The formula A = L x W gives the area of a rectangle R. The area of a rectangular garden is 5000sqm.  What is the garden's length in terms of width?

Given that

\(A= L*W\)

Also given that A = 5000 square meters.

Now,

\(5000 = L * W\)

Dividing both sides by W

\(\frac{L*W}{W} = \frac{5000}{W}\\L = \frac{5000}{W}\)

So,

Length in terms of width is 5000/W meters

2. The formula for the area of a triangle is A = ½ bh, where b is the length of the base, and h is the height. Solve for b

The given formula is:

\(A = \frac{1}{2}bh\)

Solving it for b means that the we have to isolate b

So,

\(A = \frac{1}{2}bh\\2A = 2. \frac{1}{2}bh\\2A = bh\\\frac{2A}{h} = \frac{bh}{h}\\b = \frac{2A}{h}\)

Solving for b gives us: \(b = \frac{2A}{h}\)

3. The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity,  g is acceleration due to gravity, and t is time. Solve for t.

Given

\(f = i-gt\\Now\\f+gt = i\\gt = i-f\\\frac{gt}{g} = \frac{i-f}{t}\\t = \frac{i-f}{t}\)

Solving for t gives us: \(t = \frac{i-f}{g}\)

4. Own Question: The perimeter of a rectangle is given by P = 2(L+W). Solve for width.

\(P = 2(L+W)\\\frac{P}{2} = \frac{2(L+W)}{2}\\\frac{P}{2} = L+W\\\frac{P}{2} - L = W\)

Solving for P gives us:

\(W = \frac{P}{2} - L\)

Answer:

Serena can hit with her driver twice as far as she can hit with her 9-iron. So, the expression 2(100 − x) represents the distance she can hit using her driver.

Step-by-step explanation:

Put this in your own words because it is the same answers from it.

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

The minimum sample size needed 64 monthly U.S. rental car mileages.

Step-by-step explanation:

Note: This question is not complete as all the important data are omitted. The complete question is therefore provided before answering the question as follows:

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 175 miles per month of u?

The explanation of the answer is now given as follows:

The minimum sample size needed can be calculated using the following sample size formula:

n = ((Z * S) / E)^2 ………………………… (1)

Where:

n = sample size or minimum sample size = ?

Z = Confidence interval at 95% = 1.645

S = Standard deviation = 850

E = Accepted magnitude of error = 175

Substituting all the relevant values into equation (1), we have:

n = ((1.645 * 850) / 175)^2 = (1,398.25 / 175)^2 = 7.99^2 = 63.8401, or 64.

Therefore, the minimum sample size needed 64 monthly U.S. rental car mileages.

Answer:

A is correct

Step-by-step explanation:

Answer:

it's A -2/9

Step-by-step explanation:

it's A

it's A

Answer:

500, because the 2 in the tens place is less than 5, meaning you round down.

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Have a GREAT day!!!

Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Given the following output values;

B(x) = 0

B(x) = -1

B(x) = 2

According to the question, we need to determine the corresponding x-values on the xy-plane for the given outputs (y values)

To get the required values for the function, we need to locate each of the B(x) values on the y-axis of the graph, the corresponding x-value(s) are the required values for the function.

For the function B(x) = 0.

From the graph, you can see that the corresponding x-coordinate at the point where B(x) = 0 is 3. Hence the value for the function B(x) = 0 is 3

For the function B(x) = -1.

From the graph, you can see that the corresponding x-coordinate at the point where B(x) = -1 is 2. Hence the value for the function B(x) = -1 is 2

For the function B(x) = 2.

From the graph, you can see that the corresponding x-coordinate at the point where B(x) = 2 is 1. Hence the value for the function B(x) = 2 is 1

Answer:

Different Amount

Step-by-step explanation:

4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal