18. Emma rents a car from a company that rents cars by the hour. She has to pay an initial fee of $75, and then they charge her $9 per hour. Write an equation for the total cost Cif Emma rents the car for h hours. If Emma has budgeted $250 for the rental cars, how many hours can she rent the car? Assume the car cannot be rented for part of an hour.​

Answer:

$325

Step-by-step explanation:

Find the regular price by dividing 247 by 0.76:

247/0.76:

= 325

So, the regular price was $325

Answer:

x = 50

Step-by-step explanation:

Answer:

it's toooo complicated

\(y = 4 {(x - 6)}^{2} + 3\)

\(y = a {(x - h)}^{2} + k\)

where a-term determines how wide/narrow/upward or downward of the graph.

h-term determines the changes of graph for x-axis

k-term determines the changes of graph for y-axis.

The vertex of parabola is at (h,k).

\(y = 4 {(x - ( + 6)})^{2} + ( + 3)\)

Therefore, h = 6 and k = 3.

\( \large \boxed{(6,3)}\)

Answer: \(\frac{5}{9}\)

Step-by-step explanation:

\(\frac{\frac{5}{4} }{\frac{9}{4} }\)

When multiplying by fractions, invert the fraction in the denominator and multiply it by the numerator.

\(\frac{5}{4}*\frac{4}{9}\)

Simplify 4.

\(\frac{5}{9}\)

Answer:5/9

Step-by-step explanation:

5/4 ➗ 9/4

The division sign would change to multiplication,and the numerator and denominator in the right hand fraction would be inverted

5/4 x 4/9

Multiply both fractions

(5x4)/(4x9)

20/36

Reduce the fraction to the lowest term by dividing both numerator and denominator by 4

(20 ➗ 4)/(36 ➗ 4)=5/9

Answer:

true

Step-by-step explanation:

The value of angle that maximizes the cross sectional area is 60°

The cross sectional area of a solid is the two dimensional surface formed when the solid is sectioned by a plane.

The shape of the cross sectional area of the gutter is a trapezoid

Area of a trapezoid = ((Sum of the lengths of the parallel sides)/2) × Height

Let a and b represent the parallel sides of the trapezoid, and let a represent the base of the trapezoid we get;

A = ((a + b)/2) × h

a = 3 inches

b = The longer parallel side

h = The height of the trapezoid

The angle formed by the sides of a trapezium and the horizontal = θ

Therefore;

h = 3 × sin(θ)

b = 3 + 2 × 3·cos(θ)

A(θ) = ((3 + 3 + 2 × 3·cos(θ)) × 3 × sin(θ))/2 = 9·sin(θ)·cos(θ) + 9·sin(θ)

At the extremum value of θ, we get;

A'(θ) = 18·cos²(θ) + 9·cos(θ) - 9 = 0

Solving, we get;

cos(θ) = 0.5 or cos(θ) = -1

Therefore;

θ = arccos(0.5) = 60° and θ = arccos(0.5) = 180°

When θ = 60°, we get;

A(max) = 9·sin(60)·cos(60) + 9·sin(60) ≈ 11.69

The cross sectional area when θ is 60° is about 11.69 square inches which is larger than the 9 square inched when θ = 90°

The angle that maximizes the cross sectional area is θ = 60°

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Answer:

Whats the question?

Step-by-step explanation:

Answer:

45.92

Step-by-step explanation:

50%=14

10%=2.8

4%=1.12

64%=19.92

19.92+28= 45.92

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Refer to the attachment

Answer:

Step-by-step explanation:

Given:

Use the given formula and find d:

Answer:

Step-by-step explanation:

Just make an example

Answer:

Step-by-step explanation:

9²+9²=162

√162 ≈12.7

so base is a right angled triangle with sides 12.7,9,9

area of base and top=2×1/2×9×9=81 cm²

area of sides=(9+9+12.7)×8

=30.7×8=245.6 cm ²

total surface are =81+245.6=326.6 cm²

volume=1/2 ×9×9×8=324 cm³

6d + 5 = c

hope that helps :)

If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.

One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.

Another factor that can decrease the money supply is the sale of treasury bonds to banks.

Raising the interest rates also decreases the money supply.

Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.

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Step-by-step explanation:

15×3×3=135

hope it helps you

Answer:

5 dimes and 16 nickels

Step-by-step explanation:

5 times 3 = 15 + 1 = 16

5 times 10 = 50 cents

16 times 5 = 80 cents

50 + 80 = 130 or $1.30

Answer:

Step-by-step explanation:

Let's get the equation first and then look at the circle when it has been graphed.

(x - 2)^2 + (y - 4)^2 = 7^2

(x - 2)^2 + (y - 4)^2 = 49

Answer:

26

Step-by-step explanation:

It would take approximately 17.12 years for the amount to reach Birr 56,398.43 with a deposit of Birr 500 at the end of each six-month period, compounded semi-annually at an interest rate of 6%.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount is Birr 500, the annual interest rate is 6% (or 0.06), and the interest is compounded semi-annually, so there are 2 compounding periods per year.

We need to find the number of years (t) it takes for the amount to reach Birr 56,398.43.

Let's substitute the given values into the formula and solve for t:

56,398.43 = 500(1 + 0.06/2)^(2t)

Divide both sides by 500:

112.79686 = (1 + 0.03)^(2t)

Take the natural logarithm of both sides to eliminate the exponent:

ln(112.79686) = ln(1.03)^(2t)

Using the property of logarithms, we can bring down the exponent:

ln(112.79686) = 2t * ln(1.03)

Now, divide both sides by 2 * ln(1.03):

t = ln(112.79686) / (2 * ln(1.03))

Using a calculator, we find t ≈ 17.12.

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Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

Answer:

\(this \: proberbility \: is \: p(history)\)

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

The answer is C: 20 ÷ f

Step-by-step explanation:

Answer:

Step-by-step explanation:

2.7*4=10.80

27*0.4=10.80 we multiplied 27 by 10 but divide 4 by 10

0.27*40=10.80

It took Emily 33.4 minutes to make dinner.

A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.

To solve the problem, we have to convert the mixed number  \(9 \frac{1}{10}\)   to a decimal number:

⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)

⇒ \(\frac{91}{10}\)  =  9.1

This means that Emily finished making dinner 9.1 minutes sooner than the cake.

To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:

⇒ 42.5 - 9.1 = 33.4 minutes

Therefore, it took Emily 33.4 minutes to make dinner.

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