Felipe rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 71 cents for each mile driven. Fellpe had
$172.18 when he returned the truck. For how many miles did he drive the truck?
miles

Answer:

You can make 6 servings

Step-by-step explanation:

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

-41

Step-by-step explanation:

Here your a(x) = |13 - 2x|, and your b(x) = 8x - 14.

b(-2) is found by substituting -2 for x:  b(-2) = 8(-2) - 14 =  -16 - 14 = -30

-a(12) is found by substituting 12 for x in a(x):  a(12) = |13 - 2(12)| = |13 - 24| = 11

Then b(-2) - a(12) = -30 - 11 = -41

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

Answer:

the answer is d. likely

Step-by-step explanation:

Answer:

A. The proportion of numbers in the population is equal to the mean of the sample proportions

Step-by-step explanation:

The relationship between the  mean \(\mu _{\overline p}\), and standard deviation, \(\sigma _{\overline p}\), of the sample proportion and the population proportion, p, are given as follows;

\(\mu _{\overline p}\) = p

\(\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }\)

Where;

N = The size of the population

n = The sample size

Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions

Answer:

4, know that in a slope-intercept form the coefficient of x is the slope.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

its c

Answer:

7/20

Step-by-step explanation:

He tosses the dime 500 times and it lands on heads 325 times.

There are only two possibilities in a coin toss: Head or tails

This means that it lands on tails:

500 - 325 = 175

The theoretical probability of the dime landing on tails is:

175 / 500 = 7/20

Answer:

Hannah is 24years of age

Answer:

The first term is:

Step-by-step explanation:

The arithmetic sequence is defined by

\(a_n=a_1+\left(n-1\right)d\)

where

\(a_1\) is the first term

\(d\) is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. \(a_{17}=51\)

so

\(a_n=a_1+\left(n-1\right)d\)

\(a_{17}=a_1+\left(17-1\right)d\)        

\(51=a_1+\left(17-1\right)7\)         ∵ \(n = 17\), \(a_{17}=51\) , \(d=7\)

\(a_1+112=51\)                   ∵ \(\left(17-1\right)\cdot \:\:7=112\)

\(a_1=-61\)

Therefore, the first term is:

Answer: The correct response is "Interest rates vary between lenders and can drastically change the monthly payment."

The interest rate is one of the most important things to consider when shopping around for loans because it determines the cost of borrowing money. Different lenders offer different interest rates, and even a small difference in interest rates can have a big impact on the total cost of the loan. A higher interest rate will result in a higher monthly payment, and a longer repayment period, which can make the loan more expensive overall. Therefore, it is important to shop around and compare interest rates from different lenders to find the best deal.

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Since the 2 legs are congruent, then

3x + 12 = 33 ( subtract 12 from both sides )

3x = 21 ( divide both sides by 3 )

x = 7

The system of equations -3x + y = 4 and -9x + 5y = -1 has the solution (-3.5 , -6.5).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations. This is what is called as the solution.

Given two equations in x and y,

-3x + y = 4     (equation 1)

-9x + 5y = -1     (equation 2)

Rewrite equation 1 as an equation of y and substitute to equation 2.

(equation 1) -3x + y = 4     ⇒     y = 3x + 4

-9x + 5y = -1     (equation 2)

-9x + 5(3x + 4) = -1

-9x + 15x + 20 = -1

6x = -21

x = -3.5

Substitute the value of x in equation of y and solve for y.

y = 3x + 4

y = 3(-3.5) + 4

y = -6.5

Hence, the solution to the following system of equations is (-3.5 , -6.5).

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Answer:

(-3.5 , -6.5)

Step-by-step explanation:

Standard form equation of given circle.

The standard form of the equation of a circle is (x - h)² + (y - k)²= r², where (h,k) is the center of the circle and r is the radius. To find the standard form of the equation of the circle in the graph, we need to first determine its center and radius.

We can see that the center of the circle is (-3,1) and its radius is the square root of 2. Using this information, we can plug these values into the standard form equation and simplify to get (x + 3)² + (y - 1)² = 2 as the standard form of the equation of the circle.

This means that any point (x,y) that satisfies this equation will lie on the circle with center (-3,1) and radius square root of 2.

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Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm

The height of the cylinder is approximately 2.93 cm.

We can use the formula for the volume of a cylinder which is given as:

V = π\(r^2h\)

where V is the volume, r is the radius of the circular base, h is the height of the cylinder and π is the mathematical constant pi.

We are given that the area of each base is 124 cm^2, which means that πr^2 = 124. Therefore, the radius of the circular base can be found as:

r^2 = 124/π

r ≈ 6.28 cm (rounded to 2 decimal places)

The volume of the cylinder is given as 116π \(cm^3\). Substituting the values of r and V in the formula, we get:

116π = π\((6.28)^2h\)

Simplifying the equation:

116 = \((6.28)^2h\)

h =\(116/(6.28)^2\)

h ≈ 2.93 cm (rounded to 2 decimal places)

Therefore, the height of the cylinder is approximately 2.93 cm.

In conclusion, we can find the height of a cylinder by using its volume and the area of its base by plugging the values in the formula for the volume of a cylinder. In this problem, the height of the cylinder is approximately 2.93 cm.

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Given data:

The given right angle triangle.

The expression for the value of x is,

Thus, the value of x is 16.1 units.

Answer:

Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3.

Step-by-step explain

The given inequality is 3b + 8 ≥ 14

We need to solve the given inequality

Step 1.

Subtract 8 to the both sides of the inequality

3b + 8 - 8 ≥ 14 -8

3b ≥ 6

Dividing both sides by 3

b ≥ 2

The value of b is greater than and equal to 2.

the correct answer is a.  

1b 2d 3a 4c

1) 2x+3=9

The first step is to subtract 3 from each side,

2x =6

x=3

So

1) b

2) 3x -3 =15 The next step is to add 3 to isolate 3x

3x =18

x=6

2) d

3) -2p +9=-11 Subtract 9 from both sides so that we isolate the -2p

-2p=-11-9

-2p=-20

2p=20

p=10

3) a

4) 11=-4m -9 Add 9 from each side..

11 +9=-4m

20=-4m

-20=4m

m=-5

4)c

Answer:

7, 11, 14 feet from shortest to longest

Step-by-step explanation:

Let's say that the shortest pipe is equal to x, and work from there.

The medium size piece is 4 feet longer than the shortest piece, so it is equal to 4+x

The longest piece is twice as long as the shortest piece, so it is equal to 2 * x.

The three pieces added up make up the 32 feet pipe, so we can write this as

(2*x) + (4+x) + x = 32

2*x + 4 + x + x = 32

4 * x + 4 = 32

subtract 4 from both sides to isolate the x and its coefficient

4 * x = 28

divide both sides by 4 to isolate the x

x= 7

Therefore, the shortest piece is x=7 feet long. The medium piece is x+4=11 feet long, and the longest piece is x*2=14 feet long

Answer:

180 degrees

Step-by-step explanation:

-100 + 180 = 80

In the problem,

the given system of linear equations are 10x1 - 7x2 = 7 ...

(i)-3x1 +2.099x2 + 3x3 = 3.901 ...

(ii)5x1 - x2 +5x3 = 6 ...

(iii)Now, the solution of the system of equation using Gauss elimination with partial pivoting with five significant digits with chopping leads to the following solution:

x1 = 1.8975, x2 = 1.6677, x3 = 2.00088So, option (d) x1 = 1.8975, x2 = 1.6677, x3 = 2.00088 is the correct answer. Therefore, option (d) is the right option.

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The combination of advanced military technology, numerical advantage, and the use of disease as a weapon were critical factors in enabling the Spanish conquistadors to seize control of Tenochtitlán and establish their colonial rule over the Aztec empire.

The Spanish conquest of the Aztec empire in 1521 was a turning point in world history, marking the beginning of Spanish colonial rule in the Americas.

One major factor was the advanced military technology and weaponry of the Spanish. The conquistadors were equipped with steel swords, guns, and armor, while the Aztecs relied on obsidian-tipped weapons and wooden shields.

Another factor was the advantage of numbers. The Spanish arrived in Mexico with a relatively small force of around 500 soldiers, but they were able to recruit indigenous allies and build up their army to around 8,000 soldiers.

A third factor was the use of disease as a weapon. The Spanish brought diseases such as smallpox, which devastated the indigenous populations and weakened the Aztecs, making them more vulnerable to attack.

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You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment.

To determine the number of tires that should be sampled to achieve a power of 0.85 in a hypothesis test at the 5% significance level, you'll need to consider a few factors such as effect size, standard deviation, and critical value.

Power analysis is a crucial step in experimental design and helps to ensure that the test is sensitive enough to detect meaningful differences between groups, while maintaining a low probability of making a Type I error (false positive).

In this context, power is the probability of correctly rejecting the null hypothesis when it is false, and the 5% level indicates the maximum probability of making a Type I error. To achieve a power of 0.85, you will need to perform a power analysis using a statistical software or a power analysis calculator.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment. The output will provide you with the required sample size to achieve the desired power.

Keep in mind that increasing the sample size generally leads to higher power, but also requires more resources and time. It is essential to balance these factors while designing your experiment to ensure meaningful results without unnecessary costs.

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Answer:

B

Step-by-step explanation:

5.7(10^-5)=0.000057