2 1/7 + 3/7(3x-5)=-4

The runner's average speed in kilometers per hour is 24.257 km.

The total distance covered by the runner is 1 mile. The relation between kilometers and miles is given as 1 km = 0.62 mi. Converting 1 mile to km by using the given relation, we get-

Distance = 1 mile

 = 1 mile × [1 km/0.62 mile]

= 1.6129 km

The time taken to complete a 1-mile run is 3 minutes and 59.37 seconds. The relation between hours and minutes is given below.

1 hour = 60 minutes ……(1)

Converting 3 minutes to hours using equation (1), we get-

3 minutes = 3 minutes × [1 hour/60 minutes]

= 0.05 hours

The relation between hours and seconds is given below.

1 hour = 3600 second …….(2)

Converting 59.37 seconds to hours using equation (2), we get-

59.37 seconds = 59.37 seconds × [1 hour/3600 seconds]

= 0.016492 hours

Total time to cover 1 mile = (0.05 + 0.016491) hours = 0.066492 hours

The average speed of the runner is calculated by the following relation-

Average Speed = Distance (km)/time (hours)

= 1.6129 km/0.066492 hours

= 24.257 km/hour

Therefore, the average speed in kilometers per hour is 24.257km.

For more such questions on average speed

https://brainly.com/question/12322912

#SPJ4

The subtraction equations written as addition equations are

a + (-9) = 6

p + (-20) = -30

z + 12 = 15

x + 7 = -10

From the question, we are to write each of the given subtraction equation as an addition equation

This equation written as an addition equation is

a + (-9) = 6

This equation written as an addition equation is

p + (-20) = -30

This equation written as an addition equation is

z + 12 = 15

This equation written as an addition equation is

x + 7 = -10

Learn more on Writing equations here: https://brainly.com/question/24166749

#SPJ1

Answer:

4(3+1/4c-1/2d)

12+c-2d

Let me know if this helps!

Answer:

45,000

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

G

Answer:

3 terms

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Answer:

pythagorean theorem !!!!!!

Step-by-step explanation:

0.8²+1.6²=3.2²

0.64+2.56=10.24

THAT means the distance is

\( \sqrt{10.24} \)

=3.2miles

Answer:

so you multiply 85 by 50 to find the area of the garden then you get 4250, I prefer the long way to do the math so I divide 4250 by 100 and get 42.5 I then multiply that by 32 and get 1360. You would then subtract 1360 from 4250 and get 2890. so 2890 is the area of grass!

Answer:

I am not sure

Step-by-step explanation:

I believe if you take and break down what you paid and then it will be easier to figure out the interest

The possible zeros of the polynomial are -2, -3/2 and  4.

The zeros of the function is calculated as follows;

The zeros of the function are the values of x that will make the function equal to zero.

let x = -2

f(x) = 2x³ - x² - 22x - 24

f(-2) = 2(-2)³ - (-2)² - 22(-2) - 24

f(-2) = -16 - 4 + 44 - 24

f(-2) = 0

So, x + 2 is a factor of the polynomial, and other zeros of the polynomial is calculated as;

                       2x² - 5x - 12

                    ----------------------------------

         x + 2    √ 2x³ - x² - 22x  - 24

                  - (2x³ +  4x²)

                    ------------------------------------

                              -5x² - 22x -24

                            - (-5x² - 10x)

                       -------------------------------------

                                       -12x - 24

                                    - (-12x - 24)

                               -------------------------

                                              0

 2x² - 5x - 12 , so will factorize this quotient as follows;

= 2x² - 8x + 3x - 12

= 2x(x - 4) + 3(x - 4)

= (2x + 3)(x - 4)

2x + 3 = 0

or

x - 4 = 0

x = -3/2 or 4

Learn more about zeros of polynomial here: https://brainly.com/question/28560646

#SPJ1

Answer:

95.4 yards maybe

Step-by-step explanation:

just used pythagoras theorem

Answer:

Step-by-step explanation:

Unfortunately, without more information, it is not possible to accurately predict the number of pounds someone would be overweight if they spent 8 hours per day using a computer. The graph provided does not provide enough data to make an accurate prediction. It is possible, however, to make an educated guess based on the graph. Looking at the graph, it appears that someone who spends 8 hours per day on the computer would likely be somewhere between 20 and 40 pounds overweight.

The probability that gas is not used for cooking at a household can be determined by considering the probabilities of shopping at Prime Foods and using gas for cooking.

Let's denote the event of using gas for cooking as G and the event of shopping at Prime Foods as P. We are given that the probability of G is 0.18, and the conditional probabilities are as follows: P(G) = 0.7 and P(~G) = 0.35.

To find the probability of gas not being used for cooking, we need to calculate P(~G|~P), which represents the probability of not using gas for cooking given that a person does not shop at Prime Foods.

Using conditional probability, we have P(~G|~P) = P(~G∩~P) / P(~P). Here, P(~G∩~P) represents the probability of both not using gas for cooking and not shopping at Prime Foods, and P(~P) represents the probability of not shopping at Prime Foods.

Since P(~G∩~P) + P(G∩~P) = P(~P), we can rewrite the equation as P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P).

We are given P(G∩~P) = P(G) * P(~P|G) = 0.18 * (1 - 0.7) = 0.054.

Therefore, P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P) = (0.054 + 0) / (1 - 0.35) = 0.054 / 0.65 ≈ 0.083.

So, the probability that gas is not used for cooking at the household, given that a person does not shop at Prime Foods, is approximately 0.083, which is option (a).

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

The expression 16t^2 represents distance an object falls in feet after t seconds, assuming no other forces are acting on it.

The height from which object is dropped can be represented by another variable or constant. The expression 16t^2 represents the distance an object falls in feet after t seconds, assuming free fall under the influence of gravity. The value 16 comes from the acceleration due to gravity, which is approximately 32 feet per second squared. Since the object is falling, the equation represents a downward motion.

In this case, the object is dropped from a height of 2716 feet. To find the time it takes for the object to reach the ground, we can set the expression equal to the height and solve for t: 16t^2 = 2716. Dividing both sides of the equation by 16, we get: t^2 = 169.75, Taking the square root of both sides, we find: t ≈ 13.04

Therefore, the object takes approximately 13.04 seconds to fall from a height of 2716 feet.

To learn more about expression 16t^2 click here:

brainly.com/question/10571931

#SPJ11

Answer:

answer is neither, they are both the same shade.

Step-by-step explanation:

if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)

Answer:

Neither.

Step-by-step explanation:

Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

Learn more about ASA Congruence Theorem:
https://brainly.com/question/13671709
#SPJ1

Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

The function below is not provided in the question, therefore, I cannot provide a specific linearization method to fit the data to a linear regression model.

However, in general, the correct linearization method for a function to be fit to a data set using linear regression would depend on the functional form of the equation.

For example, if the function is exponential, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression.

The specific linearization method to fit a function to a linear regression model would depend on the functional form of the equation. For an exponential function, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression. However, since the function in question is not provided, I cannot provide a specific linearization method.

The correct linearization method for a function to be fit to a linear regression model depends on the functional form of the equation and cannot be determined without knowledge of the specific function.

To know more about linear visit:

brainly.com/question/31510530

#SPJ11

The closest measurement to the volume of the container would be 738 cubic centimeters.

Assuming that the container has a cylindrical shape, the volume can be calculated using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height of the cylinder.

Since the diameter of the container is given as 8 centimeters, the radius is half of that, which is 4 centimeters.

Therefore, the volume of the container is:

V = π(4 cm)^2(14 cm) = 704π/3 ≈ 738.18 cubic centimeters

Click the below link, to learn more about volume of the container:

https://brainly.com/question/14502141

#SPJ11

By using Binomial distribution of probability, it can be calculated that

Probability of getting 4 heads in 10 coin flips = \(\frac{105}{512}\)

What is Binomial distribution of probability?

Binomial distribution of probability is a discrete probability distribution where the probability mass function is given by

P(X = x) = \({n \choose x}p^xq^{n - x}\)

Where p is the probability of success and q is the probability of failure.

Here, Binomial distribution of probability is used

n = 10

Probability of getting a head = \(\frac{1}{2}\)

Probability of getting a tail = \(\frac{1}{2}\)

Probability of getting 4 heads in 10 coin flips = \({10 \choose 4}(\frac{1}{2})^4(\frac{1}{2})^{10 - 4}\)

                                                                          = \(\frac{210}{1024}\)

                                                                          = \(\frac{105}{512}\)

To learn more about binomial distribution of probability, it can be calculated that

https://brainly.com/question/9325204

#SPJ4

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

To learn more about division, click on below link:

https://brainly.com/question/11781269

#SPJ4

Answer:

102

Step-by-step explanation:

You have to substitute x and y. Since x = 3 and y = 4, you would write the equation as 6(3) + 21(4). Multiply that, and you get 18 + 84. Add that together, and you get the answer 102.

Answer: 102

Step-by-step explanation: 6x + 2y

                                             6(3) + 21(4)

                                             18 + 84

                                             102

basically you just plug in 4 where it says y in the equation and plug in 3 where it says x in the equation and solve :))

10:30

please mark me brainliest

The length of the second leg (the vaue of x in the triangle) is approximately 10.25.

From the question, we have the following parameters that can be used in our computation:

Hypotenuse = 13

One leg = 8

Second leg = x

We can use the Pythagorean theorem to solve for the second leg:

a^2 + b^2 = c^2

where a and b are the legs of the right triangle, and c is the hypotenuse.

Plugging in the values we know:

8^2 + x^2 = 13^2

64 + x^2 = 169

Subtracting 64 from both sides:

x^2 = 105

Taking the square root of both sides:

x = √105

x = 10.25

Therefore, the length of the second leg is approximately 10.25.

Read mroe about triangle at

https://brainly.com/question/2437195

#SPJ1

Answer:

y=-2x+3

Step-by-step explanation:

Use the slope formula

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

According to the table, x=1 and y=1. There is another point x=2 and y=-1.

We can say that \(x_{1}=1\) and \(y_{1} =1\). We can also say that \(x_{2}=2\) and \(y_{2}=-1\). Plugging this into the equation we get:

\(m=\frac{-1-1}{2-1}=-2\).

This means that the slope of your equation is -1/2

Point intercept form is y=mx+b

So plugging the slope in we have \(y=2x+b\)

We can plug in one of the values from the value table for x and y, but to keep things simple, I’m going to just use x=1, and y=1, the first values on the table. Plugging these into the equation we get:

\(1=-2(1)+b\\ 1=-2 +b\\b=1+2 \\b=3\)

So our equation is \(y=-2x+3\)

Answer:

B. 46

Step-by-step explanation:

10% is equal to 1/10, so we have x/10 = 20. We multiply by 10 on both sides, leaving us with x = 200. 23% of 200 is equal to 46.

Answer:

0.95 Miles (mi) that's the answer

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

Read more about multipliers:

brainly.com/question/15883095

Answer:

The baker bought 8 pounds of apples and 4 pounds of bananas.

Step-by-step explanation:

a+b=12.

0.75a+1.05b=10.20

First, multiply 2 my 10.

75a+105b=1020.

Then multiply 1 by 75.

75a+75b=900.

Then subtract.

75a+105b=1020

75a+75b=900.

75a-75a+105b-75b=1020-900

30b=120

b=4

Substitute into (1)

a+4=12

a=8.

Hope this helps :)

The probability that at most 2 items are defective is approximately 0.7443. The closest option is d. 0.7442.

To find the probability that at most 2 items are defective, we need to calculate the cumulative probability for X ≤ 2. We can use the cumulative distribution function (CDF) of the binomial distribution.

The CDF of a binomial distribution with parameters n and p is given by:

CDF(k) = P(X ≤ k) = Σ(i=0 to k) (nCi) × \(p^{i}\)× \((1-p)^{(n-i)}\)

where nCi represents the binomial coefficient.

In this case, n = 6 and p = 0.3. We want to find P(X ≤ 2), so we need to calculate:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Let's calculate each term:

P(X = 0) = (6C0) ×(0.3⁰)× (1-0.3)⁶⁻⁰ = 1 ×1 ×0.7⁶ = 0.117649

P(X = 1) = (6C1)× (0.3¹)× (1-0.3)⁶⁻¹ = 6 ×0.3 ×0.7⁵ = 0.302526

P(X = 2) = (6C2)× (0.3²)× (1-0.3)⁶⁻² = 15 × 0.09 × 0.7⁴ = 0.324135

Now, let's add up these probabilities:

P(X ≤ 2) = 0.117649 + 0.302526 + 0.324135 = 0.74431

Therefore, the probability that at most 2 items are defective is approximately 0.7443.

The closest option is d. 0.7442.

Learn more about cumulative distribution function here:

https://brainly.com/question/30402457

#SPJ11