Anne’s family drives to her uncle’s house for vacation, and they take two separate cars. anne’s car travels 383.5 miles between 10:15 am and 4:45 pm. the equation y = 58x represents the relationship between the distance, y, in miles and the time, x, in hours that anne’s sister’s car traveled. if both cars are traveling at constant rates, which car â€" anne’s or her sister’s â€" would you expect to arrive at their uncle’s house first? explain how you know.

Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest

Answer: r=d/t

Step-by-step explanation:

d=rt

d/t=rt/t

r=d/t

Answer:

[tex]r=\frac{d}{t}[/tex]

Step-by-step explanation:

[tex]d=rt[/tex]

Divide both sides by [tex]t[/tex]:

[tex]\frac{d}{t}=r[/tex]

[tex]r=\frac{d}{t}[/tex]

Answer:

-10x + 25

Step-by-step explanation:

We will distribute the - 5 in to 2x which is - 10x

Then distribute - 5 to - 5 which is 25

Answer:

infinitely many solutions

Step-by-step explanation:

4=2x+y

-6x-3y=-12

First, line up the variables in the right place

4=2x+y

-12=-6x-3y

Choose the variable you want to eliminate, I will do x

Multiply everything in the first equation by 3

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

-12=-6x-3y

Simplify

12=6x+3y

-12=-6x-3y

If we combined everything, it would all cancel

This means there are infinitely many solutions

Answer: 48

Step-by-step explanation:

The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.

Using this knowledge we have that

t = 2 * 24

t = 48 degrees

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The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

Constant proportionality:

Constant proportionality means the ratio of two proportional values at a constant value.

Directly Proportional:

In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.

Given,

Suppose that y is directly proportional to x.

And y = kx.

Here we need to find the value of k when the value of x = 10 and the value of y = 30.

And we also need to find the value of y when the value of x = 14.

First, we have to find the value of k by apply the given value of the equation,

=> 30 = k x 10

=> 30 /10 = k

=> k = 3

Now the value of y when the value of x = 14 and the value of k = 3,

Then

=> y = 3 x 14

=> y = 42.

Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.

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The required function is d = 360 - 35h, 0 ≤ h ≤ 10.29.

We know that distance travelled is equalled to speed multiplied by time.

Let d be the distance from the destination.

Let d₁ be the distance travelled in h hour.

And h be the number of hours driven.

Given that the average speed is 35 miles per hour.

Therefore, we have d₁ = 35h

And the initial distance from the destination is 360 miles.

Note at time h= 0 the distance from the destination is the maximum which is 360 miles.

Therefore, we have d₁ = 35h

Distance from the destination is 360 - d₁.

⇒ d = 360 - d₁

⇒ d = 360 - 35h

Time taken to reach destination = d/v = 360/35 = 10.29 hours

Therefore the required function is d = 360 - 35h, 0 ≤ h ≤ 10.29

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4x+6y=5 and 2x+4y=3 are the 2 supplied lines. We must solve two simultaneous equations in order to determine the location at where these two lines cross.

When we multiply the second equation by two, we obtain the result 4x+8y=6. Next, we subtract this from the first equation to get -2y = -1, which equals y=1/2. N's coordinates are therefore (+1/2, +1/2).

The line we need to identify now goes through this point and is perpendicular to the line x+2y=0; its slope is -1/2 (the slope of the line [tex]ax+by+c=0[/tex] is -a/b). With m1*m2=-1, the line perpendicular to this one has a slope of 2. Consequently, the line that we must identify The slope of the equation is 2, and it goes through N. In order to simplify the equation, (y-1/2) = 2*(x-1/2), which results in 2y-1 = 2*(2x-1) and 2y-1 = 4x-2 and 4x-2y-1=0. The necessary equation is as follows.

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Answer:D) the sum is a binomial with a degree of 6

Step-by-step explanation:

In a recent poll, 64% of the respondents supported stricter gun laws is statistic.

What is an example of a parameter?

What is an example of a population parameter?

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Answer:

49

Step-by-step explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers  = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x  = 7

Hence, the numbers are 14, 35 and 49

Largest number = 49

∴The square root of the largest number = 7

Answer: The answer will be D

Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C

The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.

In geometry, a plane is a flat plate which extends in all directions to infinity.

Now, as per the question;

Consider the following equation.

y = 1 denotes a vertical plane in the xy plane.

Z = 7 denotes a horizontal plane parallel to the xy plane.

Both planes intersect and are perpendicular to each other.

y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.

Therefore, the points are (0,1,7), and also the line is parallel to the x axis.

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a) The distance of the plane from the airport is approximately 781.025 miles.

b) The bearing of the airplane in standard position is approximately 320.194°.

Let the location of the airport be the origin and the orthogonal axes are oriented to the east and north, respectively. Beside, let consider that the plane moves at constant speed. a) Thus, the distance of the plane can be found by using the Pythagorean Theorem:

d = √[[(240 mi / h) · (2.5 h)]² + (500 mi)²]

d ≈ 781.025 mi

b) And the bearing in standard position is determined by the following inverse trigonometric function:

θ = tan⁻¹ [(- 500 mi) / [(240 mi / h) · (2.5 h)]]

θ ≈ 320.194°

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Answer Seven hundred and thirty thousand eight hundred twelve

Answer:

1

Step-by-step explanation:

When you simplify, the answer is 1.

Answer:

1

Step-by-step explanation:

Answer:

The function h(x) =x^2-x-2/ x^2-x-6=

E.-2 and 3

If the quadratic is y = a*x^2 + b*x + c

the coordinates of the vertex are:

x = -b/2a

y = (1/2a)*( -0.5*b^2 + c)

For a quadratic equation in standard form:

y = a*x^2 + b*x + c

The x-value of the vertex is given as:

x = -b/2a

Once we get the x-value of the vertex, we can get the y-value by evaluating the quadratic equation in x = -b/2a, we will get:

y = a*(-b/2a)^2 + b*(-b/2a) + c

y = b^2/(4a) - b^2/2a + c = (1/2a)*(b^2/2  - b^2 + c)

y = (1/2a)*( -0.5*b^2 + c)

Then the coordinates of the vertex are:

x = -b/2a

y = (1/2a)*( -0.5*b^2 + c)

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Farfalla produces 2,400 kites every year.

The number of factories Farfalla owns around the globe = 3;

The number of kites produced by original factory every year = 600;

The number of kites produced by each of other 2 factories every year = 900;

Then the total kites produced by both other factories will be = 2 × 900 = 1800;

Now, the number of kites Farfalla produces every year is = 600 + 1800 = 2400;

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The ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.

In mathematics, Ratio is a term that is used to compare two or more numbers.

Given that their are 20 sports drinks in a cooler out of which 8 are orange flavored. Therefore, we can write that -

Number of orange flavored bottles = n[O] = 8

Total number of bottles = n[T] = 20

We can calculate the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler as follows -

Total number of non - orange flavored bottles will be -

n[C] = n[T] - n[O]

Now, the ration of non - orange bottles to the total number of bottle's can be written as -

n[C] / n[T]

(n[T] - n[O]) / n[T]

(20 - 8) / 20

12 / 20

3 / 5

Assume that the ratio is denoted by R. Therefore -

R = 3 : 5

Hence, the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.

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Answer: D

Step-by-step explanation: 2,6

Answer:

-23/20

Step-by-step explanation:

Answer:

15 units

Step-by-step explanation:

By using the Pythagoras Theorem,

C^2 = A^2 + B^2

Substitute in the given values,

25^2 = a^2 + 20^2

625 = a^2 + 400

625 - 400 = a^2 + 400 - 400

a^2 = 225

[tex]a = \sqrt{225} [/tex]

= 15

Hope this too helped! ^^

I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.

The solution to the given inequality is x≥50.

The given inequality is 50≤x≥1000.

Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now,

Move all terms not containing x from the centre section of the inequality.

Inequality Form: x≥50

Interval Notation: [50,∞)

The solution to the inequality is marked on the number line.

Therefore, the solution to the given inequality is x≥50.

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Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer:

12.5988 feet.

Step-by-step explanation:

Length of shadow = 15 feet.

Height of flagpole = A.

We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.

Hope this helps! :)