Match each table showing a proportional relationship between x and y with its constant of proportionality.

Answer:

1) From Columbus to San Juan, Sam flies 2,028 miles

2)Sam will have 460 miles more miles to fly to Kralendijk  

Step-by-step explanation:

The given information are;

The total (flight) distance from Columbus, Ohio to Kralendijk, Bonaire = 2,488 miles

The distance Sam flies from Columbus to Miami, Florida = 995 miles

The distance Sam flies from Miami to San Juan = 1,033 miles

1) Therefore, the number of miles Sam travels flying from Columbus to San Juan is given as follows;

The number of miles Sam will have to travel flying from Columbus to San Juan = (The distance Sam flies from Columbus to Miami, Florida) + (The distance Sam flies from Miami to San Juan)

The number of miles Sam will have to travel flying from Columbus to San Juan = 995 miles +  1,033 miles = 2028 miles

The number of miles Sam will have to travel flying from Columbus to San Juan = 2,028 miles

Therefore, from Columbus to San Juan, Sam flies 2,028 miles

2) The number of more miles Sam has to fly to Kralendijk from Sam Juan is therefore;

The number of more miles Sam has to fly to Kralendijk from Sam Juan = (The total (flight) distance from Columbus, Ohio to Kralendijk, Bonaire) - (The number of miles Sam will have to travel flying from Columbus to San Juan)

The number of more miles Sam has to fly to Kralendijk from Sam Juan = 2,488 miles  - 2,028 miles = 460 miles.

The number of more miles Sam has to fly to Kralendijk from Sam Juan = 460 miles.

Therefore, Sam will have 460 miles more miles to fly to Kralendijk  

From the division of the trip into parts, it is found that:

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

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

Since Columbus to Miami is 995 miles and Miami to San Juan is 1033 miles, we have that the distance from Columbus to San Juan, in miles, is of:

[tex]995 + 1033 = 2028[/tex]

Thus:

From Columbus to San Juan, Sam flies 2028 miles.

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

[tex]2028 + x = 2488[/tex]

[tex]x = 2488 - 2028[/tex]

[tex]x = 460[/tex]

Thus:

He will have more 460 miles to fly.

A similar problem is given at https://brainly.com/question/24352869

Answer:

Irrational Number

Step-by-step explanation:

Answer:

"The sum of a rational number and an irrational number is irrational."

Step-by-step explanation:

By definition, an irrational number in decimal form goes on forever without repeating (a non-repeating, non-terminating decimal). By definition, a rational number in decimal form either terminates or repeats.

Answer:

the paper is 54.79 cm .

Step-by-step explanation:

34.85 * 2 = 69.7 ( two pieces of paper altogether )

69.7 - 14.91 = 54.79 ( when got cut )

Answer:

6 1/10

Step-by-step explanation:

0.1 is 1/10 of 100. So the answer is 6 1/10

Hope This Helps :)

answer is C 0.3

I just took the test

Answer:

  -24

Step-by-step explanation:

The integer in "elevation of -24 meters" is -24.

Answer: 18

Step-by-step explanation:

To average 20 in 4 games, she would need 80 points in total. In her 3 games, she gets 62 points.

80 - 62 = 18

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

[tex]\frac{x+5}{x-2} = \frac{3}{4}\\[/tex]

Cross multiplying 4 & 3 gives :-

[tex]4(x+5)=3(x-2)[/tex]

And solving this eqn. gives :-

[tex]4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26[/tex]

Verification :-

(putting the value of x = -26 )

[tex]\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}[/tex]

Reducing  [tex]\frac{21}{28}[/tex]  by 7 gives  [tex]\frac{3}{4}[/tex] .

Answer:

the Answer is the 1,3,and 4

Answer:

C

Step-by-step explanation:

it says that if he makes an a, he will take advanced math, and if he does that he'll join the math team, so since henry made an a, he is gonna take advanced math and join the team.

Answer:

The answer is A) Henry will take Calculus

Step-by-step explanation:

If he made an A in math class, then he would take advanced math next year, which would be Calculus. then he will join the math team, which would be next.

Hope this helps :)

Answer:

The mean increased, but the median stayed the same

Step-by-step explanation:

hope it help luvs

The mean increased, but the median remained constant If new dogs' weights are added to the data set.

The mean of a data set is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

16, 34, 44, 20, 50, 19, 30, 54

Arrange the data in ascending order, we get

16, 19, 20, 30, 34, 44, 50, 54

The median of the given data would be (30+34)/2 = 32.

Here, n = 8

⇒ ∑x = Sum of Observations

⇒ ∑x = 267

Mean = ∑x/n

Mean = 267/8

Mean = 33.375

If two more dogs weighing 25 pounds and 45 pounds come to the kennel.

Arrange the given data in ascending order, we get

16, 19, 20, 25, 30, 34, 44, 45, 50, 54

The new median of the data would be (30+34)/2 = 32.

New mean = 337/10 = 33.7

Therefore, the mean increased, but the median remained constant If new dogs' weights are added to the data set.

Learn more about the mean of the data set here:

brainly.com/question/13000783

#SPJ2

Answer:

i dunno

Step-by-step explanation:

somebody help

Answer:

Step-by-step explanation:

[tex]a+c=23\\a+d=20\\e+c=21\\b+e=24\\d+b=22\\[/tex]

...

A withdrawal is taking money out which is a negative value.

She took $18 out so it would be written as -18.

The answer is:

A number line going from negative 20 to positive 20. A point is at negative 18.

Answer:

Carly withdraws $18 from her bank account.

We assume that Carly has $x in her account. She withdraws $18 from her bank account.

So we have to subtract $18 from $x amount.

Which is $x - 18.

So we are subtracting $18 from her account.

It should be represented by an integer -18.

Now we have to identify the which number line represents -18.

It is D)

Step-by-step explanation:

Answer:

1.3 cups

Step-by-step explanation:

if 3/4 cups of sugar are needed for every 2 1/4 cups of flour then for 4 cups of flour: (3/4*4)/(9/4) =1.3 cups of sugar

if 1 cup of sugar for every 3 cups of flour then

x=4/3=1.3

Area=[tex]\pi[/tex] [tex]r^{2}[/tex]

divide diameter with 2 to get radius 13/2= 6.5

area= pi 6.5x6.5

=[tex]\pi[/tex]42.25

answer= 42.25[tex]\pi[/tex]

Area of a circle is equal to [tex]\boldsymbol{132.8}[/tex] square inches.

A circle is a collection of all the points that are at the fixed distance (radius) from a fixed point (center).

Diameter of a circle [tex]=\boldsymbol{13}[/tex] centimeter

Radius of a circle is half of the diameter.

So,

Radius of a circle [tex]=\frac{13}{2}[/tex] centimeter

Area of a circle [tex]=\boldsymbol{\pi r^2}[/tex] where [tex]r[/tex] denotes radius of a circle.

                         [tex]=\frac{22}{7}\times \left ( \frac{13}{2} \right )^{2}\\=132.7857[/tex]

                         [tex]\boldsymbol{\approx 132.8}[/tex] square inches

So, area of a circle is equal to [tex]\boldsymbol{132.8}[/tex] square inches.

Find out more information about circle here:

https://brainly.com/question/11833983?referrer=searchResults

Answer:0.32

Step-by-step explanation:

3x and 4x are like terms. Add them together and you get 7x.

2 and -1 are like terms. Add them together and you get 1.

3x+2+4x-1

7x+1 is your final answer

Answer:

Translation of MATH to M'A'T'H' by 5 units to the left.

Step-by-step explanation:

From the figure attached,

Quadrilateral MATH has been transformed to the image M'A'T'H'.

Shape and size of MATH is not altered in this transformation, only translation has been done.

We take a point A(4, 3) which has been translated to A'(-1, 3).

Rule followed for the translation,

(x, y) → (x-5, y)

Translation by 5 units to the left.

Answer:

lol the number of comments got maxed out

Step-by-step explanation:

Answer: 49 degrees

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

[tex]-(5-6) x (2-7^{2})\\[/tex]

[tex]-(-1) x (2-49)[/tex]

1 x (-47)

= -47

We know that,

[tex]\dag\bf\:sin^2A=\dfrac{1-cos2A}{2}[/tex]

[tex]\dag\bf\:sin2A=2sinA\:cosA[/tex]

___________________________________

Now, Let's solve !

[tex]\leadsto\:\bf\dfrac{sin^2A-sin^2B}{sinA\:cosA-sinB\:cosB}[/tex]

[tex]\leadsto\:\sf\dfrac{\frac{1-cos2A}{2}-\frac{1-cos2B}{2}}{\frac{2sinA\:cosA}{2}-\frac{2sinB\:cosB}{2}}[/tex]

[tex]\leadsto\:\sf\dfrac{1-cos2A-1+cos2B}{sin2A-sin2B}[/tex]

[tex]\leadsto\:\sf\dfrac{2sin\frac{2A+2B}{2}\:sin\frac{2A-2B}{2}}{2sin\frac{2A-2B}{2}\:cos\frac{2A+2B}{2}}[/tex]

[tex]\leadsto\:\sf\dfrac{sin(A+B)}{cos(A+B)}[/tex]

[tex]\leadsto\:\bf{tan(A+B)}[/tex]

Answer:  see proof below

Step-by-step explanation:

Use the Power Reducing Identity:  sin² Ф = (1 - cos 2Ф)/2

Use the Double Angle Identity:  sin 2Ф = 2 sin Ф · cos Ф

Use the following Sum to Product Identities:

[tex]\sin x - \sin y = 2\cos \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x - \cos y = -2\sin \bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \dfrac{\sin^2A-\sin^2B}{\sin A\cos A-\sin B \cos B}[/tex]

[tex]\text{Power Reducing:}\qquad \dfrac{\bigg(\dfrac{1-\cos 2A}{2}\bigg)-\bigg(\dfrac{1-\cos 2B}{2}\bigg)}{\sin A \cos A-\sin B\cos B}[/tex]

[tex]\text{Half-Angle:}\qquad \qquad \dfrac{\bigg(\dfrac{1-\cos 2A}{2}\bigg)-\bigg(\dfrac{1-\cos 2B}{2}\bigg)}{\dfrac{1}{2}\bigg(\sin 2A-\sin 2B\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{1-\cos 2A-1+\cos 2B}{\sin 2A-\sin 2B}\\\\\\.\qquad \qquad \qquad =\dfrac{-\cos 2A+\cos 2B}{\sin 2A - \sin 2B}\\\\\\.\qquad \qquad \qquad =\dfrac{\cos 2B-\cos 2A}{\sin 2A-\sin 2B}[/tex]

[tex]\text{Sum to Product:}\qquad \qquad \dfrac{-2\sin \bigg(\dfrac{2B+2A}{2}\bigg)\sin \bigg(\dfrac{2B-2A}{2}\bigg)}{2\cos \bigg(\dfrac{2A+2B}{2}\bigg)\sin \bigg(\dfrac{2A-2B}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{-2\sin (A + B)\cdot \sin (-[A - B])}{2\cos (A + B) \cdot \sin (A - B)}[/tex]

[tex]\text{Co-function:}\qquad \qquad \dfrac{2\sin (A + B)\cdot \sin (A - B)}{2\cos (A + B) \cdot \sin (A - B)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \dfrac{\cos (A+B)}{\sin (A+B)}\\\\\\.\qquad \qquad \qquad \quad =\tan (A+B)[/tex]

LHS = RHS:    tan (A + B) = tan (A + B)    [tex]\checkmark[/tex]

[tex]\huge\boxed{0}[/tex]

Any value minus itself will always be [tex]0[/tex]. This means that no matter what the value of [tex]v[/tex] is, [tex]6v-6v=\boxed{0}[/tex].

Answer:

multiplication property

Step-by-step explanation:

The multiplication property states that the product of any number and zero is zero. It doesn't matter what the number is, when you multiply it to zero, you get zero as the answer. So: 2 x 0 = 0.

1073.4 centimeters = 1.073 decameters

Answer:

107.34 decimeter

Step-by-step explanation:

Answer: Subtract

Step-by-step explanation: Make your denominator equal using the concept of LCM, then subtract the numerators accordingly. Rewrite each fraction to its equivilent fraction with a denominator equal to the LCM=30, then you need to subtract the numberators, but make sure to reduce your answer to the lowest possible term. I hope this helps.

Answer:

when you find the common denominators you find the LCM.

Step-by-step explanation:

Answer:

2x+1= 8

2x= 8-1

2x= 7

x= 7/2

x= 3.5

hope this helps uh

Answer:

[tex]y=8[/tex]

[tex]RS=77, ST=31[/tex]

Step-by-step explanation:

Note that the entire segment RT is the combined lengths of RS and ST. So:

[tex]RT=RS+ST[/tex]

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

[tex]108=(9y+5)+(3y+7)[/tex]

On the right, combine like terms:

[tex]108=(9y+3y)+(5+7)[/tex]

Add:

[tex]108=12y+12[/tex]

Subtract 12 from both sides. The right cancels:

[tex]96=12y[/tex]

Divide both sides by 12:

[tex]y=8[/tex]

So, the value of y is 8.

To find RS and ST, substitute 8 for y. So:

[tex]RS=9y+5[/tex]

Substitute 8 for y:

[tex]RS=9(8)+5[/tex]

Multiply:

[tex]RS=72+5[/tex]

Add:

[tex]RS=77[/tex]

Do the same for ST:

[tex]ST=3y+7[/tex]

Substitute 8 for y:

[tex]ST=3(8)+7[/tex]

Multiply:

[tex]ST=24+7[/tex]

Add:

[tex]ST=31[/tex]

Answer: 82° 49'

Step-by-step explanation: A degree is subdivided

into minutes and seconds.

1° = 60' and 1' = 60"

One degree = 60 minutes

123° 15' - 40° 26'

= 7395' - 2426'

= 4969'

= 82° 49'

Answer:

[tex]x\le \:-\frac{20}{21}[/tex]

Step-by-step explanation:

[tex]-3\left(9x+20\right)\ge \:15x-20\\\\\mathrm{Expand\:}-3\left(9x+20\right):\quad -27x-60\\-27x-60\ge \:15x-20\\\\\mathrm{Add\:}60\mathrm{\:to\:both\:sides}\\-27x-60+60\ge \:15x-20+60\\\\\mathrm{Simplify}\\-27x\ge \:15x+40\\\\\mathrm{Subtract\:}15x\mathrm{\:from\:both\:sides}\\-27x-15x\ge \:15x+40-15x\\\\\mathrm{Simplify}\\-42x\ge \:40\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-42x\right)\left(-1\right)\le \:40\left(-1\right)[/tex]

[tex]Simplify\\42x\le \:-40\\\\\mathrm{Divide\:both\:sides\:by\:}42\\\frac{42x}{42}\le \frac{-40}{42}\\\\Simplify\\x\le \:-\frac{20}{21}[/tex]

Answer:

708480

Step-by-step explanation:

You follow the order of BEDMAS. There are brackets in this equation, meaning we have to focus on what is inside the brackets first. The next step is Exponents. So you multiply 2.05 by 10^5.

This would give you 205000.

You then multiply this number by the number on the outside of the brackets which is 3.456.

This would give you 708480. (You can get these answers by using a calculator).

Don't forgot to follow the order of BEDMAS or whatever law of operations you were taught (BIDMAS/BIMDAS etc)