A traveler from Europe wants to
convert the distance 700 miles to
kilometers. If 1 mile equals
1.61 kilometers, what is the distance
between the two cities in kilometers?

Answer:

Primer hermano = x = 16 años

Segundo hermano = y = 9 años

Step-by-step explanation:

Representemos sus edades como:

Primer hermano = x

Segundo hermano = y

Dos hermanos tienen 7 años de diferencia

= x - y = 7

x = 7 + y

La suma de los cuadrados de sus edades es 337.

x² + y² = 337

Sustituyendo

(7 + y) ² + y² = 337

Cuadrado

(7 + y) (7 + y) + y² = 337

49 + 7y + 7y + y² + y² - 337 = 0

2y² + 14y - 288 = 0

Paso 1: Factoriza el lado izquierdo de la ecuación.

2 (y − 9) (y + 16) = 0

Paso 2: Iguala los factores a 0.

y - 9 = 0 o y + 16 = 0

y = 9 o y = −16

Por tanto, y = 9 años

x = 7 + y

x = 7 + 9

x = 16 años

Primer hermano = x = 16 años

Segundo hermano = y = 9 años

Answer:

4

Step-by-step explanation:

m= y2-y1

     x2-x1

m= 3+1  (anything minus a negative is a positive!)

     2-1

m=4

Answer:

320 cm² or 264 cm²

Step-by-step explanation:

first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²

the 2 square faces will be either 8 x 8 or 6 x 6.

If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²

If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²

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Answer:

Step-by-step explanation:

What is 3.37 as a percent?

To write 3.37 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

3.37 * 100 = 337%

And finally we have:

3.37 as a percent equals 337%

Answer:

337%

Step-by-step explanation:

3.37x100=337

Answer:

A) 35/12

Step-by-step explanation:

The tangent of an angle is the opposite side of that angle over the adjacent side of the angle

Answer:

6

Step-by-step explanation:

Answer:

parallelogram is a special type of rectangle, a square. A square is one of the most basic geometric shape

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

Answer:

600

Step-by-step explanation:

Formula - length x width x height

(5 x 12 x 10)

Answer:

yn +y -xn

Step-by-step explanation:

Mean= sum of numbers ÷number of numbers

x= sum of n numbers ÷n

Multiply both sides by n:

xn= sum of n numbers

sum of n numbers= xn -----(1)

Let the number added be a.

After a has been added,

y= (sum of n numbers +a) ÷(n+1)

Multiply both sides by (n +1):

y(n +1)= sum of n numbers +a

sum of n numbers= y(n +1) -a -----(2)

Substitute (1) into (2):

xn= y(n +1) -a

Expand:

xn= yn +y -a

a= yn +y -xn

Let's check!

Let the numbers be 1, 2, 3 and 4.

mean, x= 10 ÷4= 2.5

n= 4

Let the new number added, a, be 7.

a= 7

mean, y= 17 ÷5= 3.4

a= yn +y -xn

a= 3.4(4) +3.4 -2.5(4)

a= 7

Thus, the expression is true.

Answer:

The correct answer is 9 feet.

Step-by-step explanation:

Answer:

24, 12, 10, 15, 10, 22, 12

mean:  7

median: 12

mode:  12

Range: 14

Step-by-step explanation:

Answer: Mean=15, Median=12, Mode=10 and 12, Range=14

Step-by-step explanation:

Data:

Numbers: 10, 10, 12, 12, 15, 22, 24

Mean: x, Median: x, Mode: x, Range: x

Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers

10+10+12+12+15+22+24=105/7=15

Mean=15

Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.

Step Two, Find the Median(middle) by finding the number in the middle

10, 10, 12, 12, 15, 22, 24

Median=12

Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.

Step Three, Find the mode by finding the number that show up the most

10, 10, 12, 12, 15, 22, 24

Mode=10 and 12

Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.

Step Four, Find the range by subtracting the biggest number by the smallest

24-10=14

Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.

I hope this helps!

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

Answer:

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Answer:

40%

Step-by-step explanation:

Find the percent by dividing 220 by 550

220/550

= 0.4

So, he spends 40% of his monthly income on gas

Answer: 40%

Step-by-step explanation:

I  would put an explanation but I am supposed to be in class!

Answer:2

Step-by-step explanation: because

Answer: c. 420 m

Step-by-step explanation:

Answer:

cos 75 = 16/x ---> x = 16/cos75 = 61.8 ft.

Answer:

2/3(x+9)=22

Step-by-step explanation:

Answer:

1.12 2.12.gg

Step-by-step explanation:

1 and 2. ggg dude ytsr5e3uvrrhitghhbnnmkooyffrrcchutddb

number 3 going across the x axis

number 5 going across the y axis

Answer:

-37/6

Step-by-step explanation:

Answer:

119cm

Step-by-step explanation:

add 37 and 24 you get 61 and the size of a triangle no matter what is going to be 180 so then subtract 180 from 61 and get 119.

Answer:

x=2  y=-4

Step-by-step explanation:

2x-y=4   solve for x

2x-0=4

2x=4+0

2x=4 . divide both sides by 2

x=2

2x-y=4 .  solve for y

0-y=4

-y=4 . divide both sides by -1

y=-4

Answer:

(d) Using the commutative property

Step-by-step explanation:

Given

The above steps

Required

Which is not part of the process

We have:

[tex]5(2x-8)= 20[/tex]

[tex]10x - 40 = 20[/tex]

[tex]10x - 40+ 40 = 20 + 40[/tex]

[tex]10x = 60[/tex]

[tex]\frac{10x}{10} = \frac{60}{10}[/tex]

[tex]x = 6[/tex]

Comparing the above steps with the given list of options, we can see that the commutative property is not applied at all.

Other properties are:

[tex]5(2x-8)= 20[/tex] ---- Distributive

[tex]10x - 40+ 40 = 20 + 40[/tex] ---- Like terms

[tex]\frac{10x}{10} = \frac{60}{10}[/tex] --- Isolating the variable

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5

Answer:

Step-by-step explanation:

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The two endpoints are (-6, -2) and (8, -9). And m: n = 2: 5. Then the value of the x-coordinate is calculated as,

x = (2 · 8 + 5 · -6) / (2 + 5)

x = (16 - 30) / (7)

x = - 14 / 7

x = - 2

The x-coordinate of the point that divides the line segment will be -2. Then the correct option is B.

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ7

Answer:

Length & Breadth could be : 4 meters , 5 meters

Step-by-step explanation:

Border, ie perimeter measurement of Rectangle = 2 ( Length + Breadth )

So, 2 (Length + Breadth) = 18

Length + Breadth = 18 / 2

Length + Breadth  = 9

So, sum of length & breadth must be = 9.

(L, B) = (2,5) ; (2,8) ; (2,9) and (3,5) ; (3,8) ; (3,9) don't satisfy this condition. (4,5) ; (4,8) also don't.

(L, B) = (4,5) satisfy it. As sum 4 + 5 = 9.

Answer:

Which graph best represents the change in population of the two cities?

Year Townville Village City

1960 37,500 17,500

1970 42,500 25,000

1980 35,000 20,000

1990 30,000 30,000

2000 15,000 32,500

Step-by-step explanation:

A. is right