The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers?
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The sum of two numbers is 44. One number is 3 times as large as the other. What are the numbers

Answer:

124 km

Step-by-step explanation:

Wanda walked 43.4 km in 14 days. At this rate, how far would she walk in 40 days? She would walk__km in 40 days.

First, figure km per day:

43.4/14 = 3.1 km per day

3.1 * 40 = 124 km

She would walk 124 km in 40 days.

Answer:

She would have ran 700 feet.

Step-by-step explanation:

If there are many many poles, and she runs across 7 of them, that would be the number of poles multiplied with the distance: 7 x 100 = 700.

Answer:

They can plant 64 acres a day

Step-by-step explanation:

16 x 4 = 64

Answer:

15

Step-by-step explanation:

trust

The slope of side CD in rhombus CDEF is -2/5. Therefore, option B is the correct answer.

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square.

Given that, the rhombus is CDEF and the slope of FC is 5/2.

Here, sides FC and CD are perpendicular.

The slope of a line perpendicular to given line is m₁=-1/m₂

Slope of CD is -2/5.

Therefore, option B is the correct answer.

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Answer:

4 nickels and 8 dimes

Step-by-step explanation:

4 nickels is 0.20 and 8 dimes is 0.80

Answer:

4 nickles 8 dimes

Step-by-step explanation:

4 nickles 8 dimes

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

\(\displaystyle y=\frac{1}{3}x-6\)

Step-by-step explanation:

Dilation of a Line

Given a line that passes through points A(-3,-4) and B(-6,-5). We'll apply a dilation with a scale factor of 2 centered at the origin by multiplying each coordinate by 2. The points map to:

A'(-6,-8) and B'(-12,-10)

Now we find the equation of the line passing through A' and B'.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Substituting:

\(\displaystyle y+8=\frac{-10+8}{-12+6}(x+6)\)

\(\displaystyle y+8=\frac{-2}{-6}(x+6)\)

\(\displaystyle y+8=\frac{1}{3}(x+6)\)

Operating:

\(\displaystyle y=\frac{1}{3}x+\frac{1}{3}*6-8\)

\(\displaystyle y=\frac{1}{3}x+2-8\)

\(\boxed{\displaystyle y=\frac{1}{3}x-6}\)

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

\(a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}\)

The radius of the circle is calculated as;

\(r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96\)

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

\(b < r\\\\b < 388.96\)

\(a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)\)

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

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Answer:

c

Step-by-step explanation:

Answer:

its a reflection over the x-axis

Answer:

4 = 2 2 1

Step-by-step explanation

Answer:

1) 38

2) 56

3) 86

4)  37

5) 6 i think

6) 93

Step-by-step explanation: sorry if any of these are wrong

Answer:

The answer is 38. Sorry if it's wrong.

Answer:

theres so many missing angle messures, which one do you want lol

Step-by-step explanation:

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

5 ≤ L ≤ 35

Step-by-step explanation:

Let w represent the width of the rectangle.

The perimeter (P) of the rectangle is given by:

P = 2w + 2L

Where L is the length of the rectangle.

We know that w = 30 cm and that the perimeter is between 100 and 160 cm. We can now set up our compound inequality:

100 ≤ 2(30) + 2L ≤ 160

100 ≤ 90 + 2L ≤ 160

10 ≤ 2L ≤ 70

We can now divide both sides by 2 to solve for L:

5 ≤ L ≤ 35

Therefore, the compound inequality that represents the graph of a rectangle with a width of 30 centimeters and a perimeter of 100 centimeters to 160 centimeters is:  5 ≤ L ≤ 35

Answer:

Step-by-step explanation:

Angles <5 and <1 are adjacent to <6.

Adjacent angles refer to those angles that share a common side and common vertex but at the same time, not overlap with each other. In this question , angle <6 is sharing a side and a common vertex  with <5 and <1 without overlapping each other. Therefore, we can say that the angles are adjacent to each other.

Similarly, if we were supposed to find the adjacent angles of <1, then, the adjacent angles would be angles <6 and <2, as they are sharing the same side and common vertex with that of <1, and are not overlapping each other.

To learn more about adjacent angles:

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Answer:

G68

Step-by-step explanation:

i hope its correct and helpful

Answer:

Let x represent the number from the sentence.

Step-by-step explanation:

2(x) + 2(1/x) = 20/3

2x + 2/x = 20/3

multiply both sides of the equation by 3x

6x + 6 = 20x

6x - 20x + 6 = 0

6x - 18x - 2x + 6 = 0

6x(x-3 -2(x-3) = 0

(6x-2 = 0 or x-3 = 0

6x = 2 or x = 3

x = 2/6

x = 1/3

Since x represented the number

Therefore x = 1/3 or 3

Answer:

Mikhail is 49 years old.

Step-by-step explanation:

39+49=88

Answer:

58

Step-by-step explanation:

42+4(6-2) =

42+4(4) =

42+16 = 58

Answer:

58

Step-by-step explanation:

well first you have to do order of operations so do the stuff in the parentheses first so it would be 42+4(4) then you do multiplication and would get 42+16 and once you add that together you get 58

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

9514 1404 393

Answer:

  (x, y) = (10, 15)

Step-by-step explanation:

The second equation gives an expression for y that can be substituted into the first equation.

  5x -4(2x -5) = -10

  -3x +20 = -10 . . . . . simplify

  30 = 3x . . . . . . . . . . add 3x+10

  10 = x . . . . . . . divide by 3

  y = 2(10) -5 = 15

The solution is (x, y) = (10, 15).

Hey there! Your answer is:

7 inches

Explanation:

If Tyler is 5 inches tall, he needs to grow 7 inches to be a foot tall. This is because 12 inches are in 1 foot. We can do a simple subtraction problem to figure this out.

12 inches - 5 inches = 7 inches

Since Tyler is 5 inches tall, we know that if we subtract 12 inches from 5 inches we will get the number of inches he needs to grow.

I hope this answer helps you out! Let me know if you have any questions and have a wonderful day/night!

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10