At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 8 km/hour faster then the bicyclist heading south. At 11:00, they are 40 km apart. Find the two bicyclists' rates.

Answer:

112

Step-by-step explanation:

Both angles are vertical angles

so x + 84 = 4x

3x = 84

x = 84/3 = 28

x + 84 = 28 + 84

Answer:

external factors that impact negatively on lifestyle choices namely.unsafe road use

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be 65 + 25t

The temperature of the oven 10 minutes after being turned on will be:

= 65 + (25 × t)

where t = number of minute

= 65 + (25t)

= 65 + 25(10)

= 65 + 250

= 315°

The temperature of the oven 10 minutes after being turned on will be 315°.

The temperature of the oven t minutes after being turned on will be:

= 65 + (25 × t)

= 65 + 25t

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Answer:$65

Step-by-step explanation:69.81-4.75=65.06

65.06->65

The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20

The perimeter of a triangle is calculated by the summation of all the sides of a triangle

It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle

Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10

Further solving the equation to calculate the unknown variable x

5 + x - 4 + x - 5 = 10 + 16 + x - 10

2x - 4 = x + 16

2x - x = 16 + 4

x = 20

The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2

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The endpoints of the other diagonal are (-2, 2) and (-6, 8).

Distance formula, Algebraic expression that gives the distances between pairs of points in terms of their coordinates (see coordinate system). In two- and three-dimensional Euclidean space, the distance formulas for points in rectangular coordinates are based on the Pythagorean theorem.

Given we have a rhombus with endpoints (-10, 1) and (2, 9)

So as we already know, a rhombus is a parallelogram whose sides are equal, so the distance from say (-10, 1) to either endpoint of the other diagonal must be the same.

Distance between 2 points [tex]$\mathrm{d}=\sqrt{[-2-(-10)]^2+[2-1]^2} \Longrightarrow d=\sqrt{(-2+10)^2+(2-1)^2}$$\mathbf{d}=\sqrt{\mathbf{6 4 + 1}} \Longrightarrow d=\sqrt{65}$[/tex]

While solving with other coordinate we get [tex]$\mathbf{d}=\sqrt{(-6+10)^2+(8-1)^2}[/tex]

[tex]$\mathrm{d}=\sqrt{16+49}\\\Longrightarrow d=\sqrt{65}$[/tex]

So therefore the endpoints of the other diagonal are (-2, 2) and (-6, 8) .

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The value of x is equal to 8 and the values of AN and NB are 10 and 15 respectively.

The three points A, N and B are collinear, and N is between A and B. Collinear points are defined as set of those points which lie on the same line when plotted.

If A, N and B are collinear then,

AB = AN + NB

According to question, AB = 25, AN = 2x-6 and NB = x+7 thus,

25 = 2x-6 + x+7

25 = 3x + 1

24 = 3x

=> x = 24/3

=> x = 8

Now, AN = 2x-6 = 16-6 = 10

NB = x+7 = 8+7 = 15

Thus, the values of x, AN and NB are 8, 10 and 15 respectively.

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Answer:

1/2

1/4

1/4

0/16

2 times

Step-by-step explanation:

THERE ARE 16 SQUARES TOTAL

8 triangles: 8/16 = 1/2

4 stars: 4/16 = 1/4

4 empty spaces: 4/16 = 1/4

0 circles = 0/16

8*1/4 is 2, so 2 times.

The values of the inequalities will be:

1. -14>w+3 = w < -17

2. 3w > -27 = w > -9

It should be noted that an inequality simply means the expression that illustrates that the variables aren't equal. This can be used by uinng less than, greater than, etc.

The inequalities will be:

-14>w+3

Collect like terms

-14 - 3 > w

-17 > w

w < -17

3w > -27

Divide both side by 3

3w/ 3 > -27/3

w > -9

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the upper bound for the surface area of the cube.​ is 14 m².

Volume of cube = 3.37 m³

We know the formula is:

V = a³ (where a is the side of the cube)

a³ = 3.37 m³

Cube rooting both the sides, we get that:

a = ∛3.37 m

Surface area will be:

A = 6 a²

A = 6 (∛3.37 m)²

A =6 (2.25 m²)

A = 13.5 m²

A ≈ 14 m²

Therefore, we get that, the upper bound for the surface area of the cube.​ is 14 m².

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The distance between the points is 4.48

The coordinates of th points are given as:

(-2.63, 7) and (1.85,7)

The distance between the two points is calculated using

d = √(x2 - x1)^2 + (y2 -y1)^2

So, we have

d = √(-2.63 - 1.85)^2 + (7 - 7)^2

Evaluate

d = 4.48

Hence, the distance between the points is 4.48

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Answer:

j=50°

Step-by-step explanation:

10x-20=5x-3+4x-2( ext angle of ∆)

10x-5x-4x=-3-2+20

x= 15

substitute the value if x

10(15)-20+ j=180 ( sum of angles in straight line)

130+j=180

j=180-130

j=50°

In order to comply with the required slope, the ramp must extend 36 ft from the house.

So, to find the distance:

The formula of slope:

Vertical distance is now given as 3 ft.

To conform to the given slope, this means that:

Cross multiply:

Therefore, in order to comply with the required slope, the ramp must extend 36 ft from the house.

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Answer:

y = 2/5x + 1

Step-by-step explanation:

If two lines are parallel, their slopes are equal

so the slope would be 2/5

if y = -7, x = -20, m = 2/5

slope-intercept form:

y = mx + b

-7 = 2/5(-20) + b

-7 = -8 + b

b = 1

then y = 2/5x + 1

Answer:

see explanation

Step-by-step explanation:

A

the common difference d of the arithmetic sequence is

d = a₂ - a₁ = 79 - 83 = - 4

B

the explicit formula of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 83 and d = - 4 , then

[tex]a_{n}[/tex] = 83 - 4(n - 1) = 83 - 4n + 4 = 87 - 4n

45,555 does, but the other one doesn't.

Answer:

y = 4 x - 3

Step-by-step explanation:

Find the equation of the line in slope-intercept form with the properties:

point: p_1 = (4, 13)

point: p_2 = (2, 5)

The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):

m = (5 - 13)/(2 - 4) = (-8)/(-2) = 4

Substitute the slope m = 4 and point (x_1, y_1) = (4, 13) into the point-slope equation y - y_1 = m (x - x_1):

y - 13 = 4 (x - 4)

Add 13 to both sides:

y = 13 + 4 (x - 4)

Distribute: 4 (x - 4) = 4 x - 16:

Answer:  y = 4 x - 3

Step-by-step explanation:

if I understand you correctly, then let's call the missing numbers l, r (for left and right).

and

-2 = l × r

-5 = l + r

l = -r - 5

therefore,

-2 = (-r - 5) × r = -r² - 5r

that gives us the quadratic equation

-r² - 5r + 2 = 0

for the general solutions

x = (-b ± sqrt(b² - 4ac))/(2a)

we have here

a = -1

b = -5

c = 2

and x = r, of course

r = (5 ± sqrt(25 - 4×-1×2))/(2×-1) =

= (5 ± sqrt(25 + 8))/-2 = (5 ± sqrt(33))/-2

r1 = (5 + sqrt(33))/-2 = -5.372281323...

r2 = (5 - sqrt(33))/-2 = 0.372281323...

as l = -r - 5, we see that r1 = l2, and r2 = l1.

but these are the only solutions.

there are no integer number solutions.

Answer:

6 2/9

Step-by-step explanation:

56 divided by 9 is 6.22 and 2/9 is .22

The value of v using the equation ( 2v/3 ) + 6 = ( v/3 ) - 2 is v = - 24.

Two-thirds of anything is an amount that is two out of three equal parts of it. Similarly, one-third of something is an amount that is one out of three equal parts of it.

Now, we have

Two-thirds times v plus 6 equals one-third times v minus 2.

Hence, when the above statement is expressed as an equation we get:

Two third of v + 6 = one third of v - 2

2/3 × v + 6  = 1/3 × v - 2

( 2v/3 ) + 6 = ( v/3 ) - 2

Adding 2 on both sides of the equation,

( 2v/3 ) + 6 + 2 = ( v/3 ) - 2 + 2

( 2v/3 ) + 8 = ( v/3 )

Subtracting 2v/3 from both sides of the equation,

2v/3 + 8 - 2v/3 = v/3 - 2v/3

8 = ( v - 2v )/3

- v/3 = 8/1

By cross multiplication,

- v × 1 = 8 × 3

- v = 24

Multiplying each side by - 1,

v = - 24

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The conclusion might be accurate or inaccurate.

The conclusion could be true or false if an argument has some true premises and some false premises and is valid. You only know that the premises cannot both be true and the conclusion must be false because the argument is sound. But the incorrect premises already rule out the possibility of possessing this set of truth values (that is, you cannot have all true premises). As a result, the argument's validity is unaffected whether the conclusion is true or untrue. As a result, the conclusion of an argument that contains only false premises may or may not be true.

TRUE. A valid argument cannot, by definition, have a false conclusion and all true premises.

Therefore, a valid argument must have an erroneous premise if it has a false conclusion.

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The total number of registered doctors are estimated as 236,995.

A percentage is a relative value that represents the hundredth part of any quantity. One percent (symbolized 1%) is one hundredth part; thus, 100 percent signifies the entire amount and 200 percent specifies twice this same given amount.

Now, as per the given question;

It says, from all the registered doctors 17.3% is female doctors.

Now, let use assume that the total number of registered doctors be 'x'.

Then, 17.3% of this x will give 41,000 female doctors.

So, the equation will form as;

17.3% of x = 41,000

Or, (17.3×x)/100 = 41,000

x = (41,000×100)/17.3

x = 236,994.21

x = 236995 (nearest whole number)

Therefore, the total number of the registered doctors are estimated as 236995.

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Answer:

-4.27

Hope this helps.

Step-by-step explanation:

Because the negative number ( - 4.37 ) is bigger than 0.1, the answer is going to end up negative. You can swap sides on the equation to become         - 4.37 + 0.1,  in which case is 4.36 - 0.1  but you have to remember to add the negative sign afterward.

Answer:

61.96 inches.

Step-by-step explanation:

Answer:

90900

Step-by-step explanation:

Answer:

9.09 x 10*4.

Step-by-step explanation:

9x10^4 + 9x10^2

= 90000 + 900

= 90900

= 9.09 x 10*4.

Answer: x=m-y/n

Step-by-step explanation:

The expression with x as the subject is x = mn - y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m = (x + y) / n

x as the subject means we have to solve for x.

Now,

m = (x + y) / n

Multiply both sides by n.

mn = x + y

Subtract y on both sides.

mn - y = x

x = mn - y

Thus,

x = mn - y.

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The coordinates are:

To find the coordinates:

In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:

[tex]$$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$[/tex]

Each segment has two endpoints and two midpoints, which are as follows:

We must be cautious not to add the wrong coordinates.

In the first line A:

[tex]$$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$[/tex]

So (3,7) is the other endpoint where the segment begins (1,-9).

The endpoint of the second line b at (-2,18) and its midpoint (5,9).

[tex]$$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$[/tex]

So, (12,0) is the opposite endpoint.

Therefore, the coordinates are:

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The correct question is given below:

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).

The adjustment of both numbers and using compensation to find $7.99 + $19.99 mentally is $27.98

It should be noted that compensation is the mental strategy in Mathematics used for addition by adjusting one of rte addends.

It should be noted that $7.99 is almost the same as $8. It should be noted that $19.99 is the same as $20. This is the compensation or the numbers.

Therefore, the addition of the numbers $7.99 + $19.99 will be:

= $7.99 + $19.99

= $27.98

In conclusion, the answer is $27.98.

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