Last week Ms. Foss worked 6.1 times as many hours as Mr. Sutton. Mr. Sutton
worked 5.4 hours.
How many hours did Ms. Foss work?

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:

112

Step-by-step explanation:

Both angles are vertical angles

so x + 84 = 4x

3x = 84

x = 84/3 = 28

x + 84 = 28 + 84

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 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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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 amount of tape left in metres is 0.75 metres.

Each group of students gets 10 newspapers and 2 meters of tape.  

This means the total length of tape for each group of student is as follows:

length of tape for each group = 2 metres

Sue's group decides to roll up each of their newspapers. Then, they tape each roll with 125 millimetres of tape.

Each roll of the 10 newspaper was taped with 125 mm tape.

Hence,

total taping = 125 × 10

total taping = 1250 mm

Let's convert from millimetres to metres.

Therefore,

1 mm = 0.001 m

1250 mm = ?

cross multiply

amount of taping done by Sue's group = 1.25 m

Therefore,

amount of meters of tape left = 2 - 1.25 = 0.75 metres

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Answer:

2

Step-by-step explanation:

13+13=26

Answer:

Twice

Step-by-step explanation:

13+13=26

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

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

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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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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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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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 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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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:

-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:

oh no I lost the Answer is was 18369

Answer:

Step-by-step explanation:

Answer: you will have $53,687,091.2 dollars once you reach the thirty-day milestone.

Step-by-step explanation:

Multiply 0.05 by 2 thirty times to get your answer.

0.05 * 2^30

0.05 * 1,073,741,824 = $53,687,091.2 or 10,737,418.24 nickels.

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:

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.

Answer:

61.96 inches.

Step-by-step explanation:

Answer:

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

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.

The value of x will be 34°

Given that

(x+12)°+100°+x° are forming linear pair

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

As mentioned, adjacent angles are angles that are next to each other. If you are sitting next to someone in class or on the bus, you could say that you are adjacent to them. More specifically, adjacent angles share a vertex and have a common side.

(x+12)°+100°+x°= 180°

⇒ x+ 12+ 100+x = 180°

⇒ 2x+112 = 180°

⇒ 2x = 180- 112

⇒ 2x = 68

⇒ x= 68/2

⇒ x= 34

For verification we will put value of x

(34+12)°+100°+34°

⇒ 46°+100°+34°

⇒146°+34°

⇒ 180°

So here we can see that by putting value of x we are getting the sum of 180°

Therefore value of x is 34

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Answer:

6 2/9

Step-by-step explanation:

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

Answer:

About 9 sq yd

Step-by-step explanation:

First, you know that 3ft. = 1 yd. That means each square is 1 sq yd. The length of the herb garden is 6 squares, while the width is about 1.5 squares. If you multiply those two to find the area, then you get about 9 square yards.

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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