Question is attached ​

The two equations that can represent the relationship is

i. x +( x+1) + (x+2) = 42 and

Ii. (x-1) +x + (x+1) = 42 ( option A and C)

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

For example, 4,5,6,7 are consecutive integers. This means that the difference between two consecutive numbers is 1.

If the first number is x, then the second number is (x+1 ) and the third number is (x+3)

The sum of the three number is x +( x+1) + (x+2) = 42

if the second number is x, then the first number is (x-1) and the third number is x+1

Therefore the sum of the three numbers can also be written as (x-1) +x + (x+1) = 42

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Answer:

No, the lines are not parallel

Step-by-step explanation:

They are not parallel because the slopes of the lines are not equal.

Answer: y = 1x+4

the related between the x and y is x plus one and y plus 4

Step-by-step explanation:

Answer:

x=42

Step-by-step explanation:

Figure A has been scaled by 2/7, so we know that[tex]x * 2/7 = 12.[/tex] Multiplying both sides by 7 gives us [tex]2x = 84[/tex]. Dividing both sides by 2 gives us that x = 42. This is our answer.

Answer: 42

Step-by-step explanation:

2/7x=12

x = 12 * 7/2

x=84/2

x=42

Answer:

answer is c

Step-by-step explanation:

I learned matrix

Answer: 1⋅3+1(−√2)+√2⋅3+√2(−√2)

Step-by-step explanation:

calculate the size of the exterior and interior angles of all the different polygon.

The value of the angles of the given quadrilateral are;

8) ∠X = 124° = ∠W

∠Y = 56° = ∠Z

9) ∠J = 44° = ∠K

∠L = 136° = ∠M

The sum of angles of a quadrilateral is equal to 180 degrees. Now, in the quadrilateral given, the two angles on the slant side always equal 180 degrees. Thus;

8) From the given trapezium, we can use the definition above to say that;

∠X + ∠Y = 180°

Thus;

(13x - 7)° + (8x - 2)° = 180°

21x - 9 = 180

21x = 189

x = 189/21

x = 9

Thus;

∠X = (13(9) - 7)°

∠X = 124° = ∠W

∠Y = 180° - 124°

∠Y = 56° = ∠Z

9) From the above, we can apply the same to this quadrilateral to get;

7x + 2 + 25x - 14 = 180

32x - 12 = 180

32x = 180 + 12

32x = 192

x = 192/32

x = 6

∠J = (7(6) + 2)

∠J = 44° = ∠K

∠L = 180 - 44

∠L = 136° = ∠M

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The midpoint of the segment given (5,5) and (1,1) is (3, 3).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].

The midpoint of the line segment with endpoints (5,5) and (1,1)

= [ ( 5 + (1))/2 , ((5) + 1)/2 ]

= [ (6)/2 , 6/2 ]

= [ 3, 3

Therefore, the midpoint of the line segment with endpoints is (3, 3).

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Answer:

93%

Step-by-step explanation:

651/700

Answer: 93%

Step-by-step explanation:= (

(651 × 100/700) × 1/100 = 93/100

The amount that each employee will get out of the bonus to your department will be $3,000.

What will each employee get?

You manage a staff of 9 employees in your department which means that there are 10 people in total.

The amount that each person will get from the bonus will therefore be:

= 30,000 / 10 employees

= $3,000

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Answer: To calculate the volume of the concrete required to make the drain, we need to find the volume of the cylinder formed by the outside diameter of the drain and subtract the volume of the cylinder formed by the inside diameter of the drain.

The formula for the volume of a cylinder is:

V = πr^2h

where V is the volume, r is the radius of the base of the cylinder, and h is the height of the cylinder.

The radius of the base of the outside cylinder is 0.5m (the diameter of 1m divided by 2) and the height is 10m. The radius of the base of the inside cylinder is 0.4m (the diameter of 0.8m divided by 2) and the height is also 10m.

So the volume of the outside cylinder is:

V = π * 0.5^2 * 10 = 15.7 m^3

and the volume of the inside cylinder is:

V = π * 0.4^2 * 10 = 12.6 m^3

To find the volume of the concrete required to make the drain, we subtract the volume of the inside cylinder from the volume of the outside cylinder:

15.7 m^3 - 12.6 m^3 = 3.1 m^3

So the volume of concrete required to make the drain is approximately 3.1 cubic metres. To the nearest tenth of a cubic metre, this is 3.1 m^3.

Angle A = 40 degrees

Angle C = 70 degrees

Side AC = 12 cm

Answer:

there are no equations below...

Step-by-step explanation:

Answer:

The second company should get the contract.

Question

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.

Reason

Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.

The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.

The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.

The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.

Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answer:

-14/3 or -4.67

Step-by-step explanation:

division.

Answer: 37.80

Step-by-step explanation:

The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

Given that,

Consider parallelogram ABCD with vertices A(-6,6), B(0,10), C(2,4) and D(-4,0).

We have to find the parallelogram is square, rectangle, rhombus and none of the above.

We know that,

In the attached figure, which shows the number of grid squares for each side, we can see that one side is the diagonal of a 23 rectangle and the other side is the diagonal of a 13 rectangle. This reveals two things to you: The sides are not at perfect angles to one another and are of varied lengths. The slopes of the segments would be opposing reciprocals (if the sides were perpendicular).

Therefore, The figure is neither a rhombus nor a rectangle since the sides are of varied lengths and are not at right angles. "None of the other" applies.

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Step-by-step explanation:

2X-Y=4 ---------(1)

x=4-y---------(2)

since x = 4 – y just substitute for eqn 1

2(4–y) – y = 4

8 – 2y –y=4

8 –3y = 4

–3y=4–8

–3y=–4

y=–4/–3

y= 4/3

since y = 4/3 just substitute for y in eqn (2)

x=4–4/3

multiply both sides by 3

3x=12–4

3x=8

x=8/3 or 2 2/3

The nth term of the given quadratic sequence is 2n².

What is quadratic sequence?

The ordered sets of numbers known as quadratic sequences are based on the rule n^2 = 1, 4, 9, 16, 25,.... (the square numbers). Every quadratic sequence has a n^2 term.

Consider, the given quadratic sequence

2, 8, 18, 32, 50, ...

we have to find nth term of this quadratic sequence ; 2 , 8 , 18 , 32, 50, ...

To find the nth term, we have to find the relation between the given terms.

here we see,

1st term = 2 = 2 × 1 × 1 = 2 × 1²

2nd term = 8 = 2 × 2 × 2 = 2 × 2²

3rd term = 18 = 2 × 3 × 3 = 2 × 3²

4th term = 32 = 2 × 4 × 4 = 2 × 4²

similarly 5th term = 2 × 5² = 2 × 25 = 100

...........

so nth term = 2 × n² = 2n²

Hence, the nth term of the given quadratic sequence is 2n².

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Answer:

8 weeks

Step-by-step explanation:

The two equations I got from this are y=16x+42 and y=-70+30x

I graphed both equations online to see what the intersection would be the intersection between both equations is (8,170). I think that this means that in 8 weeks they would both be at 170 dollars, so I think that it will take them 8 weeks to have the same amount of money saved

(if wrong, im sorry..)

The number of weeks it will take them to have saved the same amount of money will be 8.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Sharon began with $42 in her financial balance and added $16 each week. Neil began $70 underwater and kept $30 each week.

Let 'x' be the number of weeks and 'y' be the total amount. Then the equations are given as,

y = 16x + 42              ...1

y = 30x - 70             ...2

From equations 1 and 2, then we have

30x - 70 = 16x + 42

14x = 112

x = 8

The number of weeks it will take them to have saved a similar measure of cash will be 8.

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Answer: 1. y = 6

2. x = -2

3. X = -10.29

4. n = -5.165

Step-by-step explanation:

1. -2y + 7 = -5

-2y + 7 - 7 = -5 - 7

-2y = -12

y = 6

2.-3(x + 5) = -9

3(x+5) = 9

x+5 = 3

x = 3 - 5

x = -2

3. X+2.5= -7.79

X= -7.79 - 2.50

X = -10.29

4. 3.33 + 2n = -7

3.33 - 3.33 + 2n = -7 - 3.33

2n = -10.33

n = -5.165

Answer:

66,726

Step-by-step explanation:

Answer:

666,722

Step-by-step explanation:

1 + 59 + 666,662

= 60 + 666,662

= 666,722

i hope this helped

Answer:

c is your answer

Step-by-step explanation:

x = 1 +_ √61/6

Answer:

AGDB

Step-by-step explanation:

Pair 1: Alternate interior

Pair 2: Alternate exterior

Pair 3: Same-side interior

Pair 4: Same-side exterior

The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.

The margin of error exists 0.07728.

A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.

A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.

Given : n = 36

x-bar = 0.82407

s = 0.00567

Confidence level 95%

The 2 - critical Valve = 2.03

A) Let the equation be

[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}[/tex]

substitute the values in the above equation, we get

[tex]$\Rightarrow \sqrt{\frac{(0.82412)(1-0.82412)}{100}}$$[/tex]

S E  = 0.03807

B) Margin of error = (0.03807)(2 × [tex]I_2[/tex])

Margin of error = 0.07728

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If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In the given triangle, the sides of a triangle are 10 cm, 8 cm, and 10 cm.

In the triangle, the two sides of the triangle are congruent.

If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

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