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in a flowchart proof, _____ and ______ are connected with arrows ?



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Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

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Answer:

The y- intercept could only be: B) (0, -3).

Step-by-step explanation:

The Y intercept is found when X=0, so the first value in the ordered pair must be 0. Because the line crosses the y axis BELOW the x axis, the value must be negative. Therefore, out of all the provided options, the answer could only be (0,-3).

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

Answer: 28r+3

Step-by-step explanation:

3(1+7r)+7r

distributive property

3+21r+7r

combine like terms

28r+3

Answer:

4r/7 is the answer 4r over 7

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

Answer:

5+9+13+17+21+25+29+33= 152

Answer:

5+9+13+17+21+25+29+33=148

Answer:

a < -4

I apologise if it is wrong.

Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

Answer:

b

Step-by-step explanation:

Answer:

1/2 probably

Step-by-step explanation:

Answer:

-45

Step-by-step explanation:

Answer:

The best angle measurement that best fits Aliaa's circle partition is three angles of 120° each.

Step-by-step explanation:

The sum of angles at the center of the circle = The sum of angles at a point = 360°

Therefore, to partition the circle into three congruent angles, the measurement of each of the partition should be 360°/3 = 120°

The steps to partition a circle into three are;

1) Draw the diameter of the circle, to intersect the circumference of the circle at points A and B

2) Mark a point, C, at a distance of half the radius from the center of the circle,  O, to the point, B, on the circumference, using a straight edge

3) Draw a perpendicular line to the diameter of the circle, through the point, C, to intersect the circle circumference at points D and E)

4) Draw radial lines from the circle center, O, to the points D and E

5) The segments OA, OB, and OE, are segment lines partitioning the segment into three congruent angles.

Answer: x= 3.8

Step-by-step explanation:

21.1 - 8.3 = 3.8

x= 3.8

Answer:

X = 3.8

Explanation: 12.1 minus 8.3 equals the missing value

Answer:

23 1/25 desserts per month

Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27

Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

Answer:yes it’s q

Step-by-step explanation:

Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

Also, in the world of variables, and the alphabet, x is before y.

So x represents the first number in an ordered pair.

hope it helps!

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.

Answer:

9. 1.24 mL

10. $5.93

Step-by-step explanation:

Question 9:

If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:

Dosage of medicine per pound of body weight x Total body weight = Total medicine required

                                                               OR

0.01 * w = m,

where w is total body weight and m is total medicine required.

To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):

0.01 * 124 = m

1.24 = m

Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.

Question 10:

To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):

0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])

                                 OR

0.15*39.51 = Total tax

5.9265 = Total tax

5.93 = Total tax <-------- (rounded)

Answer:

The answer is x= 19980

Step-by-step explanation:

You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540

[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

Answer:

Step-by-step explanation:

If you looking for square and square root:

Square: 529

Square root: 4.796 and the longer one,4.79583152331

Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Hope this helps!

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge