I need to know what is rational and what isn't ​

Answer:

We have two consecutive even integers:

a and b.

We know that we can write a even integer as:

a = 2*n

where n is an integer.

Then the consecutive integer to a, b, will be:

b = 2*n + 2.

Then the sum of a and b is:

a + b = 2n + 2n + 2 = 4*n + 2 = 2*(2n + 1) = k.

The next two consecutive integers greater than b will be:

c = 2n + 4

d = 2n + 6

then:

c + d = (2n + 4) + (2n + 6) = 4n + 10 = k + 4.

Answer:

On the inside of the "box" (long division).

Step-by-step explanation:

Whenever you are dividing, the first quotient goes inside the "box", and the second quotient goes on the outside.

(I am not sure what the symbol is called, that is why I called it a box.)

Hope this helps!

Answer:

54

Step-by-step explanation:

8*3+5*8-2*5

24+40-10

64-10

54

Answer:

Here's how to solve this.

Step-by-step explanation:

a=5 b=5 c=8

so

3*8 + 5*8 - 2*5

Well 3*8=24

5*8= 40

2*5=10

Therefore 24 + 40 - 10.

24 + 40= 64

64 - 10= 54

would be your answer.

I hope this helps.

Answer:

0.25

Step-by-step explanation:

scale factor=md/od

=0.5/2

0.25

Answer:

1.  Let x = #

2.  "Five less than six times a number" can be written as:  6x - 5

3.  "is at least" is the same as "greater than or equal to" and can be written as:  >=

4.  "nine subtracted from two times that number"  can be written as:  2x - 9

5.  the equation is: 6x - 5 >= 2x - 9

6.  solve for x by grouping the x variable terms on one side and the constants on the other side:

             6x - 5 >= 2x - 9

            -2x +5     -2X +5

             4x      >=      -4    

7.  divide each side by 4, and you get: x = -1

Step-by-step explanation:

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is n = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]

Construct a 95% confidence interval estimate for the population mean force as follows:

[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]

    [tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

Answer:

47

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

x - 2/5= 7

Add 2/5 to each side

x - 2/5 + 2/5 = 7+2/5

x = 7 2/5

or if

( x-2) /5 = 7

Multiply each side by 5

(x-2) /5 *5 = 7*5

x-2 = 35

Add 2 to each side

x-2+2 = 35+2

x = 37

Answer:

or

Step-by-step explanation:

x - 2/5= 7

find out what x is

x - 2/5 = 7

x - 2 = 7 (5)

x - 2 = 35

x = 35 + 2

x = 37

--------

or

x - 2/5 = 7

x = 7 + 2/5

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all able input values shown on the x-axis. The range is the set of possible output values, which are shown on y-axis

Answer:

50%

Step-by-step explanation:

35/70 = 50%

Answer:

debe ser 30 porque la distancia entre 70 y 35 es 40.

Step-by-step explanation:

70 - 35 = 35

Answer:

B

Step-by-step explanation:

Basically, both have a helmet rate of $5/hr. So,

300 +5x and 25x+5x = 30x

The questions specifically wants the purchasing to be lower.

Answer:

Its D

Step-by-step explanation:

x represents the number of hats.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, Company A sells hats for $11 per hat plus a fixed $7 shipping and handling fee. Company B sells hats for $8 per hat plus a fixed $16 shipping and handling fee.

Let x be the number of hats and y be the total cost for x hats

For Company A:

per hat charges = 11

charge for x hats = 11 * x

Since, shipping charges = 7

Thus,

Total cost for x hats, y = 11x + 7

For Company B:

per hat charges = 8

charge for x hats = 8 * x

Since shipping charges = 16

Thus,

Total cost for x hats, y = 8x + 16

If the Cost is the same,

11x + 7 = 8x + 16

3x = 9

x = 3

therefore, If we order 3 hats then the cost from both companies will be the same. and x represents the number of hats.

Learn more about the System of equations here:

https://brainly.com/question/12628931

#SPJ6

Answer:

49

Step-by-step explanation:

Given expression:

       5²  + 3 x 8

The order of operation is:

P       Parentheses

E       Exponents

MD   Multiplication and Division

AS    Addition and subtraction

  In this problem, first solve the exponent; 5²  = 25

       25 + 3 x 8

   Now to the multiplication;

       25 + 24 = 49

The solution is 49

Answer:

5+6=11

Step-by-step explanation:

:D

Answer:

t=5c+6d

Step-by-step explanation:

5c=cheese pizza cost

6d=topped pizza cost

Answer:

the slope of that line is 3/4

Answer:

-5

Step-by-step explanation:

Answer:

5* 10^(-5)m is the scientific notation of 0.00005m.

Answer:

13.15 is ur answer hope this helped!

each ticket costs $13.15

Answer:

80 miles per hour

Step-by-step explanation:

320 miles /4 hours = 80 miles per hour

Answer:

11 C is the difference

Step-by-step explanation:

Answer:

14.62 I believe

Step-by-step explanation:

Answer:

No it is more

Step-by-step explanation:

Answer:

B) x = 6

Step-by-step explanation:

If you try substituting all the numbers (from these options) for x, you'll find that 6 is the only x value that can let the expression be further simplified.

[tex] \sqrt{39 \times 6} [/tex]

[tex] \sqrt{234} [/tex]

[tex] \sqrt{9 \times 26} [/tex]

[tex] \sqrt{9} \times \sqrt{26} [/tex]

[tex]3 \sqrt{26} [/tex]

Answer:

Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....

Answer:

$169

Step-by-step explanation:

Multiply 16.25 x 2 so you can find how many hours he worked

32.50 hours, so now you multiply that by 13 so you know how much money he earned

$422.50, so now you multiply 2/5 x 422.50

Your answer will be 169 dollars

Answer:

169

Step-by-step explanation:

Answer:

Addition Property of Equality If AB = CD then AB + BC = BC +CD

Subtraction Property of Equality If AB + BC = BC + CD then AB = CD

Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180

Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90

Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180

Distributive Property AB + AB = 2AB

Reflexive Property m∢B = m∢B

Symmetric Property If AB + BC = AC then AC = AB + BC

Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

Segment Addition Postulate If C is between B and D, then BC + CD = BD

Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC

Linear Pair Postulate If two angles form a linear pair, then they are supplementary

Definition of Right Angle If ∢B is a right angle then m∢B = 90

Definition of Midpoint If P is the midpoint of segment AB then AP =PB

Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB

Definition of Perpendicular Lines If two lines are ⊥ they form right angles

Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD

Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B

Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD

Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90

Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180

Step-by-step explanation:

Answer:

p=228/5

Step-by-step explanation:

2/3p-7=1/4p+12

12(2/3p-7)=12(1/4p+12)

8p-84=3p+144

5p-84=144

5p=228

p=228/5

Check:

2/3(228/5)-7=1/4(228/5)+12

30.4-7=11.4+12

23.4=23.4