I need help with this question.

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be any number.

Then the first even number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

[tex](2n)+(2n+2)=30[/tex]

And we solve from there:

[tex]4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7[/tex]

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

Answer as a fraction = 1/68880 which is exact

Answer in decimal form = 0.0000145 which is approximate

=======================================================

Explanation:

Let's call these three cities A, B, and C

There is only one order ABC out of 42*41*40 = 68,880 different possible three city routes to pick from.

So the probability is 1/68880

If you want the answer in decimal form, then use your calculator to find

1/68880 = 0.0000145 approximately

Using the probability concept, it is found that there is a 0.000087 = 0.0087% probability that she selects the route of three specific​ capitals.

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

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

[tex]T = C_{42,3} = \frac{42!}{3!39!} = 11480[/tex]

The probability is:

[tex]p = \frac{1}{11480} = 0.000087[/tex]

0.000087 = 0.0087% probability that she selects the route of three specific​ capitals.

A similar problem is given at https://brainly.com/question/4037372

Answer:

6.21-6.89

Step-by-step explanation:

13.1 because when you add them up, you have to cary some over tothe ones, thus, making it 13.1

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

So the integral of 2 is 2x + c, where c is a constant. An "S" shaped symbol is used to mean the integral of, and dx is written at the end of the terms to be integrated, meaning "with respect to x". This is the same "dx" that appears in dy/dx . To integrate a term, increase its power by 1 and divide by this figure.

The area of the square hole having a side length of 6 inches is 36 inches².

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If side has a length a then diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

Given, Darius cuts out a square hole that is 6 inches long each side.

We know the area of a square is (side×side).

Therefore, The area of the square hole having a side length of 6 inches is = (6×6) = 36 inch²

learn more about squares here :

https://brainly.com/question/28776767

#SPJ2

Answer:

4/9x-10>x/3-12

4/9x-x/3>-12+10

4/9x-3/9x>-2

1/9x>-2

x>-18

Step-by-step explanation:

Answer:

Answer choice B was correct

Step-by-step explanation:

Line segment EB is congruent to line segment CB. I took the test.

Answer: C= (1,2)

Step-by-step explanation:

Answer: The correct answer is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Simplifying

The left and right sides are different so the answer is:

2. Simplifying

The left and right sides are identical so the answer is:

3. Solving inequality:

Answer:

1. A) Contradiction

2. C) Identity

3. z = ( - oo, 7)

Answer:

f(x) = -5x + 16

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

y + 5x = 16

Step 2: Put into slope-intercept form

Step 3: Rewrite in function notation

f(x) = -5x + 16

answer:

22 tables

explanation:

you have to divide on this one!

so,

13 divided by 289 is:

22

so,

the student council can decorate:

22 tables!

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

1.5 inches of steel

Step-by-step explanation:

450/300

=1.5 in.

Answer:

The triangles appear to be the same size and shape.

Step-by-step explanation:

edmentum

The triangles appear to be the same size and shape.

In line with internal angles, there are three sorts of triangles i.e., acute, right, and obtuse-angled triangle. according to the period of aspects, triangles can be categorized into 3 classes i.e., Scalene, Isosceles, and Equilateral triangle.

The six factors of a triangle are its 3 angles and the 3 facets. the line segment becoming a member of a vertex of a triangle to the mid factor of its opposite side is called a mean of the triangle. A triangle has three medians.

Learn more about triangles here: brainly.com/question/1675117

#SPJ2

Point Y is (6, -1)

Subtract 6 from the y coordinate in point y since it is translated down. keep the x coordinate since it is only being translated up and down, or by the y axis

Answer:

a. Randomization, blocking, placebo, comparative, double-blind

Step-by-step explanation:

1. Randomization is the process of assigning the subjects in an experiment to any of the treatment groups. This was applied in this experiment when the researcher randomly divided the men and the women into treatment and control groups.

2. Blocking is introduced in an experiment in order to remove nuisance factors. The researcher introduced blocking in this experiment when he divided the men and women on the basis of gender.

3. The Placebo is the inert powder that was given to a group. It has no effect on the participants who receive it.

4. Comparative research compares the result from two groups. This is seen in this research hen the researcher compares the scores between the groups.

5. A double-blind experiment is one where neither the subjects nor the test administrators know which groups receive a treatment. This factor is present in this test.  

Answer:

m<1 = 51 degrees

m<2 = 18 degrees

m<3 = 123 degrees

m<4 = 39 degrees

Step-by-step explanation:

To solve this problem, let's first try to find the measure of angle 1.

To do this, we must remember that the sum of the interior angles of a triangle must equal 180 degrees.  Using this knowledge, we can set up the following equation:

72 + 57 + m<1 = 180

Our first step in solving this equation is to simplify the left side by adding together the two constant terms.

129 + m<1 = 180

Next, we can subtract 129 from both sides of the equation.

m<1 = 51 degrees

Now, we can solve for angle 2.

We can see that angle 2 and the angle measuring 72 degrees together make a right angle, which is 90 degrees.  From this observation, we can set up the following equation:

m<2 + 72 = 90

To solve, we subtract 72 from both sides of the equation.

m<2 = 18 degrees

Now, we can solve for angle 3.

We can see from the diagram that angle 3 and the angle measuring 57 degrees are supplementary.  This means that their sum should equal 180 degrees, and the two angles together make a straight line.  This lets us set up the following equation:

m<3 + 57 = 180

To solve, we subtract 57 from both sides of the equation.

m<3 = 123 degrees

Finally, we can solve for angle 4.

We can solve for angle 4 using the same strategy we used to solve for angle 1.  Our equation for angle 4 is as follows:

m<2 + m<3 + m<4 = 180

18 + 123 + m<4 = 180

Let's first simplify the left side of the equation.

141 + m<4 = 180

We can subtract 141 from both sides of the equation as our next step.

m<4 = 39 degrees

Therefore, the correct answers are m<1 = 51 degrees, m<2 = 18 degrees, m<3 = 123 degrees, and m<4 = 39 degrees.

Hope this helps!

Answer:

[tex]x = 14[/tex]

Step-by-step explanation:

Given

[tex]COP = 11x- 17[/tex]

[tex]TOD = 9x + 11[/tex]

Required

Determine x

Since COP and TOD are vertical angles, we have:

[tex]COP = TOD[/tex]

[tex]11x - 17 = 9x + 11[/tex]

Collect Like Terms

[tex]11x-9x = 11+17[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

Answer: w = 6

Step-by-step explanation:

The formula will be w = [tex]\frac{p}{2}[/tex] - l

So it would be w = [tex]\frac{60}{2}[/tex] - 24

Simplify

w= 30-24

Simplify

w = 6

~I hope I helped you! :)~

Answer: l used to know that

Step-by-step explanation:

Given parameters:

Speed of Cyclist 1  = 7mph

Speed of Cyclist 2 = 11mph

Time of travel  = 30min  = 0.5hr(60min  = 1hr)

Unknown:

Distance separating them  = ?

To solve this problem, we must understand that speed is the distance per unit time traveled.

Mathematically;

           Speed  = [tex]\frac{Distance}{Time}[/tex]

Now we are to find the distance separating the two cyclists;

           Distance  = speed x time

To find the distance separating the two cyclists, find the sum of their individual distances covered.

 Distance separating them = Distance covered by cyclist 1   + Distance covered by cyclist 2

Now input the parameters;

Distance of separation =  (7 x 0.5)   +  (11 x 0.5)   = 3.5 + 5.5 = 9miles

The distance separating them is 9miles

Answer:

2

Step-by-step explanation:

Because if she added those pennies it would be 100 pennies total. And since 100 divided by 50 is 2 the correct answer is 2

Answer:

she used 2 rolls of pennies

Step-by-step explanation:

in order to do this question, you have to add 95 with 5 to get 100 pennies, then you divide 100 with 50 in order to get 2, this means that the mother used 2 rolls of pennies.

Answer:

Question 2- 9

Question 3- 75%

Step-by-step explanation:

Answer:

x = 13.5°

Step-by-step explanation:

Angles 2 + 3 = a straight line, so 180°

180 - 66 = 114 = angle 2

114 = 10x - 21

114 + 21 = 10x

135 = 10x

135 / 10 = x

13.5 = x

Answer:

365000

Step-by-step explanation:

/

Answer:

If MP is bisector then

LMP= NMP = LMN/2= 112/2= 56