The sum of three consecutive even numbers is 36. What is the smallest numbers ?

Answers

Answer 1

Answer:

The numbers are 11,12,13

The smallest number is 11

Step-by-step explanation:

Let the first number be x

The next number is x+1

The third number is x+2

x+x+1+x+2 = 36

Combine like terms

3x+3 = 36

Subtract 3 from each side

3x+3-3 = 36-3

3x=33

Divide each side by 3

3x/3 = 33/3

x=11

The numbers are 11,12,13

The smallest number is 11


Related Questions

100 points please help will give brainliest

Answers

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)

Answers

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?

Answers

We can multiply 201*12 to figure out how many books the library has. This gives us 2412. 2412 - 809 is 1603.

The library has 1,603 books remaining.

Answer:

Mr. Pham should expect about 45165 books to have no damage or minor damage.

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer: 4/33 feet

Explanation: 20/33 - 16/33 = 4/33

Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]

Answers

Immediately, by definition of cotangent, we find

tan(α) = 1/cot(α) = 1/(-√3)

⇒   tan(α) = -√3

Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.

Recall the Pythagorean identity,

cos²(α) + sin²(α) = 1

Multiplying both sides by 1/sin²(α) recovers another form of the identity,

cot²(α) + 1 = csc²(α)

Solving for csc(α) above yields

csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4

⇒   csc(α) = 2

⇒   sin(α) = 1/2

Solve for cos(α) using the first form of the Pythagorean identity:

cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)

⇒   cos(α) = -√3/2

⇒   sec(α) = -2/√3

Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27

Answers

Answer:

$1,094.93

Step-by-step explanation:

The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.

This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93

Enrique bought a football and a puzzle at a store.



He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.

​How much did Enrique pay for the puzzle, in dollars and cents?

Answers

Answer:

8 dollars and 67 cents...8.67

Step-by-step explanation:

5 dollar bill

3 one dollar bills

2 quarters

1 dime

1 nickel

2 pennies

From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The balloon’s vertical distance above the ground is 556 feet

The set up will form a right triangle.

Given the following parameters

Angle of depression = 29 degreesHorizontal distance = 1004 feet

To get the height above the ground, we will use the SOH CAH TOA identity as shown;

Opposite = h

Adjacent = 1004 feet

Tan theta = h/1004

Tan 29 = h/1004

h = 1004 tan 29

h = 1004(0.5543)

h = 556.52 feet

Hence the balloon’s vertical distance above the ground is 556 feet

Learn more on angle of depression here: https://brainly.com/question/23497407

What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4?

y-6 = 3/4 (x-2)

y–6=-3/4(x+2)

y+6= -3/4 (x+2)

y+6= -3/4 (x– 2)

Answers

Answer:

y+6=-3/4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-6)=-3/4(x-2)

y+6=-3/4(x-2)

Pls help I’ll brainlest ASAP

Answers

Answer:

slope = change over y/change over x

point 1: (-3,-4)

point 2: (2,3)

(-4-3)/(-3-2)=(-7)/(-5)=7/5

y=mx+b -> m=slope, b=y-intercept

y=(7/5)x+b

plug in one of the points

3=(7/5)*2+b

3=14/5+b

b=1/5

slope = 7/5, y-intercept = (0,1/5)

my bro has homework and he needs help but I don't have the time to help him

Answers

Answer: 25

Step-by-step explanation:

Subtract 46.50 - 46.25 and you’ll get 25

The solution is -1/2.

Which multiplication equation has the given solution?

Answers

Answer:

5x=-(5/2) ~~ first choice

Step-by-step explanation:

divide both sides by 5

-> x=(5/2)/5

simplify the above

-> x = - (5/2x5)

simplify

-> x = -(5/10)

simplify and solve

=> x = - 1/2

(basically trial and error)

Find the slope of the line.

Answers

Y=Mx+b. M refers to slope, which is rise over run. The rise (up and down movement) is -1 (because it goes down 1 to reach the next exact graph point). The run is 1 (because it moves 1 unit right to each the next exact point on the graph). The slope is -1/1, or just -1. B refers to the y intercept, which is the point where the graph hits the y axis. In this case. The y intercept is (0,3), or y=3. Your equation would then be y= -X+3

If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?

Answers

Answer is  8:30

Work Shown:

time = distance/speed

time = (1.5 miles)/(3 mph)

time = (1.5/3) hours

time = 0.5 hours

time = 30 minutes

It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.

Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.

Answers

Answer:

The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.

Step-by-step explanation:

help with this please

Answers

Answer:

8

Step-by-step explanation:

we conformed the 8s by 4 and 3

If ^ ABC ≈ ^ DEC, what is the value of x?

Answers

Answer:

D. x=1

Step-by-step explanation:

4x-1=x+2

you cancel out the 1 by adding it to both sides so then it will be 4x=x+3

then subtract x by both sides then it will be 3x=3

then simplify then it will be x=1

When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.

Answers

The middle 99.7% is within 60 seconds to 63 seconds.

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

mean (μ) = 60 seconds, standard deviation (σ) = 1 second

99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)

The middle 99.7% is within 60 seconds to 63 seconds.

Find out more at: https://brainly.com/question/4518679

Integrated project 4

Answers

Answer:

what about the integrated project please

what is the value of x?

Answers

Answer:

132

Step-by-step explanation:

corresponding angles are the same

What is the area of a triangle with a base of √10 and a height of √13

Answers

Area of triangle= 1/2 bh
= 1/2 (sqrt 10) (sqrt 13)
Answer=1/2 (sqrt 130)

Answer:

5.691

Step-by-step explanation:

v10=3.162   and v13=3.605  

so 3.162x3.605= 11.383

the 11.383 divided by 2 = 5.691

Which of the following is a correct interpretation of the expression 3+(-7)
Thanks

Answers

[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]

Step-by-step explanation:

The correct interpretation of 3+(-7) is 3-7, simply

Answer:

The answer will be

3+(-7)

The sum of positive and negative is negative

So 3+(-7) is 3-7

= -4

Step-by-step explanation:

Hope it helps

Please Mark as brainliest

Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?

Answers

Answer:

Calvin's number: 16 Sanjay's number: 6

Step-by-step explanation:

6 x 3 = 18, 18 - 2 = 16

16 / 2 = 8, 8 - 2 = 6

The domain of y = cosx is the set of real numbers. True False

Answers

Answer:

true

Step-by-step explanation:

Find the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x )​

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

the coefficient of   x in the polynomial  ( 4y - 13  - 5z - 4x ) is -4

Answer:

[tex]\huge\boxed{\sf -4}[/tex]

Step-by-step explanation:

The given polynomial is:

4y - 13 - 5z - 4x

Coefficient:

The term/number (along with the sign) with that certain variable is called coefficient.

x has the coefficient of :

-4 (number along with x)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

PLEASE HELP DUE NOW!!

Answers

Answer:

✓ C. f(x)= sqrt 1/x

Step-by-step explanation:

i hoep this answer your question

NEED HELP JUST SEND ME QUESTIONS

Answers

What 2x2??(•ิ_•ิ)?hmmmm

1/3(x+6)=2/3(x-9)

multi step equation

Answers

[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]

Ok done. Thank to me :>

0.03249 in standard form to 3 significant figures is

(A) 3.24 × 10−1

(B) 3.24 × 10−2

(C) 3.25 × 10−2

(D) 3.25 × 10−3

Answers

I think the answer is d

arithmetic sequence, can anyone help with this questions plz?

Answers

Answer:

Add 2/3

Step-by-step explanation:

2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3

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