the sum of three consecutive even integers is less than or equal to 42. find the largest set of these numbers

Answers

Answer 1

Answer:

13, 14, 15

Step-by-step explanation:

13 + 14 + 15 = 42

Better explanation:

n + (n+1) + (n+2) = 42

42 - 2 - 1 = 39

n + n + n = 39

3n = 39  divide by 3 to isolate n

n = 13

So it starts with 13 and goes up from there.


Related Questions

Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =

Answers

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slopeb = y-intercept

Therefore, the equation is y = -9x + 6.

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b where m = slope and b = y-intercept

Our slope is -9 and our y-intercept is 6

Therefore our equation is y = -9x + 6

Why is it helpful to use a problem-solving plan to solve problems?

Answers

Answer:

its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it

Find the missing variable if 13-4x=1-x

Answers

Answer:

X=4

Step-by-step explanation:

Move the variable to the left side

13-4x+x=1

Subtract 13 on both sides

13-4x+x=1

-13         -13

Collect the like terms

-3x= -12

Divide both side4s by -3

-3x/-3= -12/-3

Answer:

X=4

Find the perimeter. Simplify your answer.
4p-1
4p-1
4p-1
4p-1

Answers

4(4p-1)
Perimeter is 16p-4

Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***

I have a question: I have to write an assessment in maths and English and I wonder what kind of topics will come up? Like what should I learn and if anyone has a practice sheet or something.. (sixth from/College)

Answers

I personally think that the questions will be everything you’ve learned previously so I suggest u study as much as u can

(PLEASE ANSWER ASAP I JUST NEED TO CHECK MY ANSWER PLEASE EXPLAIN ALSO)

Answers

2.just subtract one from morning and half a hour is 30 minutes so it would be 2 hours left

Answer:

1 hour and half an hour

Step-by-step explanation:

cause 3 hours minus 1 hour minus half an hour equal to 1 hour and half, hope this help u

Last night, the two dinner specials at Regan's favorite restaurant were salmon filet and steak. The restaurant served 14 specials in all, 7 of which were the salmon filet. What percentage of the specials were salmon filets?
Helpppp pleaseee!

Answers

Answer:

50%

Step-by-step explanation:

Find what percent of the specials were salmon filets by dividing the number of salmon filets by the total number of specials:

7/14

= 0.5

So, 50% of the specials were salmon filets.

50% of the specials were salmon filets

3(s-5)/4 -3 = 4s- (s-3)/2
answer fast meenu sister ​

Answers

Answer:

18

Step-by-step explanation:

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

open the bracket

3s-15/4-3 =45-s-3/2

3s-15/1=42-s/2

cross multiply

2(3s-15)=42-s

3s-30=42-s

3s+s=42+30

4s=72

s=18

Answer:

s = -45/13

Step-by-step explanation:

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

(3s - 15)/4 - 3 = (8s - s + 3)/2

(3s - 15)/4 - 3 = (8s + 3)/2

3(s - 5)/4 - 3 = 3((8/3)s + 1)/2

3[(s - 5)/4 - 1 ] = 3((8/3)s + 1)/2

(s - 5)/4 - 1 = ((8/3)s + 1)/2

(s - 5)/4 - 4/4 = ((8/3)s + 1)/2

(s - 5 - 4)/4 = ((8/3)s + 1)/2

(s - 9)/4 =((8/3)s + 1)/2

(s - 9) = ((8/3)s + 1)(2)

s - 9 = (16/3)s + 2

s - (16/3)s = 6 + 9

(-13/3)s = 15

s = -45/13

(1+sin2A+cos2A)^2=4cos^2A(1+sin2A)

Answers

Answer:

(1+sin2A+cos2A) ^2=4cos^2A(1+sin2A)

Step-by-step explanation:

Here,

L.H.S=(1+sin2A+cos2A)^2

=(1+2sinAcosA+2cos^2A-1)^2

=(2sinAcosA+2cos^2A)^2

={2cosA(sinA+cosA)}^2

=4cos^2A(sinA+cosA)^2

=4cos^2A(sin^2A+2sinA.cosA+cos^2A)

=4cos^2A(sin^2A+cos^A+2sinAcosA)

=4cos^2A(1+sin2A)

=R.H.S

Hence,L.H.S=R.H.S.

(1+sin2A+cos2A)^2=4cos^2A(1+sin2A).

proved.

divie 8x^4-4X^3/2x^2

Answers

Answer:

(4x^2) - (2x)

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

HELPPPP- PLS The architecture student counted the number of bricks in each building in her neighborhood. Use the data to complete the histogram below. Bricks per building 2 6 12 20 25 25 28 30 31 32 37 37 43 45 Click to set the height of a missing bar. Bricks per building 5 4 1 Number of buildings 2. 0-9 10-19 20 - 29 30-39 40 - 49 Number of bricks​

Answers

Answer:

#1. it is 25

#2. It is 0-9

If there are 5380 feet in a mile Express 4000 get In kilometers

please show how you go it​

Answers

Answer:

ok first there is a problem here there are actually 5280 NOT 5380 feet in a mile. Is this a typo or are you to assume a different length of a mile?

I will stick with the real value of 5280...

5280 feet/ mile * 0.62137119 miles/ km = 3280 f/km

3280 f/km / 4000 feet = .82 km

Step-by-step explanation:

1st one to help me with my homework wins brainliest!! Help please!!!

Answers

first one is 1 7/8 i think lol

Which equation is equivalent to the equation ?

Answers

Answer:

wheres the file or question?

Find the value of the question mark.

Answers

Answer:

?= 60

Step-by-step explanation:

yep, that's the answer

the legs of a right triangle are 75 and 100. what is the length of the hypotenuse

Answers

Hey there! I'm happy to help!

To find the hypotenuse of a right triangle given two legs, you use the Pythagorean Theorem.

a²+b²=c², where a and b are the legs and c is the hypotenuse.

Let's plug our values into the equation and solve for c (our hypotenuse).

75²+100²=c²

Square the numbers

5625+10000=c²

Add them

c²=25625

Square root both sides

c=125

Have a wonderful day and keep on learning! :D

50 POINTS PLUS BRAINLIST
20-22
IN each figure P bisects the segment. Find the value of each variable
20.
PLEASE HELP!!

Answers

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

Answer and Step-by-step explanation:

19.

We see that AB bisects PQ, forming the two angles we are given. These two added together is equal to 180 (because they are supplementary angles, which add up to 180 degrees).

So, add them together, set it to 180, and solve for x.

6 + 2x + 4 = 180

Combine like terms.

10 + 2x = 180

Subtract 10 from both sides from the equation.

2x = 170

Divide by 2 on both sides of the equation.

x = 85 <- This is the answer.

For the following problems, since we know that point P is bisecting the segments, it means that it is splitting the segment in half, creating two equal parts. This means that all we have to do is set the two segments equal to each other.

20.

2x + 3 = x + 7

Subtract 3 and subtract x from both sides of the equation.

x = 4 <- This is the answer.

21.

4x + 3 = 8x - 11

Add 11 and subtract 4x to and from both sides of the equation.

14 = 4x

Divide by 4 from both sides of the equation.

x = [tex]\frac{14}{4} =\frac{7}{2} =(3.5)[/tex] < - This is the answer.

22.

7x - 3 = 5x + 2

Subtract 5x from both sides of the equation and add 3 to both sides of the equation.

2x = 5

Divide both sides by 2.

x = [tex]\frac{5}{2} = 2.5[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

3 more than the quotient of a number and 5 is 4​

Answers

Answer:

let n= the number

n÷5 +3=4

Step-by-step explanation:

Solve for y.

3(y − 8) + 2 = 8

y =

Answers

Answer:

y = 10

Step-by-step explanation:

3(y − 8) + 2 = 8

3y - 24 + 2 = 8

3y - 22 = 8

3y = 8 + 22

3y = 30

y = 10

5.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.

A. exponential; y = 89 • 0.62x
B. linear; y = 0.62x + 89
C. quadratic; y = 0.62x2 + 89
D. quadratic; y = 89x2 + 0.62

Answers

Answer:

A. exponential; y = 89 • 0.62x

Step-by-step explanation:

exponential; y = 89 • 0.62^x

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r =  = 0.618

r =  = 0.618

so it can be represented by an exponential model.

How hectometers equals 102 what

Answers

10200 and meters, I assume I answered the last one too

What’s the figure please

Answers

Answer:

b

Step-by-step explanation:

it doesn't go to the y or x axis so  B is it

3. If f(x) = 5x^2 find i) f(3)×f(2) and find x if f(x) = 2.​

Answers

Answer:

mark as brainliest and a like

5^2x = 3(2^x) find x

Answers

Answer:

Step-by-step explanation:

[tex]5 ^{2x} = 3(2^{x} )[/tex]

[tex]x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \mathrm{ }:\quad x=0.43496 \right)[/tex]

Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)

Answers

Step-by-step explanation:

[tex]f(x)=f(x-1)+f(x-3)[/tex]

Substitute x=4,

[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]

Harry and Rory are both given the same amount of money for their birthdays.
Harry spends 60% of his and has £8 left.
Rory spends 35% of his.
How much does Rory have left?

Answers

Answer:

21 Harry picks his National Lottery numbers by choosing the first six prime numbers.

Step-by-step explanation:

35 is 26% of what number?

Answers

Answer:

134.61 is the answer . hope This helps

Answer:

The answer is 134.61

Step-by-step explanation:

We have, 26% × x = 35

Or, 26/100 × x = 35

We have: x = 35 × 100/26

35×100 = 3,500

3,500 ÷ 26 = 134.61

x = 134.61

If you use a calculator, simply put 35×100÷26, which will give you the answer.

x= 3(y-b)/m solving for y

its 3(y-b) over m

Answers

Answer:

Given:

x = 3(y - b)/m

Solving for y in steps

Multiply both sides by m:

mx = 3y - 3b

Add 3b to both sides:

mx + 3b = 3y

Divide both sides by 3:

(1/3)mx + b = yy = (1/3)mx + b

Picture shown!

Write a function to describe the following scenario.
Raw cake batter starts at a thickness of
2 centimeters in a pan but grows at
0.15 centimeters every minute in the oven.
How tall will the cake be after
a certain number of minutes?

Answers

Answer:

y = 0.15x + 2

Step-by-step explanation:

Let's say x represents the number of minutes and y represents the thickness of the cake.

No matter what, the cake will start at a thickness of 2 centimeters. Whatever thickness is added on/subtracted starts at 2 centimeters, so y = 2 + or - something.

Next, the batter grows by 0.15 centimeters every minute. This means that every minute, 0.15 centimeters are added to the thickness of the cake. This can be represented by

0.15 * x

Adding these two together, we get

y = 2 + 0.15 * x

y = 0.15 * x + 2

A class adviser surveyed 35 of his students on what kind of pets they have at home he found out that 15 have dogs 12 have cats and 8 have birds 5 have dogs and cats 4 have dogs and birds and 2 have cats and bids.how many have dogs ONLY

Answers

Step-by-step explanation:

With Dogs only: 15 - (5+4) = 6

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 +5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

Answer:

The answer is only 6 have dogs

Step-by-step explanation:

B + C + D - B∩C - B∩D - C∩D + B∩C∩D + x = 35

8 + 12 + 15 - 2 - 4 - 5 + 0 + x = 35

With Dogs only: 15 - (5+4) = 6

Just in case, we can calculate the others too:

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 + 5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

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