Find three consecutive EVEN integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Answers

Answer 1

Answer:

             10, 12 and 14

Step-by-step explanation:

x  - an integer

2x    - an even integer (the first and the smaller of the three)

Consecutive integers increase always by 2

2x+2    - next even integer consecutive to 2x (the middle one)

2x+2+2=2x+4    - the last consecutive even integer (the largest)

2•(2x+2)     -  twice the middle number

2x+2•(2x+2)  - the sum of the smallest number and twice the middle one

2x+4+20     -  20 more than the largest number

2x+2•(2x+2) = 2x+4+20

2x + 4x + 4 = 2x + 24

         -2x         -2x

       4x + 4  = 24

         ÷2          ÷2

       2x + 2 = 12            ← the middle number

           -2        -2

        2x = 10                  ← the smallest number

2x+4 = 10 + 4 = 14

Check:  10+2•12=34;   14+20=34


Related Questions

Which ones better? How much more r u saving?

Answers

Answer:

2 L bottle for 1.69

the unit price for the two liters is cheaper than one for 12 pack

Use the distance formula to find the distance between points Y(-1,0) and P(2,6).

Answers

Answer:

6.7

Step-by-step explanation:

How to find the short sides of a right angle triangle if your only given the length of the hypotenuse which is 15. And the shorts sides are equal to each other.

Answers

The Pythagorean Theorem,
a
2
+
b
2
=
c
2
,
a
2
+
b
2
=
c
2
,
can be used to find the length of any side of a right triangle. right angle has a value of 90 degrees (
90

90

). A right triangle is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry.

The side opposite the right angle is called the hypotenuse (side
c
c
in the figure). The sides adjacent to the right angle are called legs (sides
a
a
and
b
b
). Side
a
a
may be identified as the side adjacent to angle
B
B
and opposed to (or opposite) angle
A
A
. Side
b
b
is the side adjacent to angle
A
A
and opposed to angle
B
B
.

The hypotenuse c, opposite the right angle, is the longest side. The legs are shorter and may be the same or different lengths, and are perpendicular to each other in a right triangle.

Thomas can paint 6 sections of a fence in 2 hours. Set up a proportional relationship that shows how long it will take Thomas to paint the entire 30 section fence. How many minutes will it take Thomas to paint the entire fence?

Answers

Answer:

3sections for every 1 hour

Step-by-step explanation:

6 sections in 2 hours

6/2 and 2/2

3 and 1

3*10= 30 and 1*10 is 10

30 sections in 10 hours

Why is 3^-2 not a negative number?

Answers

The rule you use is x^(-k) = 1/(x^k)

In this case x = 3 and k = 2, so,

3^(-2) = 1/(3^2) = 1/9

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

One way to think of it, is to consider the equation below

3^2*3^x = 1

We can solve for x like this

3^2*3^x = 1

3^(2+x) = 1

3^(2+x) = 3^0

2+x = 0 .... the bases are equal, so the exponents must be equal

x = -2

meaning that

3^2*3^x = 1

updates to

3^2*3^(-2) = 1

Now isolate the 3^(-2)

3^2*3^(-2) = 1

3^(-2) = 1/(3^2)

3^(-2) = 1/9

The sum of (3 - 51) + (-2+81) is

Answers

Answer:

31

Step-by-step explanation:

3-51 = -48

-2+81= 79

79+(-48)= 31

Answer:

31

Step-by-step explanation:

(3-51) + (-2+81)

-48 + 79

31

Question Progress
2/4 Marks
Homework Progress
17/23 Marks
The diagram shows the position of a ship (S) and a marine base (B).
The scale of the diagram is 1 cm represents 10km.
a) Work out the real distance between
the ship and the base.
N
*B
b) Measure the bearing of B from S.
S*
A fishing boat F is 20 km from S on a bearing of 095°.
c) Mark the position of the fishing boat F with a cross (V).

Answers

Answer:

a) 35km

b) 070 degrees

Step-by-step explanation:

To get full marks look at what I did for question (c)

You have to use a protractor on letter s and make sure the 0 on the protractor is facing the letter (N). Now check where 90 degrees is and draw a line straight by using the ruler then use the compass as u can see in the photo, where (x) point is on the end of the compass is your answer {make sure the compass is 2cm which means its 20km. Also make sure to align the compass on the line you drawn}

Thank you

Answer my math question!!

Answers

your answer is 0.4 or 0.40

Answer:

0.4

Step-by-step explanation:

I don’t understand this and I need help figuring it out, please.

Answers

Answer:

it would be C

Step-by-step explanation:

hope it helps

Answer:

C

Step-by-step explanation:

You can see that 14 turned into 28, which means multiplication.

Please answer 11 !! xx ill mark first answer

Answers

Answer:

the first one bc look at the m's and the d's the others look the same

Step-by-step explanation:

the variables x and y are related proportionally. when x = 8,y= 18. find y when x =16

Answers

Answer:

When x=16 y=36 (16,36)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

x= 8    16

y= 18   #

8/16=18/#

#= 16*18/8(property of proportions)= 36 :)

Micheal got 28 out of 33 points on his math test. What percent of the questions did he get correct? Round your answer to the nearest whole number

Answers

Answer:

85%

Step-by-step explanation:

Answer:

about 84

Step-by-step explanation:

28/33=84/99

Zoe needs to rent a car. Kara's Kar Kompany charges $22 per day and a $100 cleaning fee. Callie's Car Company charges $26 per day and has a $40 cleaning fee. After how many days would the rental cost be the same for both car rental companies?

A) 18 Days
B) 13 Days
C) 15 Days
D) 8 Days

Answers

Answer:

C) Fifteen days

Answer:

C) 15 days

Step-by-step explanation:

To answer this question, we must make an equation, so lets use the variable 'd' equal the number of days a car is being used for:

22d + 100 = 26d + 40

Now, we combine like terms:

22d + 100 = 26d + 40

-22d           -22d

100 = 4d + 40

-40            -40

60 = 4d

/4     /4

d = 15

So, the rental cost will be the same for both car companies after 15 days

Hope this helps :)

2.4 /6 = 2.8/s

Pls help I'm really struggling for the answer pls and ty

Answers

Answer:

s=7

Step-by-step explanation:

I did 2.4/6 and got 0.4 then I did 2.8/0.4 and got 7 and if you plug in 7 where s is you'll get 2.8/7=0.4

You are buying cupcakes for a school party. They are in a package of 6 for $8.50. You have budgeted no more than $40 to spend. If cost of the cupcakes is a function of the number of packages purchased, what is the largest element of the domain in this situation?

Answers

Answer: Largest element in the domain is 4

The largest number of packages you can buy is 4

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

Explanation:

1 package costs 8.50*1 = 8.50 dollars

2 packages cost 8.50*2 = 17 dollars

3 packages cost 8.50*3 = 25.50 dollars

and so on. In general

x packages cost 8.50*x = 8.50x dollars

where x is a place holder for a positive whole number (1,2,3,...)

The total amount spent is 8.50x and the budget is $40

This means,

[tex]8.50x \le 40\\\\x \le \frac{40}{8.50}\\\\x \le 4.70588\\\\x \le 4\\\\[/tex]

We round down regardless of how close we are to 5.

If x = 4, then 8.50*x = 8.50*4 = 34

While if x = 5, then 8.50*x = 8.50*5 = 42.5

So we see we go over budget if we buy x = 5 packages.

This makes x = 4 the largest in the domain.

Recall the domain is the set of allowed x inputs. In this case, x is a positive whole number (since we can't buy half a package for instance).

Which of the following equations produces a linear function?
A y=x?
B = 2x + 3
C y = |x|
D y=2x2 + 3x - 2

Answers

Answer:

a, b, and c

Step-by-step explanation:

all of them are in the form y=mx+b except for c, which does not have a constant slope throughout the entire line, it will be decreasing or negative until 0, and then increasing or positive after 0, so the slopes would not be the same.

HELP QUICK PLEASE
What is the slope of the line that passes through the points (-10, 9)(−10,9) and (-12, 7) ?(−12,7)?
Write your answer in simplest form.

Answers

Answer:

1

Step-by-step explanation:

(7-9)/(12-10)= 1

Please help if you can. It’s a math problem, and please explain

Answers

Answer: The answer is B: 6

Step-by-step explanation:

3 times the square root of 36 is 18.

18 divided by the square root of 9 is equal to 6.

Answer:

6

Step-by-step explanation:

_

3/36 = 18 then dividedby 9 =6

You have $25 , then you babysat this week and earned $13.50. Then you spend $2.68 on a bag of chips . how much do you have left?

Answers

So first you would have to add $25+$13.50=38.5 then subtract 38.5-2.68=35.82

What is 56,291.8 rounded to the nearest thousand

Answers

Answer:

56,000

Step-by-step explanation:

Answer:

56000

Step-by-step explanation:

6,2 is closest to 6

5x+2-2(x-1)=3x+4 (i beggggg helppp mmeeee)

Answers

Answer:

Step-by-step explanation:

5x+2-2x+2=3x+4

5x-2x+2+2=3x+4

3x+4=3x+4

equation is satisfied so every value of x will produce the same results on both sides of the equation

SOMEONE HELP ME PLEASE ITS DUE IN 5 MINUTES

each day the school canteen meal can be one of only three things
The probability that it is pizza is 0.3
The probability that it is curry is 0.42
what is the probability of pasta?

Answers

Answer:

0.28

Step-by-step explanation:

Pizza is 30%, curry is 42%, so pasta has to be 28%.

LCM of 56f³g² and 70fg³.

A. 7fg²
B. 7f³g³
C. 280f³g³
D. 280fg²

Answers

It’s most likely answer D

Victoria filled up her car with gas before embarking on a road trip across the country. The car uses 1.75 gallons of gas for every hour driven, and after driving for 4 hours, there were 7 gallons of gas left in the tank. Write an equation for G,G, in terms of t,t, representing the number of gallons of gas remaining in Victoria's gas tank after tt hours of driving.

Answers

Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

Let cos(2x) - cos(x) = 0 where 0° < x <180° what are the possible values of x

Answers

Answer:

x= 120°

Step-by-step explanation:

cos(2x)-cos(x)=0

[tex]\Rightarrow 2\cos^2x-\cosx-1=[/tex]0 [as [tex]\cos(2x)=2\cos^2x-1[/tex]]

[tex]\Rightarrow 2\cos^2x-2\cosx +\cosx-1=0[/tex]

[tex]\Rightarrow 2\cos x(\cos x-1) +(\cos x-1)=0[/tex]

[tex]\Rightarrow (\cos x-1)(2\cos x +1)=0[/tex]

[tex]\Rightarrow \cos x-1=0 \;or\; 2\cos x +1=0[/tex]

[tex]\Rightarrow \cos x=1 \;or\; \cos x =-1/2[/tex]

[tex]\Rightarrow x=\cos^{-1}1 \;or\; x =\cos(-1/2)[/tex]

For [tex]x=\cos^{-1}1[/tex] and 0° < x <180°

There is no possible value of x.

For [tex]x =\cos(-1/2)[/tex] and 0° < x <180°

The possible value of x is

x= 120°

Answer:

C/ 0 or 120

Step-by-step explanation:

edge 2020

The members of a small town's local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?

Answers

Answer:

Profit shall be distributed as :

First seller = $92

Second seller = $72

Third seller = $36

Step-by-step explanation:

Let the first seller be A

Second seller be B

Third seller be C

Let the profit of third price seller C = "x"

Profit of B = 2x

Profit of A = 2x + $20

Total profit received by all of them = $200

$200 = (2x + $20) + (2x) + (x)

$200 = 5x + $20

$180 = 5x

x = $36

Therefore profit for 3rd seller = $36

Profit for second seller = $36 [tex]\times[/tex] 2 = $72

Profit for first seller = $72 + $20 = $92

Please help thanks guys appreciate it:)

Answers

Answer:

37

Step-by-step explanation:

It’s 37 degrees. If you look at one straight line, both sides have to equal 180. So take 180-37 and that’s the answer to CBD. Then you take THAT and subtract it from 180, which is 37. That’s the complicated way of explaining it. Since it’s right across it’s 37.

Given j || k and m<8 = 150•
What is m<3?
Enter your answer in the box.
M<3=

Answers

Answer:

m<8=150

m<3=150÷3=50

Solve for w.



​ 6+(w−10)=5

Answers

The answer is “W=9”.

Answer:

w=9

Step-by-step explanation:

first you wanna add 6 and -10 which gives you -4, after that you bring -4 over to 5 and change it to positive and it becomes 9, which gives you w=9

Find the x and y intercepts of the equation.
3x +y = −6

Answers

Answer:

x-intercepts: (2,0)

Y intercepts: (0,6)

Step-by-step explanation:

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