The sum of two consecutive even integers is 186. What are the two numbers?

Answers

Answer 1

Answer: 92 and 94

Step-by-step explanation:

x = first number

x + 2 = second number

x + x + 2 = 186

simplify

2x + 2 = 186

subtract 2 from both sides

2x = 184

divide both sides by 2

x = 92

92 + 2 = 94

The numbers are 92 and 94.

Answer 2

Make sure you read through the problem carefully so that you recognize that we are dealing with consecutive even integers here.

Any 2 consecutive even integers can be represented as x + x + 2.

So we can represent our integers as follows.

X ⇒ first integer

X + 2 ⇒ second integer

Since their sum is 168, our equation reads x + x + 2 = 186.

Simplifying on the left side gives us 2x + 2 = 186.

Now subtract 2 from both sides to get 2x = 184.

Now divide both sides by 2 and we find that x = 92.

If x = 92, then x + 2 will be 92 + 2 or 94.

So our two consecutive integers are 92 and 94.


Related Questions

The probability of event A is 0.5 and probability of event B is 0.2. Given that A and B are independent, then the probability of A and B (A intersection B) is:
A) 2.5%
B)7 %
C)10%
D) 14%

Answers

C 10%
Hope that helps

Daryl wishes to save money to provide for his retirement. He is now 30 years old and will be
retiring at age 64. Beginning one month from now, he will begin depositing a fixed amount into
a retirement savings account that will earn 12% compounded monthly. Then one year after
making his final deposit, he will withdraw $100,000 annually for 25 years. In addition, and after
he passes away (assuming he lives 25 years after retirement) he wishes to leave in the fund a sum
worth $1,000,000 to his nephew who is under his charge. The fund will continue to earn 12%
compounded monthly. How much should the monthly deposits be for his retirement plan?

Answers

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

How many sundaes did the shop make if they used 32 spoonfuls of sprinkles?

Answers

Answer:

32?

Step-by-step explanation:

Answer:

Depends on how many spoonfuls of sprinkles per sundae. Is there more details to this question?

plzz help i hav a test after i need the answer quick plzz.

Answers

Answer:Oop

Step-by-step explanation:

Find the compound interest on GHS 50,200 invested at 13% p.a. compounded annually for 3 years ( to the nearest
GHS).
Select one:
A. GHS 19,578
B. GHS 69,778
O
C. GHS 72,433
D. GHS 22.233

Answers

Answer:

D

Step-by-step explanation:

First found amount yielded

A = P(1+r)^nt

P is amount deposited 50,200

r is interest rate 13% = 13/100 = 0.13

t = 3

A = 50,200(1+0.13)^3

A = 50,200(1,13)^3

A = 72,433.42939999998

A is approximately 72,433.43

interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS

There is one missing number in the “Which One Doesn’t Belong” game.
• Select a number that does not belong with any of the numbers. Explain your reasoning.
• Select a number that has a characteristic similar to the other two numbers. Explain your reasoning.

Answers

Answer:

I am not I understand the game but

1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit

2. 4 divides with 216 and 8 and single digit similar to 8

Step-by-step explanation:


A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical
probabilities. Use the drop-down menus to explain your answer.
There should be a
Choose...
number of trials. With Choose...
flips of the coin, the experimental probability will likely
approach the theoretical probability of Choose...

Answers

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

What is the range of the data below
23,33,25,16,27,43,29,40,35

Answers

Answer: 12

Step-by-step explanation: 35 - 23


How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?

Answers

Answer:

  5 units up

Step-by-step explanation:

Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.

f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.

Given f(x)=x2+12x+26. Enter the quadratic function in vertex form in the box. f(x)=

Answers

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

I don’t understand it

Answers

Answer:39.6x + 26.4

Step-by-step explanation:

length=3x+2

Width=13.2

area of rectangle=length x width

area of rectangle=(3x+2) x 13.2

area of rectangle=13.2(3x+2)

area of rectangle=39.6x + 26.4

Answer:

39.6x + 26.4

Step-by-step explanation:

13.2 (3x + 2)

Multiply each term in the parentheses by 13.2.

13.2 × 3x + 13.2 × 2

Multiply the numbers.

39.6x + 13.2 × 2

39.6x + 26.4

39.6x + 26.4

Find the first five terms of the geometric sequence defined by a (n)=10
(.1)^n

Answers

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Diameter EG is drawn on circle H and point F is located on the circle such that GF = 8.5inches. If the radius of the circle is equal to 10 inches, then what is the measure of GF to the nearest degree?

Answers

Answer:

[tex]\widehat{GF}=49[/tex] degrees

Step-by-step explanation:

In the figure attached, EG is the diameter of the circle and a point F is located on the circle.

Measure of [tex]\widehat{GF}[/tex] = 8.5 inches

Radius HF = 10 inches

Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]

θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]

  = 48.7°

  ≈ 49°

Since central angle = measure of the intercepted arc

Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.                                  

A boathouse costs $2750 a month to operate, and it spends $650 each

month for every boat that it docks. The boathouse charges a monthly fee of

$900 to dock a boat. If n is the number of boats, which equation represents

the profit function of the boathouse?

O A. p = 2750n + 250

O B. p= 900n + 2750

O c. p = 250n- 2750

O D. p = 650n + 2750

Answers

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

What is the profit function?

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

Learn more about the profit function here:

https://brainly.com/question/29106570

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What’s the correct answer for this? Select the ones that apply

Answers

Answer:

C & D

Step-by-step explanation:

In both these pairs, the x-coordinates are not changed while the y-coordinates are having a difference of 8 between them so they are really much corresponding

9-1=8

-3-(-11)=-3+11=8

what is k in 26-k/13=28

Answers

Answer:

k = -338

Step-by-step explanation:

The goal is to isolate k on one side, so let's start by multiplying 13 on both sides to get rid of the demoninator. After we do that, we'll be left with:

26 - k = 28(13)

26 - k = 364

Subtracting 26 from both sides gives us:

-k = 338

Multiplying both sides by -1 to make k positive gives us:

k = -338

Hope this helped! :)

-16 + 5x = -7(-6 + 8x) + 3 solvde for x

Answers

Answer:

X=1

Step-by-step explanation:

Mr. Cooper ask his students whether they prefer to go to the aquarium or the planetarium for a field trip. The table shows the result

table says:
response | percent
---------------------------------
aquarium | 50
---------------------------------
planetarium | 25

suppose the rest of the class had no preference what is the ratio of students who have no preference to the students who prefer to go to the aquarium

1:5 1:4 1:3 1:2

Answers

Answer:1/2

Step-by-step explanation:

It is 1/2 because 50 percent is the aquarium and the other 50 percent is unknown.

75 POINTS. PLZ HURRY

Answers

I believe 937,433,448 ways to count for the lakes

Answer:

https://brainly.com/question/16425127

Step-by-step explanation:

If there is a strong correlation between the variables a and b, a may cause b.
True or false?

Answers

Answer:

true

Step-by-step explanation:

.

Solve for x
8 (V2 - x) = 11

Answers

Answer:

V^2 - 11/8

Step-by-step explanation:

8(V^2 - x) =11

V^2 = 11/ 8 + X

X= V^2 - 11/8

Answer:

x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Step-by-step explanation:

Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11

Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]

Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

A theater can seat 160 people . If the theater is 60%full, how many more can fit in the theater

Answers

Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

What is the value of 5x+3 when x = 4?

Answers

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

Find the area of the shape shown. ​

Answers

Answer:

well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.

Step-by-step explanation:

Answer:  area is 10

Step-by-step explanation:

add top and bottom base

8+2=10

then divide by 2

10/2 = 5

then times 5 by 2

5*2=10

8+2/2 * 2 = 10

10 = area

Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?

Answers

Answer:

1.6%

Step-by-step explanation:

Solve for r

40,000=(2,500,000)(r/100)(1)

40,000=(25,000)r

r=40,000/25,000

r=1.6

What the the Quotient 7/12 divided by 2/5

Answers

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

Learn more about fraction click;

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Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.

A) 224 m2
B) 240 m2
C) 254 m2
D) 270 m2

Answers

Answer:

Correct answer is [tex]C)\ 254\ m^{2}[/tex]

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]

Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].

$32 for a 14 2/19 km taxi ride

Answers

Answer:

What about it? If you need to know how much that is per km, it would be about $2.27 per km

Step-by-step explanation:

if f(x)=-x^2 and g(x) = -x^2+4x+5 what is the product

Answers

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

If this answer is correct, please make me Brainliest!

DeAndre calculated the volume in three ways:
V= 12.5
V= 15.4
V=20.3
Let's focus on DeAndre's first equation.
Explain what the 12 and the 5 represent in the figure.


The 12 represents ...



The 5 represents...

Answers

Answer:

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Step-by-step explanation:

Given:

DeAndre calculated the volume of the cuboid in three ways:

V= 12.5

V= 15.4

V=20.3

To find: what the 12 and the 5 represent in the figure

Solution:

Volume of cuboid is equal to length × breadth × height

or Area of the base of cuboid × height

Length = 4 units

Breadth = 3 units

So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units

Height of cuboid = 5 units

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

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