The ages of three brothers are consecutive, even integers. If the sum of the first even integer, three times the second even integer and twice the third even integer is fifty. Find the ages of all three brothers

Answers

Answer 1

Answer:

The ages of all three brothers are 4,6,8 years.

Step-by-step explanation:

Here n is the smallest of the three consecutive even integers, the condition gives you this equation

2n + 3*(n+2) + (n+4) = 34.

2n + 3n + 6 + n + 4 = 34

6n = 24

n = 4.

Answer. The ages are 4, 6 and 8 years.

Hope this helps you.

Answer 2

The ages of the three brothers are 6, 8, and 10 years, respectively.

How to determine ages of the three brothers

Let the ages of the three brothers be \(x\), \(x+2\), and \(x+4\).

The sum of the first even integer, three times the second even integer, and twice the third even integer is fifty:

\[x + 3(x+2) + 2(x+4) = 50\]

Simplify the equation:

\[x + 3x + 6 + 2x + 8 = 50\]

Combine like terms:

\[6x + 14 = 50\]

Subtract 14 from both sides:

\[6x = 36\]

Divide by 6:

\[x = 6\]

So, the ages of the three brothers are 6, 8, and 10 years, respectively.

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Related Questions

Four boys compare the numbers on their football jerseys. Parker has the number 55. Nick has 49. Marshall has 57, and Leon has 59. Whose jersey has a prime number?

Answers

Leon- 59 is a prime number the rest are not

Answer:

Leon's jersey has a prime number

Step-by-step explanation:

IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?​

Answers

Answer:

im not completely sure but i think its either CQQMNFV or  DRRNMGW

Step-by-step explanation:

List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4,
1 1/2,-1.5,3

Answers

Answer:

-8, -1.5, 1/2, 1/4, 1/2, 1, 2.5, 3

Step-by-step explanation:

Answer:

-8, -1.5 , -1/2 , 1/4 , 2.5, 3 , 11/2 (if is not 11/2 but 1  and 1/2) the answer is : -8, -1.5 , -1/2 , 1/4 , 1/2, 1 , 2.5, 3

Step-by-step explanation:

First of all we have to express the decimal numbers with a fraction

2.5 = 25/10 = 5/2

-1.5 = -15/10 = -3/2

now we have to express al numbers with a fraction with the same denominator. In this case the value that help us the most is 4

-1/2 = -2/4

5/2 = 10/4

-8 = -32/4

1/4 = 1/4

11/2 = 22/4

-3/2 = -6/4

3 = 12/4

now we have to check only the numerators for discover the order of the numbers. So from the least to the greatest we have:

-32/4 ; -6/4 ; -2/4 ; 1/4 ; 10/4 ; 12/4 ; 22/4

the final step is rewrite the original numbers in this order

-8, -1.5 , -1/2 , 1/4 , 2.5, 3 , 11/2

Find the surface area of the prism.

Answers

Answer:

326m²

Step-by-step explanation:

Find the area of each side and find the total sum from each individual area:

2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326

So the surface area of the prism is 326m²

What is the volume of a sphere with a diameter of 15 cm?

Answers

Answer:

V≈1767.15cm³

Step-by-step explanation:

Using the formulas

V=43πr3

d=2r

solving for v

V=16πd3=16·π·153≈1767.14587cm³

hope i helped plz mark me brainlest

determine the point-slope form of the line with slope -7 that intersects the point (5,23)

Answers

Answer:

y=-7x+58

Step-by-step explanation:

1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due in 4 mins

Answers

Answer:

1. Equal. 2. 1500

Step-by-step explanation:

6 x 16 = 96 + 11= 117

3/4 x 2000 = 1500

Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?

Answers

Answer:

A) 141.8   B) 316.8

Step-by-step explanation:

I did 35.450k/100x4 to get 141.8. Then I did 175+141.8

ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST

Answers

Answer:

ofc strawberry costs more than apples

Answer:

the answer should be a

have a good day

Five friends shared 1 1/2 pounds of fudge equally. How much did each friend get?

Answers

Answer:

each friend gets 0.1 fudge

Step-by-step explanation:

Stephanie spent 20​% of x hours at her​ part-time job. What is x if 20​% of x is about 10 hours?

Answers

about 50 hours!

because 20 x 5 equals 100, so 5 x 10 equals 50! good luck! :)

Help plzzzzzzzzz ASAP

Answers

Answer:

So easy a d and e only bro welcome

whats the solution to -12x ≤ -72

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]

The direction changes when we divide by nagative value

I hope that is useful for you :)

Which represents the solution set of 5(x+5) <85?
x <12
X> 12
x<16
x> 16

Answers

x < 12 represents the solution set

Simplified Equation:

5x+25<85

Answer:

x<12

Will give brainliest for correct answer

Answers

Answer:

a and c

Step-by-step explanation:

I need to know the fraction and the decimal and percent

Answers

Answer:

the shaded area is a fraction and the unshaded is the decimal

3.5.2 Test (CSI) Question 6 of 12 Use the area of the rectangle to find the area of the triangle. 5 ft 10 ft O A. The area of the triangle is 25 square feet, because the area of the rectangle is 50 square feet O B. The area of the triangle is 25 square feet, because the area of the rectangle is 25 square feet C. The area of the triangle is 50 square feet, because the area of the rectangle is 50 square feet. D. The area of the triangle is 50 square feet, because the area of the rectangle is 100 square feet. SUBMIT PREVIOUS e 99+ Type here to search​

Answers

Answer:

c

Step-by-step explanation:

Ron wants to save $5,000 in 5 years. Can he do this by having $100 deposited into a payroll savings plan each month? Explain. use a calculator if you like.

Answers

Answer:

Yes.

Step-by-step explanation:

Yes because 100 times the 12 months in a year equals $1,200 and $1,200 times 5 is $6,000 and $6,000 is greater than $5,000, so yes.

PLEASE HELP FASTTT NO LINKS!!
what is the length of this paint brush in centimeters

picture shows a paint brush that is 101 mm long

Answers

Answer:

10.1 centimeters

Step-by-step explanation:

divide the length by 10

101 ÷ 10 = 10.1

What integer represent 11 degrees above zero?

Answers

It would be 11 since an integer above zero is positive and an integer below zero is a negative

A bag of mints has a mass of 50 grams.

How many ounces is that? (1 g = 0.035 oz)

Answers

The avoirdupois ounce (exactly 28.349523125 g) is 1/16 avoirdupois pound; given; A bag of mints has a mass of 50 grams.

By conversion of weight we know that  ;-  [ 1gram = 0.035 oz]

So, 50 gram will be having = [50 x 0.035] ounce

Which is giving our answer to be 1.763 0unce

The avoirdupois system is a weight measurement system that counts weights in pounds and ounces. It was revised in 1959 after coming into usage on a widespread basis in the 13th century AD. By mutual consent, the definitions of the pound and ounce in nations that use the pound as a unit of mass were standardized in 1959.

A system of weights that is generally used in the United States, with the exception of precious metals, stones, and pharmaceuticals, and is based on a pound weighing 16 ounces and an ounce weighing 437.5 grains (28.350 grams).

To know more about  avoirdupois system please visit ;

https://brainly.com/question/10433943

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Please help very urgent

Answers

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by [tex] \sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}} [/tex].

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

Where [tex] a_{n} [/tex] is the nth term, [tex] a_{1} [/tex] is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, [tex] a_{1} [/tex] will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

[tex] \sqrt[5]{\frac{a_{6}}{a_{1}}} [/tex] =

[tex] \sqrt[5]{\frac{1}{32}} [/tex] =

[tex] \frac{1}{2} [/tex].

Therefore: [tex] r = \frac{1}{2} [/tex].

Using all the information we have, we can find the explicit rule:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

[tex] a_{1} [/tex] = 32[tex] r = \frac{1}{2} [/tex]

[tex] a_{n} = a_{1} • r^{n-1} [/tex] →

[tex] \boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}[/tex]

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

[tex] a_{1} = 32 • (\frac{1}{2})^{1-1} [/tex]

[tex] a_{1} = 32 • (\frac{1}{2})^{0} [/tex]

[tex] a_{1} = 32 • 1[/tex]

[tex] a_{1} = 32 [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{6-1} [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{5} [/tex]

[tex] a_{6} = 32 • \frac{1}{32} [/tex]

[tex] a_{6} = 1 [/tex]

Mrs. James selected 4 3/4
pounds of grapes. The grapes
cost $2.50 per pound. How
much will Mrs. James pay for
the grapes?
A) $7.25
B) $11.88
C) $10.75
D) $16.50

PLEASE HELP

Answers

Answer:

B. $11.88

Step-by-step explanation:

4 · 2.50 = $10

3/4 · 2.50/1 = about $1.88

10 + 1.88 = $11.88

7a +5+2b
Select all of the true statements below.
- 2b and 5 are like terms.
- 5 is a constant.
- 2 is a coefficient.
- 7a+5+2b is written as a product of three factors.
- 7a +5+2b is written as a sum of three terms.
- None of these are true.

Answers

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

Help me please!!!!! I need help with angles

Answers

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

1)

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

2)

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

Work the following pricing problems for services rendered. (For all calculations use hundredths.)

Labor time = 8 hours

Overhead rate = 65%

Retail price of parts = $98.70

Total cost of job = $242.58

What is hourly rate for labor?

A. 27.67
B. 13.32
C. 10.90
D. 117.08

Answers

Answer:

No entiendo ingles perdon

The answer is letter C

What is the value of the expression (9+6)×3 when simplified?
PLEASE HELP

Answers

Answer:

The answer would be 45

The answer is gonna be 45 have a good day

There are 30 red marbles, 16 blue marbles, and 14 green marbles in a jar.
What is the probability of picking out a red marble without looking?
30%
50%
23%
0 27%

Answers

Answer:

B or 50%

Step-by-step explanation:

First, you add all of them together

30 + 16 + 14 = 60

Then you do the part/whole

30/60 = 1/2

1/2 = 50%

Round two decimal places

729015430.40641995​

Answers

Answer:

729015430.40641995​ = 729015430.41

Step-by-step explanation:

Since the 3 decimal place is 6, you round up. If you round up for 0 you get 1. Therefore your answer is 729015430.41.

An Oil Rig is 30 meters tall. Mr. Clanton is standing 12 meters from the base of the Rig. At what angle of elevation does he need to look to see the eagle on top of the Rig ? What is the distance from Mr. Clanton to the Eagle ?

Answers

Answer:

Angle of elevation: 68.2°, distance from Mr. clanton to the eagle: 32.3m.

Step-by-step explanation:

I can't draw the diagram , but will try to explain:

the diagram is a right angled triangle, with the opposite as the rig, the adjacent as the distance between mr. clinton and the base of the rig, and the hypotenuse as x.

∅ is the angle of elevation from clinton to the eagle.

Using SOH CAH TOA,

Tan∅ =30÷12

tan∅ =2.5.

∅ =tan^-1( tan raised to power -1 )

∅ =tan^-1(2.5)

∅ = 68.19859051≅68.2 to 3s.f.

To get the distance between mr. clinton and the eagle:

Using SOH CAH TOA;

Cos68.2 =12/x   cross multiplying....

x*cos68.2 =12

∴ x = 12 ÷ cos 68.2

= 12 ÷ 0.3713678356

= 32.31297611≅32.3 to 3s.f.

Hope this helps.....

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