The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth person's age?​

Answers

Answer 1

Call the four people [tex]abc[/tex] and [tex]d[/tex].

We know:

[tex]\frac{a+b+c}{3}[/tex][tex]=42[/tex]

and

[tex]\frac{a+b+c+d}{4}[/tex][tex]=40[/tex]

Thus:

[tex]a + b + c = 126[/tex]

[tex]\frac{126+4}{4} = 40[/tex]

[tex]126 + d =160[/tex]

[tex]d = 34[/tex]


Related Questions

¿Qué es una semirrecta numérica?

Answers

Answer:

La respuesta está abajo

Step-by-step explanation:

Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.

por favor marca me brainliest con la corona

write the equation of a line that has a m= -5 and passes through the point (-1,4)

write a paragraph describing the steps taken to find the linear equation and include the answer the the question in your response.

at least 6 sentences plz​

Answers

Answer:

We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.

y - 4 = -5(x + 1)

y - 4 = -5x -5

y - 4 + 4 = -5x - 5 + 4

y = -5x - 1

Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.

Step-by-step explanation:

The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line

Answers

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

Which value is not equivalent 0.37 0.370 37/100

Answers

0.370 is the value that isn’t equivalent
These three are all equivalent.

Unless of course you are getting into significant digits, in which case the second one is different from the first.

Otherwise, they all equal 37/100

Зу – х = -5
-7х + 4 = –18
Solve each system of equation using elimination

Answers

Answer:

(1)xy=-5-3

-8ans

Step-by-step explanation:

(2) -3x =-18

-15ans

Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 of gallons of water left, how much water did he use for lettuce?

Answers

Answer:

he used 3\4 im guessing

Step-by-step explanation:

Answer:

Around 7/8 of a gallon

Step-by-step explanation:

Derek has $54 to spend for Christmas presents. He wants to spend an equal amount of his money on his Mom, Dad, and 2 sisters. How much can he spend on each family member? (Do it in Long division pls)

Answers

54/4=13.5 search how to do long division

Which expressions have a value of 49 when w = 4? Choose the correct answers and show your work.

A) 3w2+ 25

B) 7(w2- 9)

C) w3/8+ 41

Answers

Answer:

Step-by-step explanation:

I need help I don’t get it

Answers

You need to show the question to get the answer. All you can see is the lines...

Jim has $50 to spend at an office supply store. He wants to buy $1.69 per pen and S5
each note pad. Jim buys pens and a note pad. Write an equation

Answers

this dosent make sense

Step-by-step explanation:

What is the area of the triangle?
7
5
4

Answers

which number is the height? and which number is the base?

Anyone able to help ?

Answers

Answer:

Step-by-step explanation:

Infinity solutions

the price of a toy usually costing £50 is increased to £65.

Answers

Answer:

I am assuming you want the percentage increase in the price.

Step-by-step explanation:

The percentage increase is ( 15/50) * 100

= 15 * 2

= 30%.

Which of the tables represents a function? (5 points) Table A: Input 3 3 2 Output 1 4 3 Table B: Input 2 5 2 Output 7 6 9 Table C: Input 1 7 7Output 5 2 3 Table D: Input 3 1 8Output 4 5 5 a. Table A b. Table B c. Table C d. Table D

Answers

Answer:

The answer is Table B. Because only table B. doesn't have repeating x or domain.

the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with

Answers

Answer:

it started off with 7 members

(read the whole explanation)

Step-by-step explanation:

Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.

If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,

hope this helps!!!!

.
What is (4x2-9X+1) -(5x2-x-7) written in standard form?

Answers

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

if you increase an amount by 3 percent what is the single multiplyer

Answers

1.03 should be the answer

Answer:

1.03% is the answer

Step-by-step explanation:

PLS HEEELP!! I need this answerd as quick as possible​

Answers

Answer:

i think its the 2nd one

Step-by-step explanation:

Answer:

What is the file? I don't know what the file is because they dont work for me.

Step-by-step explanation:

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-3)°
(x+9)°

Answers

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

A forest covers 68,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many acres of old-growth trees are there?

Answers

Answer:

544 acres

Step-by-step explanation:

There is 100% in a whole.

1% is 1/100th of the whole, or 0.01 of it. We get this because 1/100 = 1/100 = 0.01

Similarly, 0.8/100 = 0.008. We then multiply the decimal by the total to get

(0.008) ( 68000) = 544 acres

Lucas has a goal to practice his violin for 300 minutes per week. How many more minutes does Lucas needs to practice in order to meet his goal ? On Saturday he practice for 45 minutes On Sunday he practice for 50 minutes

Answers

Answer:

205 minutes

Step-by-step explanation:

Step one:

given data

We are told that Luca's goal is to practice violin for 300 minutes in a week

He has practiced 45 minutes and 50 minutes for Saturday and Sunday already

that is in all, 45+50= 95minutes

Required

The remaining minutes of practice

Step two:

the deficit in practice is

300-95= 205 minutes


A watch was on sale for 70% off. The sale price is $60. What was the original price?

Answers

Answer:

78 dollars

Step-by-step explanation:

2.5×10^3 times what number is equal to 5×10^6?

Answers

Answer:

2.5x10^3= 2,500

5x10^6= 5,000,000

Step-by-step explanation:

Here is a great trick that I always keep in mind whenever you are squaring 10 you add that many zeros for example.

10^4= 10000 (there are 4 zeros).

Find the sum of the squares of 3, 2, 1, and -1

Answers

Answer:

15

Step-by-step explanation:

3 x 3=9

2 x 2=4

1x1=1

-1x-1=1

9+4+1+1=15

Answer:

15

Step-by-step explanation:

The square of 3 is 3 times 3, so 9.

2 times 2 is 4.

1 times 1 is 1.

-1 times -1 is 1, because the negative cancels out.

So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.

Help ill mark u brainliest

Answers

Answer:

m∠ONB = 81°

Step-by-step explanation:

If angle MNJ and angle ONB are congruent and MNJ is 81 degrees and OJ is a straight line then ONB should also be 81 degrees in which the other side is 99 degrees.

square root of 9 multiplied by square root of 180

Answers

Square root of 9 is 3 square root of 180 is 13.416roundes 3x13.416 is 40.248

Answer:

18√5

Step-by-step explanation:

√9×√180

from √9 we get 3 cause 3² is 9.

from 180 we get 6√5 because √36×5 is √180.

we took 36 out because it gives us a whole number if we square root it.

So √36×5 is 6√5 , because the square root of 36 is 6

then we multiply 3 and 6√5.

3×6 is 18 so we put 18 and put the √5 behind it.

please help find them
1 AB

2 BC​

Answers

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )

         

Help I will mark brainliestttt

Answers

Answer:

c

Step-by-step explanation:

its c

Can yall find EB? Round the the nearest hundred. AD=8.98, AB=6.47. ABCD is a rectangle

Answers

Answer:

5.53408980773 or 5.534

Step-by-step explanation:

Let's take AD as a, AB as b and DB as c

a2+b2 =c2

(8.98)2 + (6.47) 2 =c2

80.6404 + 41.8609 =c2

The number 2 is square . take it like square

122.5049 =c2

[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]

C=11.0681796155

this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal

So EB =11.0681796155/2

EB =5.5340890773

7(m+5) = 21

What is it?​

Answers

Answer:

m = -2

Step-by-step explanation:

Look at the attached image. First, we divide both sides by 7 to get m + 5 = 3. Now, we subtract 5 from both sides to get m = -2. Now, we substitute m for -2. As we can see, it checks out.

The solution of expression is,

m = - 2

We have to give that,

An expression to solve,

7 (m + 5) = 21

Now, simplify the expression as,

7 (m + 5) = 21

Divide both sides by 7,

m + 5 = 21 / 7

m + 5 = 3

Subtract 5 both side,

m = 3 - 5

m = - 2

So, The solution is, m = - 2

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ6

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