The ages of 10 friends are consecutive integers. The sum of their ages is 710. they get together every Tuesday to play cards and enjoy each other's company calculate their ages

Answers

Answer 1

Answer:

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5

Step-by-step explanation:

Given that :

Age of 10 friends are consecutive integers :

Let the ages be :

x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9

The sum of their ages = 710

Hence,

x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710

10x + 45 = 710

10x = 710 - 45

10x = 665

x = 665 / 10

x = 66.5

x + 1 = 67.5

x + 2 = 68.5

x + 3 = 69.5

x + 4 = 70.5

x + 5 = 71.5

x + 6 = 72. 5

x + 7 = 73.5

x + 8 = 74.5

x + 9 = 84.5


Related Questions

The temperature dropped from 23°C to -16°C.
By how many degrees did the temperature drop?

Answers

The temperature drops when the temperature goes down from 23°C to -16°C is 39°C.

What is subtraction?

It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.

The temperature dropped from 23°C to -16°C.

Then the drop in temperature will be

Temperature drop = 23 - (-16)

Temperature drop = 23 + 16

Temperature drop = 39 °C

More about the subtraction link is given below.

https://brainly.com/question/4319655

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- 3 1/3 = - 1/2g. Show work plz

Answers

Answer:

Points

Step-by-step explanation:

Victor left his house riding his bike at a speed of 18 km/h. When Victor was km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?

Answers

Complete question :

Victor left his house riding his bike at a speed of 18 km/h. When Victor was 1/2 km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?

Answer:

0.083333 or 5 minutes

Step-by-step explanation:

Victor's speed = 18 km/hr

Alex's speed = 24 km/hr

Alex left after Victor has moved a distance of 1/2 km

Time Alex will catch up with Victor :

Let time = x

distance at which Victor = Alex

(18 * x) + 0.5 = (24 * x)

18x + 0.5 = 24x

18x - 24x = - 0.5

-6x = - 0.5

x = 0.5 / 6

x = 0.0833333 hour

x = 0.0833333 *60 = 5 minutes

Answer:

5 min

Step-by-step explanation:

slope of y= 4x - 1.

Answers

Answer:

Slope m = 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

[Slope-Intercept] y = 4x - 1

Step 2: Break Function

Identify Parts.

Slope m = 4

y-intercept b = -1

Ameron works for a car dealership and earns a monthly salary plus a commission for every car he sells.(8.5B) Which equation could be used to find Cameron's total monthly income, M, after selling n cars? M = 500n + 1750 M = 1750n + 2250 M = 1750n + 500 M = 2250n

Answers

Answer:

Equation used to calculate monthly income of Ameron is: M = 1750+500n

Step-by-step explanation:

From the question it is give that :

monthly salary of Ameron is 1750 and commission for every car he sells is 500

let n be the Number of car he sells then its total income M of the month is

M = 1750 + 500n

Therefore correct option is (a) i.e., M = 1750+500n

q=25πh how do I solve it​

Answers

Answer: ok the answer is 42

Step-by-step explanation: so q = 17 right? and 25 = Y

so i think you add then you get 42...right? i might not get the right answer

but what letter is this i don't know this symbol or lettter: π

Please help me answer I will give 13 points thanks

Answers

Answer:

y=85x

Step-by-step explanation:

It takes 2 minutes to print 3 photos. AT this rate, how long does it take to print 10 photos?

Answers

Answer:

Step-by-step explanation:

1 photo = 40 seconds.

40(10)=400

400/60

it would be about 6 mins and 36 seconds

what is the sum of the sequence 2+5+8+11+...+296

Answers

From the top of my head it is 322

Over what interval is the function nonlinear?

Answers

Answer:

Step-by-step explanation:

3rd one

A promoter buys advertising in units of $30,000 each. If he buys two units of broadcast TV, one unit of cable TV, and two units of radio, how much does he spend in advertising?

Answers

Answer:

$150,000

Step-by-step explanation:

The first step is to calculate the total number of units

= 2 +1 +2

= 5

If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows

= 30,000 × 5

= 150,000

Hence the promoter spends $150,000 on advertising

Зу + 6x = 12
8х + 4у - 16
How many solutions does this system of linear equations have? Explain.

Answers

Answer:

Step-by-step explanation:

Identify the y-intercept of the function represented
by the following table:

Answers

Answer:

-3

Step-by-step explanation:

the slope is 2 so add 2 to -5 (because its only one number lower than 0) and you get your answer

Mrs. Goerlich deposited $2,000 into a savings account to save for her son's college tuition. • The account earns simple interest. • She did not make any additional deposits or withdrawals. • At the end of 6 years, the account has a balance of $2,780. What is the annual interest rate on this account?

Answers

Answer: 6.5%

Step-by-step explanation:

In 6 years the interest earned is:

= 2,780 - 2,000

= $780

The account earns simple interest which means that it increased by the same rate yearly. Yearly increase is:

= 780/6

= $130

Simple interest rate = Interest payment/ Deposit

= 130/2,000

= 6.5%

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.93 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

The total cost of the meal is $
I searched this on brainly and the answer was wrong. The correct answer is actually 82.88! Thank me later :)

Answers

Answer:

The answer is $82.88.

Step-by-step explanation:

Too complicated. Will do explanation later.

Answer: You're correct :3

Step-by-step explanation:

15% of 78.93 ≈ 11.84

78.93 - 11.84 = 67.09

20% of 78.93 ≈ 15.79

67.09 + 15.79 = 82.88

You're correct!

Thanks for the free points btw. :p

what is the square root of 144

Answers

Answer:

12

Step-by-step explanation:

12 x 12 = 144

Answer:

12

Step-by-step explanation:

[tex]\sqrt{144}[/tex]=12

please answer, I need help asap, thanks :p​

Answers

answer:
angle A: most likely 20 degrees
angle B: most likely 100 degrees


explanation:
a full circle is 360 degrees.
the angle on the bottom left-hand corner is most obviously a 90 degree angle.
the angle on the right hand corner labeled “75 degrees” is the same as the angle in the top left hand corner, as they are mirrored. this means:

360-90-75-75=120

there is 120 degrees left for the two values that we are looking for. since B is an obtuse angle, I would say that angle B is most likely 100 degrees and the smaller angle (angle A) would be 20 degrees.

hope this helps you!

xoxo

Answer:

Angle A = 15

Angle B: 105

Step-by-step explanation:

Angle A and 75° add up to 90°

75 + x = 90

x = 90 - 75

x = 15

Angle B and 75° add up to 180°

75 + x = 180

x = 180 - 75

x = 105

The graph shows f(x) and its transformationg (x)
Which equation correctly modelsg (x)?
g(x) = 3^x-7 – 2
g (x) = 3^x+7 - 2
g(x) = 3^x+2 - 7
g(x) = 3^x-2-7

Answers

Answer:

[tex]g(x) = {3}^{x - 2} - 7[/tex]

Step-by-step explanation:

As we can see, the graph of transformation of f(x) is translated to the right and down.

then, g(x) = f(x - a) - b, where a & b > 0.

from the options, there are 4 translated function of f(x).

but on the second option

[tex] {3}^{x + 7} - 2 = {3}^{x - ( - 7)} - 2[/tex]

a < 0, then it's not the answer we need, same as third option that makes only first and fourth left.

from the picture, horizontal asymptote of f(x) is y = 0.

on g(x) horizontal asymptote is y = -b, where -10 < -b < -5.

and from the options that are left, we can see only fourth option that satisfies what we need.

Use the distributive property to write the next step in simplifying the numerical expression
4(8+9)

ОА. 4•8+9
ОB. (4+B)•(4+9)
ОC. 4+8•4+9
OD.4•8+4•9

Answers

Answer: D
hope this helps:)

Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that number. Then add twice the your original number. Next add 1. Take the square root of the result. Finally, subtract your original number. Then Julie exclaims with authority, "Your answer is 1." Is your answer 1?

Answers

Answer:

No

Step-by-step explanation:

I picked 2. Then got 4. Then 8. Then 9. Then 81. Then 79.(i dont know if this is right)

(1+2/3) / x = (2+7/9)

Answers

Answer:

x=45/75

Step-by-step explanation:

(1+2/3)/x= 2+7/9

5/3x=25/9

5*9= 3x*25

45=75x

x= 45/75 orx=0.6

The unit rate for 156$ for 3 books is $___ per book

Answers

An

$52

Step bro

suck it

Answer:

52$

Step-by-step explanation:

Divide for the unit price of 1 book.

You get $52

What is 200 % of 9000

Answers

Answer:

It is 18000 i hope it is helpful have a nice day

6 xy × 4 = 2 x72 please koi solutions do​

Answers

Answer:

y = 6

Step-by-step explanation:

6 * y * 4 = 2 * 72

y = 2 * 72/24 = 6

6xy × 4 = 2 × 72

or, 6xy = 2 × 72/4

or, 6xy = 36

or, xy = 6

6 = 3 × 2 × 1

Hence, x = 3 and y = 2

or, x = 2 and y = 3

or, x = 6 and y = 1

or, x = 1 and y = 6

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)

Which question can be answered using the expression 1/3 Divided By 3/4

Answers

Answer:

0.4

Step-by-step explanation:

The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 1/3 ÷ 3/4.

Here the operation is division.

So 1/3 of something is divided in to 3/4 parts.

Let a total amount of something be 1/3 units.

Suppose you have to divide it into 3/4 parts.

Then this expression can be used.

Let the total amount of apple pie left is 1/3 part of the total.

You have to divide t into 3/4 parts.

Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.

Learn more about expressions here :

https://brainly.com/question/13015660

#SPJ3

The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?

Answers

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years

A fruit basket of apples and oranges has 14 fruit Apples cost $3 each and orange cost $2 each the fruit basket costs $34 write and solve a system of linear equations to determine how many apples x and oranges y are in the fruit basket

Answers

Answer:

3(a)+2(o)=14

3(a)+2(o)=34

3(4)+2(1)=14

3(8)+2(5)=34

Step-by-step explanation:

4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.

Simply please will give brainlist to first right answer

Answers

Answer:

12-14i

Step-by-step explanation:

[tex](-1-3i)(3+5i)\\\\=-1(3)-1(5i)-3i(3)-3i(5i)\\\\=-3-5i-9i-15i^2\\\\= -3-14i-15i^2\\\\[/tex]

here we know that i^2=-1

[tex]=-3-14i-15(-1)\\\\=-3-14i+15\\\\=12-14i[/tex]

The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than the 2nd side. Write an equation to solve for the perimeter. Then find the ____ and ____.

Fill in the blanks.

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:

= 3 × 2 = 6

The 3rd side is 6 more than the 2nd side. The 3rd side will be:

= 6 + 6 = 12

The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:

= 3 + 6 + 12

= 21

The sides are:

1st side = 3

2nd side = 6

3rd side = 12.

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