The sum of the ages of Jan and George is 65. In 10 years, Jan will be 4 times as old as George.

Set up the system of equations and solve for how old Jan and George are now.

Answers

Answer 1

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:


Related Questions

Find three consecutive integers that sums to 15. Show your equation and all work.​

Answers

Answer:

4, 5, 6

Step-by-step explanation:

Represent the first number by x.  Then the next two consecutive integers are x + 1 and x = 2.  

THEN x + x + 1 + x + 2 = 15, WHICH REDUCES TO 3x + 3 = 15.

Then 3x = 12, and x = 4.

The consecutive integers are 4, 5 and 6.

I will give the brainiest answer

Answers

Answer:

289 units

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here C = 907.46 , thus

907.46 = πd ( divide both sides by π )

d = [tex]\frac{907.46}{\pi }[/tex] ≈ 289 units ( nearest whole number )

Answer:

[tex]d = 288.84 \: \: \: units[/tex]

Step-by-step explanation:

Using the formula

[tex]c = 2\pi \: r[/tex]

Solving for r

[tex]r = \frac{c}{2\pi} = \frac{907.46}{2\pi} \\ = 144.42674 \\ [/tex]

Now lets find the diameter

[tex]d = 2r \\ d = 2 \times 144.42 \\ d = 288.84 \: units[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

For every 2 adults there are 7 kids. There are a total of 180 people. How many adults and kids are there out of the 180 total?

Answers

Answer:

40 adults and 140 kids

Step-by-step explanation:

Answer:

40 adults

Step-by-step explanation:

40 adults and 140 kids

20 times 7 is 140

40 plus 140 is 180

Which function equation is represented by the graph? ​f(x)=12(4/3)x​ ​f(x)=12(1/2)x​ ​f(x)=12(3/2)x​ f(x)=12(2/3)x

Answers

it’s d; f(x)= 12 (2/3)^x

Can I get some help on this question?

Answers

Yes it is I just had the same question and got it right

If X^2 = 4
Does X = 2 or X = -2

Answers

Answer:

Both.

Step-by-step explanation:

[tex]x^2=4[/tex]

[tex]x=\±\sqrt{4}[/tex]

[tex]x=\± 2[/tex]

Answer:

Yes

Step-by-step explanation:

If,

X² = 4

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{4}[/tex]

So, It becomes

X = ±4

Either

X = 2    OR     X = -2

Solve x + 5x – 14 = 0

I’m doing factorising and solving quadratics.

Answers

Answer:

x + 5x = 14

6x = 14

x = 14/6

x = 7/3

Step-by-step explanation:

Which expression does not represent "the sum of n and 6"? n + 6 6 n 6 + n

Answers

Answer:

6n

Step-by-step explanation:

Answer:

6n

Step-by-step explanation

1) the sum of n and 6

2) the product of 6 and n

3) the sum of 6 and n

addends can be reversed due to the communicative property of addition

since the second one represents a product of 6 and n,

it is the one that does not, though, if it were the product of 6 and n divided by 6, then plus 6, it would represent

A class is made up of 2 boys and 12 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses

Answers

20 out of 40 persay so yeah

a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay a .35% b.120% c.65% d70%

Answers

Answer:

C

Step-by-step explanation:

Im not exactly sure about this, but i think for the first step, you would do 120*35/100=42 (35/100 is 35%). Then you take 120 and subtract 42, cuz thats how much you took off. 120-42=78. Then, you do 78/120*100 to get the percent you have left. 78/120*100=65%. The simpler way to do it, seeing as there arent mutiple sales on this pair of shoes, is just subtract 35 from 100 to get 65%

Answer:

c: 65% of the answer

Step-by-step explanation:

$120 is 100% we need to find the discount which is 100%-35% = 65%

You will pay now $78 for the shoes.

cross-check 120/100*65 = $78

What is the greatest common factor of 90 xy2 and 12xy?
6xy
B.
6xy
C.
12xy
D.
12xy?
Reset​

Answers

Answer: B 6xy2

Step-by-step explanation:

because 90xy3 and 12xy are made by 6xy2.

William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM

Answers

Answer:

12:00 AM

Step-by-step explanation:

Taking the lodge as the center of the coordinate system, the position of each person is:

William: 6+3*t

Nancy: 5*t

Edgar: 12*t

where t is in hours after 10:00 am

Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.

WN = √[(5*t)² + (6+3*t)²]

Similarly, Between the positions of Nancy and Edgar:

NE = √[(5*t)² + (12*t)²]

If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then

NE = WN + 10

√[(5*t)² + (12*t)²]  = √[(5*t)² + (6+3*t)²] + 10

With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM

what is the sqaure root of 64?

Answers

Answer: 8

Step-by-step explanation:

To change a decimal to a fraction we route write the digit to the left or to the right of the decimal point over the appropriate power of 10

Answers

Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

Wich property is represented by the equation shown below? 6 x 3 = 3 x 6 A) Multiplicative inverse property B) Multiplicative identity property C) Associative property of multiplication D) Commutative property of multiplication

Answers

Answer:

D) Communicative Property of Multiplication

Please give brainliest -3-

Find x, y and z to the nearest hundredth.

Answers

Answer:

see explanation

Step-by-step explanation:

This is an example of the Altitude - on - Hypotenuse theorem.

The altitude that is perpendicular to the hypotenuse of a right triangle.

The two triangles formed are similar to the given triangle and to each other.

x² = (smaller part) × (larger part) of main hypotenuse

x² = 6 + 19 = 114 ( square root both sides )

x ≈ 10.68 ( nearest hundredth )

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

y² = ( smaller part) × (whole part) of main hypotenuse

y² = 6 × 25 = 150 ( square root both sides )

y ≈ 12.25 ( nearest hundredth )

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

z² = ( larger part) × (whole part) of main diagonal

z² = 19 × 25 = 475 ( square root both sides )

z ≈ 21.79 ( nearest hundredth )

ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:

Answers

Answer

10) 36

11)2001

Step-by-step explanation:

Answer:

10. 36 (exact answer), 30 or 30.16 (estimated answer).

11. 2001 (exact answer), Undefined, or 1900 (estimated answer).

Step-by-step explanation:

For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?

-To have the exact answer we have to divide 903.6  ÷ 25.1 = 36.  

-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900  ÷ 30 = 30.

-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.

-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.

-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?

-To have the exact answer we have to divide 760.38  ÷ 0.38 = 2001.

-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.

-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.

-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760  ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.

Your history teacher is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is a total of 40 questions on the assessment, how many questions are worth 2 points?

Answers

Solve the following equation : 2x+3x= 40

then, multiply the value of "x" by 2.

Hope it helps

What is the value of 4³÷ 2³ ?

Answers

Answer:

2^3 or 8

Step-by-step explanation:

[tex]4^3\div 2^3= \\\\(2^2)^3\div 2^3= \\\\2^{2\cdot 3}\div 2^3= \\\\2^6\div 2^3=\\\\2^{6-3}=\\\\2^3=\\\\8[/tex]

Hope this helps!

Answer:

8

Step-by-step explanation:

subtract because it is division

=2x2x2

=8

hope it helps- can u pls mark as brainliest?

Can someone please help me find the slope of the line!!!!! Extra Points and Braniest will be given!!!

Answers

4 rise Over run get two points and count the distance between both

Answer:

(3,12)

Step-by-step explanation: The slope is rise over run so the rise is x and run run is the y

2a+6=12 what does a equal a=? Please help.

Answers

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

Franklin deposited $75 in a no-interest bank account when he opened it. After that, he deposits $50 per month in the account. Assume he makes no other withdrawals or deposits. The equation below can be used to find m , the number of months it will take him to save a total of $175.

Answers

175=75+50n
n is number of months
175-75=50n
100\50=n
n=2

Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per box?

Answers

Answer:

18 books per box

Step-by-step explanation:

This is a division problem, in order to find out how many books per box divide the amount of books by the amount of boxes. 126 divided by 7 is 18.

Answer:

[tex]18[/tex] books per box.

Step-by-step explanation:

To figure out out many books are in each box, divide the total amount by how many boxes there are.

[tex]126/7=18[/tex]

There are 18 books in each box.

:)

The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gym
class, students warm up by jogging along the edges of the field. What is the total number
of feet they jog?
475 feet
950 feet
52.500 feet
105.000 feet

Answers

the total number of feet they jog is 950 feet.

some teachers traveled to school by car the table shows the number of teachers in the cars a) what was the modal number of teachers in a car b) what was the median number of teachers in a car c) what was the mean number of teachers in a car

Answers

Answer:

Step-by-step explanation:

since it is asking for the modal that means the most so it would be 3 teachers, and when asking the median we have to change the order so it would be 2,3,4,6 and we find the middle so it would be 3.5, and the mean is the total of the numbers divided by how many numbers there are so it would 2+6+4+3=

15/10 = 1.5

A mean is an arithmetic average of a set of observations. The model number, median, and mean of the number of teachers in a car are 3, 3, and 2.46667, respectively.

What is Mean?

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The given table can be written in the data form as 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4.

A.) The modal number is the mode of a given data set. Therefore, the mode of the given data set is 3.

B.) The median is the middle number of a given data set. Therefore, the median is 3.

C.) The mean is the average number of teachers in a car. Therefore, the mean is,

Mean = (1+1+1+2+2+2+2+3+3+3+3+3+3+4+4)/15 = 37/15 = 2.46667

Hence, the model number, median and the mean of the number of teachers in a car is 3, 3, and 2.46667, respectively.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ2

5/6 of ______= 35 brainly

Answers

Answer: 42

Step-by-step explanation: 35 divided by 5=7 so 35+7=42

A train travels at a speed of 45 kmph. In 48 minutes, how much distance will it travel? ( with explanation )

Answers

Answer:

36 km

Step-by-step explanation:

By dividing 45 by 60 you make it into .75 per minute therefore by multiplying by 48 you get your answer which is 36 km

Answer:

36 km

Step-by-step explanation:

We are given a speed in km per hour. Since 1 hour = 60 minutes, we can find the speed in km per minute.

45 kph = 45 km/hour = 45 km/(60 minutes) = 0.75 km/minute

Now that we know the speed in km per minute, we multiply the speed by 48 minutes to find the distance traveled in 48 minutes.

0.75 km/minute * 48 minutes = 36 km

(8x - 6) - (7x - 9)

I hope you're open to me asking more questions in the reply <3

Answers

Answer:

x + 3

Step-by-step explanation:

Given

(8x - 6) - (7x - 9)

Distribute the first parenthesis by 1 and the second by - 1

= 8x - 6 - 7x + 9 ← collect like terms

= x + 3

(06.02 LC)
Simplify (3x - 5) - (5x + 1).
0-2x + 6
0-2x - 6
O 2x - 6
O 2x + 6

Answers

Answer:

-2x-6

Step-by-step explanation:

Look at the attachment

which of theses fraction is the largest 1/2 4/5 5/8 3/6​

Answers

Answer:

4/5 is the largest

convert them into decimals (idk what they are called) but basically, 4/5 is 0.8, 1/2 and 3/6 are 0.5 and 5/8 is 0.625

when you look at the numbers this way, 4/5 is the largest

Answer:4/5

Step-by-step explanation:1/2=50% 4/5=80% 5/8=63.5% 3/6=50%. The largest is 80% which is 4/5

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