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

Declaring war and coining money are considered
states' rights.
implied powers.
national rights.
expressed powers.

Answers

Answer: Expressed powers

Step-by-step

It is Expressed powers

What is the measurement of Angle J?*

Answers

Answer:

So anytime you have same sides on both legs. You will have same angles for both that are not 90 degrees. So if all angles add up to 180. 180-90 = 90. 90/2 = 45 degrees

Answer:

J = 45

Step-by-step explanation:

Since the two sides are the same, the base angles must be equal.  Since it is a right triangle, the two angles share 90 degrees

90/2 = 45

Each angle is 45 degrees

J = 45

What is the area of the garden in Plan B? (Type the numeric answer only).

Answers

Answer:

241.5 ft^2

Step-by-step explanation:

First, find the area of the deck. A = LW.  L = 20, W = 16.

20 x 16 = 320.

Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex].   r = 5.  

A = (pi)5^2

A = 25(pi)       pi =  3.14

A = 78.5

Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.

320 - 78.5 = 241.5

Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)

Answers

Answer:

g( f(2)+3) = 30

Step-by-step explanation:

step(i):-

Given function  g(t)=t²-t and f(x)=1+x

given f(x)=1+x

         f(2) = 1 + 2 =3

step(ii):-

g( f(2)+3) = g(3 + 3)

              = g(6)

             = (6)² - 6

             = 36 -6

             = 30

Conclusion:-

g( f(2)+3) = 30

Find the coordinate of point k inside segment AE that is 3/7 the
distance from A to E.

Answers

Answer:

-6

Step-by-step explanation:

its the right answer

If f(x) = 3x + –, what is f(a+ 2)?
+
X
O A. 36(a)) +
5
f(a) + 2
O B. 3a+2+2
5
O C. 3(a + 2) +
Q + 2

Answers

Answer:

C

Step-by-step explanation:

Pls solve for x hurry !

Answers

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

a) write a formula for the perimeter p of the figure.

b) calculate the value of x if p=64​

Answers

Answer:

[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]

What is the 10th of a quarter of 1600

Answers

Answer:

40

Step-by-step explanation:

A quarter of 1600: 400

A tenth of 400:40

The value of 10th of a quarter of 1600 is 40.

What is a quarter of a number?

A quarter of the number is 1/4 times of the number i.e. times of the number.

Quarter of x= (1/4)*x= 0.25 * x

Given in the question that we have to calculate 10th of a quarter of 1600.

Before that we have  to first calculate a quarter of 1600 which is calculated by using the above formula

quarter of 1600= (1/4)*1600= 0.25* 1600= 400

Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.

10th of 400= (1/10) * 400= 40

Therefore the value of 10th of a quarter of 1600 is 40.

Learn more about the quarter

here: https://brainly.com/question/382406

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The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

if 5800 people buy something that's 0.25 cents how much money would be made​

Answers

Answer:

1450

Step-by-step explanation:

Take the amount of people times the dollar amount

5800 * .25 =1450


Which of the following is a random sample?

Answers

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D.  An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.

PLEASE HELP THIS IS URGENT I AM BEING TIMED!!

Four children have the following weights: 45.5 pounds, 61 pounds, 37.2 pounds, and 16.34 pounds. What is the average weight of the children?

Answers

Answer:

40.01 lb

Step-by-step explanation:

mean:

(45.5+61+37.2+16.34)/4

160.04/4

40.01

Answer:

40.01

Step-by-step explanation:

First add all of the weights together and it should give you 160.04 divide that by 4 children and there is your answer

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

80 degrees

Step-by-step explanation:

180-100=80 degrees

Answer:

[tex]80 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line = 180°

Let the ACE angle be x

Given that

ACD angle =100°

[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.

Answers

Answer:

Rational expression

Step-by-step explanation:

A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x

A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.

Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.

Thus, the blanked statement is the definition of the rational function

Learn more about polynomial function here:

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20. Rewrite the following expression as a fraction times the variable.
-8a/9

Answers

Answer:

-8a times 1/9

Step-by-step explanation:

This can be thought of as -8a/1 times 1/9. (1/9 is the reciprocal of 9, so were just pulling the fraction apart)

The expression is as fraction times the variable is (-8/9)a.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

As per the given,-8a/9

The variable in the above fraction is a.

Thus, (-8/9)a will be the representation in terms of the product of constant and variable.

Hence "The expression is as fraction times the variable is (-8/9)a".

For more about fractions,

https://brainly.com/question/10354322

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Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamps, how many postcards does Mary have?

Answers

Answer:

8

Step-by-step explanation:

2:9

9*4 = 36

2*4 = 8

Solve for x. 9x=3x−3

Answers

Answer:

x=-1/2

Step-by-step explanation:

9X = 3X + -3

Reorder the terms:

9X = -3 + 3X

Solving

9X = -3 + 3X

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-3X' to each side of the equation.

9X + -3X = -3 + 3X + -3X

Combine like terms: 9X + -3X = 6X

6X = -3 + 3X + -3X

Combine like terms: 3X + -3X = 0

6X = -3 + 0

6X = -3

Divide each side by '6'.

X = -0.5

Answer:

x = -0.5

Step-by-step explanation:

In an equation, the goal is the isolate the variable. We do this by undoing the operations done to result in the given equation.

Step 1: Subtract 3x

6x = -3

Step 2: Divide by 6

-0.5

Step 3: Check

9(-0.5) = 3(-0.5) - 3

-4.5 = -4.5 ✅

I'm always happy to help :)

what is the equation of a line that passes through the points -2 -2 and has a slope of four

Answers

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line


Which of the following proportions could be used to convert 12 quarts to gallons?

Answers

Answer: it is c.

Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.

Answer:

C

Step-by-step explanation:

C

pls help this is due tmr pls help:(​

Answers

Answer:

The correct answer is 4 (0.72n)

Total notebook = 70

Total cost = 50.4

now

cost of one note book = total cost / total no notebook

= 50.4/70

= 0.72

plz plz i really need this will mark bianleast
Point Z is translated right 1, down 8.
Which is the coordinate pair for the translated point Z'?




(4, –1)

(1, 4)

(1, –4)

(–8, 1)

Answers

Answer:

(1, –4)

Step-by-step explanation:

Since, Z is translated right 1 and down 8, so x- coordinate would be 1 and y-coordinate would be - 4

Hence the coordinate pair for the translated point Z' would be (1, - 4).

Find the surface area and volume of a rectangular prism with the following dimensions: Length = 9 cm, Width = 5 cm, Height = 6 cm

Answers

Answer:Area=258cm square

Step-by-step explanation:

Length:9 cm

Width:5 cm

Height:6 cm

=A=2[wl+hl+hw]=2.[5.9+6.9+6.5]=258 cm square

The equation 8-4x=0 has how many real solutions

Answers

Answer:

1 real solution (2)

Step-by-step explanation:

Answer:

one real solution

Step-by-step explanation:

8-4x=0

Add 4x to each side

8 = 4x

Divide by 4

8/4 = 4x/4

2 =x

There is one real solution

Object------------- Diameter (cm) ----- Circumference (cm)

Coin --------------------------- 3 ------------------------- 10
Flying disc -------------------23--------------------------- 28
Jar lid---------------------------- 8------------------------------25
Flower pot -----------------------15------------------------------47





Owen measured the diameter and circumference of four circles. Which one of his measurements is the least accurate?


Coin


Flying disc


Jar lid


Flower pot

Answers

Answer: Flying disc

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula for each object:

Circumference(C) = π x diameter

Coin  

Diameter = 3  

Circumference (measured) = 10  

C (calculated) = π x d = π x 3 = 9.42  

10≅9.42

Flying disc  

Diameter =23

Circumference (measured) = 28  

C (calculated) = π x d = π x 23 = 72.25

72.25 ≠ 28

Not accurate

Jar lid

Diameter =8

Circumference (measured) =25  

C (calculated) = π x d = π x 8= 25.13

25 ≠ 25.13

Flower pot

Diameter =15

Circumference (measured)=47

C (calculated) = π x d = π x 15 = 47.12

47 ≠47.12

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Jar lid

Step-by-step explanation:

If you look up the diameter and circumference of the jar lid, it would give you an answer and if you compare it the answers are diffrent. So what you wan to put is: "I know that the Jar lid is wrong because For a  jar lid, the diameter is 8, but for the circumference its is 2.5, and on the chart the dimeter is 8 BUT the circumference is 2.5" Hope this help. :)

What is the angle of fire in standard position on the unit circle in both degrees and radians?

Answers

Answer90

Step-by-step explanation:

Answer:

90

Step by step explanation:

Penny wrote the mixed number 4 2/7 as 8/7. Describe Penny's error, and EXPLAIN how she should of have written the improper fraction​

Answers

Answer:

She must have multiplied 4 times 2/7 which is 8/7. She should have written it as 30/7.

Step-by-step explanation:

According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use​ Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
​, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
​, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
​, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half

Answers

Answer:

0.0625

Step-by-step explanation:

Data

P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

Answer:5.17%

Step-by-step explanation:

Find the equation of the line that contains the point (−3,−10) and is parallel to the line 6x+5y=11. Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question to find the gradient.

2. substitute gradient and points into y - y1 = m (x - x1)

Answer:

y = -1.2x - 13.6

Step-by-step explanation:

1. rearrange original question

2. substitute points into y - y1 = m (x - x1)

What is the product?

pls help dis is timed :(

Answers

Answer: I think is c

Step-by-step explanation:

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