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.

Answer:6

Step-by-step explanation:

The base is 3 and the height is 4

3*4/2 = 6

Answer:

6 units^2

Step-by-step explanation:

The base (segment DE) is 3 units.

The height is 4 units. (From point F going horizontally until it intersects segment DE)

Formula for area of a triangle: (1/2)BH

(1/2)(3)(4) = (1/2)12 = 6

Answer:

3.45

Step-by-step explanation:

If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.

So, divide 38 by 11.

38/11 = 3.454545

Round to nearest hundredth:   3.45

Answer:

3.45 pages per minute

Step-by-step explanation:

Take the number of pages and divide by the number of minutes

38 pages/11 minutes

3.45454545 pages/minute

To the nearest hundredth

3.45 pages per minute

Answer:

g < 10

Step-by-step explanation:

-6g + 3g + 12 > -18

Combine like terms

-3g +12 > -18

Subtract 12 from each side

-3g+12-12 > -18-12

-3g > -30

Divide each side by -3, remembering to flip the inequality

-3g/-3 < -30/-3

g < 10

Answer:

40

Step-by-step explanation:

So split it into two shapes. Two rectangles.

Rectangle 1 = 4 * 5 = 20

Rectangle 2 = 2 * 10 = 20

20 + 20 = 40

Answer:

40 square feet

Step-by-step explanation:

we can cut the carpeted space into 2 parts for easier calculation.

we can do 4 x 5 to find the first part, which equals to 20 square feet.

then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.

Just add up both of the calculations(20 +20) then you'll get your answer!

the answer is 40 square feet.

Hope this helps and you understand now!

Answer:

y=3/2x+11/2

Step-by-step explanation:

divide the whole thing by 2

2y=3x+11 divided by 2 equals

y-3/2x+11/2

then just plug in the 3 points

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.

Answer:

7/15

Step-by-step explanation:

probability of one being a a 3-pointer is

1 2 3 4 5 6 7

7/15

Probability that at least one of the next 5 baskets made by the team is a 3- pointer is 7 / 15.

" Probability is a branch of mathematics which represents ratio of number of favourable outcomes to the total number of outcome of  any event."

Formula used

Probability =  [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Random number represents 15 trials

Therefore,

Total number of outcomes = 15

At least one of the 5 team baskets made by the team is a 3- pointer

Sample space of favourable outcomes

                         =  { 81357, 21761, 51537, 62135, 16687, 41662, 27135}

Number of favourable outcome = 7

Required probability = 7 / 15

Hence, Option (D) is the correct answer.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

Answer:

Hello dear,

5.102 ×10⁸km

300000000

2.4×10⁵

149600000000m

Hope it will help you

please thank

Answer:

(-1,-2)

Step-by-step explanation:

I graphed the equation on the graph below so you can see that (-1,-2) is a solution.

Answer:

i think it is -9x/7

Step-by-step explanation:

Answer:32/3

Step-by-step explanation:

1/3(2)4^2

1/3(2)(4^2)

2/3(16)

32/2

Answer:

f(2)=16/3

Step-by-step explanation:

f(2)=1/3 (4^2)

f(2)=1/3(16)

f(2)=16/3

Answer:

We can split this into 2 "cases": 2x - 3 = 5 and 2x - 3 = -5 because you can find the absolute value of negative numbers as well. Solving the two cases we get x = 4, -1.

Answer:

4, -1

Step-by-step explanation:

2x-3=5

x=4

2x-3=-5

x=-1

Answer:

A. Domain : (-∞, ∞)

B. Function is increasing in the interval (-2, 0) and (2, ∞)

   Decreasing in the interval of (-∞, -2) and (0, 2).

Step-by-step explanation:

A. Given function is, y = |2x - 1|

This function is the transformed form of the parent function, y = |x|

Domain of the parent function is { x | x is a set of real numbers}

Therefore, domain of the transformed function will be the same as the domain of the parent function.

Domain of the function = {x | x is a real number}

B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]

Domain of the function : (-∞, ∞)

Critical points of the function are,

⇒ x = 0, ±2

Now we find the three intervals where we have to check the function to be increasing or decreasing.

(-∞ -2), (-2, 0), (0, 2), (2, ∞)

Derivative of the function f(x),

f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]

Here, f'(x) < 0 for (-∞, -2)

f'(x) > 0 for (-2, 0)

f'(x) < 0 for (0, 2)

f'(x) > 0 for (2, ∞)

Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)

And it's decreasing in the interval of (-∞, -2), and (0, 2).

Answer:

B)

Step-by-step explanation:

6x - 9

Here, 6x is a term and -9 is another term

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.

:)

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

Answer:

its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.

Answer:

(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)

Step-by-step explanation:

Answer:

x, y = -3/2, -3/2

Step-by-step explanation:

photo math will be your best friend

Answer: y = 2/3 x -2/3

Answer:

Total Students = 3a - 2b

Step-by-step explanation:

Given

Students in drama club = a

There are twice as many students in cooking club as in drama club;

So, Students in cooking club = 2a

Members of both clubs = b

Required

Expression for total students in cooking or drama club but not both;

To do this, number of students in individual clubs need to be calculated;

Let Students in drama club only  be represented by D and Students in cooking club only be represented by C

So,

D = Students in drama club - Members of both clubs

D = a - b

Similarly,

C = Students in cooking club - Members of both clubs

C = 2a - b

So, total students in cooking or drama club but not both D + C

Total students = a - b + 2a - b

Collect like terms

Total Students = a + 2a - b - b

Total Students = 3a - 2b

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

Answer:

Step-by-step explanation:

most probably secant

hope it helps

Answer:

98 centimeters

Step-by-step explanation:

perimeter of rectangle=2(l+b)

width=breadth=77centimetrs

perimeter=340 centimeters

340=2(l+77)

340=2l+144

340-144=2l

196=2l

l=98 centimetrs

Answer:

82units²

Step-by-step explanation:

=2(3*7)+2(3*2)+2(7*2)

=82 units²

Answer:

[tex]82 {units}^{2} [/tex]

Step-by-step

explanation

explanation is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is option D.

A n B is { 7 }

Hope this helps.

Answer: D

Step-by-step explanation:

Answer:

2( 6x+5+2y)

Step-by-step explanation:

12x + 10 + 4y

Factor out a 2

2*6x + 2*5 + 2*2y

2( 6x+5+2y)