Charlie does a weekly exercise program consisting of cardiovascular work and weight training. Each week, he exercises for at least 9 hours. He spends at most 12 hours on weight training. He spends at most 6 hours doing cardiovascular work. Let x denote the time (in hours) that Charlie spends doing cardiovascular work. Let y denote the time (in hours) that he spends on weight training. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answers

Answer 1

Answer:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Step-by-step explanation:

Given

x = hours spent on cardiovascular work

y = hours spent on weight training

From the first statement,

Each week: he spends at least 9 hours

This is represented as:

[tex]Total \ge 9[/tex]

[tex]x + y \ge 9[/tex]

From the second statement,

Each week: he spends a max of 12 hours on weights

This is represented as:

[tex]Weight \le 12[/tex]

[tex]y \le 12[/tex]

From the third statement,

Each week: he spends a max of 6 hours on cardio works

This is represented as:

[tex]Cardio \le 6[/tex]

[tex]x \le 6[/tex]

So, the inequalities are:

[tex]x + y \ge 9[/tex]

[tex]y \le 12[/tex]

[tex]x \le 6[/tex]

See attachment for the graph where the solution are also highlighted

From the attachment, the solutions are:

[tex](x_1,y_1) = (0,9)[/tex]

[tex](x_2,y_2) = (6,3)[/tex]

[tex](x_3,y_3) = (6,12)[/tex]

Charlie Does A Weekly Exercise Program Consisting Of Cardiovascular Work And Weight Training. Each Week,

Related Questions

PLEASE HELPPP!!! Use the image to help u out

Answers

Answer:

Nope

Step-by-step explanation:

Linear equation : Y = Mx + C

gradient = M

Y-intercept  = C

To find gradient : (y1 - y2) / (x1 - x2):

(20 - (-25)) / (-4 - 11)

45 / -15 = -3

The given gradient is however 1/3. So The given equation is wrong

What is equivalent to 0 = 2x2 - 16x – 18 when completing the
square?

Answers

Answer:

x = 1

x = -9

Step-by-step explanation:

(2x2 +  16x) -  18  = 0

2x2 + 16x - 18  =   2 • (x2 + 8x - 9)

x2 + 8x - 9

 -9    +    1    =    -8

     -3    +    3    =    0

     -1    +    9    =    8

 2 • (x + 9) • (x - 1)  = 0

2   =  0

x+9 = 0  

x = -9

x-1 = 0

x = 1

x2 + 8x - 9  = 0

  x2+8x = 9

(x+4) • (x+4)  =

 (x+4)2

x2+8x+16 = 25 and

  x2+8x+16 = (x+4)2

(x+4)2 = 25

x = -4 + √ 25

 x2 + 8x - 9 = 0

has two solutions:

 x = -4 + √ 25

  or

 x = -4 - √ 25

           

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

A   =     1

                     B   =    8

                     C   =   -9

B2  -  4AC   =

                    64 - (-36) =

                    100

 -8 ± √ 100

  x  =    —————

                   2

  x  =  ( -8 ± 10) / 2

x =(-8+√100)/2=-4+5= 1.000

or:

x =(-8-√100)/2=-4-5= -9.000

Answer:  x = 1

x = -9

Anthony needs some kitchen
appliances He found a mixer
for $90 and a microwave for
$42 What is the total bill
after adding 8% sales tax?

Answers

$142.56 cuz you add the total which is 90+42=132
Then add 132 + 8% equals 142.56


A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answers

Answer:

the island is 1787.63ft far.

Step-by-step explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft

NEEDED ASAP PLZ!!!!!!!!!

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:

All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey? (5 points)

Group of answer choices

All teachers in the school

All boys in each grade

All students in each grade

All students in the social studies club

Answers

Answer:

All students in each grade

10 Mrs. Randall bought tickets to the art museum for all the fifth-grade students. Each ticket cost $12, and the total cost of the tickets was $1,152. How many fifth-grade students are there?​

Answers

Answer:

Step-by-step explanation:

12s=1152 (divide each side by 12 to isolate s)

s=96

So there were 96 students.

A paint manufacturer wants to determine the average drying time of a new interior wall paint. For n = 50 test areas of equal size he obtained a sample mean drying time of ¯x = 63.3 minutes and a sample standard deviation of s = 8.4 minutes. (a) (5 points) Construct the 95% confidence interval for the true mean µ. (b) (5 points) Suppose the population has a normal distribution, construct the exactly 95% confidence interval for the true mean µ. (c) (5 points) Suppose the population has a normal distribution, construct the 95% prediction interval for a new observation.

Answers

Answer:

a) the 95% confidence interval for the true mean µ is 60.971, 65.629

The exact 95% confidence interval for the true mean µ is 60.971, 65.629

P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95

Step-by-step explanation:

n= 50

x`= 63.3

s= 8.4 minutes

∝= 95%= ±1.96

The formula for calculating the confidence interval is:

x`± ∝ s/√n

Putting the values

x`± 1.96 s/√n

63.3 ± 1.96(8.4/√50)

63.3± 2.3287

60.971, 65.629

a) the 95% confidence interval for the true mean µ is 60.971, 65.629

b) Putting the values

x`± 1.96 s/√n

63.3 ± 1.96(8.4/√50)

63.3± 2.3287

The exact 95% confidence interval for the true mean µ is 60.971, 65.629

c) The prediction level tells that the drying time of the wall from 60.971 to 65.629 minutes must be in the range 95 % of the time.

And is given by

P (x`- ∝ s/√n<u <x`+ ∝ s/√n) = 0.95

Which point is on the graph of y = 4x + 2? A (-2, -5 o B. (-4, -15) C. (4. 18) D. (0.1)​

Answers

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

How much 9% saline solution should be mixed with 80 Cc of a 17% saline solution to produce a 13% saline solution?

Answers

Answer:

80 cc.

Step-by-step explanation:

We work in amounts of salt in the solutions:

0.09x + 0.17*80= 0.13(x+ 80)  where x is the required volume of 9% solution.

0.09x + 13.6 = 0.13x + 10.4

13.6 - 10.4 = 0.13x - 0.09x

3.2 = 0.04x

x = 3.2 / 0.04

x = 80

y=3/2x-9
I need to find the x-intercept and the y-intercept with work plsss

Answers

Hi there!

x-int: (6, 0)

y-int: (0, -9)

y = 3/2x - 9

Begin by finding the x-intercept. The x-intercept is located where y = 0, therefore:

0 = 3/2x - 9

Isolate for x by adding 9 to both sides:

9 = 3/2x

Divide both sides by 3/2x:

9 * 2/3 = x

x = 6. Thus, the x-intercept is at (6, 0).

Find the y-intercept by finding the y-value at which x = 0:

y = 3/2(0) - 9

y = -9. The y-intercept is at (0, -9).

Which expressions represent the statement “three minus the product of seven and four”? Mark all that apply.
A 3 - (7 x 4)
B (7 x 4) - 3
C 3 - (4 / 7)
D 3 - (4 x 7)
E (7 x 4) - 3

Answers

The answer is A and D because as long as it is three minus you can still switch up the multiplication side

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the statement three minus the product of seven and four, this is an expression:

3 - (7 * 4)

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

Find out more on equation at: https://brainly.com/question/2972832

79 1/6% as a fraction

Answers

Answer:

475/6%

Step-by-step explanation:

I hope this helps.

The equivalent fraction of the percentage is A = 47401/600

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the percentage value is given by P

And , the value of P = ( 79 1/6 ) %

We know that 1% is equivalent to 1/100, so we can write:

79 1/6% = 79 + 1/6% = 79 + 1/6 x 1% = 79 + 1/600

Now, we can convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing this over the denominator:

79 + 1/600 = (79 x 600)/600 + 1/600 = 47400/600 + 1/600

Combining these fractions, we get:

79 1/6% = 47401/600

Hence , 79 1/6% as a fraction is 47401/600.

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

Please answer quick just super small explanation pls hurry quick for brainlessly answerr

Answers

Answer:

A

Step-by-step explanation:

2x/√2

2x/√2 x √2/√2 = 2x√2/2

x√2

How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?​

Answers

Don’t click any links ON THIS AP

Evaluate-n, when n=-4

Answers

Answer:

4

Step-by-step explanation:

-n =

-(-4) =

+4 =

4

Hope that helps!

-Sabrina

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Answers

Answer:

5 : 30

Step-by-step explanation:

30/6 = 5

1 * 5 = 5

5 : 30

Hope it helps

Please mark me as the brainliest

Thank you

The answer is 5, pretty simple just divided 30 by 6 which equals 5

A coin is tossed 100 times. WHich portion would you use to find how many times you'd expect the coin to land on heads?

Answers

Answer:

i would use 1/2 because theres 2 sides on a coin and if you flip it 100 times then the probability of it landing on heads is about 50 out of 100

Step-by-step explanation:

1/2 because there are two sides

HELpPppPppPppPpppPppPppppppppppppppppppoopppppoppopppppppppp
Jdjxjjxx

Answers

Answer:

£140

Step-by-step explanation:

First count up the amount of full squares, then you see the partially filled squares and try find the match for it to fill the square. It ends up being 24 squares, meaning 24 square feet. That multiplied by £5, as that is the cost of red wood, gives you the answer of £140

You borrow $1300 to buy a telescope. What is the monthly payment?

Answers

Answer:

it depends on how many months

Step-by-step explanation:

Answer:

for a year i dont understand srry

Can someone please just help me with 1-3 I’ll mark brainliest it’s urgent?

Answers

1. 2 to 356 2:365 2/365
2. 363 to 365 363:365 363/365
3. 363 to 2 363:2 363/2

Answer:

In the instruction above, it gives us some helpful information.

2 days with no professional sports game.

3 forms of ratio --> a to b, a : b, a / b

1) Remember there are 365 days in a year.

Days without games to Days in a year --> 2 to 365

Days without games : Days in a year --> 2 : 365

Days without games / Days in a year --> 2 / 365

2) Now there is a plot twist. It ask days with games. To find that we need to subtract 365 - 2 = 363 days with games.

Days with games to Days in a year --> 363 to 365

Days with games : Days in a year --> 363 : 365

Days with games / Days in a year --> 363 / 365

3) Days with games to Days without games --> 363 to 2

Days with games : Days without games --> 363 : 2

Days with games / Days without games --> 363 / 2

Hope this helps and sorry for not answering you. For some reason I was not getting any notification, but it is fixed now. Thank you :) !!

(Urgent) Worth 10 points 7.3

Answers

Answer:

m∡CBD = 135°

Step-by-step explanation:

m + 3m = 180

4m = 180

m = 180/4

m = 45

angle CBD is 3(45) = 135 degrees

Can someone help with this math problem please

Answers

Answer:

0.40p-20

Step-by-step explanation:

hope this helps.

Which expression is equivalent to 4(5r+9)?

Answers

The answer would be 20r+36

Which is the sum of and 3/10 and 1/3​

Answers

Step-by-step explanation:

sum=addition

3/10 +1/3

find the LCM of 10 and 3 Which is 30

9+10/30=19/30

I hope it helps ☺️

PLssssss help me with this question!!

Answers

Answer: a. equivalent b. not equivalent

c. equivalent d. not equivalent

Step-by-step explanation:

Find the lateral surface area of the figure below. Round the the nearest tenths place.
help please !

Answers

Answer: lateral surface area = 119.4cm^2
r = 2 cm.
h = 9.5 cm.

Steps:
Lateral surface area of a cylinder = 2πrh
r = radius h = height π = pi

2π(2)(9.5)
2π(19)
38π = 119.38052

WEEEEEEEEELLLLLLLLLLLL What is 1+1 :0 too confusion for my 1 braincell

Answers

Answer:

WELLLLLLLLLLLLLLLLLLLLLL it's 11 obviously. (or 2 ;P)

Step-by-step explanation:

i have 1/2 of a braincell :)

Answer:

1 + 1 is 2 BUT

2 + 2 is 5 ILLUMIATI CONFIRMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Can I please have help I will mark brainly est

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

I believe its SQUARE! Cuz it says 4 right angles.....

Hope it helps!

mark me brainliest pls.....

Follow me! :)

The amount that Jimmy paid for his meals the four days, $6.45, $21.38, $1.99, $7.99, $16, $0, $7.99, $18.95, $4.30, $10.35, $18.20. Calculate the median

Answers

Answer:

$7.99

Step-by-step explanation:

Arrange numbers in numerical order: $0, $1.99, $4.30, $6.45, $7.99, $7.99, $10.35, $16, $18.20, $18.95, $21.38.

Count how many numbers you have, 11.

11 is an odd number so, the number in the middle of the data set is the median.

Final answer: $7.99 is the median.

Find the area of the figure shown below and chose the appropriate result

Answers

Answer:

it's the first option or A

Step-by-step explanation:

well 9 * 10 is 90 which leaves you with the numbers 14 and 3 we used 10 so that gives us 4 and 3 multiply those and you get 12 so add 12 to 90 and you get 102 thus the answer is A

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