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.
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]
What is the product?
An experiment consists of spinning the spinner once. a: Find the probability of landing on a 2. b: find the probability of landing on a 1. c: Is landing in each section of the spinner equally likely to occur? Explain.
Answer:
points
Step-by-step explanation:
A farmer had two different sized rectangular gardens the smaller garden has. Alr the of 24 feet and width of 9 feet what is the area in square feet of the smaller garden
the u.s. landfill contained a total of 200 million tons of trash how many more million tons of trash has been paper than Rubber and leather?
Answer:
9,160,000 tons
A painting crew reported that a job is 35
3
5
completed. What fraction of the job remains to be done?
Answer:
2/5 remaining
Step-by-step explanation:
If a job is 35 and 3/5 was completed, 3/5 of 35 = 21
That is 35 - 21 = 14
The fraction of the job remaining to be done will then be 14/35 = 2/5
if 4x=60 what is the value of x?
Step-by-step explanation:
if 4x = 60
Then
x = 60 / 4
x = 15
Hope it will help :)❤
Use the information to answer the following questions.
Jocelyn and Kari’s math quiz scores are shown.
Jocelyn: 86, 87, 95, 72, 78, 80
Kari: 88, 78, 93, 81, 75, 92
Activity 1 of 2
Part A: Based on the samples, which student generally has higher quiz scores?
A.
Kari, because the mean and median of her scores is 84.5.
B.
Kari, because the range of her scores is 18.
C.
Jocelyn, because the interquartile range of her scores is 9.
D.
Jocelyn, because she had a maximum score of 95.
Activity 2 of 2
Part B: Suppose both girls got a 90% on their next math quiz. Which student will see a greater increase in her overall math grade?
A.
Jocelyn, because her grade will increase by 1 point.
B.
Kari, because her grade will increase by 0.8 points.
C.
Kari, because her grade will increase to 85.3.
D.
Jocelyn, because her grade will increase to 84.
Answer:
A
Step-by-step explanation:
Part A, A. Kari, because the mean and median of her scores is, 84.5.
Part B, Jocely will see a greater increase overall as her previous average is less.
What are mean, median, and mode?The three main methods for identifying the average value of a set of integers are mean, median, and mode.
Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.
The middle value in a list that is arranged from smallest to greatest is called the median.
The value that appears the most frequently on the list is the mode.
From the given information, The average score of Jocelyn is,
= (86 + 87 + 95 + 72 + 78 + 80)/6.
= 83.
And Similarly, The average score Kari is,
= (88 + 78 + 93 + 81 + 75 + 91)/6.
= 84.5.
Therefore, Kari scores better overall.
If they both get 90% on their next math quiz Jocely will see a greater increase overall as her previous average is less.
learn more about mean here :
https://brainly.com/question/30112112
#SPJ3
Which number line shows the solution to the inequality?
Answer:
C
Step-by-step explanation:
I was taking the test and finished an hour ago
LOTS OF POINTS IF U ANSWER
A 30-ounce jar of peanut butter costs $6.00. A 40-
ounce jar costs $7.20. Which jar of peanut butter is
cheaper per ounce? Be sure to justify your reasoning
and SHOW your WORK.
Answer:
The 40 ounce jar is cheaper
Step-by-step explanation:
how i did this was divide 6.00 by 30 to get 0.2 cents per ounce then 7.20 divided by 40 to get 0.18 cents per ounce so the 40 ounce jar would be cheaper, hope this helps.
Can someone pease help me with this picture inserted
Answer:
9.56 inchesStep-by-step explanation:
the scale factor is 0.8:20
since the line is 239 miles long, divide by 20
239/20 = 11.95
multiply by 0.8
11.95 x 0.8 = 9.56
It’s Due in 5mins! HELPPPPP
A rectangular room is 9 feet long and 14 feet wide. The perimeter of the room is
feet.
Answer:
48 ft
Step-by-step explanation:
this is because the perimeter of the room is its sides so first you 9x2=18
then 14x 2= 28 and then 28 + 18 and you get 48 ft
The probability of spinning an odd number on a spinner is 62 percent. If you spin 100 times, how many times would you expect it to land on an odd number?
Answer:
The spinner will land 1 three times out of every Eight
Step-by-step explanation:
Answer:
62 times
Step-by-step explanation:
if the probability is 62/100 then u get an odd num 62 times out of every 100
Solve for x and y in the triangle below
Answer:
y=3.75
x=9.6
Step-by-step explanation:
IXL 6th grade FF.1
Im having truoble need some hellllllpppp!!?!!!
Pleas..
Answer:
p=5
Step-by-step explanation:
if 5+3 = 8
13-8=5
and both sides of the triangle need to be the same
Answer:
its 5
Step-by-step explanation:
5 + 3 + p = 13
p=5
25% of ⅛ in percent
Answer:
0.0003125%
Step-by-step explanation:
What is the prime factorization of 84?
A. 2•3•7
B. 3•4•7
C. 2•2•21
D. 2•2•3•7
Answer:
D. 2•2•3•7
Step-by-step explanation:
The rover weighs 1,025 kg. and the average car weighs 1,325 kg. What is the difference?
Answer:
There would be a difference of 300 kg.
Step-by-step explanation:
If you do 1,325 minus 1,025, you would get the answer of 300 kg.
A quality control engineer Is interested in the mean length of sheet insulation being cut automatically by machine. It is known that the standard deviation in the cutting length that this machine produces is 0.15 feet. A sample of 70 cut sheets yields a mean length of 12.14 feet. This sample will be used to obtain a confidence interval for the mean length cut by machine. Referring to problem statement, the Z value to use in obtaining the 99% confidence interval is approximately .A.1.645B. 1.96C.3.23D.2.58
Answer:
D.2.58
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.58.
The answer is given by option D.
The question about btw if answer correctly I’ll give brainalist + 10 points this is half my grade so please be truthful in your work
Answer:
ur correct it's A. trust me u look up all the definitions to the other than A. they gonna be wrong already looked em all up
1 Find the area of the shaded region in the figure below. Show your work or explain your steps below.
16 cm
10 cm
6 cm
12 cm
Answer:
66 cm²Step-by-step explanation:
Shaded region (blue) is the difference of areas of big and small triangles
A = 1/2(16*12 - 10*6) = 66 cm²The answer options are incorrect
Answer:
area of shaded region =
= area of greater( TRAINGLE -smaller TRAINGLE )
=1/2×12×16-1/2×10×6
=6×16-5×6
=96-30
=66cm²
is your answer.
a botanist estimated that a maple tree grows 0.24 ft per month. Write a reduced fraction that is equivalent to this amount
Answer:
[tex]\frac{6\\}{25}[/tex]
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x >_ 1
Step-by-step explanation:
Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!
(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)
8 + 4x >_ 12
-8 -8
4x >_ 4
/4 /4
x >_ 1
I need help quick !!!!!!!!!!!!!!!!!!!!!!
Answer:
192ft squared. But remember it says don't put the square feet so just type in: 192.
Step-by-step explanation:
The top triangle is 42 ft squared.
The rectangle below it is 150 feet squared.
You add them together and get 192 ft squared hope this helps!
Coach Henderson had 16 gallons of paint. He used an equal amount of the paint each of 5 days. How many gallons of paint did he use each day?
A.
5
16
B.
1
6
5
C.
3
1
5
D.
3
1
16
Answer:
C
Step-by-step explanation:
I just did the test
Answer:
its c
Step-by-step explanation:
Find the value of x in the triangle shown below
X=?
Answer:
you can use :
cos(X) = ( 5^2 + 6.9^2-5^2) / (2*5*6.9)
use caculator shift cos of this
Find the side of a square whose diagonal measures 15 square root of 2
Answer: 15 units .
__________________________________________________
In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" forming is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "15√2" is the hypotenuse" ; and we are given that this is a right triangle of a square with a diagonal length (i.e. "hypotenuse" of "15√2" ; so the measure of the side of the "square" (and other two sides of the triangle formed) is: 15 units. (i.e., 15, 15, 15√2 ).
What is 6/11 in decimal form, to the nearest thousandth
Answer:
0.006
Step-by-step explanation:
Answer:
Explanation:
611 or 6÷11=0.545454545....
The hundredth position is two positions to the right of the decimal point. For this problem it is the 4:
0.545454545....
To round to the nearest hundredth you must look at the digit in the position immediately to the right of the digit in the hundredth place, which is the 5 in the thousandth place:
0.545454545....
If the digit to the right is greater than or equal to 5 you add 1 to the digit you are rounding to and make everything to the right 0.
If the digit to the right is less than 5 you add keep the digit you are rounding to the same and make everything to the right 0.
In this problem the digit to the right is a 5 so we add 1 to the digit we are rounding to and make everything to the right 0.
0.545454545....=0.550000000....=0.55
What is 0.9 divide by 2.647
Answer:
0.340007556
Step-by-step explanation:
its correct