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Darren is training for a triathlon. Each week, he goes to the gym for a maximum of 20 hours. He spends at least 8 of those hours weightlifting (x). He wants to spend no more than 15 hours doing cardio exercises (y). Write a system of linear inequalities that represents the restrictions of this scenario.
Answers
The graph of the equations was plotted using geogebra graphing and attached.
Let x represent the hours weightlifting and y represent the hours doing cardio exercises.
Since he spend a maximum of 20 hours, hence:
x + y ≤ 20 (1)
Also, he spends at least 8 of those hours weightlifting, hence:
x ≥ 8 (2)
He wants to spend no more than 15 hours doing cardio exercises, this is:
y ≤ 15 (3)
The graph of the equations was plotted using geogebra graphing and attached.
Find out more at: https://brainly.com/question/17178834
Related Questions
Simplify: |7 – 9| + (7 – 9)^2
Answers
Answer:
6
Step-by-step explanation:
Following PEMDAS ( parentheses, exponents, multiplication, division, addition, subtraction)
| 7 - 9 | + ( 7 - 9 ) ^ 2
| 7 - 9 | + -2 ^ 2
| 7 - 9 | + ( -2 x -2 )
| 7 - 9 | + 4
| -2 | + 4
2 + 4
6
write the equation of the line perpendicular to the given line y= -2/3 x + 1
Answers
since the equation of the line passing through the given point is perpendicular to the given line(m2= -1/m1)
using the formula y=mx+c
y=2/3x +1
m1=2/3
m2= -1/2/3
m2= -3/2
the slope of the second line is -3/2 and it passes through the point(3,-2)
using the formula y-y1 = m(x-x1)
y-(-2)= -3/2(x-3)
y+2= -3/2(x-3)
multiply both sides by 2
2(y+2) = -3(x-3)
2y+4 = -3x+9
2y = -3x+5
y= -3/2x + 5/2
What is an equation of the line that passes through the points (2,6) and (1, 1)?
Answers
Answer: y=5x+b
Step-by-step explanation:
I used the slope intercept equation, which supplied me the solution.
m=5
b=0
simply the following expression
Answers
Answer:
C.
x^8 / y^28 z^20
Step-by-step explanation:
Answer: c
Step-by-step explanation:
= [tex](\frac{y^{7} z^{5} }{x^{2} } )^{-4}[/tex]
[tex]= (\frac{x^{2} }{y^{7} z^{5} } )^{4}[/tex]
[tex]= \frac{x^{8} }{y^{28} z^{20} }[/tex]
please give me a brainliest answer
This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
Two numbers are given.
64 and 80
What is the greatest common factor of these two numbers?
Answers
Answer:
16
Step-by-step explanation:
The greatest common factor is the greatest integer which divides evenly into both numbers. One way to find this is to list all of the divisors of one of the numbers, and then select the biggest of those that divides evenly into the other number, and that number is the greatest common factor.
We start with 64.
Its divisors are 1, 2, 4, 8, 16, 32, 64. The biggest of those numbers which divides evenly into 80 is 16.
Thus, the greatest common factor is 16.
Problem:
−(−8y−6.6z−10)
Please help me if possible!
Answers
Anyone know thiss?I need helpppp!!
Answers
Answer:
5)
V= 1,-4
S) x=1
Min= 1,-4
zeros= (-1,0)(3,0)
6)
V= -2,0
S= x=-2
min= -2,0
zeros= -2,0
Subtract 2y - 3 from 8y-2.
Answers
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
Dalawang batong itim
Answers
Sa tabi mo.
[tex] \: \: [/tex]
Step-by-step explanation:
I havenot understand queation
An isosceles triangle is shown. Which two angles must be congruent? A) ∠H ≅ ∠J B) ∠I ≅ ∠J C) ∠I ≅ ∠H D) Cannot be determined
Answers
Answer:
If the triangle has a flat bottom and a pointy top the bottom two angles are congruent
carol's father was 24 years old when carol was born, now he is 4 times as old a carol how old is carol
Answers
Answer:
24 - 24 = 0 (carols age past tense)
24 x 4 = 96
96 - 24 = 72 (present tense)
carol is now 72 yr
1. Find the product of 4 X 2 X 3 two different ways.
Answers
Answer:
6 x 4
8 x 3
The product: 24
Hope This Helps! •v•
Step-by-step explanation:
Answer:
6 x 4
8 x 3
The product: 24 K12 is how i know thx bye! :D
Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?
Answers
Answer:
47%
Step-by-step explanation:
.375 × .125 = .046875
rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.
move the decimal three digits to the left and you get, 47%.
Hope this helps brainlest? please
Pablo's family began their trip with a full tank of gas in their car. They drove 384.1 miles and
stopped to fill their tank back up with gas. It took 14.2 gallons of gas to fill up their tank.
About how many miles per gallon of gasoline did they average on their trip?
Answers
Work Shown:
(384.1 miles)/(14.2 gallons) = (384.1)/(14.2) mpg = 27.049 mpg approximately
mpg = miles per gallon
Answer:
27.05 miles per gallon
Step-by-step explanation:
384.1 miles = 14.2 gallons
x = 1 gallon
14.2x = 384.1
x = 384.1/14.2
= 27.0492958
≈ 27.05 miles per gallon
Hope this helps and be sure to have a wonderful time at Brainly! :D
Tabitha sent 22 text messages every day for 7 days. How many messages did she send total?
154 messages
176 messages
164 messages
144 messages
Answers
She sent 154 messages
Answer:
the answer is 154
Step-by-step explanation:
22x7=154
A number is first increased by 20 and then doubled. The result is less than 5 times the number
Answers
Answer:
25=x
Step-by-step explanation:
2x+20=3x-5 (x=25)
A car is traveling at a rate of 72 miles per hour. What is the car's rate in feet per second? How many feet will the car travel in 2 seconds? In your computations,
use the fact that I mile is equal to 5280 feet. Do not round your answers,
Answers
Answer:
The rate of travel is 105.6 feet per second, so 211.2 feet could be travelled in 2 seconds.
Step-by-step explanation:
If you take 5280 times 72 it equals 380160 which is the total amount of feet travelled in an hour so you divide it by 60 giving you 6336 which is the total feet travelled in 1 minute and you divide it 1 more time to get 105.6 which is the total feet travelled in 1 second. Hope this helps!
Solve 2x-5<5x-22 show steps
Answers
100- 58.90 is equal to what
Answers
Answer:
41.1
Step-by-step explanation:
use calculator
Find the slope of the line that passes through (3, 6) and (7, 7).
Answers
Answer:
0.25
Step-by-step explanation:
do y2-y1 divided by x2-x1
Answer:
1/4
Step-by-step explanation:
[tex]m=\frac{7-6}{7-3} =\frac{1}{4}[/tex]
I hope this help you
Which of the following statements must be true based on the diagram below? Select all that apply.( diagram not to scale)
Answers
ST is an angle of bisector
yall... help pls this is hard
Answers
Answer:
First one Or Last. I think the last one though
Step-by-step explanation:
I need help on the one about slope
Answers
If you divide -1/2 and then 4/1 you will get -5/1 or also known as -5
Solve for B
A=3B+4C
B=?
Answers
Answer:
[tex]3b + 4c = a[/tex]
[tex]3b = a - 4c[/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]
Step-by-step explanation:
Thanks!!!!!
Evaluate the expressions 2(8-4)
Answers
Answer:
8
Step-by-step explanation:
2(8-4)
PEMDAS says parentheses first
2 * (4)
Then multiply
8
Answer:
8
Step-by-step explanation:
2(8-4)
2(4)
8
Is the point (8,7) inside or outside the circle defined by the equation x² + y = 100 ?
Answers
5 hours 15 min + 3 hours 33 min
show the working as well
Answers
Answer:
8 hours 48 mins
Step-by-step explanation:
h m
5:15
+3:33
--------------
8:48
or
5 hours + 3 hours =8 hours,
15 mins + 33 mins = 48 mins
Therefore, it's 8 hours 48 mins.
Step-by-step explanation:
We calculate hours by hours and minutes by minutes :)
5 hours 15 min + 3 hours 33 min
⇒ 5 hours + 3 hours = 8 hours
⇒ 15 min + 33 min = 48 min
how do i solve this??
Answers
Answer:
128º
Step-by-step explanation:
You just add the two angles together
<GFE=<KFE+<GFK
<GFE=100+28
<GFE=128
abe purchased a candle at the candle store. The candle is 9 inches long and the packaging started the candle burns down at the rate of 1/2 an inch per hour.
If abe lit the candle and let it burn. How long would the candle be after 5 hours
Show how you figured it out
Answers
Answer:
6.5 Inches in 5 hours.
Step-by-step explanation:
1. 0.5 * 5 = 2.5
2. 9 - 2.5 = 6.5
Therefore after 5 hour's, the candle will be 6.5 inches that duration
(hope this helps!)
why did j ernest wilkins jr was the first to do something significant in math
Answers
Answer:
guess hes just smart
Step-by-step explanation:
