Using the BMI equation, it is found that weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
The BMI B, for a person of weight w(in pounds) and height h(in inches) is given by:
[tex]BMI = \frac{703w}{h^2}[/tex]
In this problem:
Height of 70 inches, hence [tex]h = 70[/tex].For a BMI of 20 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]20 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{20 \times 70^2}{703}[/tex]
[tex]w = 139.4[/tex]
For a BMI of 28 inches, the weight is:
[tex]BMI = \frac{703w}{h^2}[/tex]
[tex]28 = \frac{703w}{70^2}[/tex]
[tex]w = \frac{28 \times 70^2}{703}[/tex]
[tex]w = 195.2[/tex]
Weights between 139.4 and 195.2 pounds will keep his BMI between 20 and 28.
To learn more about the BMI, you can take a look at https://brainly.com/question/24457127
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm has a mass of 200g. Find the formula which connects the mass M g, the area A cm2 and the thickness 1mm. Hence find the mass of a piece of metal of area 400 cm2 and thickness 3mm
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
M ∝ ATRemoving the proportionality sign,
M = KATWhere:
K = constant of proportionality.make K the subject of the equation:
K = M/KT.................... Equation 1From the question,
Given:
M = 200 gA = 250 cm²T = 1 mm = 0.1 cmSusbtitute into equation 1
K = 200/(250×0.1)K = 8 g/cm³Formula:
M = 8AT................. equation 2Hence the formula of the relation is M = 8AT
If,
A = 400 cm²T = 3 mm = 0.3Substitute these values into equation 2
M = 8(400)(0.3)M = 960 gHence, the mass of the metal sheet is 960 g
Learn more about joint variation here: https://brainly.com/question/26047253
Find the equation, in standard form, of the line parallel to y=-1/5x+7 and passing through the point (-10,-3).
Show work for brainliest!
ANSWER:
y= -1/5x - 5
Since it is parallel, that means that the slope (-1/5x) is the same.
Since it is passing through the point (-10, 3), substitute the numbers in for x and y which means: -3= -1/5*(-10) + b
b stands for the new y-intercept
do the equation, and you should get the answer above!
The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?
Answer:
Hayes family: 35 hoursRodrigues family: 40 hoursStep-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
The number of students in the class, n ≥ 9Learn more about data frequency here:
https://brainly.com/question/14298164
Divide 3/8 divided by 2/3 and express the answer in the simplest terms.
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
pls help me, pls pls plss help
Answer:
1. given
2. inscribed circle theorem
3. substitution
4. definition of congruent angles
help me plsssssssssssssssss
Answer:
D
Step-by-step explanation:
Given that the starting population is 150 wolves, let the time when there will 25 wolves left be x, then
The increase in the number of wolves due to births is given by 150(1 + 0.15)^t = 150(1.15)^t
The decrease in the number of wolves due to dirths is given by 150(1 - 0.37)^t = 150(0.63)^t.
The number of wolves at time t is given by 150(1.15)^t - 150(0.63)^t = 150((1.15)^t - (0.63)^t).
Therefore, the function that could be used to predict when there will be 25 wolves in this group is 150((1.15)^t - (0.63)^t) = 25. (option D).
The sales tax rate is 8% how much money is 8% of $14
Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I
Answer:
20+h = 46
Step-by-step explanation:
it doesn't ask to solve it so that's the answer
Answer :-
[tex]20 + h = 46[/tex]• 46 is the sum of 20 and Han's savings. .
So here Question tell that 46 is the sum of Han's Saving .Then it says that to write the equation in this sentence .
• Use the variable h to represent Han's savings.
So 20 and h = 20 + h = 46 .Hope this helps you !!A2 + B2
Best answer gets a brainliest and thank and 5 star
Answer:
a+b)(a-b)
(Step-by-step explanation:
Choose a way to solve.
Write or draw to explain.
2. Greg has Il shirts.
3 have long sleeves.
The rest have short sleeves.
How many short-sleeve
shirts does Greg have?
Help please! Thank you in advance!!
Answer:
8 short sleeve shirts
Step-by-step explanation:
Subtract the total amount of of shirts by the number of shirts with long sleeves to find your answer.
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she can ride in this taxi ? Happy Holiday ´ s...
Answer:13
Step-by-step explanation:
37-3.5=33.5
33.5/2.5=13.4
since it ask for the whole number, it will be 13
A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.
Answer:
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing (type an inte...
If f(x) and g(x) are inverse functions, find f(g(x)).
A)
-1
B)
0
C)
1
D)
х
Answer:
x.
Step-by-step explanation:
f(g(x)) = x.
I need some help plsssss
Answer:
(6, - 5 )
Step-by-step explanation:
The parabola is symmetrical about x = 4
The point (2, - 5 ) is 2 units to the left of x = 4 ,then
the point 2 units to the right of x = 4 is (6, - 5 )
The impact on sampling of increasing the sample size is: There is no specific relationship between sample size and sampling error.
Using margin of error, it is found that increasing the sample size results in a smaller sampling error.
The equation for the margin of error is given by:
[tex]M = c\frac{s}{\sqrt{n}}[/tex]
In which:
c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.
To learn more about margin of error, you can take a look at https://brainly.com/question/25821952
Carson bought 50 pounds of rice for his restaurant. He cooked the rice and wanted to evenly divide it into 9 containers to be served later. How many pounds of rice should Carson put in each container?
help plss
Answer:
Step-by-step explanation: there you go
A projectile is thrown upward so that its distance above the ground after t seconds is h = -156 + 510t. What is its maximum height?
For the parabola:
h(t) = -at2 + bt, the maximum occurs at -b/2a
For h(t) = -16t2 + 576t that is -576/(-2)(-16), or -576/32, or 18.
The projectile is at its highest point at 18 seconds.
Suppose you receive a shipment of 29 engines, two of which are defective. What is the probability of picking a sample of 4 engines with two bad engines in it? (Round approximations to the nearest thousandth.)
Answer:
0.4%
Step-by-step explanation:
2 are defective and 27 are good out of 29. Chance of picking 1 defective is 2/29 or .069. Chance of picking good is 27/29 or .931.
2 good and 2 bad is
.931 * .931 * .069 * .069 = .004
There is a 0.4 % chance of 2 bad.
Suppose that sin a= 15/17 and 90 degrees
Which triangle is a 30°-60°-90° triangle?
Answer:
-90
Step-by-step explanation:
it's right
Answer:
The first one.
Step-by-step explanation:
I took the quiz and got a 100, hope this helps :))
Approximately what portion of the circle is shaded blue?
Answer: C. (1/6)
Step-by-step explanation: If you split the circle in half horizontally, the top part would be 1/3 and the bottom part would be 3/3. 1/3 + 3/3 = 4/6 and 4/6 simplified is 1/6.
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
Answer:
The answer is A
Step-by-step explanation:
This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer.
You have 7 numbers
3 of them are positive which means greater than 0. Let's pick them
3 4 5 = 60
That part's easy. Those 3 numbers give a plus result.
Now try the other 4 numbers
-3 - 2 - 1 - 4
Do you see what's going to happen. You have -3 * - 2 = 6
then you get - 1 * - 4 = 4
All of a sudden you get a positive result 6 * 4 = 24
60 * 24 = 1440
So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Answer:
a) positive
Step-by-step explanation:
If 3 of the 7 numbers are positive, the other 4 are negative. The product of an even number of negative factors is positive. The product of any number of positive factors is positive.
The product is positive.
Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5
Therefore, the solved inequality is z > -4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
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i have 4,757 points!
ILL GIVE CROWN, STARS, and HEARTS if you answer correctly!
Problem:
6.02 Quiz: One-Step Multiplication or Division Inequalities
On k12
PLEASE ANSWER THEM ALL! VERY LEAST IS ALL YOU KNOW BUT PLEASE DO ALL, AMD CORRECTLY FOR CROWN!
Answer: m>-50
x<=3 3/4
at point -2.1 3rd arrow
at 1.33 4th arrow
at 4 2nd arrow
Step-by-step explanation:
(5x + 3) + (9x + 5)
Help!!!!!!!
help please
No links
Answer:
62-0.75x8
Step-by-step explanation
$6=discount
8 tickets
Total=62.00
0.75 multiplied by 8= 6
62-6=56
56 is before the discount
Equation would be 62-0.75x8