Answer:
1) 43/10
3) p = kt/v
4) C
1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
[tex]\rm d\times w = constant[/tex]
JB who weighs 50 kg sits 3 feet from the fulcrum.
Distance of JP from the fulcrum in order to balance with JB if he weighs 35 kg?
[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]
So JP must sit at a distance of about 4.28 feet from the fulcrum
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is reading.
A. write the variation equation
let the number of pages read by Ethan be p
let the number of hours he is reading be h
According to the given situation
[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]
B . According to the given condition
[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]
hence the constant of proportionality c = 1.5
So let us consider he reads p' pages in 21 minutes
[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to its volume.
A. Write the variation equation.
Let P = Pressure , V = Volume and T = Temperature
The equation is
[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]
B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?
Since the temperature is doubled and volume is halved so putting 2T and and volume V/2 in equation (3.1) we get
[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]
So the values of new pressure become 4 times the value.
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.
It seems that Question 4 has an ambiguity since the equation y = k ma
does not signifies any of the option
For more information please refer to the link given below
https://brainly.com/question/17948320
Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2
Answer: B. 254.34 cm^2
Step-by-step explanation:
The area of a circle is pi times the radius squared.
Using the diameter we have to find the radius.
The diameter is two times the radius meaning that the radius is half the diameter.
18/ 2 = 9
The radius will be 9 cm
Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume
v = 3.14 * 9^2
v= 3.14 * 81
v = 254.34 cm^2
Answer:
The answer would be B) 254.34 cm2
Step-by-step explanation:
Helppppp this is really hard
Answer:
0 is the right answer.Step-by-step explanation:
[tex]y = {(x + 7)}^{3} + 4 \\ [/tex]
There are no real zero in the equation.
RATEE MEEE!?!!!!!!>???????????????????????!!!!!!!!!!!!!!!
Answer:
100/10 bbg ;)
Step-by-step explanation:
i forgot the name of the show but ykk
Please help me I need help number three 17 points for all work shown.
Answer:
15%Step-by-step explanation:
Actual number = 172Estimated number = 198Error:
198 - 172 = 26Percent error:
26/172*100% = 15% rounded to the whole numberStep-by-step explanation:
[tex]\% \: error = \frac{198 - 172}{172} \times 100 \\ = \frac{26}{172} \times 100 \\ = 15\%[/tex]
15%(approx) is the right answer.What is the smallest rotational symmetry of a rhombus?
which of these is expression is equivalent to z+z+z+z
Answer:
4z
Step-by-step explanation:
Answer:
4z
Step-by-step explanation:
z + z + z + z
~Combine like terms
4z
Best of Luck!
a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?
Answer:
porcupine
Step-by-step explanation:
6300g = 6.3 kg
Step-by-step explanation:
the porcupine has more mass
HELP THIS IS DUE TODAY
A teacher surveys a sample of students from lake middle school. He asks the students where they’d like to go for a field trip. He records the results:
80 choose the aquarium
60 choose the science center
30 choose the planetarium
40 choose the farm
2. What is the relative frequency of a student choosing the aquarium? Give your answer as a decimal rounded to the nearest hundredth.
Answer:
210 students
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
What is (64x^2y^3)-1/2 as radical expression?
Answer:
[tex] \frac{1}{8xy \sqrt{y} } [/tex]
Step-by-step explanation:
[tex](64 {x}^{2} {y}^{3} )^{ - \frac{ 1 }{2} } \\ \\ = \frac{1}{(64 {x}^{2} {y}^{3} )^{\frac{ 1 }{2} } } \\ \\ = \frac{1}{ \sqrt{64 {x}^{2} {y}^{3}} } \\ \\ = \frac{1}{ \sqrt{ {(8xy)}^{2} y} } \\ \\ = \frac{1}{8xy \sqrt{y} } [/tex]
Identify The coefficients and constants of the expression 6n+8
Which number is a factor of 24 but not a multiple of 12
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
I hope it's right uwuwuwu
8 feet in 15 seconds; 16 feet in 40 seconds
does this rate form a proportion?
Answer:
no
Step-by-step explanation:
8 ft in 15 sec
16 ft in 40 sec
8 is obviuosly half of 16, so to make it proportional it would have to be 16 ft 30secs
What are the answers to the last two questions?
Answer:
Thanks for the points :3
What is the surface area of the cylinder with height 5 yd and radius 7 yd?
Answer:
168*pi square yards.
Step-by-step explanation:
So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.
The area of the column is the height x perimeter of the circle
and
The area of the circles is pi x radius^2
Just add all of those up.
Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi
2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi
Sum: 70*pi + 98*pi = 168* pi
Express in the form
n:1
.
Give n as a fully simplified fraction.
8:6
Answer:
4/3 : 1
Step-by-step explanation:
Here, we want to express 8:6 in the form n:1
All we have to do is to divide both ratio sides by 6
That would be;
8/6 : 6/6
= 4/3:1
Describe the slope of the line
Find the slope.
m =
Answer:
m = -3/5
Step-by-step explanation:
Since the line is going downwards towards the right, it is a negative slope.
We can use the points to solve for the slope.
m = -2 - 1 / 2 - (-3)
m = -2 - 1 / 2 + 3
m = -3/5
Therefore, the slope is -3/5.
What do 5.75 and 8.75 have in common
They both end in .75
Please help me vote brinlest
Answer:
14 > 6
Step-by-step explanation:
because if the second half of the equation is the same, but the first half is different, look for the equation that starts with the larger number
Ryan works at a cell phone store Monday to Friday. He earns $80
per day plus $8
per phone sold. On Tuesday, Ryan makes at least $176.
Hurry up pls
Answer:
If you are asking how many phones he sold Tuesday he sold 12
Step-by-step explanation:
you subtract 80 from 176 then you get 96 and divide that by 8 to get 12 phones
n-17 = 24
Step to step
Answer: 41
Step-by-step explanation: Add 24 plus 17
Which expressions are in their simplest form? Check all that apply.
Answer:
The first one is the only one in simplest form.
Answer: this is answerrrr
A C Dpeace
John has a jar of between 500 and 600 coins that are all nickels, dimes and quarters. The ration of the number of quarters to dimes is 8 : 5 and the ratio of the number of dimes to the number of nickels is 6 : 11. What is the total value of the Money in john’s jar of coins?
Poooooooooooooooooooop
A video store charges $15 for a rental card plus $1.50 per rental. Write a linear equation in
slope-intercept form to model the situation.
Answer:
15 + 1.50x
Step-by-step explanation:
pls guys help me
The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is
119.
129.
135.
145.
A recent poll suggests that 47% of American citizens are going to vote for candidate B
for president with a tolerance of 4.5%. Set up and solve an absolute value inequality to
determine the range of possible percentages the candidate could earn. (also add
step by step explanation
Answer:
Steps: 1) Isolate the absolute value on the LEFT Side of the equation ... 12) A recent poll suggests that 47% of American citizens are going to vote for the ... margin of error of £4.5%. Set up and solve an absolute value inequality to determine the range of possible ... determine if the Democratic candidate will win the election?
Step-by-step explanation:
The percentages candidate could earn falls in the range of absolute value inequality |47 - x| ≤ 4.5.
What is Absolute Value Inequality?Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.
For example : |x - 5| < 4 is an absolute value inequality.
Given that,
Percentage of American citizens going to vote for candidate B = 47%
Tolerance level = 4.5%
Suppose x be the percent of voters who will vote for candidate B.
Value of x can be,
47% + 4.5% = 51.5%
Or,
47% - 4.5% = 42.5%
The absolute value inequality for the situation is,
|47 - x| ≤ 4.5
Hence the absolute value inequality is |47 - x| ≤ 4.5.
To learn more Absolute Value Inequality, click on the link :
https://brainly.com/question/30201926
#SPJ2
Is (-10, 10) a solution to this system of equations?
18x + 20y = 20
20x – 2y = 9
yes
no
Answer:
No
(The first system is correct but the second one is wrong)
Step-by-step explanation:
You can plug (-10,10) into these equations
a) 18(-10)+20(10)=20
-180+200=20
20=20
b) 20(-10)-2(10)=9
-200-20≠9
-220≠9
Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b
Answer:
b=-4
Step-by-step explanation:
basically divide both sides by 14 which equal -4
The solution to the equation 14b = -56 is b = -4.
To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.
14b ÷ 14 = -56 ÷ 14
Simplifying:
b = -56 ÷ 14
b = -4
Therefore, the solution to the equation 14b = -56 is b = -4.
To know more about equation, refer here:
https://brainly.com/question/14506845
#SPJ6
jenny goes to the shop she buys
. three cups for £1.24 each
.three saucers for 95p each
. a teapot for £6.18
jenny has £20 to spend she also wants to but some plates, which are £1.57 each.
what is the greatest number of plates jenny she can buy
Answer:
5
Step-by-step explanation:
1.24 times 3 = 3.72
.95 (the value of pence to a pound in decimal form) = 2.85
6.18 for the teapot
2.72+2.85+6.18=11.75
She now has £8.25 left (20-11.75).
8.25/1.57=the amount of plates she can buy: 5.25477707006, so 5 with some money left
Simplify the expression in e^5
Answer:
Step-by-step explanation:
ok im not sure if this is it but 148.41315910
Answer:
148.4
Step-by-step explanation:
Estimate the product/quotation of the problem below
724÷87
