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
Consider the following 8 numbers, where one labelled x is unknown.
41, 13, 15, X, 46, 46, 23, 12
Given that the range of the numbers is 53,
Answer:
X = 65.
Step-by-step explanation:
The range is the greatest number - least, so we have:
X - 12 = 53
X = 53 + 12 = 65.
Answer:
I think x=65
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
how many feet are in 2 miles 300 feet?
A fence post is 12 feet tall. A chain is attached to the top of the fence post and fastened to the ground 9 feet from the base of the fence post. What is the length of the chain?
Answer:
15 feet
Step-by-step explanation:
Use the Pythagorean theorem which is a^2 + b^2 = c^2
a and b represents the legs of the triangle
c represents the hypotenuse (which is the chain)
Answer: 15ft chain length
Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom
12^2+9^2=c^2
225=c^2
15=c
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Answer:
Step-by-step explanation:
A right cylinder has a diagonal length of 37 and a total surface area of 492.
What is the height of the cylinder?
A. 35
B. 42
C. 25
D. 17
E. 32
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
PLEASE HELP WILL GIVE 30 POINTS
The data set shows the ages of guests on a recent tour of a museum: 34, 18, 29, 60, 44, 51, 65, 68.
A. What is the five-number summary of the data? Show your work.
B. How could the museum curator use this information to improve sales at the gift shop?
I already did part A I just need help on part B
The five-number summary is
Min: 18 Max: 68 Median: 47.5
Q1: 31.5 Q3:62.5
he can use the information to put stuff on sale so more people will come and he can make more money
Step-by-step explanation:
Gabriella went shopping for a new video game. The listed price of the video game was $47, but the price with tax came to $51.23. Find the percent sales tax.
Answer:
The anser is 9
Step-by-step explanation:
HELP WILL MARK BRANNIEST!
Answer:
up all the way right all the way down allthe way
Step-by-step explanation:
Ramona has a bag that contains candies of the same size and shape. There are 5 green candies, 4 orange candies and 3 yellow candies. She draws a candy at random, replaces it, and then draws a second candy. What is the probability that both candies will be orange?
Answer:
the answer is 1/3
Step-by-step explanation:
Larry bought a lawn ornament that was marked down 60% from an original price of $75. If he paid 10% sales tax, what was the total cost of the lawn ornament?
Answer:
$33
Step-by-step explanation:
Hope this helps!
Please i really need help
Absolute value is basically:
A. A number's distance from 0 on a number line
B. The greatest number on a number line
Answer:
A because absolute value doesn't change the actual value of the number, just makes it positive no matter what, but it's still the same distance from 0, just in the opposite direction.
Step-by-step explanation:
Answer:
A : a number distance form 0n the number line
Step-by-step explanation:
ex: if you want to find the absolute value of -4 you would look at the distance from zero so it would be 4 from zero so the absolute of -4 is 4
Reese claims that if 60% of the registered voters cast 273,600 votes, there would be fewer registered voters than above. Is he correct? Why or why not?
Answer:
Number of registered voters is less then the votes counted.
Step-by-step explanation:
From the question it is given that
total numbers of votes counted = v = 273600
percent of voters cast = 60% = 0.60
Let r be the total number of registered voters then
number of counted votes = percent of votes count x total numbers of registered voters
⇒p = 0.60 x r
273600 = 0.60 x r
⇒ r = 456000
thus, total numbers of registered voters is 456000
since, total numbers of voters > the numbers of registered voters
Therefore, the Number of registered voters is less then the appear on voting day.
PLEASE HELP! DUE TOMORROW 1-8-21 !! Look at these equations. Write each equation in slope-intercept form. Are these equations the same or different? Explain. I don’t know how to do the middle equation so please show work for that.
Answer:
y = 2x-4
all the equations are the same as the slope-intercept form is the same for all the equations
Step-by-step explanation:
slope-intercept form:
[tex]y = mx + b[/tex]
2x-3 = y+1
i) move y to the left-hand side and change its sign-y+2x-3 = 1
ii) move 2x-3 to the right-hand side and change its sign-y = 1-2x+3
iii) add the numbers-y = (1+3)-2x
-y = 4-2x
iv) change the signs on both sides of the equationy = -4+2x
v) use the commutative property to reorder the terms( commutative property: the number on which we operate can be moved or swapped from their position without making any difference to the answers )
y = 2x-4
I would really appreciate some help with this question. I just can't seem to get it right or I don't think that I can get it right. Please help me!
Answer:
im not so sure but i think its a,b,c
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
proportional relationships in that situation would be linear and would pass through 0,0.
PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?
10 HOURS
40 HOURS
50 HOURS
90 HOURS
Answer:
40 hours
Step-by-step explanation:
first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours
Please someone help me
Answer:
a) the height ...................Im not sure though .....................................
Step-by-step explanation:
.............................................
i need help.....plz.
hopefully u can solve the problem
but i need the answer asp
Answer:
I believe the answer would be 4 :) hope this helps
the answer is definitely 4
Find the solutions to the quadratic. *
y = (x + 13)(x - 21)
Answer:
[tex]\huge\boxed{-13, 21}[/tex]
Step-by-step explanation:
The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.
...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.
Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.
The opposite of 13 is -13, and the opposite of -21 is 21.
Therefore, the solutions of this equation are -13 and 21.
Hope this helped!
Triangle ABC Triangle DFE. What is the measure of Angle E in degrees?
Answer:
Angle E is 30⁰
Explanation:
If triangle ABC= triangle DFE then they are both the same it's just that in this case the triangles are mirrored meaning that Angle C= Angle E
Making Angle E: 30⁰
Pls help?!?!?! 10 points
Answer:
I solved it for u!
Hope ot helps!!!
Find the difference 0.2 - 0.05 =
Answer:
0.2-0.05=0.15
Step-by-step explanation:
0.2=0.20
0.20-0.05=0.15
The required difference between 0.2 and 0.05 is 0.15, which is determined by the subtraction operation.
To find the difference between 0.2 and 0.05, we subtract 0.05 from 0.2:
0.2 - 0.05 = 0.15
The difference between 0.2 and 0.05 is 0.15.
When subtracting decimals, we align the decimal points and subtract each place value. In this case, both numbers have one decimal place, so we subtract the tenth place.
Starting from the right, we have 0 in the tenth place of 0.2 and 0 in the tenth place of 0.05. Subtracting 0 from 0 gives us 0.
Therefore, the difference in the tenth place is 0.
Since there are no other place values to subtract, the resulting difference is 0.15.
Learn more about subtraction here:
https://brainly.com/question/1927340
#SPJ6
what is the equation of the line that passes through the point (-2,-2) and has a slope of 4
Answer:
y=4x+6
Step-by-step explanation:
Find the value of x.
34
х
30
x =
Answer:
If you're multiplying them: 34x * 30x = 1020x^2
If you're adding them: 34x + 30x = 64x
If you're subtracting them: 34x - 30x = 4x
Step-by-step explanation:
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
Help please thanks looks at pic attached
Answer:
m || n only when the corresponding angles will be equal.
Step-by-step explanation:
Here its only given that vertical angles are equal. But it doesn't prove m || n . If the corresponding angles wouls have been equal , then only we can prove that m || n.
What is the vertex of the function defined as
g(x) = f(x – 5) + 3?
Answer:
f=gx−3/x−5
Step-by-step explanation:
Step 1: Flip the equation.
fx−5f+3=gx
Step 2: Add -3 to both sides.
fx−5f+3+−3=gx+−3
fx−5f=gx−3
Step 3: Factor out variable f.
f(x−5)=gx−3
Step 4: Divide both sides by x-5.
f(x−5)/x−5=gx−3/x−5
9 ⅚ + 1 ¼ + ___________ = 14
Answer:
14
reeaADADSDDSSA
Step-by-step explanation:
[answer 1 11/12 or 2.917]
1. 9 5/6 + 1 1/4 = 11 1/12
2. 14 - 11 1/12 = 35/12 then you smiplfy to get 1 11/12 or 2.917
8+4x≥12
x≤5
x≥1
x≤1
x≥5
M/6 = -9
answer m=?
Answer the ? Mark pls
Answer:
[tex]\frac{m}{6}[/tex] = -9 6 × (-9) = -54
Step-by-step explanation: