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
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Factor out the coefficient of the variable term.
The expression 0.15c-0.072 factored is: ?
Answer:error
Step-by-step explanation:
An expression is combination of variables, numbers and operators. The factor of expression 0.15c-0.072 is 0.15(c-0.48)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is
zero point one five times of c minus zero point zero seven two.
Expression 0.15c-0.072
A factor is a number that divides another number, leaving no remainder.
0.15c-0.072
Let us take 0.15 common
0.15(c-0.48)
Hence the factor of expression 0.15c-0.072 is 0.15(c-0.48)
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13 = -2 ( y - 4 ) + 3y
Answer:
Y= 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
13= -2y+8+3y
13= y +8
-8 -8
5= y or y=5
I hope this helps!!
If abc=dec, b=5x and e = 45
What is x?
Answer:
9
Step-by-step explanation:
5(9)=45
Answer:
Step-by-step explanation:
a5xc=d45c
according to this equality,
x=5
Find a pair of integers with a product of -84 and a sum of 5.
Answer:
12 x -7 = -84 12 + (-7) = 5
Step-by-step explanation:
Is the ordered pair (-3, 16) a solution for y=-3x + 7?
Answer: Yes
Step-by-step explanation:
(-3, 16) split into place would give you 16= -3-3 + 7. A negative times a negative is always a positive number so, -3 x -3 = 9, 9+7=16
In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
The ratio of athletes to non-athletes
at Browns Primary School is 3:4. If
there are 225 athletes in the school,
how many non-athletes are there?
Answer:
3:5
225 overhere is 3
225/3=75
4 x 75=300
300 non-athletes
Step-by-step explanation:
HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11
Answer:
The answer is C
Step-by-step explanation:
48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?
Answer:
108 pens
Step-by-step explanation:
A forest covers 49,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
0.0000612
Step-by-step explanation:
Answer: 86 I believe
Step-by-step explanation:
PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER
Answer:
It is the second choice.
Step-by-step explanation:
Divide both side by pi r squared. Boom.
Answer:
h = V/πr²
Step-by-step explanation:
Its asking you to isolate h. You can simply divide on the right besides h on both sides.
V = πr²h
V/πr² = h
18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.
Answer:
22Step-by-step explanation:
Let the number of sides ne n
Sum of interior angles:
180(n - 2)Sum of exterior angles:
360We have equation below to solve for n:
180(n - 2) = 10*360n - 2 = 20n = 22sina×tga=1/2, cosa=?
Answer:
cos a = -1.28 and 0.78
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
Hence cos a = -1.28 and 0.78
Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms
Answer:
terms = 7.6p-7p and 9c-4
coefficients =76, 7, 9 and 4
constant terms= 4
If u are selling 5 cans of soup for $12.75 how much is each of them
Answer:
63.75
Step-by-step explanation:
12.75 times 5
please answer ASAP i will marks brainliest!!!!
A standard high school track is 1/4 of a mile. One student is jogging and another student is
riding his bicycle around the track. The jogger is averaging 1 mile ran every 12 minutes, and the
biker is averaging 1 mile biked every 4 minutes. If both individuals plan to exercise for exactly
1.5 hours. How many more laps would the biker make around the track than the jogger?
Answer:
15
Step-by-step explanation:
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
Answer:
0.4016%
Step-by-step explanation:
Estimated Value = 3,500 people , Exact attendance = 3486 people
We can see that there is a Percentage decrease . So we will apply the formula.
%Decrease = Old Value - New Value /Old Value × 100%
%decrease = 14/3486 %
%Decrease = 0.4016% (Answer)
There’s a drawing and I don’t know how to explain it on it
can someone helPPPPPPPPPPPPPPPPPP
-7x+ 14-04. I need helppp plsss
Answer:
The answer is -7x + 10
Subtract 4 from 14.
Hoped this helped!
Convert 0.838383 into a fraction
Answer:
8jdhdhdhdhfbdudhdhdhd
Is that the real answer at the top and what’s the Raleigh Rocket’s score ?
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Original quantity: 10 New quantity: 16
Answer:
what do you mean
Step-by-step explanation:
Anwser this question for brainlist
I need help who can help me with this ?
Answer:
15
205
45
Step-by-step explanation:
all arc measures are equivalent to the corresponding angle within the circle
10) 15
11) subtract all other angles from 360 to find missing angle
360= 15+95+45+x
360=155+x
205=x
12) 45
Solve *plz be quick*
Answer:
9(10-2)=
90-18=72
11×7-23=54
100-15+23=108
16/8=2
Step-by-step explanation:
prove me wrong
Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.
Answer:
Child ticket = $7, adult ticket = $12Step-by-step explanation:
3 child tickets and 4 adult tickets for $69:
3x + 4y = 693 adult tickets for $36:
3y = 36Graph is attached
As per graph, x = 7, y = 12
Child ticket = $7, adult ticket = $12
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Answer:
D
Step-by-step explanation:
This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)
So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer
A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r)ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:
f(x) = 197(1.25)ˣ
If the growth of the weed is shown by each day will be given as,
r = 0.25 / 7
r = 0.03
Then the function is given as,
f(x) = 197(1.03)⁷ˣ
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
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how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answer:
x=3
y=1
Step-by-step explanation:
We know that y is basically two less than x, so we can plug that into the second equation:
x+ (x-2) = 4
We can now simplify:
2x-2=4
2x=6
x=3
After finding x we can now find y with any equation (both work):
y= 3-2
y=1
Hope this helped!
Answer:
x = 3, y = 1Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 3 , 1 )
Hoped this helped :}Lydia can paint 5/8 of a room in 2/3 of an hour. What is her unit rate?
[tex] \frac{10}{11} [/tex]
[tex] \frac{15}{16} [/tex]
[tex] \frac{7}{11} [/tex]
[tex] \frac{5}{12} [/tex]
Answer:
The answer is
[tex] \frac{15}{16} [/tex]
Which triangles are similar?
123
13
112
670
0
5
Triangle A
36
139
15
28
B
17
670
15
Triangle c
Triangle B
Answer:
Triangle A and C
Step-by-step explanation:
Because sum of the angles in triangle A=179 and also sum of angles in triangle C=179