Variation is a topic that describes the relationship between or among given variables. So that the expected answers to the questions are;
y = [tex]\frac{5}{3}[/tex] xv = [tex]\frac{21}{8}[/tex]wp = [tex]\frac{30}{q}[/tex]y = [tex]\frac{33}{x}[/tex]F = 5 poundsVariation is a topic that can be used to show the relationship between or among a given number of variables. The types are direct variation, inverse variation, constant variation, and joint variation.
The required answers to the given questions are:
1. y [tex]\alpha[/tex] x
⇒ y = kx
where k is the constant of proportionality.
Given that, y = 5 and x =3, then;
5 = 3x
x = [tex]\frac{5}{3}[/tex]
Thus,
y = [tex]\frac{5}{3}[/tex] x
2. v [tex]\alpha[/tex] w
v = kw
Given: v = 21, w = 8
Then,
21 = 8k
k = [tex]\frac{21}{8}[/tex]
Thus,
v = [tex]\frac{21}{8}[/tex]w
3. q [tex]\alpha[/tex] [tex]\frac{1}{q}[/tex]
y = [tex]\frac{k}{q}[/tex]
Given: q = 5, q = 6
Then,
5 = [tex]\frac{k}{6}[/tex]
k = 5 x 6
k = 30
Thus,
p = [tex]\frac{30}{q}[/tex]
4. y [tex]\alpha[/tex] [tex]\frac{1}{x}[/tex]
y = [tex]\frac{k}{x}[/tex]
Given: y = 11, x = 3
Then,
11 = [tex]\frac{k}{3}[/tex]
k = 11 x 3
k = 33
Thus,
y = [tex]\frac{33}{x}[/tex]
5. F [tex]\alpha[/tex] [tex]\frac{1}{l}[/tex]
F = [tex]\frac{k}{l}[/tex]
Given; F = 20 pounds, l = 1.5 ft
20 = [tex]\frac{k}{1.5}[/tex]
k = 20 x 1.5
k = 30
F = [tex]\frac{30}{l}[/tex]
When l = 6 ft, then;
F = [tex]\frac{30}{6}[/tex]
F = 5 pounds
The amount of force required is 5 pounds.
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Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4
Answer:
44
Step-by-step explanation:
Answer:
X=-4Step-by-step explanation:
First, we must solve for the parenthesis so...
-2x-8=4x+16
Then we must simplify this even more so lets add the 8 to 16
-2x=4x+24
Then we must subtract 4x from -2x
-6x=24
we must now divide 24 by -6 so we can isolate the x
x=-4
I hope this helped :)
Jennifer has 4 pizzas that she cuts into eights. How many 1/8 size pieces does she have? please help mark you branlyest!!
Answer:
32
Step-by-step explanation:
4/1 / 1/8=32 :)
Find the mean of 8, 6, 2, 4 graphically.
Answer:
5
Step-by-step explanation:
HELP ASAP!!! make sure to submit a pic of the graph!
Answer:
Good luck with math
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
1) Melanin
2) rare albino snake
3) c
4) a
5) c
6) a
The solution of –2x + 13 < 9 is ______
Answer:
-2x + 13 < 9
or, -2x < 9-13
or, -2x < -4
or, x > -4/-2
or, x > 2
Hope you got your answer.
Answer:
x>2
Step-by-step explanation:
-2x<9-13
-2x<-4
x>2
x>2
I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP
Answer:
2
Step-by-step explanation:
Answer:
the apple will be 1
.............
Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?
Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.
Step-by-step explanation:
since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.
first come first served
Answer:
10. 32 mpg
12. 5 1/3 grams = 1 serving
14. 0.8 cent per can
16. 1/2 kg = 1 foot
18. 8 7/10 meters in 1 hour
Step-by-step explanation:
10. 256/8=32
12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1
14. 4.8/0.6=0.8
16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2
18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10
help me with this question for my homework pls
Answer:
4 1/12 is your answer
Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.
Just give me the answer
Answer:
y^6 is the simplest form
Answer:
y=6
Step-by-step explanation:
THATS KHANACADEMY RIGHT LOLLL
Help Me ASAP!
Assume the following in the picture: carbon = black oxygen = red hydrogen = blue Which formula represents the given molecule?
Answer:
Answer is a
Step-by-step explanation:
You count carbon is c so count the black circles there are 5 and do the same with the rest
Answer:
Step-by-step explanation:
a
P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.
Answer:
P = - 1
Step-by-step explanation:
Given P varies inversely with x the the equation relating them is
P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition P = 12 when x = 4
12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
48 = k
P = [tex]\frac{48}{x}[/tex] ← equation of variation
When x = - 48, then
P = [tex]\frac{48}{-48}[/tex] = - 1
Given that the perimeter of the equilateral triangle below is 63 , solve for x
A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.
Which of the following ordered pairs is a solution to the equation 4x+4y=4? Select all that apply.
Answer:
okay, the answers are: (-9, 10), (-4, 5), and (-13, 14)
Step-by-step explanation:
hope this helps
Plz help me !!!!!!!!!!
C i think????????????????????? :D
What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?
Answer:
12x × 1x × 3x = 36x
)))))))))))))))))))
All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph of the function,
⇒ y = (5x + 7) (2x - 1) (x - 4)
Now,
Find x - intercept of the equation as;
Substitute y = 0, we get;
⇒ y = (5x + 7) (2x - 1) (x - 4)
⇒ (5x + 7) (2x - 1) (x - 4) = 0
This gives three conditions as;
⇒ 5x + 7 = 0
And, 2x - 1 = 0
And, x - 4 = 0
After solve we get;
⇒ 5x + 7 = 0
⇒ x = -7/5
And, 2x - 1 = 0
⇒ x = 1/2
And, x - 4 = 0
⇒ x = 4
Hence, All the x - intercept = -7/5 , 1/2 , 4.
Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
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If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units
Answer:
12 units is the answer.
3c + 1 = c + 1
What does c equal
Answer: c=0
Step-by-step explanation:
A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay.
Answer:
unknown
Step-by-step explanation:
it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation
8+12=$20
Step-by-step explanation:
just add them up since they all cost $1
What pair of angles is congruent?
Answer:
angle f angle g and angle h are congruent as they are 90 degree
Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?
Answer:
8 dias
Step-by-step explanation:
Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.
180 / 12 = 15 m2 por dia
Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia
15 / 6 = 2.5
Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta
5 * 2.5 = 12.5 m2 por dia
Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.
100 / 12.5 = 8 dias
Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510
Answer:
$30
Step-by-step explanation:
since they exchanged them we can assume they are worth the same
250=4250
First find how many pesos is worth 1 dollar
4250/250= 17
Then divide the amount the sweater costs by how much 1 dollar would be
510/17= 30
The sweater would cost 30 dollars.
Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n
Answer:
19- 28 over N
Step-by-step explanation:
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)
Answer:
2
Step-by-step explanation:
Find the diagram attached
The Base of the triangle will be equivalent to the the length of the rectangle
Since the base of the triangle is 5units, hence length of the rectangle is 5units
Similarly, the height of the triangle is corresponding to the width of the rectangle
Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units
you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?
Answer:
you would of bought three bags of tomatoes
PLEASE HELP ASAP ILL GIVE BRAINLY
Step-by-step explanation:
x= (70+83+90)/3= 81
85=(89+75+y)/3
255=89+75+y
y=91
92=(86+a+a)/3
276=86+2a
2a=190
a=95
93=(b+b+b)/3
279=3b
b=93
A hexagonal prism has.............vertices.
Step-by-step explanation:
A hexagonal prism has 12 vertices.
Hope this answer will help you.
Have a great time
What is the value of the expression 1/2 divided by 6
Answer: the answer is to divide and you will come up with the answer 1/12
Step-by-step explanation:
Answer:
here is 1/2 divided displayed mathematically
1/2 ÷ 6
1= numerator
2= denominator
3= whole number
to make it fraction from the answer you keep the
numerator by the whole number to make a new
denomiter
___1___ = _1_
2×6 12
thus the answer to 1/2 divided by 6 on fraction form is
1/2 is the answer