Answer:
B
Step-by-step explanation:
Given x varies directly with y and inversely with z then the equation relating them is
x = [tex]\frac{ky}{z}[/tex] ← k is the constant of variation
To find k use the condition when x = 4 and y = 12, z = 6 , then
4 = [tex]\frac{12k}{6}[/tex] ( multiply both sides by 6 )
24 = 12k ( divide both sides by 12 )
2 = k → B
The value of the constant 'k' will be 2. Then the correct option is C.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The value of x varies directly with y and inversely with z. Then the proportionality is written as,
x ∝ y ...1
x ∝ 1 / z ...2
Then the combined proportionality is given as,
x ∝ y / z
x = ky / z
At x = 4, y = 12, and z = 6, then the value of the constant 'k' will be given as,
4 = 12k / 6
Simplify the equation, then the value of the constant 'k' is calculated as,
4 = 12k / 6
4 = 2k
k = 4 / 2
k = 2
The worth of the steady 'k' will be 2. Then, at that point, the right choice is C.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Please I need help I’m sorry for bothering
Answer:
A
Step-by-step explanation:
Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
Use the figure.
diameter is 10m
A circle has a diameter labeled ten meters.
Find the circumference. Round your answer to the nearest hundredth. Use 3.14 for π
Answer:
FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"
READ PROMPT
Step-by-step explanation:
Answer:
Formula for the circumference of a circle =2pir
Since the diameter is 10m the radius is half of that which is 5m.
2×3.14×5=31.4m
Step-by-step explanation:
I hope this helps.Have a great day♡
PLS I NEED RELLAY NEED HELP RIGHT NOW
Answer:
40%
Step-by-step explanation:
[tex]\frac{8}{20} = \frac{2}{5}[/tex]
[tex]\frac{2}{5} = 0.40[/tex]
0.40 = 40%
Some one pls help need soon
Answer:
1. [tex]-3x^{2} +6x+4[/tex]
2. [tex]3x^{2} -19x-14[/tex]
Step-by-step explanation:
1. Just subtract them. (To subtract easier, ignore the variables and subtract regularly. When you're done go back and put the variables back in)
2. Foil
[tex](3x +2)(x-7)[/tex]
[tex]3x^{2} -21x+2x-14\\3x^{2} -19x-14[/tex]
Which expression is equivalent to three eighths? (2 points)
a
8 ÷ 3
b
3 ÷ 8
c
8 − 3
d
3 − 8
Answer:
A
Step-by-step explanation:
Answer:
its A/ 8 divided by 3.
in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
Answer:
Step-by-step explanation:
BC=AD
3x-1=x+5
3x-x=5+1
2x=6
x=3
BC=3×3-1=8
CD=2x=2×3=6
perimeter=2(8+6)=2(14)=28
PLEASE HELP ME- In the diagram below,
Answer:
Step-by-step explanation:
HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute
The machine can make __ soda bottles each minute.
Answer:
Step-by-step explanation:
1
make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.Solve the equation 18+a= -50
Answer:
-68
Step-by-step explanation:
Subtract 18 from each side of the equation.
a + 18 = -50
-18 -18
Turn -50 - 18 into -50 + (-18) because you need to add the opposite.
a = -50 + (-18)
a = 68
Write an expression using variables and/or numbers for the statement. Omaya picked x amount of apples, took a break, and then picked v more. Write the expression that models the total number of apples Omaya picked.
Answer:
x+v
Step-by-step explanation:
brainlest?
Find the area. Simplify your answer.
x+1
2x
Answer:
[tex]A = x^{2} + x[/tex]
Step-by-step explanation:
Area of a triangle = bh/2
Your base is 2x and the height is x + 1
So, A = (2x)(x + 1)/2
A = [tex]x^{2} + x[/tex]
which expression makes the equation true for all values
Answer:
Which equation?
Step-by-step explanation:
hii please help i’ll give brainliest
Can you help me (There's a photo) you have to do grater then and = to
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
Write an equation in slope-intercept form for a line with a slope of -2 that goes through the point (-5,6). show steps?
Answer:
y=-2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-2(x-(-5))
y-6=-2(x+5)
y=-2x-10+6
y=-2x-4
- Find the perimeter of the figure.
R(3,4)
S(-8,1)
T(1,-2)
Theoretical probability
P(rolling a 2)
P(rolling a 5)
Answer:
yes indeed..... (wdm? u never finished the question)
Step-by-step explanation:
Answer:
The theocratical probability of rolling a two is 2/6 or 1/3. The theocratical probability of rolling a five is 5/6.
Step-by-step explanation:
A board with 86cm in length must be cut so that one piece is 20cm longer than the other piece .find the length of each piece
Answer:
33cm ; 53 cm
Step-by-step explanation:
Let the length of one piece = x cm
Length of the other piece = (x + 20) cm
x + ( x+ 20) = 86 cm
x + x + 20 = 86
2x + 20 = 86
2x = 86- 20
2x = 66
x = 66/2
x = 33 cm
Length of the longer piece = x + 20 = 33 +20 = 53 cm
The sum of 3 consecutive integers is 45. What is the product of the 1st and 3rd number.
Step-by-step explanation:
Let the required integers be x,x+1,x+2.
Therefore,
x+x+1+x+2=45
3x+3=45
3x=42
x=14
Hence, the required integers are 14,15,16.
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The expression 84 pi over 3 finds the volume of the cone.
The expression 84 pi over 2 finds the volume of the cone.
The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
Learn more about the volume of the cylinder and the volume of the cone here:
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A pounds of apples and b pounds of plums were packed into n boxes. How many pounds of fruit are there in each box?
Answer:
(a + b) / n
Step-by-step explanation:
Pounds of apple in box = a
Pounds of plum in box = b
Number of boxes used in packing = n
The amount fruit in pounds that are in each box :
Total pound of fruits / number of boxes used
Total pounds of fruit = a + b
Number of boxes used = n
Hence, we have ;
(a + b) / n
What is the area of the shaded triangle
why is it important to know the shape of the base of the pyramid
Answer:The pyramid had sloping sides so that the dead pharaoh could symbolically climb to the sky and live forever. The pyramid represented the rays of the Sun I hope this helps
Step-by-step explanation:
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
I put the picture attached
Answer:
120 square inches
Step-by-step explanation:
The area of a circle is 3.14 square yards. What is the circle's diameter?
Answer:
d≈2yd
Step-by-step explanation:
Answer:
d≈2yd
Step-by-step explanation:
c. Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the
raise, how much will Tyler's brother make per hour?
Answer:
The answer is $12.60
A group of friends were working on a student film that had a budget of $1200. They spent all their budget on costumes and equipment. They used 33% of their budget on equipment. How much money did they spend on costumes?
Answer:
$804
Step-by-step explanation:
33%=0.33----Covert the percentage as a decimal.
0.33*1200=396----Multiply the decimal by the price of budget. This is the cost of equipment.
$1200-$396=$804----Subtract the cost of equipment ($396) by the cost of budget($1200). You get $804!
Hope this helped.
Answer:
804
Step-by-step explanation:
what the other person said