Answers
Answer:
yes they are
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
Related Questions
Use the table to write a linear function that relates y to x.
y=
Answers
Answer:
A linear function that relates y to x is:
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
The graph of the linear function is also attached.
Step-by-step explanation:
Given the table
x -3 0 3 6
y 3 5 7 9
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the slopeb is the y-interceptTaking two points (-3, 3) and (0, 5) from the table to determine the slope of the linear function
(x₁, y₁) = (-3, 3) (x₂, y₂) = (0, 5)Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [5 - 3] / [0 - (-3)]
= 2 / 3
Thus, the slope of the line = m = 2/3
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the table, it is clear
at x = 0, y = 5
Thus, the y-intercept b = 5
substituting m = 2/3 and b = 5 in the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
Therefore, a linear function that relates y to x is:
[tex]y\:=\:\frac{2}{3}x\:+\:5[/tex]
The graph of the linear function is also attached.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)
Answers
9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
Answer:
answer is d
Step-by-step explanation:
hope this helps
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answers
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
PLEASE HURRY !Question 7(Multiple Choice Worth 5 points)
(01.04 LC)
Two samples of water, 10 grams and 50 grams, are in separate cups. Which of the following properties is different for the two?
O Boiling point
O Color
O Density
Volume
Answers
Answer:
D. volume
Step-by-step explanation:
PLEASE HELP!!!! The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answers
Answer:20
Step-by-step explanation:
I got it right on my test
Expand using the distributive property 10(-4x + 2)
Answers
Answer:
-40x+20
Step-by-step explanation:
10 times -4x=-40x
10x2=20
Answer:
-40x+20
10*-4x+10*2
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
Answers
Answer: 131 magazines per hour
Step-by-step explanation:
Peggy delivered 328 magazines in 2.5 hours.
To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:
= Magazines / Time in hours
= 328 / 2.5
= 131 magazines per hour
Hey everyone! A little help will be needed/appreciated
Answers
Answer:
2 and 1/4
Step-by-step explanation:
-5 1/4 - (-7 1/2)=
Rewrite as
-5.25 + 7.5 =2.25
Answer:
The answer is 2 1/4 because two negatives make a positive
Step-by-step explanation:
-5 1/4-(-7 1/2) or
-5.25+ 7.5=
2.25
rewrite as a fraction= 2 1/4
Hope this helps!
*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?
a.) Quota
b.) Salary
c.) Gross pay
Answers
Answer:
A
Step-by-step explanation:
The ratio x:10 is equilvalent to 9:6. What is the value of x
Answers
Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
-----------------------------------------------------------------------------
Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
Hope this helps!! :)
Please let me know if you have any questions
find the slope, rate of change, from the tables below
Answers
Answer:
Step-by-step explanation:
Find each slope and y-intercept. Then graph each equation.
Answers
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopeWhich one..? need help. :)
Answers
Answer:
option d is the answer..................
Answer:
4
Step-by-step explanation:
the answer is the last one which is the 4 one
Please make it correct..I need to pass this...
Answers
Answer: The next fraction in the sequence will be 5/20.
Step-by-step explanation:
9/20 is the first fraction.
2/5 is equal to 8/20, so that is the second fraction.
7/20 is the third fraction.
3/10 is equal to 6/10, so that is the fourth fraction.
By now we can see that there is a pattern, because the first fraction's numerator began with 9, the next 8, then 7, and 6. We also simplfied all he fractions so that they had the denominator 20. Because of this, the next fraction in the sequence will be 5/20.
Find the volume of the prism. Round your answer to the nearest tenth.
for brainlist
Answers
Answer:
d. V = 668.2 ft³
Step-by-step explanation:
[tex]V = \frac{1}{2}bhl\\V = \frac{1}{2}(8.6)(8.4)(18.5)\\V = 668.2ft^{3}[/tex]
Answer:
[tex]\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is found using this formula:
[tex]V=\frac{1}{2} bhl[/tex]
For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.
[tex]b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft[/tex]
Substitute the values into the formula.
[tex]V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)[/tex]
Multiply the first two numbers in parentheses.
[tex]V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)[/tex]
Multiply again.
[tex]V= \frac{ 1}{2} (1336.44 \ ft^3)[/tex]
Multiply by 1/2 or divide by 2.
[tex]V= 668.22 \ ft^3[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]V \approx 668.2 \ ft^3[/tex]
The volume is about 668.2 cubic feet.
I need help with this
Answers
1,200 divided by 5 times 10
Answers
Answer:
24
Step-by-step explanation:
Multiply 5 * 10
5 * 10 = 50
1,200/50 = 24
The result of 1,200 divided by 5 times 10 is 2,400.
To solve the expression, follow the order of operations (PEMDAS/BODMAS):
1,200 ÷ 5 × 10
Step 1: Perform division first:
1,200 ÷ 5 = 240
Step 2: Perform multiplication:
240 × 10 = 2,400
So, the result of 1,200 divided by 5 times 10 is 2,400.
To know more about divided, refer here:
https://brainly.com/question/15381501
#SPJ6
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be the temperature outside of plane 3 miles above ground
Answers
Answer:
-3.6 degrees
Step-by-step explanation:
Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.
3 * 5.2 = 15.6
Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.
12 - 15.6 = -3.6
Finally, we can see that the temperature is -3.6 degrees
If O is the center of the circle find x.
Answers
Answer:
x = 60°
Step-by-step explanation:
Angles on the circle formed by the same arc are congruent, then
∠ BDC = ∠ BAC = 50°
x = 180° - (70 + 50)° ← sum of angles in triangle = 180°
x = 180° - 120° = 60°
Plz help due tomorrow
Answers
Answer:
$2.50+$1.25m
Step-by-step explanation:
hope this helps
Write the expanded form of the expression
8(6x - 4)
Answers
Answer:
48x - 32
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8(6x - 4)
Step 2: Expand
Distribute 8: 8(6x) + 8(-4)Multiply: 48x - 32I asked this question three hours ago and nobody answered it
A glider is towed to an altitude of 2,000 feet above the ground before being released by the tow plane. The glider loses 450 feet of altitude before finding an updraft that lifts it 1,750 feet. What is the glider's altitude now?
Answers
Answer:
okay so first you have the original height (2,000 feet) than subtract by 450. add 1750 giving you 3300
Simplify (x^2-4x-12)/(x^2-4)
Answers
Answer:
(x-6)/(x-2)
Step-by-step explanation:
(x^2-4x-12)=(x^2+2x-6x-12)
X(X+2)-6(X+2)
(x-6)(X+2)
(x^2-4)
= (x-2)(x+2)
(x-6)(X+2)/(x-2)(X+2)
(x-6)/(x-2)
Plz help!!
If... g(x)=2(x-1)
When does g(x)=12
Answers
2(7-1)=2(6)=12
Please help due today
Answers
Answer:
it is the 3rd one
Step-by-step explanation:
Answer:
it's e/g
Step-by-step explanation:
adjacent/hypotenuse
the third option, as stated by someone else, is hypotenuse/adjacent, makig it incorrect
Róndelo draws the semicircle shown at the right what is the area of the semicircle
Answers
Carmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .
Answers
Answer: No, she is right
Step-by-step explanation:
[tex]\frac{2x^2+7x+3}{4x+12}[/tex]
Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.
[tex]\frac{2x(x+3)+(x+3)}{4(x+3)}[/tex]
The (x+3) will cancel
[tex]\frac{2x+1}{4}[/tex]
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answers
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Bob and Chris share money in the ratio 2:3
Bob receives £8
Work out how much Chris receives
Answers
Step-by-step explanation:
total ratio is 5
first find the total amount
bob's ratio is 2/5
so 2/5 ×total amount=8 pounds
0.4 ×total amount=8 pounds
total amount=8/0.4=20 pounds
so chris receives: 20-8=12 pounds
Graph the equation.
y + 2 = 3(x + 1)
Answers
Answer:
it is a
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Slope: 3
y-intercept: (0,1)