The graph of a proportional relationship contains the point (8,4). What is the corresponding equation? Enter your answer as a fraction in simplest form by filling in the boxes.
y= — x
Given:
The graph of a proportional relationship contains the point (8,4).
To find:
The corresponding equation.
Solution:
If y in directly proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is the constant of proportionality.
The graph of a proportional relationship contains the point (8,4).
Putting x=8 and y=4 in (i), we get
[tex]4=k(8)[/tex]
[tex]\dfrac{4}{8}=k[/tex]
[tex]\dfrac{1}{2}=k[/tex]
Putting [tex]k=\dfrac{1}{2}[/tex] in (i), we get
[tex]y=\dfrac{1}{2}x[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x[/tex].
Simplify the expression: 9-2X + 8 + x + 5x
Answer:
4x + 17
Step-by-step explanation:
9 - 2x + 8+ x + 5x
Add/Subtract the values with variables together and the same case for the values without any variables.
5x + x - 2x = 4x
9 + 8 = 17
So you'll end up with the following,
4x + 17
Solve the question to get brainliest
Answer:
D..................
Step-by-step explanation:
Have a nice day
Please help!!! I will mark someone brainliest!
Answer:
a = 8, b = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given the exponential function
f(x) = a[tex]b^{x}[/tex]
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 8
f(x) = 8[tex]b^{x}[/tex]
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
[tex]\frac{18}{8}[/tex] = b² , that is
b² = [tex]\frac{9}{4}[/tex] ( take the square root of both sides )
b = [tex]\sqrt{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex]
Thus
f(x) = 8[tex](\frac{3}{2}) ^{x}[/tex]
3.2h+4=23.2 please help me
Answer:
h = 6
Step-by-step explanation:
a line that includes the point (5, 1)and has a slope of 1
PLS HELP ASAP I AM ALMOSF DONE PLS
Answer:
im saying d is the answer
Step-by-step explanation:
Jeremy wants to read 100 more books by the end of the school year. There are 36 weeks of school. How many books does Jeremy need to read each week?
Answer: 2.777777778 or 2.7 or rounded to 3.0
Step-by-step explanation: 100 • 36 = 2.7 or 3.0
Answer:
I am not 100 % but I think it is 2 books a week
Step-by-step explanation:
100/36
Brainlest??
solve: 2x+3y=1
y=-2x+11
Answer:
(8, -5); x=8; y=-5
Step-by-step explanation:
i'll be solving via substitution
2x+3y=1; y=-2x+11
2x + 3(-2x +11) = 1
2x -6x +33 = 1
-4x = -32
x = 8
2(8) + 3y = 1
16 + 3y = 1
3y = -15
y = -5
(8, -5)
Check:
-5 = -2(8) + 11
-5 = -16 + 11
-5 = -5
Please help answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
In a bag of skittles, there are 124 pieces. 25% are red. How many skittles are NOT red? Put the numeric answer only.
Answer:
496
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
124 * 25%
31
124-31
93
[tex]9z + 6j = 98[/tex]
Answer:
Step-by-step explanation:
What variable are you solving for?
what is 0.0402 as a percent
Answer:
4.02%
Step-by-step explanation:
0.0402×100=4.02%
Answer:
4.02%
Step-by-step explanation:
A sports drink bottle contains 16.9 fluid Ounces. Andre drank 80% of the
bottle. How many fluid Ounces did Andre drink?
Answer:
13.52 fluid ounces should be the right answer! :)
Step-by-step explanation:
Andre drank from the bottle 13.52 fluid ounces if he drank 80% of bottle.
What is Percentage?Percentage is defined as the parts of a number in a whole of 100. This is denoted by the symbol '%'.
In other words, percentage can be defined as the ratio expressed as a fraction of 100.
Any number can be expressed as a percentage of another number by dividing the number with the whole of other number and then multiplying with 100.
Given that, fluid contained in a sports bottle = 16.9 fluid ounces.
Andre drank 80% of the fluid contained in the bottle.
80% of the bottle = 80% × 16.9
= (80 / 100) × 16.9
= 0.8 × 16.9
= 13.52
So this is the total fluid ounces Andre drink.
Hence Andre drank 13.52 fluid ounces from the bottle.
To learn more about Percentage, click on the link given below :
https://brainly.com/question/29306119
#SPJ2
(3xy²)³ × (- 4x²y) =
Answer:
− 108 x 5 y 7
Step-by-step explanation:
My computer wont allow it but the 5 and the 7 are exponents
Answer:
[tex]-108x^{5}y^{7}[/tex]
Step-by-step explanation:
Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);
- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside
- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents
[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP
Answer:
theres
4
Step-by-step explanation:
11 12 c 16 18 if the mean is 12, which number could c be?
Answer:
c = 14
Step-by-step explanation:
hope this helps
I’ll give BRAINLEST I need this now though
The speed of light is about 300,000,000 meters per second. That's
about 3 * 10^8 meters per second. The speed of sound in dry air is
about 3 * 10^2 meters per second.
About how many times faster does light travel than sound in dry air?
Answer:
Light is about 299,999,700 mps (meters per second) faster than sound in dry air.
Step-by-step explanation:
We know that the speed of light is about 3 × 10 ^ 8 meters per second and that the speed of sound in dry air is about 3 × 10 ^ 2 meters per second. We need to solve 3 × 10 ^ 8 minus 3 × 10 ^ 2.
3 × 10 ^ 8 - 3 × 10 ^ 2 =
300,000,000 - 300 = 299,999,700
Light is about 299,999,700 mps (meters per second) faster than sound in dry air.
Answer: 3 x 10^2 m/s times 10^6 = 3 x 10^8 m/s
Step-by-step explanation:
ILL MARK YOU BRAINLIEST To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by an equation of the form y=mx+b, where x = the fire in months and ythe
total cost in dollars. What is the value of b in this equation?
Answer: b=75
Step-by-step explanation: Given that the health club charges $30 per month, we know that this is the "m" varible. We know this because the total value changes as the value of x changes. The value of b would therefore be $75 dollars because it is a constant and a one time fee. The person joining the health club pays an amount of money per month, as well as an initial charge of $75.
Hope that helps!
Rewrite the radical expression as a rational exponent.
Please help!!!
Answer:
C
Step-by-step explanation:
You can think of the square root as [tex]\frac{1}{2}[/tex] which would multiply throughout producing the answer.
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, what is the value of A? Give only the numeric value of A, and do NOT give variables in your answer.
Answer:
b
Step-by-step explanation:
.....
Si un hombre de 1.75m de altura proyecta una sombra de 3.50m que sombra aproximada proyecta un poste de 8.25m
Answer:
4.25 m
Step-by-step explanation:
Resolvemos esta pregunta usando la fórmula:
Altura del hombre / Sombra de un hombre = Altura del palo / Sombra del palo
Sombra del hombre = 3.50 m
Altura de un hombre = 1.75 m
Sombra del palo = 8.50 m
Altura del palo = x
Por lo tanto:
1.75 / 3.5 = x / 8.5
Cruz multiplicar
1.75 × 8.5 = 3.5 × x
14.875 = 3.5x
x = 14.875 / 3.5
x = 4.25 metros
Por tanto, la altura del palo = 4.25 m
Mr. Setterloff drives 756 miles in 12 hours. How far does he drive in 1 hour?
Answer:
He drives 63 miles in 1 hour
Step-by-step explanation:
756/12= 63
4. Which property of operations is used to write 15x + 9 as 9 + 15x?
Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
please answer part one!!!! and fill out the chart
Answer:
39
33
205
Step-by-step explanation:
77-38
128-95
134+71
In a sale normal prices are reduced by 10%
Tom bought a pair of shoes in the sale for £54.
What was the original price of Tom's shoes?
Answer:
What are the answer choices
Step-by-step explanation:
What does
$1 -$3 -$6 +$1
=
Answer:
-7
Step-by-step explanation:
might be wrong
Answer:
$-7
Step-by-step explanation:
1-3-6+1
= -2-6+1
= -8+1
= $-7
PLEASE HELP !! (Sorry if the picture is blurry) ....Amanda is baking cookies for a holiday party. She wants to bake more cookies then she did for last years party. Last year she baked 24 gingerbread cookies and 36 chocolate chip cookies. Which of these represent x, the total number of cookies Amanda must bake to beat last years total? Choose all that are correct.
Answer:
C and D
Step-by-step explanation:
It’s the answer because it has to be greater than 60
The students in Jeanette's grade voted to select a guest speaker. 50% of the students voted for a famous athlete. If there are 22 students in Jeanette's grade, how many students voted for the athlete?
The Lowest common multiple of 2 numbers is 126
what are the 2 numbers
Answer:
Step-by-step explanation:
The least common multiple of 126 and 131 is
16,506