An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5y is an equation.
2x + 4 + 9 is an equation.
We have
if y varies directly as x.
This can be written as,
y ∝ x
y = kx _____(1)
From (1),
y = 6 when x= 10
6 = 10k
k = 6/10
k = 0.6
Now,
y = 0.6x
when y = 18,
18 = 0.6x
Divide both sides by 0.6.
x = 18/0.6
x = 180/6
x = 30
Thus,
y ∝ x
y = kx
k = 0.6
The value of x when y = 18 is 30.
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The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the price charged for the product p, stated in dollars. Determine the restricted Domain and Range of the function.
Answer:
D=[0, 8 214.29]
R=[0, 230 000]
Step-by-step explanation:
In order to find the domain, we must think of the least price you can give to the product you are selling. The price cannot be less than zero, since that would mean that you are giving money to the consumer for taking the product away, so zero is the smallest value p can get.
The greatest value the price can get is the one such that the quantity demanded is zero. So we need to determine that price by setting the equation equal to zero and solving for p.
230,000-28p=0
so we get
-28p=-230,000
[tex]p=\frac{-230,000}{-28}[/tex]
so
p=$8,214.29
so the restricted domain for this function would be:
[tex]0\leq p \leq 8,214.29[/tex]
or in interval notation:
D=[0, 8 214.29]
In order to find the range, we just need to determine what's the least and greatest value the function can get. Since this is a linear function, we can find them by just substituting each of the extreme values of the domain in the function, so we get:
q=230,000-28(0)=230,000
q=230,000-28(8214.29)=0
so the range would be:
[tex]0\leq q \leq 230,000[/tex]
or in interval notation:
R=[0, 230 000]
how to solve for these
9514 1404 393
Answer:
1. f = 9/a +7
2. x = (y -5)/3
3. x = 3/(y +2)
4. l = (P +9)/4
Step-by-step explanation:
I find it convenient to use the fact that a=b/c can be rewritten as c=b/a:
[tex]a=\dfrac{b}{c}\qquad\text{given}\\\\ac=b\qquad\text{multiply by $c$}\\\\c=\dfrac{b}{a}\qquad\text{divide by $a$, effectively swapping $a$ and $c$}[/tex]
__
1. f - 7 = 9/a . . . . use the above shortcut
f = 9/a +7 . . . . add 7
__
2. y -5 = 3x . . . . . subtract 5
x = (y -5)/3 . . . . divide by 3
__
3. y +2 = 3/x . . . . add 2
x = 3/(y +2) . . . . use the above shortcut
__
4. P +9 = 4l . . . . add 9
l = (P +9)/4 . . . divide by 4
3/4+2/6 please answer this problem
Answer:
1 1/12
Step-by-step explanation:
find common denominator:
3/4=9/12
2/6=4/12
add:
9/12+4/12=13/12
simply:
13/12=1 1/12
hopefully this helps :)
To make rice, you mix 1.5 cups of water for every 1 cup of dry rice. This will make 2 servings. How many cups of dry rice and how many cups of water will you need to serve 10 people?
Answer:
7.5 cups of water
5 cups of dry rice
Step-by-step explanation:
In total 1.5 water and 1 cup rice will equal 2 servings. If you are serving 10 people, you need to multiply each by 5.
there are 3 alligators, 16 turtles, and 12 snakes in the reptile exhibit at the zoo. what is the ratio
Answer: 3:31= alligators to total animals. 16:31= turtles total animals. 12:31= snakes to total animals.
Step-by-step explanation:
3+16+12=31 the total
the lenght of a rectangle tile is 24 cm and its breadth is 40 mm find its area in square mm
Answer:
area=length*breadth
area=24*40
area=960sqare m
if we convert 960m to mm it will be 960000mm
final answer area=960000 square mm
If a rectangular prism has a length width and height of 38 cm 58 cm in 78 cm respectively in the volume of the prism is blank cubic centimeterk
Answer:
7 but not sure
Step-by-step explanation:
The slope of a line is a number we can calculate using any two points on the line. To find the slope, divide the____ distance between the points by the _____ distance.
i need the blanks
Answer: To find the slope, divide the__Y__ distance between the points by the __X___ distance.
Step-by-step explanation: The formula is (Y2-Y1)/ (X2-X1)
A video game has the following formula: For every 1,333 in attack power, you gain 3 levels. You get one bonus star per every 38 levels completed. If a player has an attack power of 0.21 million, how many bonus stars could they get? Round to a whole number.
Answer:
Rounded to a whole number, the player has 12 bonus stars.
Step-by-step explanation:
Since the video game establishes that for every 1,333 points of attack power 3 levels are gained, and that the player has a total of 0.21 million attack points, to determine the number of levels that player has it is necessary to perform the following calculation :
0.21 million = 210,000
210,000 / 1,333 x 3 = Levels
472.6 = Levels
Now, every 38 levels, the game awards a bonus star. To determine the amount of bonus stars that the player has, the following division must be made:
472.6 / 38 = X
12.43 = X
Thus, rounded to a whole number, the player has 12 bonus stars.
transformation mystery picture
Answer:
1 9
6 -2
-12 10
4 3
9 -5
3 -8
-4 6
-4 -3
-1 2
2 7
-18 -15
6 -3
-7 -6
-2 21
-5 5
2 2
Step-by-step explanation:
An item cost $450 before tax and the sales tax is $13.50. Find the sales tax rate. Write your answer as a percentage.
Answer:
3%
Step-by-step explanation:
If an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that An item cost $450 before tax
The sales tax of the item is $13.50
We have to find the sales tax rate in percentage
To find the percentage we have to multiply x/100 with four hundred fifty which is equal to thirteen point five
x/100×450=13.5
4.5x=13.5
Divide both sides by 4.5
x=13.5/4.5
x=3%
Hence, if an item cost $450 before tax and the sales tax is $13.50 then the sales tax rate is 3%.
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The model shows the expression 219 Which expression is equivalent to this sum? O 3(7+3) O 307)+ 3 O 3+7+3 O 7(3+3) Mark this and retum Me
Answer:
a
Step-by-step explanation:
What is the answer to f(x)=2x+28?
Please help last question
Answer:
1/3x
The point (135,45) as well as all other listed points falls on the line 1/3x=y
Hope this helps! :)
Help please geometry 10 points
Answer:
15) LKJ congruent YZX 16) VXW Congruent PRQ
Step-by-step explanation:
This is the answer
Find the sum of the interior angle measures of a regular polygon
with 17 sides
Answer:
2700
Step-by-step explanation:
the formula is (n - 2) 180
How much is 4 times 4?
Answer:
16 :D
Step-by-step explanation:
4 * 4 = 16
Answer:
16
Step-by-step explanation:
4x4=16
Hope this helps.
30 POINTS please help I really need help :(((((((
During photosynthesis, plants take in carbon dioxide causing its concentration in the atmosphere to ___________.
a) increase
b) decrease
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
Group of answer choices
True
False
Answer:
u said 30 points
Step-by-step explanation:
Answer:
a) increase
b) true
Step-by-step explanation:
Hope this helps plz hit the crown:D
Which ordered pair would form a proportional relationship with the point graphed below?
100 iv
90
8 8 8 8 8 8 3 8
45, 30)
10 20 30 40 50 60 70 80 90
X
(10. 10)
(25, 35)
(70.50
(90.60)
Work out the multiplier as a decimal number for an increase of 5% followed by an increase of 3%
Answer:
8% multiped by what ever the decimal is
Step-by-step explanation:
5% + 3% = 8%
2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t.
B. After how many seconds does the object momentarily come to rest and then change directions?
Answer:
t = 3.7 seconds
Step-by-step explanation:
Linear Modeling
The velocity of an object is modeled by the function
v(t) = -78.4t + 288
Where v is expressed in m/s and t is expressed in seconds.
The velocity is a vector, therefore its sign indicates its direction. If the object is at rest, then its velocity has a magnitude of zero.
To find when the object comes to rest, we set the velocity to 0:
-78.4t + 288 = 0
Now solve for t. Subtracting 288:
-78.4t = -288
Dividing by -78.4:
t = -288 / -78.4
t = 3.7 seconds
Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month.
Answer:
7.45
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR EXPLANATION!!!!!! AND ANSWER!
How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
Answer:
you cant give brainliest you have to earn it
Answer:
The graph will be flipped and move 3 units to the left
Step-by-step explanation:
Parent function: f(x) = x^4
Graph: g(x) = −(x + 3)^4
Compared to the parent function, g(x) will be flipped because of the negative coefficient and move 3 units to the left because of (x+3).
A stand at a farmer's market sells three different types of apples. The table below shows the cost and weight of the apples.
Answer:
and what are the numbers there bud
Answer:
Please show the table I cannot help with no info!
Step-by-step explanation:
Jenny bought a pair of pants for $19.99 and two shirts for $7.50. If she gave the cashier 40 dollars how much change did she receive. Assume there are no tax sales
Answer:
Jenny will receive $12.51 in change.
Step-by-step explanation:
We need to find the total cost first.
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars she gave to get the amount of change she receives.
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
hope this helped!
Jenny will receive $12.51 in change.
We have given that the Jenny bought a pair of pants for $19.99 and two shirts for $7.50.
We need to find the total cost first.
What is the total cost?Total cost=price of pants +price of shirt
19.99 + 7.50 = 27.49
We then subtract that from the 40 dollars
She gave to get the amount of change she receives.
So we have to subtract the total cost from 40 so we get,
40.00 - 27.49 = 12.51.
She will receive $12.51 in change.
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1, 2 after a reflection y = 0 followed by a reflection y = 2
Answer: ahhhhhummm I think it’s 5
Step-by-step explanation:
Answer:
(1,6)
Step-by-step explanation:
First you would reflect over y=0. Whenever you reflect over y=0, the y-coordinate will be multiplied by -1, so it changes to (1,-2). (1,-2) is 4 coordinates below the line y=2, so when reflected over y=2, the coordinate will be 4 above y=2, which means that the coordinate will be (1,6)
David earns a 4% commission for all the furniture he sells if David receives 7500 in commission this year what is the dollar amount of his sales
Answer:
$187,500
Step-by-step explanation:
Answer:
$187,500, but I could be wrong.
Step-by-step explanation:
7500=0.04x
what is the answer
No cappin need help thx
Answer:
20 %
Step-by-step explanation:
Percentage = [tex]\frac{2}{10}*100[/tex]
= 2 * 10
= 20%
how do you find a proportional relationship in a table?
AnsweTo see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.r:
Step-by-step explanation:
Answer:
You can find a proportional relationship in a table by seeing if there is a pattern like 1,5 or 2,10.
Step-by-step explanation: