Let y be a function of x such that 2x - 3y = 6. What is the rate of change of y with respect to x?
Given the equation 2x -3y= 6
since we are to find the rate of change of y with respect to x we make y subject of formula
2x -3y= 6
3y = 2x - 6
divide through by 3
y= 2x/3 - 6/3
y=2x/3 - 2
dy/dx = 2/3
Explain how to solve 7 + x 12.
Answer:
either 19 or 84
Step-by-step explanation:
your question was unclear, it could be 7+12 or 7x12
so for 7+12 ITS 19
and for 7x12 its 84
The phone costs $600. The sales tax is 6% of the price of the phone. Which statements are true? Select each correct statement. A.The sales tax on a $600 phone is $36. B The total price of the phone with sales tax is $636. C. The sales tax on a $600 phone is $3.60. D The total price of the phone with sales tax is $603.60
Answer:
A. 6 percent of 600 is 360.
Step-by-step explanation:
Multilply 6 x 600 =36
Answer:
A.The sales tax on a $600 phone is $36.
Step-by-step explanation:
$600 * 0.06= 636
Solve for c.
a(c – b) = d
Answer:
c=d/a+b
Step-by-step explanation:
a(c-b)=d
a(c-b)/a=d/a
c-b=d/a
c=d/a+b
c=d+ab/a
What fraction is equal to 2 1/2?
Answer:
5/2
Step-by-step explanation:
Which expression is equivalent to the given expression?
3x^2 + 5x – 7(x^2 + 4)
A. x^2+28
B. x^2+4
C. -4x^2+5x -4
D. -4x^2+5x-28
Answer:
[tex]-4x^2+5x-28[/tex]
Step-by-step explanation:
Distribute -7 by multiplying it by ([tex]x^2[/tex]) and (4)
[tex]3x^2+5x-(7)(x^2)(7)(4)[/tex]
[tex]3x^2+5x-(7x^2+28)[/tex]
Now combine like terms
[tex](3x^2-7x^2)+5x-28[/tex]
[tex]-4x^2+5x-28[/tex]
How many times as much does
the yellow T-shirt cost as the blue T-shirt?
Draw a bar diagram and write and solve
an equation.
Yellow shirt $24
Blue shirt $8
The bar diagram is attached below. As we can see, the price of a yellow T-shirt is as three times as the price of a blue T-shirt. Hence, we can construct the following equation to determine the ratio between both prices:
[tex]y = r\cdot x[/tex] (1)
Where:
[tex]x[/tex] - Price of blue T-shirt, in monetary units.[tex]y[/tex] - Price of the yellow T-shirt, in monetary units.[tex]r[/tex] - Price ratio, no unit.If we know that [tex]x = 8[/tex] and [tex]y = 24[/tex], then the price ratio is:
[tex]r = \frac{y}{x}[/tex]
[tex]r = 3[/tex]
The price of the yellow T-shirt is as three times as the price of the blue T-shirt.
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9x + 3y = 39
-5x – 3y
-35
Add to eliminate y.
O Subtract to eliminate y.
Subtract to eliminate x.
O Add to eliminate x.
Answer:
I don't know
Step-by-step explanation:
thanks for the points
An investigator predicts that dog owners in the city spend more time walking their dogs than do dog owners in the country. The investigator gets a sample of 23 city owners and 21 country owners. Do dog owners in the city spend more time walking their dogs than do dog owners in the country?
Answer:
less time
Step-by-step explanation:
because there is more space for them to move around
Find the next number in the pattern: 12, 24, 48, 96, ...
Answer:
196
Step-by-step explanation:
12, 24, 48, 96, __?
The next term will come by multiplying with number 2
12 *2 = 24,
24*2 = 48,
48*2 = 96,
96*2 = 192,
& The answer will be 196
Answer:
Each time the pervious number is being doubled (multiplied by 2). So the next number would be 96 x 2. So, the next number on the pattern is 192.
:)
Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.
I = 600(7)(2)
What error did Juanita make and how will her error affect the interest she calculates? Explain.
please help
Answer:
The error she made was multiplyng by 7. This would affect her calculations as 7 in percentage form is represented as 700%. The 700% interest would basically mean she owes 7 times the amount she borrowed. The correct number would be 0.07 because 0.07 represents 7% which is the interest. Another error that was made was multiplying 2 to the entire equation. The only thing that needs to be doubled is the interest as every year the interest takes 7%. The correct way would be to put 0.07*2 in paranthesis. The correct equation is
I = 600(0.07*2)
What is the remainder in 32 divided by 1848
Answer:57.75
57 Remainder 24
Step-by-step explanation
3 If 3/4 gallon of paint covers 1/3 of the wall, then how much paint is needed for the entire wall?
Answer:
2/3 I think so but not sure
Irene is N years old. If Tom is twice as old, which of the following algebraic statements shows his age now?
A. 2n
B. 2n + x
C. 2 - n
D. n - 2
Explanation:
The n is a placeholder for a number. Writing 2n means we multiply by 2.
For example, if Irene is n = 20 years old, then Tom is 2n = 2*20 = 40 years old.
The product of 0.4 and a number is 8.
(a) Represent the statement as an equation. Use n for the variable.
(b) Determine the solution set using the replacement set .
Answer:
20 is a solution to the equation by using the replacement set.
Let the unknown variable be n.Given the following data:
Output = 8a. To represent the statement as an algebraic equation:
In this exercise, you're required to write a mathematical expression (algebraic equation) that represents the word sentence given.
Translating the word sentence into an algebraic expression, we have;
The product of 0.4 and a number is 8:
[tex]0.4n = 8[/tex]
b. To determine the solution set using the replacement set:
Let's use the following set of numbers (0, 1, 10, 20)When n = 0:
[tex]0.4(0)=8\\\\0\neq 8[/tex]
When n = 1:
[tex]0.4(1)=8\\\\0.4\neq 8[/tex]
When n = 10:
[tex]0.4(10)=8\\\\4\neq 8[/tex]
When n = 20:
[tex]0.4(20)=8\\\\8= 8[/tex]
Therefore, 20 is a solution to the equation by using the replacement set.
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Answer:
20 is the answer.
Step-by-step explanation:
Pablo pays $150 for 5 nights at a hotel.
Answer: Pablo pays $30every night?
Step-by-step explanation:
Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles. What was Malik's average pace while biking?
Write your answer as a whole number or a decimal.
Answer: Well you first have to figure out how long it took him to ride the one mile so once you find hat out all you need to do if times that by 10 and you will get the answer you have.
Please mark me brainilest
Malik's average pace was 5.5 minutes per mile.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given; Malik uses an app on his phone to track how far he rides his bike. Yesterday, he biked a new trail in a total of 57.5 minutes, including a 2.5-minute water break. The app notified Malik that he rode 10 miles.
Now, This equation represents the situation.
Now, solve the equation for p;
10p+2.5 = 57.5
Subtract 2.5 from both sides;
10p = 55
Divide both sides by 10
p = 5.5
Therefore, Malik's average pace was 5.5 minutes per mile.
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Rita spent a total of $60 at the grocery store.Of this amount,she spent $21 on fruit.What % of the total did she sepend on fruit.
Answer:
35%
Step-by-step explanation:
21/60*100 =2100/60 it is equal to 35%
to calculate percent it is number over total answer multiplied by hundred
brainiest, please
Simplifica e indica la opción del resultado de 9 + 3 {4/[ 6-(6-2)] + 5 }
Seleccione una:
a. 24
b.3
C. 30
d. 20
Answer:
a ang anwers
Step-by-step explanation:
no explanation
Find the length of line AC in the following picture.
I've been at a loss at how to do this one for a while. Someone, please help? No links, no spam. If you don't know the answer, then don't answer.
Answer:
12.72 m
Step-by-step explanation:
You're going to use the left side from the middle of AD up to point A. You see that's the same as a radius, so its length is 4.5. Then you can use the Pythagorean theorem to find the hypotenuse, the blue line from X to A.
(4.5)^2+(4.5)^2=x^2
40.5=x^2
x=6.36
and AC is two of the line you just figured out so 6.36x2=12.72m
Which of the lines below has a negative slope? A B C D A. Line A O B. Line B G Line C D. Line D
Answer:
A. Line A
Step-by-step explanation:
Line A is decreasing so it has a negative slope.
A car renting agency charges a fixed rate of $8 per day plus 8 cents per mile. If a family paid the agency $260 for the use of a car on a 2,450 mile trip, how many days was the car use
Answer: 8 days your welcome (:
Answer:
8 days
1day = $8.08
$8.08 * 8 = $64.64 so this is wrong.
$260/$8.08= about 31 days.
Find the gradient of the line segment between the points (4,6) and (8,14).
Let a = (x1,y1) = (4,6) and b = (x2,y2) = (8,14)
Then, since the formula of the gradient (or Slope), given two points a and b is :
m = (y2 - y1) / (x2-x1) = (14 - 6) / (8 - 4) = 8 / 4 = 2
Then we know that the gradient is m = 2
Good Luck, your the best :)
Stephanie can run 5 miles in 45 minutes. How long will it take her to run 10 miles?
Answer:
89
Step-by-step explanation:
so u have 5 miles in 45 mins so u do 45 x 2 then u get 89 minutes
Answer:
Stephanie can run 5 miles in
= 45 minutes
She can run 1 mile in
= 45/5
= 9 minutes
So, she can run 10 miles in
= 10×9
= 90 minutes or 1 hr 30 minutes
i hate my math teacher. hi yall
Answer:
um, i like my math teacher, math's a little hard sometimes, but i still like her.
Step-by-step explanation:
Will give brainlest pls help
Answer:
i believe it is (c)
Step-by-step explanation:
Answer:
C) 3
Step-by-step explanation:
See the image
4x - 1 all over 2 = x + 7
What is x
Answer:
Step-by-step explanation:
4x-2x=7+1 2x=8 x=4.
Two sides of a triangle are 11 can and 14 cm what are all the possible values for the length of the third side
Answer:
Step-by-step explanation:
The third side is thus, less than 14 + 11 = 25 cm. The side cannot be less than the difference of the two sides. Thus, the third side has to be more than 14 - 11 = 3 cm. So, the length of the third side could be any length greater than 3 cm and less than 25 cm.
The Scale drawing of a rectangular room measures 10 cm long by 6cm wide. The actual width of the room is 15 feet. What is the actual perimeter of the room ,in feet?
Answer:
80 ft
Step-by-step explanation:
6cm is 15ft
10cm is ?ft
10x15 is 150
150 divided by 6 is 25
25+15+25+15 is 80
Find the volume of the sphere.
6
Answer 35
