If an object has a mass of 450 kg and is moving at 15 m/s, What is that object's momentum?
[tex]p=mv=450\mathrm{kg}\cdot15\mathrm{\frac{m}{s}}=6750\mathrm{\frac{kgm}{s}}[/tex].
Hope this helps.
Colton owns a food truck that sells tacos and burritos. He only has enough supplies to make 120 tacos or burritos. He sells each taco for $3.75 and each burrito for $6. Colton must sell at least $540 worth of tacos and burritos each day. If xx represents the number of tacos sold and yy represents the number of burritos sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Inequality 1) y≤120−x; shade down
Inequality 2) y≥90−0.625x; shade up
Possible solution: (10,100)
*Colton could sell 10 tacos and 100 burritos.
Step-by-step explanation:
Hope I helped ^u^
Colton can sell 20 tacos and 100 burritos.
What is inequality?An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.
Given that, Colton can make 120 tacos or burritos in total, the taco for $3.75 and each burrito for $6, He must sell at least $540 worth of tacos and burritos each day,
Establishing the inequality,
x + y ≤ 120............(i)
3.75x + 6y ≥ 540
0.625x + y ≥ 90...........(ii)
Plotting the graph, the solution will be the portion covered by both the inequality.
One of the possible solution is = (20,100)
Hence, Colton can sell 20 tacos and 100 burritos.
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Edward deposited $8500 into a savings account 4 years ago. The simple interest rate is 5%. How much money did he earn in interest?
Step-by-step explanation:
bun the end of the yeah job. intend him dnd neer
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According to the graph, what is the solution (ordered pair) of this system of equations?
Answers:
(2, -3) and (3, -3)
==================================================
Work Shown:
Since f(x) = -3, we'll replace f(x) with -3 and solve for x
f(x) = x^2 - 5x + 3
-3 = x^2 - 5x + 3 .... f(x) replaced with -3
0 = x^2 - 5x + 3 + 3 ... adding 3 to both sides
0 = x^2 - 5x + 6
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0 .... factor; you can also apply the quadratic formula
x-3=0 or x-2=0
x = 3 or x = 2
So that explains where that '2' comes from when they listed (2, ?)
-------------
To find what replaces the question mark, we will plug x = 2 into the function
f(x) = x^2 - 5x + 3
f(2) = 2^2 - 5(2) + 3
f(2) = 4 - 10 + 3
f(2) = -3
We could have skipped this portion and said that the solution is (2,-3) but plugging x = 2 into the function to get the output y = -3 helps confirm that x = 2 is one of the x solutions.
-------------
Let's do the same for x = 3
f(x) = x^2 - 5x + 3
f(3) = 3^2 - 5(3) + 3
f(3) = 9 - 15 + 3
f(3) = -3
We end up with the same output, so x = 3 is confirmed as well.
The graph below visually helps reinforce these confirmations. Each solution is an intersection between the two curves.
Answer:
cool
Step-by-step explanation:
I'm not sure I'm just getting points
A frequency table for the 34 best batting averages from a baseball league is
shown below. Which of the following histograms best represents the data in
the table?
Frequency
2
Batting Average
0.320 -0.329
0.330 -0.339
0.340 -0.349
0.350 - 0.359
0.360 -0.369
0000
A.
B.
C.
.320-329
-330-339
1.340-349
.350-350
360-360
320-329
:330-339
.340-349
.350-359
.360-360
.320-329
-330-339
.340-349
.350 - 350
.360-360
-320-320
.330-339
340-349
350-350
.360-369
A. Graph A
B. Graph B
C. Graph D
O D. Graph C
The ranges of batting averages were least common among the players is 0.320-0.329 and 0.360-0.369 , Option D is the correct answer.
What is meaning of Average ?Average is the middle value of a set of data points , calculated by summing all the data points and then dividing by the number of points.
here, we have,
It is given that , 30 best batting averages for a semi-pro baseball league.
The ranges of batting averages were least common among the players
To find this , it has to be observed that which range has the lowest frequency
The range 0.320-0.329 and 0.360-0.369 has frequency of 1 which is the least among all
Hence Option D is the correct answer.
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one-third of a number, n, minus 7
ALGEBRAIC EXPRESSION
ASAP ASAP ASAP
Answer:
[tex] \frac{n}{3} - 7[/tex]
Step-by-step explanation:
The comma is important here, otherwise "one third of a number n minus 7" is
[tex] \frac{n - 7}{3} [/tex]
The algebraic expression represents “one-third of a number, n, minus 7
” could be; 1/3n - 7.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like , subtraction, addition, multiplication, and division.
The Numbers constants, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.
We are given that “one-third of a number, n, minus 7”
Therefore, the number n and 7 then it can be written as
1/3n - 7
The algebraic expression represents the statement is 1/3n - 7.
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I need help please help with this question I will give brainliest this is a major grade so no joking around please
Answer:
A
Step-by-step explanation:
The transformation that describes reflection over the x-axis is (x,-y)
PLZ HELP ME
Which expression is a factor of 16x^2-81
I will mark brainliest
A: 8x-9
B: 4x-9
C:8x-81
D: 4x-81
Answer:
B- 4x-9
Step-by-step explanation:
that's the answer
dawn had 1/5 gallon of juice to divide evenly between 2 friends.How much juice should each friend receive?
Answer:
7.5 if 1/5 is 15. if not, its 0.6
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you have to break the fraction into 1/3 so the 2 friends can evenly get that
if its wrong look at someone else
Below are four cube roots. The cube root of a number is the factor we multiply by itself three times to get that number. For each cube root below, state between which two numbers does the cube root lie.
∛5
∛23
∛81
∛99
Your answer:
At the park, Trevor plays basketball with friends for 2/3 hour. Then he and his friends climb trees for 1/2 hour. What expression can be used to find the total amount of time Trevor spends playing basketball and climbing trees?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that Trevor plays basketball with friends for 2/3 hour and that he and his friends climb trees for 1/2 hour.
The expression cmthat can be used to find the total amount of time Trevor spends playing basketball and climbing trees will be:
= 2/3 + 1/2
= 4/6 + 3/6
= 7/6
= 1 1/6 hours or 1 hour 10 minutes
A rectangular prism has a length of 6 cm, a width of 3 cm, and a height of 412cm. The prism is filled with cubes that have edge lengths of 12 cm. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, how many cubes are needed to fill the rectangular prism?
Answer:
618
Step-by-step explanation:
1st step: 6 x 3 x 412
2nd step: 7416 / 12
Final Answer: 618
Hope this helped!
Answer:
It's 648!
Step-by-step explanation:
Your welcome! I took the test! The other persons wrong sry! Have a great week! Happy almost easter! Spring is here! Have a great spring break!
I need this asap ty:p
Which of the following equations are equations of a direct variation? Choose all that apply.
(a) x=−2y
(b) x+2y=12
(c) 3x−2y=0
(d) 5x^2+y=0
(e) y =0.3x +1.6
(f) y−2=x
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
y = x/-2 → y = -1/2x This is equivalent to multiplying x by -1/2, so this is an example of direct variation.(b) x + 2y = 12
2y = 12 - x y = 6 - 1/2x This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.(c) 3x - 2y = 0
-2y = -3x y = 3/2x This follows the format of y = kx, so it is an example of direct variation.(d) 5x² + y = 0
y = -5x²This is not in the form of y = kx, so it is NOT an example of direct variation.(e) y = 0.3x + 1.6
1.6 is being added to 0.3x, so it is NOT an example of direct variation.(f) y - 2 = x
y = x + 2 2 is being added to x, so it is NOT an example of direct variation.The following equations are examples of direct variation:
x = -2y 3x - 2y = 0Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
y = x/-2 → y = -1/2x
This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
2y = 12 - x
y = 6 - 1/2x
This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is NOT an example of direct variation.
(c) 3x - 2y = 0
-2y = -3x
y = 3/2x
This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
y = -5x²
This is not in the form of y = kx, so it is NOT an example of direct variation.
(e) y = 0.3x + 1.6
1.6 is being added to 0.3x, so it is NOT an example of direct variation.
(f) y - 2 = x
y = x + 2
2 is being added to x, so it is NOT an example of direct variation.
The following equations are examples of direct variation:
x = -2y
3x - 2y = 0
HELP PLEASEEEE
Tammy has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Which equation can be used to determine the length and the width of the rug?
A.
21 = 4w^2
B.
21 = w^2 + 4w
C.
21 = w^2 – 4w
D.
21 = w^2 + 4
Answer:
D
Step-by-step explanation:
The equation to determine the length and width of the rug is 21 = w² + 4w.
What is Rectangle?A rectangle is a four sided figure with opposite sides are equal .
Area of a rectangle = Length x width
Given that A rectangular rug with an area of 21 square feet.
The rug is 4 feet longer than it is wide.
Let 'l " be the length of the rug and 'w' be the width of the rug
Length is 4 feet longer than its width
l = w + 4
Area is 21 square feet.
Area = l x w
21 = (w + 4)w
21 = w² + 4w
The equation to determine the length and width of the rug is 21 = w² + 4w.
So width is 3 ft
Length = w +4
length = 3+4= 7 feet
Thus Length of the rug is 7 feet
Length of rug = 7 feet
width of the rug = 4 feet
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please help!
both questions
Which choice is equivalent to the expression below? √27 - √12 + √48
A. 29√3
B. 9√3
c. 21√3
D. 5√3
Answer:
D
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying each radical
[tex]\sqrt{27}[/tex]
= [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
[tex]\sqrt{12}[/tex]
= [tex]\sqrt{4(3)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]
Then
3[tex]\sqrt{3}[/tex] - 2[tex]\sqrt{3}[/tex] + 4[tex]\sqrt{3}[/tex]
= 5[tex]\sqrt{3}[/tex] → D
Find the value of X below
52° is your answer
Hope it helps
PLEASE PLEASE HELP ME!!
Answer:
C. BC ≅ EC
hopes this helps :)
Answer:
Line AC is congruent to line DC (top answer)
Step-by-step explanation:
If a point is a midpoint of a line, then each half of the line (AC and DC in this case) is equal
PLEASE HELP
Write an equation to represent the following description. Use pencil and paper. Describe a real-world situation the equation could represent.
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 8x + 4 = 28
C. 4x + 8 = 28
D. 8x - 4 = 28
E. 4(x+8) = 28
Answer:
Step-by-step explanation:
Eight more means add 8
Four times an unknown number is 4x
‘Is’ 28 means equal to 28
4x+8=28
There were some zombies in the kitchen, however, the lunch lady was able to eliminate 5 zombies. There are now 12 zombies in the kitchen. How many zombies were in kitchen before the lunch lady took care of a few? J K L 60 8 17
Does anyone know what the answer is?
john picks numbers at random. 10 5 5 3 7 9. what is the probability he picked an even number?
Answer:
1/6 probability
Step-by-step explanation:
He only got one even number out of 6 attempts, so its a one in six 1/6.
y = 4
x = -5y + 6
pls help
Answer:
-14
Step-by-step explanation:
-5×(4)+6
-20+6=-14
A bottle of shampoo costs $4 at a store. It is on sale for 25% off, and the sales tax in 5.5%. What is the sales price of the shampoo?
please ACTUALLY HELP>DONT JUST SPAM >IM BEGGING U>I WORKED HARD FOR THESE POINTS>
Answer:
1.22 dollars after sales tax
Answer:
4
Step-by-step explanation:
that is the answer
loooooook below answer number 1234 am giving brainliest
Answer: for number 1 - answer is 84.7
number 2 - answer is 24
number 3- answer is 47.5
number 4 - answer is 6.5
Step-by-step explanation:
1: 84.7
2: 24
3: 47.5
4: 6.5
Members of a baseball team raised $1141.75 to go to a tournament. They rented a bus
for $880.50 and budgeted $23.75 per player for meals. Determine the number of
players the team can bring to the tournament.
Answer:11 players
Step-by-step explanation:
If your phone cord is wrapped up in a rectangle that is 2x1 feet, how far can it reach?
Answer:
6 feet
Step-by-step explanation:
You are basically finding the perimeter of this rectangle.
2+2+1+1 = 6
can you please help me??
15 minutes
1 hour divided by 4 is 15
hope that helped
[tex](m{}^{2})(m {}^{?}) = m {}^{5} [/tex]
What is the answer for - ?
Answer:
5/2
Step-by-step explanation:
[tex](m^{2})(m^{?}) = m^{5}\\ m^{2*?} = m^{5}\\m^{2*5/2} = m^{5}\\(m^{2})(m^{5/2}) = m^{5}[/tex]
answer for brainliest
Answer:
A = 452.16
Step-by-step explanation:
A = 1/4 x 3.14 x d^2
Answer:
75.36
Step-by-step explanation:
did math