The required fraction of the pizza Rachel eat is 1 / 6.
Given that,
After a party, 1/3 of a pizza remains. Rachel eats 1/2 of the remaining pizza. What fraction of a pizza she eat is to be determined.
The technique in mathematics to perform and solve the expression to make the expression simple or more understandable is called simplifying and the process is called simplification.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here, remaining pizza = 1 / 3
Rachel eats 1 /2 of the remaining pizza so,
= 1 / 2 * 1 / 3
= 1 / 6
Thus, the required fraction of the pizza Rachel eat is 1 / 6.
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Which graph can be used to find the solution to the system of equations below? 2x + y = -4 - 3y = 2x + 12 2 -4-3-2-1 -1 1 2 3 5 2. -5 3-2 1 2 1 2 3
Answer:
F
Step-by-step explanation:
2x+y = -4
put into slope-intercept form: y = -2x - 4
-3y = 2x+12
In slope-intercept form: y = -⅔x - 4
Both equations have a y-intercept of -4. There is only one graph where both lines pass through (0,-4).
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
The given system of equations are 2x+y=-4 and -3y=2x+12.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations can be solved as follows:
Here, 2x+y=-4 ----------(1)
-3y=2x+12 ----------(2)
From equation(1), y=-4-2x
Now, put y=-4-2x in equation (2) and simplify
That is, -3(-4-2x)=2x+12
⇒ 12+6x=2x+12
⇒ 4x=0
⇒ x=0
Substitute x=0 in equation (2), we get
-3y=12
⇒ y=-4
The solution of the given system of equation is (0, -4). Therefore, option A is the correct answer.
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Which point is located at (8, 6)? A B C D
Answer: (8, 6) is located at Area A.
Step-by-step explanation:
The first number inside the parentheses can be found on the x-axis. The second on the y-axis.
The playing surface of a football field is 263 feet long and 116 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run? Round to the nearest whole number.
Answer:
263 ft
Step-by-step explanation:
Because the field is 263 feet long he is not running wide
it is already rounded hope this helps
Is x^2+y^2=100 a function
Using the function concept, it is found that [tex]x^2 + y^2 = 100[/tex] is not a function, as for each value of x there is more than one corresponding value of y.
Function:In a function, one value of the input can be related to only one value of the output, that is, for each value of x, there can only be one respective value of y.In this problem, the relation is:
[tex]x^2 + y^2 = 100[/tex]
For example, considering x = 0, the corresponding values of y are:
[tex]0^2 + y^2 = 100[/tex]
[tex]y = \pm \sqrt{100}[/tex]
[tex]y = \pm 10[/tex]
Hence, it is not a function, as for each value of x there is more than one corresponding value of y.
To learn more about the function concept, you can take a look at
What is the solution to x-4≤6?
Answer:
x - 4 _< 6
Step-by-step explanation:
PLEAAASE HELPP that would be very much appreciated
Answer:
h(x) = (x + 4)^2 - 2
Step-by-step explanation:
Start with the red graph: f(x) = x^2
First we move the entire graph 4 units to the left. The resultant function is g(x) = (x + 4)^2.
Next, we move this latest graph 2 units down. The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2
This graph shows how long, in minutes, it takes Malaya run her miles. How
long does it take her to run 8 miles? *
Answer:
80 minutes
Step-by-step explanation:
On your graph it says each mile takes 10 minutes. 8 miles take 80 minutes.
find the value of the second in this sequence
34 __ 84 109 134
Answer:
the answer is 59
Step-by-step explanation:
your welcome
Decrease £2155.45 by 18.5% then rounded to 2dp
Answer:
18.5%/10×100
185
2155-185
1970
now pls round off cause I don't understand 2dp
find the value of the greater root of x^2 + 10x + 24x = 0 a) -6 b) -4 c) 4 d) 6
what formula is applied, I mean what method
Answer:
B
Step-by-step explanation:
We have the equation:
[tex]x^2+10x+24=0[/tex]
We can factor:
[tex](x+6)(x+4)=0[/tex]
By the Zero Product Property:
[tex]x+6=0\text{ or } x+4=0[/tex]
Solve:
[tex]x=-6\text{ or } x=-4[/tex]
-4 is greater than -6, so -4 is the greater root.
Our answer is B.
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!
Answer:
I'm not going to lie I'm not 100% sure but I think it's c
Answer:
D
Step-by-step explanation:
4x=4+2y
3y=5+2x
185.30 divided by 357.25
Answer:
0.52014035087
Step-by-step explanation:
Answer:
0.51868439468
Step-by-step explanation:
Hi, could someone solve this parametric system?
7х+4y – 5z = 2
3х +5y +kz = 4
X+ky +7z = k
9514 1404 393
Answer:
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
Step-by-step explanation:
The system can be solved by any of your favorite methods. Treat k as you would any number.
My row reduction software says the solution is ...
(x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))
__
Clearly, k ≠ 31/7.
The augmented coefficient matrix is attached.
If you need more Spad
Pythagorean Theorem. Lights and More Lights
The residents of watson Avenue are decorating their houses for upcoming holidays
They have decided to all string lights around the roofs their houses, How many feet of
lighting does Sarina need if she wants to string lights along roof?
Your work should include:
Length of the roof including formulas used (3 points)
A description of the Pythagorean Theorem (3 points)
Calculations (3 points)
Explanations using math terms (3 points)
If you need more space to show your problem
solving go to th next slide
Answer:
Just convert the number to the third digit and the answer will be b
A pool of possible jurors consists of 15 men and 14 women. How many different juries consisting of 5 men and 7 women are possible?
Answer:
6
Step-by-step explanation:
Um so what I did was 15/5=3 and 14/7+2
So for the first group of men, 2 groups. TIMES 3.
Equals 6 options
Find the area. Simplify your answer.
2x
3x
Answer:
We know,
Area of triangle = 1/2 * b * h
= 1/2 * 2x * 3x
= 1/2 * 6x
= 3x
Hope it helped
All the best !!
The area of the given triangle is 3x².
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given a triangle.
Area of a triangle can be found using the formula,
Area = [tex]\frac{1}{2}[/tex] × base × height
Given,
Base = 3x and height = 2x
So using the formula,
Area = [tex]\frac{1}{2}[/tex] × 3x × 2x
= 3x × x
= 3x²
Hence the area of the triangle is 3x².
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What is the length of s (the height of one of the triangular faces)?
Round your answer to the nearest tenth.
Answer:
s = 16.2 units
Step-by-step explanation:
s^2 = 15^2 + 6^2 (6 is 1/2 of 12)
s^2 = 225 + 36
s^2 = 261
s = 16.16
3579
How do I write it out to solve the problem
Answer:
three thousand five hundred seventy nine
Step-by-step explanation:
I don't understand this please help me!
The outputs of function are its domain true or false?
What is the Unknown number in proportion
Answer:
8*7/4=7x
56/4=7x
14=7x
x=2
Step-by-step explanation:
solve the system of equations 6x+3y=12 and 5x+y=7
Answer:
x = 1; y = 2
Step-by-step explanation:
To find x:
Multiply (5x+y=7) by 3 to get the y's in both equation the same, and you will get 15x+3y=21.
Now the y's cancel out. Subtract the remaining equations: (15x=21) - (6x=12) and you get 9x = 9. Divide everything by 9 and you get x=1.
To find y:
You can substitute 1 for x in either equation. I will use (5x+y=7).
Substitute the 1 for x: 5(1)+y=7
Simplify: 5+y=7
Put like terms on the same side by subtracting 5 from both sides: y=2
Check:
6(1) + 3(2) = 12
6 + 6 = 12
12 = 12 - this is right
5(1) + (2) = 7
5 + 2 = 7
7 = 7 - this is right
Ms. Miller pays her electric and internet bill with South Central Cooperative. Her bill is due on February 22nd, and the balance is (-$156.65). Does she owe any money? Why or why not? Explain your reasoning.
Answer: yes
Step-by-step explanation:
yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.
suppose you create a graph of the cost function, c=20n + 500 of a new bookstore, and you also graph the revenue function, r=25n, where n is the number of books sold. On your graph, would the point n=150 in the loss section, the profit section, or the break-even section.
Answer:
Loss section
Step-by-step explanation:
Given
[tex]c = 20n + 500[/tex] -- cost
[tex]r = 25n[/tex] -- revenue
Required
Determine where n = 150 is
To do this, we substitute 150 for n in the given functions
[tex]c = 20n + 500[/tex]
[tex]c = 20 * 150 + 500[/tex]
[tex]c = 3500[/tex]
[tex]r = 25n[/tex]
[tex]r = 25 * 150[/tex]
[tex]r = 3750[/tex]
The above shows that the revenue is greater than cost for n = 150.
This implies that, n = 15o is the loss section.
Answer: profit section :)
1) What is the the product of (3x-2)(5 x2 -3x+1)
First multiply the second ( ) with 3x then multiply it with -2 and add them together So
(3x-2)(5x^2-3x+1)
=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)
=15x^3-9x^2+3x -10x^2+6x-2
=15x^3-19x^2+9x-2
Done!
PLEASE ANSWER QUICKLY!
A piggy bank contains 22 dimes, 7 nickels and 15 quarters. This morning you removed 8 dimes and 3 nickels. Which expression correctly shows the amount remaining in the piggy bank?
Answer:
The top one
Step-by-step explanation:
Joyce Mesnic bought an HP laptop computer at Staples for $699. Joyce made a $100 down payment and financed the
balance at 10% for 12 months. What is her monthly payment? (Round your answer to the nearest cent.)
2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?
Please show work
What single percentage change is equivalent to a 7% increase followed by a 22% increase
Answer:
Single increase rate = 29.47%
Step-by-step explanation:
Given:
First increase rate = 7%
Second increase rate = 21%
Find:
Single increase rate
Computation:
Assume number is a
So,
First increase rate = 7%
a + 7%
= 1.07a
Second increase rate = 21%
1.07a + 21%
1.2947a
So,
Single increase rate = 1.2947 - 1
Single increase rate = 0.2947
Single increase rate = 29.47%
Pls help I’ll brainlest ASAP
Answer:
He is 15 years old.
Step-by-step explanation:
I hope this helps :)
Answer:
Artaud is 15 years old
Step-by-step explanation:
Imagine Artaud is x yearrs old.
Now, turning the words in the problem into math equations, we get:
-x + 42 = 27.
Solving for x, we get:
-x = -15
x = 15.
So, Artaud is 15 years old.