Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
a) y(x) = (x + 2)^2 -2
b) minimum
c) (-2, -2)
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 4x + 2
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 + 2
y = (x + 2)² - 2
(b)
Since a = 1 > 0 then vertex is minimum
(c)
(h, k ) = (- 2, - 2 ) ← coordinates of vertex
Someone help please hurry !!! ASAP
Answer:
it's -4
Step-by-step explanation:
hope it helped!!!!!!
Answer:
-4
Step-by-step explanation:
The answer will be the same as a positive square root, just add a negative.
If -11y = -13, then y = 1.2
If -11y = -13, then y = 24
If -11y = -13, then y = -1.2
If -11y = -13, then y = 0.846154...
I don't know yet
Answer:
A.
Step-by-step explanation:
A = 1.18, but rounded, is 1.2
Answer:
A) -13.2
Step-by-step explanation:
it's the closest one
Select all ratios equivalent to 2:14. A3:21b.1.2.c
16:112
The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C
What is equivalent ratios?Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
2:14 = 2/14
Reducing 2/14 to the lowest terms = 1/7
2:14 is equivalent to 1:7
3:21 = 3/21 = 1/7
Reducing 3/21 to the lowest terms = 1/7
3:21 is equivalent to 1:7
1:2 = 1/2
1:2 is not equivalent to 1:7
16:112 = 16/112 = 1/7
Reducing 16/112 to the lowest terms = 1/7
16:112 is equivalent to 1:7
Hence, 2:14, 3:21 and 16:112 are all equivalent ratios
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Which of these arcs has a measure of 134 degrees?
• FJ
• DF
• EG
• DH
Answer:
[tex]df \: is \: correct \: answer[/tex]
Does anybody know what the answer to this question?
The simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
What is simplified form of the expression?
If a fraction's top and bottom have only the number one in common, then it is expressed in its simplest form. The top and bottom cannot be divided further and remain whole numbers, in other words. The phrase "lowest terms" is another term for the simplest form.
Consider, the given expression
[tex]\frac{(\frac{1}{x^2}-\frac{2}{y} )}{y-2x^2}[/tex]
We have to find the simplified form of the given expression.
Taking cross multiplication of numerator of the above fraction.
[tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2}[/tex]
Using: [tex]\frac{(\frac{a}{b} )}{c} = \frac{a}{b}*\frac{1}{c}[/tex]
⇒ [tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2} = \frac{y-2x^2}{x^2y} *\frac{1}{y-2x^2} = \frac{1}{x^2y}[/tex]
Hence, the simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
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which operation should be completed first to find the value of the expreesion below 12 + 30 / (6 -3) + 1
A square and an equilateral triangle are joined to form the polygon shown what is the sum of the interior angles of the polygon 240 degrees 360 degrees 420 degrees 540 degrees
Answer:
540°
Step-by-step explanation:
An equilateral triangle has 3 interior angles of 60°
A square has 4 interior angles of 90°.
When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:
60° + 90° = 150°
Then this figure has:
one angle of 60°
two angles of 150°
and two angles of 90°
(the image below illustrates this situation)
The sum of the interior angles is:
S = 60° + 2*150° + 2*90° = 540°
The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
Given f(x) = 6(1-x), what is the value of f(-5)?
How much does a cat way on the moon
Answer:
Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.
Step-by-step explanation:
Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.
have a nice day /night\
may i please have a branlliest
im so bad at this help plss
What is the x-coordinate of the solution to the system shown?
3x - y = 6
3x + y = 34
Answer:
6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
In this equation I will do the elimination method.
3x-y=6
3x+y=34
6x=40
Simplify
x=6[tex]\frac{2}{3}[/tex].
Check:
3(6.666...)-y=6
20-y=6
-20 from 6
-y=-14
y=14
20-14=6
6=6
3x(6.666...)+y=34
20+14=34
34=34
Help Me Now!!!
need help with b c and d
Answer:
b) Take the current height, and add up 15.
c) y = 80x + 15
where y is the height of the water in the pool, in centimeters
where x is the time since the hose is in the pool, in hours
d) 180 = 80x + 15
165 = 80x
x = 165/80 = 2.0625 hours, which is also 2 hours and 3 minutes.
what is the least common denominator 5/8 and 3/4
Answer:
The least common denominator is 8, you need to multiply the 3 by 2.
Answer:
8
Step-by-step explanation:
The table shown represents a linear relationship. x 0 1 3 4 y −8 −6 −2 0 Based on the table, what is the equation of the linear relationship in slope-intercept form? y = 2x − 8 y = 2x + 8 y = −2x + 4 y = −2x − 4
Based on the table, an equation of the linear relationship in slope-intercept form include the following: A. y = 2x − 8
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Next, we would determine the slope of the data points in this table as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-6 - (-8))/(1 - 0)
Slope, m = 2/1
Slope, m = 2.
At point (0, -8), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept is equal to -8.
y = mx + c
y = 2x + (-8)
y = 2x - 8.
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Answer:
A. y = 2x − 8
Step-by-step explanation:
F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?
The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =
Answer: 90 degrees
Step-by-step explanation:
BD=CD
2(BD)= BC
2
Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
help ! work needs to be shown on both (both, all three, however you’d like to refer it as)
Answer:
13= 89%
Step-by-step explanation:
89/100= .89= 89%
Answer:
13. 89%
14. 1/10 to each friend
Step-by-step explanation:
13. 89/100 = 0.89 -> 89%
100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.
Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.
4. The graph shows a nonlinear function.
4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?
4b. What is the difference in outputs of the two functions at x = 0? Explain.
4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.
4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.
Answer:
A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input and the output of a linear function.
Step-by-step explanation:
pls mark as brainliest
brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line
Answer:
Step-by-step explanation:
To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.
[asy]
unit size(1cm);
draw((-7,0)--(5,0));
draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);
dot("$P$", (-5/2,0), S);
dot("$Q$", (2 3/4,0), S);
dot("$R$", (1.25,0), S);
dot("$S$", (-3.5,0), S);
[/asy]
On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.
35 PTS. Don’t explain. y=?
Answer:
180-25-60=95
Step-by-step explanation:
Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3
Answer:
9
Step-by-step explanation:
let the number be X
x multiplied by 3 will be equal to 15 + X + 3
3x = 18+X
2x = 18
x = 9
Answer:
9
Step-by-step explanation:
Jennifers math score for third quarter were 78, 89, 93, 73, 99, 87, 92, and 89 what is the range of her scores
Answer:
26
Step-by-step explanation:
range = [highest number] - [lowest number]
99-73=26
Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4.
The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
To compute this, first convert 5 to binary and base-4:
5 in binary: 101
5 in base-4: 11
Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.
To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:
11 in binary: 1011
11 in base-4: 111
Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.
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Complete the equation of the line who’s y intercept is (0,-1) and slope is 4
Y=4x-1
The equation of a line is:
Y=mx+c
We are told that the slope is 4 which is also gradient, meaning that M=4
Now we are left with:
Y=4x+c
There are two ways to get C:
1. We know that C represents the y-intercept so immediately we can conclude that C=-1
2. You can work it out by substituting the coordinate for the X and Y value:
-1=4(0)+c
-1=C
So in conclusion, the equation of the line is:
Y=4x-1
help me with this question, please, ill choose brainiest and give u 30 points for answering
image below
Answer: D
Step-by-step explanation:
Solving Systems: Graphing Method
y = 4x+6
2x-3y=1
Answer:
vjgioio
Step-by-step explanation:
Answer:
Therefore x= -1.9
y= -1.6
Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.
Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.
Is the statement true or false?Here we have the following statement:
"The point (1, r) on the graph of a proportional relationship shows the unit rate r."
First, remember that a proportional relationship between two variables x and y can be written as:
y = k*x
There k is what we call the constant of proportionality or the unit rate.
If we evaluate that equation in x = 1, we will get:
y = k*1
y = k
Then we have the point (1, k).
In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.
So the statement is true.
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