Answer:
3/7
Step-by-step explanation:
Write the division of the pizzas as a ratio, and you will have it.
(3 pizzas)/(7 persons) = (3/7) pizza/person
__
Each person gets 3/7 of a pizza.
factor the polynomials of 6x^2-7x-20
In order to either condense or expand logarithms using their properties, what must be?
Group of answer choices
the need the same exponent
they need the same answer
the need to have the same base
Answer:
Answer C
Step-by-step explanation:
The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.
Answer:
Last option
Step-by-step explanation:
They need same base inorder to apply any property
Like
log_a(bc)=log_a^b+log_a^clog_a(b/c)=log_a^b-log_a^cThere is a bag filled with 3 blue, 4 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting 2 the same colour?
Answer:
[tex] \frac{25}{72} [/tex]
Step-by-step explanation:
[tex]( { \frac{3}{12}) }^{2} + { (\frac{4}{12}) }^{2} + { (\frac{5}{12}) }^{2} = \frac{50}{144} = \frac{25}{72} [/tex]
At school there is a ratio of 3 girls for every 2 boys. If there are 100 students in the school, how many are girls
Answer:
60 girls
Step-by-step explanation:
The elements of a function of x are (-6, -7) (-2, -3) and (2, 3) What is the domain of the function?
A: {-7, -3, 3}
B: {-6,-2, 2}
C: {10}
D: {-7, -6, -2}
Answer:
B: {-6, -2, 2}
Step-by-step explanation:
Domain = input values (x-values)
Given elements: (-6, -7) (-2, -3) (2, 3)
The x-values of the given elements are: -6, -2 and 2
Therefore, the domain is {-6, -2, 2}
Find the degree measure of each arc
Answer:
Step-by-step explanation:
Which expression is equivalent to rootindex 4 startroot 144 a superscript 12 baseline b cubed endroot? assume a greater-than-or-equal-to 0 and b greater-than-or-equal-to 0.
An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.
What is an expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex], this can be done in the following manner,
[tex]\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\[/tex]
[tex]= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}[/tex]
Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.
Learn more about Expression:
https://brainly.com/question/13947055
Answer:
its a
Step-by-step explanation:
on edge 2022
A science teacher recorded the pulse of each of the students in her classes after the students had
climbed a set of stairs. She displayed the results, by class, using the box plots shown.
Which class generally had the highest pulse after climbing the stairs?
The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
What is box plot representation of data?
Box plot is the way of representation of data which gives the graphical image of the data set to understand better.
The minimum and the maximum values in the box plot is plotted at the end points.
A science teacher recorded the pulse of each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.
In this box plot, the class 3 has the highest value compare to all the box plot.
Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.
Learn more about the box plot here;
https://brainly.com/question/14277132
#SPJ1
Please help!!!
In the figure below, which is not drawn to scale, find x
A. 7.1
B. 14.2
C. 15
D. 7.5
Answer:
The answer is C. x=15
Step-by-step explanation:
PQ+PR+RQ=360°
(8x-10)°+(6x)°+(10x+10)°=360°
(8x+6x+10x)+(-10+10)=360°
24x+0=360°
[tex]x=\frac{360}{24}[/tex]
x=15
percent discount
A $37.50 dress is on sale for $26.25.
A.20%
B.25%
C.30%
D.35%
E.40%
F.45%
Answer:
C. 30%
Step-by-step explanation:
If you subtract 26.25 from $37.50, you're left with a difference of 11.25.
Given that your question has six possible answers, you can eliminate three of them considering 11.25 is somewhat close to 1/3 of 37.50.
After you've eliminated the first three options, you're left with 30%, 35%, and 40%.
You would get 28.125 by multiplying 11.25 by 2.5 (equal to 40%). So we know that 40% is NOT the solution.
You would get 33.75 by multiplying 11.25 by 3 (equivalent to 33.3 percent). So we know that 35% percent is NOT the solution because a figure less than 35 percent doesn't equal 37.5 percent.
Now that two of the three possible responses have been ruled out, you're left with only one correct answer, 30 percent.
Multiply 37.5 by 0.3 to double-check your work. You'd be left with 11.25, which is the same amount as when you subtracted the dress's price after the discount from the original dress's price.
1a. What formula would you use to find
the area of the rectangle below?
2 units
3 units
Answer:
Area = Width * Length
Step-by-step explanation:
This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.
Which expressions are equivalent to
6
+
12
x
?
7
(
1
+
2
x
)
−
2
x
−
1
Let's see the other options :
7(1+2x)
Use the distributive property :
7+14x
Is 7+14x equivalent to 6+12x? No.
The expression equivalent to 6+12x is :
6(1+2x) ← divide 6+12x by 6 and put it outside the parentheses
hope helpful ~
the answer is 1575 but I need to show my work! (find the total volume)
I WILL GIVE BRAINLIEST!!!!!
Answer: 1575
Step-by-step explanation:
Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441
Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)
441 + 1134 = 1575
PLEASE HELP!!!!
What is the area of the picture below?
Answer:
A=130
Step-by-step explanation:
An electrician charges a flat fee for each job plus an hourly rate . He charged one customer $90 for a job that took him 3 hours . He charged another customer $150 for a job that took him 8 hours . Which equation models the relationship?.
Answer:
let x equal the service charge.
let y equal the per hour charge.
for the job that cost 450, the equation is 450 = x + 6y
for the job that cost 330, the equation is 330 = x + 4y
these two equations needs to be solved simultaneously.
subtract the second equation from the firs to get 120 = 2y
solve for y to get y = 60.
in the first equation, replace y with 60 to get 450 = x + 6*60.
simplify to get 450 = x + 360.
subtract 360 from both sides of the equation to get 90 = x.
it appears that the service charge is equal to 90 and the per hour charge is equal to 60.
for the job that cost 450, the equation becomes 450 = 90 + 6*60 = 90 + 360 = 450.
for the job that cost 330, the equation becomes 330 = 90 + 4*60 = 90 + 240 = 330.
the numbers check out.
the service charge is 90.
the per hour charge is 60.
i believe your solution is that the electrician charges a flat fee of 90 plus an hourly fee of 60 for a service call.
Step-by-step explanation:
what is the answer to 1/3 + 3/4 + 2/5 =
solve for x
42=x-2(x+4)
Answer:
-50
Step-by-step explanation:
42+=x-2x-8
42=-x-8
(add 8 to both sides)
50=-x
(divide by negative 1)
-50=x
Amanda and Molly are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of shiny wrapping paper. Amanda sold 3 rolls of plain wrapping paper and 3 rolls of shiny wrapping paper for a total of $60. Molly sold 1 roll of plain wrapping paper and 9 rolls of shiny wrapping paper for a total of $132. What is the cost each of one roll of plain wrapping paper and one roll of shiny wrapping paper? (no links please)
Answer:
Step-by-step explanation:
Solving system of symultaneous equation:
Let the cost of one roll of plain wrapping pair = x
Let the cost of one shiny wrapping paper = y
Amanda:
Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60
3*x + 3*y = 60
3x + 3y = 60 ------------------(I)
Molly:
Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132
x + 9y = 132 ---------------------(II)
x = 132 - 9y ---------------(III)
Substitute x = 132 -9y in equation (I)
3*(132-9y) + 3y = 60
3*132 - 3*9y + 3y = 60
396 - 27y + 3y = 60
Combine like terms
396 - 24y = 60
Subtract 396 from both sides
-24y = 60 - 396
-24y = -336
Divide both sides by (-24)
y = -336/(-24)
[tex]\sf \boxed{y=14}[/tex]
Now, substitue y = 14 in equation (III)
x = 132 - 9*14
= 132 - 126
[tex]\sf \boxed{x = 6}[/tex]
cost of one roll of plain wrapping paper = $ 6
Cost of one roll of shiny wrapping paper = $ 14
What is the surface area of the following cylinder in square centimeters? 471 cm 2 31.4 cm 2 47.1 cm 2 54.95 cm 2
Answer:
54.95
Step-by-step explanation:just did the question and got it right.
Hope this helps!
need the answer
Find (3x+7)2 .
Answer:
9x² + 42x + 49
Step-by-step explanation:
Identity
(x + a)² = x² + 2ax + a²In this case, x = 3x and a = 7, so substitute the values.
(3x + 7)²(3x)² + 2(3x)(7) + (7)²9x² + 42x + 49Answer:
[tex]9x^2 + 42x + 49[/tex]
Step-by-step explanation:
Step 1: Factor out the expression
[tex](3x + 7)^2[/tex]
[tex](3x + 7)(3x + 7)[/tex]
[tex](3x * 3x) + (3x * 7) + (7 * 3x) + (7 * 7)[/tex]
[tex]9x^2 + 21x + 21x + 49[/tex]
[tex]9x^2 + 42x + 49[/tex]
Answer: [tex]9x^2 + 42x + 49[/tex]
[tex]( x + 1)(x - 1)[/tex]
what's the answer!!!!
[tex]\boxed{x^2-1}[/tex] is the ans
Calculations ↓First, multiply x times x :
x²
Now multiply x times (-1) :
-1x or -x
Right now we have
x²-x
Now multiply 1 times x :
x
x²-x+x
Now multiply -1 times 1 :
-1
x^2+x-x-1
the x's cancel :
x^2-1
So the simplified expression is :[tex]\blue{\boxed{\pmb{x^2-1}}[/tex]
[tex]\small\text{hope\:helpful~}[/tex]
To determine the successful applicant for a job, the interviewer assigns a problem to each of the 7 applicants.
If the problems are assigned at random to each applicant, how many different ways can they be assigned?
Answer:
5040
Step-by-step explanation:
type 7! in calc.
Answer:
5040
Step-by-step explanation:
Just take the factorial of 7.
I appologize if I am mistaken.
With decimal is equivalent to 76/9
Answer:
8.4
Step-by-step explanation:
76 ÷ 9 = 8.44444444
= 8.4 (rounded)
hope this helps!
What is the solution to the equation 9r=4/7
Answer:
r=4/63
Step-by-step explanation:
Divide each term in 9r=47 by 9 and simplify.
Answer:
[tex]r=\frac{4}{63}[/tex]
Step-by-step explanation:
1) Divide both sides by the same factor
[tex]9r=\frac{4}{7}[/tex]
[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]
2) Simplify
Cancel terms that are in both the numerator and denominator[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]
[tex]r=\frac{\frac{4}{7} }{9}[/tex]
Divide the numbers[tex]r=\frac{\frac{4}{7} }{9}[/tex]
[tex]r=\frac{4}{63}[/tex]
explain how to do this
i forgot how to do it
Answer:
how i do it:
break the entire figure up into simple shapes ( there should be 4 separate figures once you do this )
find the missing / needed side lengths using the information already provided
multiply to get the area of each figure
add them all up
i need help math asap
Please tell me the answer
1*2*3*4*5*6*7*8*9*0=
Answer:
1*2*3*4*5*6*7*8*9*0=0
For anything times zero is zero
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is zero, because the last number you multiply by is zero... but.. to be fair, it probably should have been a 10, as in 10 factorial or 10! if it was 10! , it would be 3,628,800.
Please help me with this Q.:)
Answer:
The first one
Step-by-step explanation:
<X = <Z
because they are corresponding angels
Escribe una ecuación que represente la tabla.
por favor respondan ^^
You roll a fair 66-sided die.
What is text P ( roll less than 4)
Answer:
1/22
Step-by-step explanation:
Answer:
P(<4)
Step-by-step explanation:
P(<4) means "What is the probability that the die shows a number less than 4?" Since each side has a probability of 1/6 of showing, we can simply sum these 3 probabilities.