Answer:
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.
Step-by-step explanation:
We can find the price per square inch of each pizza.
area = πr²
12" diameter pizza
area = π × (6 in.)² = 36π in.²
cost per in.²: $8.99/(36π in.²) = 0.079 $/in.²
14" diameter pizza
area = π × (7 in.)² = 49π in.²
cost per in.²: $10.99/(49π in.²) = 0.071 $/in.²
The 14" diameter pizza gives you more pizza for your money since it costs less per square inch.
Bradley owns 2 surfboards and 4 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?
Answer:
The answer is eight
Step-by-step explanation:
4*2=8
Which two consecutive integers does sqrt20 fall between? Explain your reasoning for. For example, sqrt5 is between 2 and 3, because 5 is between 2^2 and 2^3
Answer:
4 and 5
Step-by-step explanation:
√20 is between 4 and 5 because 20 is between [tex]\sf 2^4[/tex] and [tex]\sf 2^5[/tex]:
[tex]\sf 2^4=16[/tex] and [tex]\sf 2^5=32[/tex]
Answer:
It falls in between 4 and 5
Step-by-step explanation:
Hello!
We can find the perfect squares that are before and after 20.
Perfect squares are numbers that are made by multiplying a number by itself. Numbers that are multiplied by itself 3 times are called perfect triples.
To find the square root of a number is to find out what number multiplied by itself gives us the number.
The perfect square before 20 is 16, as it is 4², or 4 x 4
The perfect square after 20 is 25, as it is 5², or 5 x 5
Therefore, the square root of 20 will fall between 4 and 5.
I need help with is question please.
URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT URGENT!!!!!!!
Plans for a new apartment complex call for buildings directly across the fence from each other to be congruent. This computer printout shows Building A.
if the vertices of Building B are located at (2x1,2y1),(2x2,2y2),(2x3,2y3), and (2x4,2y4), will building B be congruent to Building A?
Because the transformation is a dilation, we conclude that the buildings are not congruent.
Is building B congruent to building A?
You need to remember that if the transformation applied to A is a dilation or a contraction, then the figures will not be congruent.
Where for a point (x, y), a dilation of scale factor k is written as:
(kx, ky).
The vertices of building A are:
(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄).
And the vertices of building B are a dilation of the above ones, such that the dilation has a scale factor k = 2.
(2x₁, 2y₁), (2x₂, 2y₂), (2x₃, 2y₃), and (2x₄, 2y₄).
So, because there is a dilation, building B is not congruent to building A.
If you want to learn more about transformations, you can read:
https://brainly.com/question/3457976
can some help me with this one question pls
Answer:
turn it
Step-by-step explanation:
Find the volume of the shaded region of the figure. Round answer to the nearest hundredths place.
Answer:
Step-by-step explanation:
Cylinder
Start by finding the volume of the cylinder as though the spheres were not there.
Volume of a cylinder = pi r^2 h
r = 6 inches
h = 25 inches. Put the givens in the formula
Volume = pi 6^2 * 25
Volume = pi * 36 * 25
Volume = 900 pi
One sphere
Don't try and find the volume of both spheres. Just do one and double it.
V = pi * (4/3) * r^3
r = 6 inches
V = pi * (4/3) * 6^3
V = pi * 288 Cubic inches
Two spheres
Total volume spheres = 2 * 288 pi
Total Volume of spheres = 576 pi
Volume of the shaded region.
The following will act as a formula for the answer to the question
V_shade = Volume of the cylinder - volume of the 2 spheres
Substitute values into formula
Volume shade = 900 * pi - 576* pi Take out common factor (pi)
Volume shade = pi * (900 - 576 )
Volume of the shaded area
Volumne shade = pi *324
pi = 3.14
Volume shade = 1017.36
Answer:
volume of the shaded region = 1018
Step-by-step explanation:
Valla
A bag contains 40 red and green marbles. The number of green marbles, g, is 9 times the number of red marbles, r.
How many red marbles are in the bag?
4
6
34
36
Next
Mark this and return
Save and Exit
Submit
Answer: 4
Step-by-step explanation:
4*9=36+the 4 red =40
What is the volume of the rectangular prism? 5cm 6cm 5cm?
Answer:
150cm
Step-by-step explanation:
Multiply all sides together.
5 x 5 x 6 = 150
150cm is the volume of the rectangular prism.
Slope of line that passes through (3,6) and (8,2
Answer:
-4/5
Step-by-step explanation:
To find the slope of a line with two points, we do y2-y1/x2-x1.
y2 is 2. y1 is 6.
2-6 = -4
x2 is 8. x1 is 3
8-3 = 5
-4/5 is the answer meaning it is the slope.
Answer:
Slope of this line = -4/5.
Step-by-step explanation:
The formula is
Slope = (y2-y1)/(x2-x1) where (x1, y1) and (x2, y2) are the 2 points.
So here we have:
(6-2)/(3-8)
= -4/5.
There is a bag filled with 4 blue and 5 red 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 that are different in colour?
Answer:
50% chance
Step-by-step explanation:
obviously
In order to better decide how to market a new line of clothing, mary is researching the demographics of the customers of a certain clothing store. she counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students. her collected data is in the table below. week 1 2 3 4 customers 2,848 3,141 3,861 3,911 students 2,033 1,937 2,076 1,721 mary predicts that the store will see 4,238 customers next week. approximately how many high school students should the store expect next week? a. 1,865 b. 2,392 c. 2,446 d. 3,025
Number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.
What is expected value?The expected value is the long term average of the data or the mean of the data.
In order to better decide how to market a new line of clothing, Mary is researching the demographics of the customers of a certain clothing store.
She counted the number of customers who visited the store over the course of a month, and found out how many of the customers were high school students.
Her collected data is in the table below.
Week 1 2 3 4 Customers 2,848 3,141 3,861 3,911 Students 2,033 1,937 2,076 1,721Mary predicts that the store will see 4,238 customers next week.
From using the long term mean value calculator for the provided data, the predicted value of the next week we get as 2392.
Hence, the number of high school students which should the store expect next week, Mary predicts that the store will see 4,238 customers next week is 2392.
Learn more about the expected value here;
https://brainly.com/question/15858152
Answer:
B
Step-by-step explanation:
B because the of the is the cool make of giga chad braincells :)
Nancy went hiking on Mt Math. On Saturday, she started at an elevation of 15 meters below sea level. On
Sunday, she went up the elevation 7 meters and down 5 meters. What was Nancy's elevation at the end of the
day on Sunday?
27 meters above sea level
27 meters below sea level
13 meters below sea level
13 meters above sea level
Answer:
13 meters below sea level.
Step-by-step explanation:
she started at -15m.
Then she went up 7m, making it -8m.
Then down 5m, making it -13m.
the equation would look like this: -15+7-5. All the best, -Crispin
A university decides to accept only the top 15% of
the applicants applying. Their acceptance is based on
performance on an entrance exam. If the mean was 70 and
the standard deviation was 8, then what is the minimum
score needed to be accepted to the university?
The minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.
How to get the z scores?If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] )
then it can be converted to standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
(Know the fact that in continuous distribution, probability of a single point is 0, so we can write
[tex]P(Z \leq z) = P(Z < z) )[/tex]
Also, know that if we look for Z = z in z tables, the p value we get is
[tex]P(Z \leq z) = \rm p \: value[/tex]
For this case, suppose that:
X = the score a student gets in the considered university's entrance exam.
Then, we have:
[tex]X \sim N(\mu = 70, \sigma = 8)[/tex]
Let X = x be the score such that scores bigger than x is 15% of all the scores applicants get.
That means, P(X > x) = 15% of the total area the distribution of X have under its normal distribution. Or, we can say that there is 15% chance of getting scores above X = x
Now, we can rewrite this statement as:
[tex]1 - P(X \leq x) = 0.15[/tex]
Converting X to Z (standard normal variate), we get:
[tex]1 - P(X \leq x ) = 0.15\\\\1 - P\left(Z \leq z = \dfrac{x - 70}{8} \right) =0.15\\\\P(Z \leq z = (x-70)/8) = 0.85[/tex]
The value Z = z for which the p-value is approx 0.85 is found from the z-tables as:
Thus, we get:
[tex]z = \dfrac{x-70}{8}\\x = 8z + 70\\x \approx 8 \times 1.04 + 70 = 78.32[/tex]
Thus, the minimum score needed to be accepted in the university when it takes only top 15% performers where performace had mean 70 score and standard deviation of 8 is found being 78.32 approx.
Learn more about z-score here:
https://brainly.com/question/21262765
#SPJ1
solve and check
x=2x-4/3
Answer:
it = -1
Step-by-step explanation:
-1
Who’s in 10th grade and who’s in 9th? I’m doing a poll for math?
Answer:
I'm in 10th
hope that would help, lol
A cylindrical piece of iron pipe is shown below. the wall of the pipe is 0.75 inch thick, and the pipe is open at both ends: the figure shows a cylinder of height 16 inches and diameter 6 inches. what is the approximate inside volume of the pipe? 113 cubic inches 452 cubic inches 410 cubic inches 254 cubic inches
Answer:
254.4
Step-by-step explanation:
if its 0.75 inch thick, then to get the radius you just times to thickness by 2 which gets 1.5.
6-1.5= 4.5
to get the radius you divide 4.5 by 2 which gets 2.25
and then put this in the formula you get=
V=πr2h=π·2.252·16≈254.469
so the answer is 254
edit:i might be wrong feel free to correct me
Answer: 254
Step-by-step explanation:
5+2√3 / 7+4√3 = a-6√3
please answer this
[tex]~~~~\dfrac{5+2\sqrt 3}{7+4\sqrt 3} = a- 6\sqrt 3\\\\\\\implies a= \dfrac{5+2\sqrt 3}{7+4\sqrt 3}+6\sqrt3 \\\\\\\implies a=\dfrac{\left(5+2\sqrt 3 \right) \left( 7-4\sqrt 3\right)}{\left(7+4\sqrt 3 \right) \left(7-4\sqrt 3 \right)}+6\sqrt 3\\\\\\\implies a = \dfrac{35-20\sqrt 3+14\sqrt 3-24}{7^2 - \left(4\sqrt 3 \right)^2}+6\sqrt 3\\\\\\\implies a=\dfrac{11-6\sqrt 3}{49-48}+6\sqrt 3\\\\\\\implies a=11-6\sqrt 3+6\sqrt 3\\\\\\\implies a = 11[/tex]
Question 5 of 5
Roshaun kept track of the number of hours that he spent
playing his saxophone each week for several weeks. He
spent 8 25 10 and 5 hours.
What is the range of the data set?
O A 10 hours
B. Shours
C. 5 hours
OD 6 hours
SUBMIT
PREVIOUS
I need help with #1 & #2
Answer:
2. Letter B, see the attachment?
and also, I can't answer the #1 because I can't read it. I'm sorry
Already done #1 in your other question.
#2
2x-y=4y=2x-4Comapre to slope intercept form
slope=m=2Parallel lines have equal slope
Equation in point slope form
y+11=2(x+3)y+11=2x+6y=2x-5What is the probability that a point chosen randomly inside the rectangle is in the square?
Answer:
9/308
Step-by-step explanation:
The probability is the area of the square divided by the area of the rectangle.
p = (3 in.)² / (22 in. × 14 in.)
p = 9/308
Aannswer..............
Answer:
It's telling you what to do...Um I can do this tho...
You do the first step...And you move on..It says..Across That tells you to go across. And you keep moving on. Do one step at a time.
I dk how to really help you.
Step-by-step explanation:
~XxRexXx~
The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 20 members, how many ways could the officers be chosen?
Using the permutation formula, as the order is important, it is found that the officers can be chosen in 6840 ways.
Each "position" is a different role(president, vice president and secretary), hence the order is important.
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem, 3 people will be chosen from a set of 20, hence:
[tex]P_{20,3} = \frac{20!}{17!} = 6840[/tex]
The officers can be chosen in 6840 ways.
More can be learned about the permutation formula at https://brainly.com/question/25925367
Find the equation of the line that goes through the point (2, -3) and has a slope of -1.
y = -x - 1
y = 2x - 3
y = -x - 3
y = -x + 2
Answer:
y = -x - 1
Step-by-step explanation:
soo since we already know the slope we can subsitute it to the slope form equation
y = mx + b
y = -x + b
now to find the y intercept we have to subsitute the given point
-3 = -(2) + b
-3 = -2 + b
b = -1
Answer:
y = -x - 1
Step-by-step explanation:
Using the process of elimination, we can immediately eliminate b) (y = 2x - 3).
Why? It has a slope of 2, and our answer wants a line with a slope of -1.
y = mx + b
m is the slopeb is the y-intercept.To find the line that goes through (2, -3), we substitute our 3 answer choices (A, C, and D) with 2 (for x-values) and -3 (for y-values).
(2, -3)
y = -x - 1
-3 = -2 - 1
-3 = -3
This statement is true
(2, -3)
y = -x - 3
-3 = -2 - 3
-3 = -5
This statement is false
(2, -3)
y = -x + 2
-3 = -2 + 2
-3 = 0
This statement is false
Therefore, the correct answer is a) y = -x - 1
*View the graph to verity the answer*
Hope this helps!
What is the value of K?
Answer:
k = 2.31
Step-by-step explanation:
You will use the Law of Cosine to determine the unknown angles, then you will use the Sine Rule to determine the unknown side.
Quick help please it will mean a lot if you help me :)
Answer:
Green heart is 2 and blue shape is 8.
Step-by-step explanation:
We know 1 purple drop equals 3.
So 3+3 = 6
The total weight is 16 so we can do 16-6 = 10
We have 10 left. Since we need the weight to be balanced the green heart must be 2.
Because then it would be 8 on 1 side (2 purples equals 6 and 1 heart equals 2, so 6+2=8) and 8 on the other side (8+8=16).
There are 20 machines at the gym and Manuel wants to perform exercises on 5 different machines while he is there. How many different ways can he select the machines to use?
31008
1860480
100
15504
Selection of machines is persons choice and not arranged specifically, thus we will use Combination.
⇒ 20C5
⇒ 20!/5!(20-5)!
⇒ 15504
Use combination
total ways
[tex]\\ \rm\dashrightarrow ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\dashrightarrow ^{20}C_5[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{20!}{5!15!}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{20(19)(18)(17)(16)(15!)}{5(4)(3)(2)(15!}[/tex]
[tex]\\ \rm\dashrightarrow 15504[/tex]
help w this !!!!!!!!!!
Answer:
1. BC = 24
Perimeter of ABCD = 96
3. PT = 9
ST = 7
Step-by-step explanation:
Question 1
All the side lengths of a rhombus are equal.
Therefore, BC = AB = 24
So the perimeter of ABCD = 24 × 4 = 96
Question 3
The diagonals of a rhombus bisect each other at right angles.
Bisect means to divide into two equal parts.
Therefore, PT = TR so PT = PR ÷ 2
As PR = 18 then PT = 18 ÷ 2 = 9
QT = ST so ST = QS ÷ 2
As QS = 14 then ST = 14 ÷ 2 = 7
kate has the following scores on her math test this quarter 89,79,83, and 94.if she want an average of 85 ,what musther score be on the 5th test
Someone HELP!!!!!!!!!!!
Answer:
I got x= 3
[tex]m < DBE = 64\\m < CBE =26[/tex]
Step-by-step explanation:
since x= 3,
I put 3 in the equations,
first equation,
17x + 13
17*3 + 13
=64
second equation,
32-2x
32 - 2*3
=26
cual es la inversa de la funcion f(x) = -1/2 (x + 3 )
Answer:
-2x - 3
Step-by-step explanation:
f(x) = -1/2(x + 3) is the same as y = -1/2(x + 3)
change all y terms to x terms and all x terms to y terms
So change y = -1/2(x + 3) to x = -1/2(y + 3)
Now use the new equation and slove for y
x = -1/2(y + 3)
-2x = -2· -1/2 (y + 3)
-2x = y + 3
-2x - 3 = y
Rewrite your answer y = -2x - 3
Write the equation in the inverse