Factors of 33 = 1 , 3 , 11 , 33
Factors of 36 = 1,2 . 3, 4 , 6 . 9, 12 , 18 , 36
There are 2 common factors of 33 and 36:
1 and 3
The greatest is 3
determine whether the pair of solids is similar, congruent or neither if the sides are similar State the scale factor
The pair are congruent, meaning that they're exactly equal in every ramification.
They have a scale factor of one (1) because their dimensions are exactly equal.
[tex]\begin{gathered} \text{Base ratio = }\frac{4.2\text{ in}}{4.2\text{ in}}=1 \\ \text{Height Ratio = }\frac{\text{12.3 in}}{\text{12.3 in}}=1 \end{gathered}[/tex]A gamer is observing her score, y, as she plays a video game. She currently has 3,800 points and is gaining 350 points for every minute, x, she plays.Which of the following equations can be used to describe this linear relationship? y = 350x + 3,800 y = 350x − 3,800 y = 3,800x + 350 y = 3,800x − 350
Answer:
y = 3,800 + 350x or y = 350x + 3,800 (Option 1)
Explanation:
Since she initially has a score of 3,800 then we can say that y = 3,800.
As every minute goes by, she gains 350 points. If x = number of minutes, then sh
OPTION 1
Hope that helps
what Is the inequality and final answer to the problem
We know that
• The total money to spend is $20.
,• The ride costs $5 plus $2.50 per kilometer.
,• Let's call ,d ,the distance in kilometers.
Based on the given information, we write the following inequality.
[tex]5+2.50d\leq20[/tex]Notice that $5 is an independent term since it's a fixed cost. Then, we wrote 2.50 as the coefficient of the variable d since that's the ratio of dollars per kilometers. Additionally, the inequality sign is less than or equal to since we have a restriction of $20 maximum.
Now, we solve the expression for d.
[tex]\begin{gathered} 2.50d\leq20-5 \\ 2.50d\leq15 \\ d\leq\frac{15}{2.50} \\ d\leq6 \end{gathered}[/tex]Therefore, the maximum distance you can ride for $20 is 6 kilometers.Eugenia rolls a six-sided number cube. What is the probability that she gets anumber less than 5?
GIVEN:
Eugenia rolls a six-sided number cube.
Required;
What is the probability that she gets a number less than 5?
Step-by-step solution;
For a six-sided number cube, that is, a fair die, the total possible outcomes are 6 sides.
The probability of each side of the number cube is 1 out of 6.
Also, the probability of any given event is shown by the formula below;
[tex]P[Event]=\frac{number\text{ }of\text{ }required\text{ }outcomes}{number\text{ }of\text{ }all\text{ }possible\text{ }outcomes}[/tex]For the number cube, we have four numbers less than 5. The probability of these would be as follows;
[tex]\begin{gathered} P[1]=\frac{1}{6} \\ \\ P[2]=\frac{1}{6} \\ \\ P[3]=\frac{1}{6} \\ \\ P[4]=\frac{1}{6} \end{gathered}[/tex]Therefore;
For a number less than 5;
[tex]\begin{gathered} P[<5]=\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6} \\ \\ P[<5]=\frac{4}{6} \\ \\ P[<5]=\frac{2}{3} \end{gathered}[/tex]Therefore,
ANSWER:
Option A is the correct answer
[tex]A:\text{ }\frac{2}{3}[/tex]-x + y = -13-8x - 4y =-8solve using elmanation
-x + y = -13 --------------------(1)
-8x - 4y = -8 -------------------(2)
First, we will eliminate x and then solve for y
Mulltiply through equation (1) by 8
-8x + 8y = -104 --------------------(3)
Subtract equation (3) from equation (2)
-12y = 96
divide both-side of the equation by -12
y = 8
Then, we will go ahead and eliminate y then solve for x
Multiply equation (1) through by 4
-4x + 4y = -52 -------------------(4)
add equation (4) and equation (2)
-12x = -60
Divide both-side of the equation by -12
x = 5
kelly bought p blouses. Nicole bought 3 times skirts kelly bought blouses. Which expression correctly shows the number of skirts that Nicole bought?3/pp • 3p - 33 + pnone of the above
Kelly bought p blouses.
Then, Nicole bought a number of skirts that is 3 times the number of blouses that Kelly bought.
Then, the number of skirts that Nicole bought is the product of 3 times p:
Answer: p*3
Does figure B appear to be a rigid transformation of figure A?
It does not appear to be a rigid transformation
1) Looking at those figures, we can say that B does not appear to be a rigid transformation, since a rigid transformation keeps its sizes congruent.
This looks like a Dilation, which makes the image a similar one after being dilated.
4. Solve the application problem. Find the perimeter of a picture that measures 1 yard by yard. Žyd? 24 yd & yd 2 1/2 yd 2
Option (d)
Given:
The measure of the picture is 1 yard by 2/7 yard.
The objective is to find the perimeter of the picture.
The perimeter can be calculated by sum of all the sides of the picture.
[tex]\begin{gathered} P=1+\frac{2}{7}+1+\frac{2}{7} \\ P=1+1+\frac{2}{7}+\frac{2}{7} \\ P=2+\frac{4}{7} \\ P=\frac{2(7)+4}{7} \\ P=\frac{14+4}{7} \\ P=\frac{18}{7} \\ P=2\frac{4}{7}\text{ yd} \end{gathered}[/tex]Hence, option (d) is the correct answer.
A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which therewere 2043 class attendees. The data is summarized in the table below.Class Type and Member Status of ClassAttendeesClass TypeBarreBoot CampBoxingSpinningYogaMember28417020329096Non-Member27622620493201What is the probability that an attendee does not attend a spinning class? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer
[tex]P=\frac{1660}{2043}\approx0.8125[/tex]Explanation
As we are asked for the probability that an attendee does not attend a spinning class, we would have to add all those that are not in the spinning classification and divide them over the total attendees.
Also, we can calculate the probability of attendees that attend the spinning class and subtract it from 1.
0. Calculating the probability of attendees that attend the spinning class
We are given that 290 members and 93 non-members assist in the spinning class, and we are told that the total of attendees are 2043, thus:
[tex]P=\frac{290+93}{2043}[/tex][tex]P=\frac{383}{2043}\approx0.1875[/tex]2. Calculating the probability that an attendee does not attend a spinning class
As in the last part we calculated the probability of attendees that attend the spinning class, to calculate the probability that an attendee does not attend a spinning class we have to subtract the latter from 1 as follows:
[tex]P=1-\frac{383}{2043}=\frac{1660}{2043}\approx0.8125[/tex]1.) Decide which of the expressions below can be seenas a difference of squares and can therefore befactored using Shinna's shortcut.2.) If it can be seen as a difference of squares, showthe squares clearly and then write the product.An example has been done for you,a.)ExpressionDifferenceofSquares?Written asSquaresWritten as a ProductExample1032 - 9y?Yes(4x)2 – (3y)(4x – 3y) (4x + 3y)12 - 46²il27 - 10هر -46² +96²b.) Write two more expression of your own that aredifferences of squares and show each in factored form.Submit
Letter
B
[tex]x^2-16=(x)^2-(4)^2=(x-4)\cdot(x+4)_{}[/tex][tex]x^2-100=(x)^2-(10)^2=(x-10)\cdot(x+10)[/tex]what is 15 times 9 and how do I mutply it
15 times literally means adding 15 nine times
HELP PLEASE !!!!!!!!!
Answer:
choice A
Step-by-step explanation:
194/1000 = 0.194
194/999 = 0.194 repeating
194/100 = 1.94
194/99 = 1.95 repeating
Find dy/dx by implicit differentiation. 2y - x + xy = 3 1-Y 2 + x X + 2 X + 2 O y+1 X + 2
Let's do the implicit differentiation:
[tex]\begin{gathered} \frac{d}{dx}(2y-x+xy)=\frac{d}{dx}3 \\ \frac{d}{dx}(2y)-\frac{d}{dx}x+\frac{d}{dx}(xy)=0 \\ 2\frac{dy}{dx}-1+(y+x\frac{dy}{dx})=0 \\ 2\frac{dy}{dx}+x\frac{dy}{dx}=1-y \\ (2+x)\frac{dy}{dx}=1-y \\ \frac{dy}{dx}=\frac{1-y}{2+x} \end{gathered}[/tex]Therefore, the answer is the first one.
find the equation of a line passes through the points (-2,11) and (-2,-6) write in standard form
We will find the equation of the line as follows:
*First: We calculate the slope of the line:
[tex]m=\frac{-6-11}{-2-(-2)}\Rightarrow m=\infty[/tex]*Second: We can see that the slope is undefined and therefore a constant line [Vertical in this case].
So, the equation of the line is:
[tex]x=-2[/tex]This graphically is:
Solve the equation using number sense 5w + 10 = 40
Given:
[tex]5w+10=40[/tex]Solve for w then:
[tex]\begin{gathered} 5w+10=40 \\ 5w=40-10 \\ 5w=30 \\ w=\frac{30}{5} \\ w=6 \end{gathered}[/tex]I need help with my math
Given
Pool of equations
Procedure
[tex]\begin{gathered} 2y=-1x-8 \\ y=\frac{-1x-8}{2} \\ y=-\frac{1}{2}x-\frac{8}{2} \\ y=-\frac{1}{2}x-4 \end{gathered}[/tex][tex]\begin{gathered} y-4=-3(x-3) \\ y-4=-3x+9 \\ y=-3x+9+4\rbrack \\ y=-3x+13 \end{gathered}[/tex][tex]\begin{gathered} 0.2x+0.3y=0.5 \\ 0.3y=0.5-0.2x \\ y=\frac{-0.2x+0.5}{0.3} \\ y=-\frac{0.2x}{0.3}+\frac{0.5}{0.3} \\ y=-\frac{2}{3}x+\frac{5}{3} \end{gathered}[/tex][tex]\begin{gathered} \frac{1}{4}y+3=-5x \\ \frac{1}{4}y=-5x-3 \\ y=4(-5x-3) \\ y=-20x-12 \end{gathered}[/tex]
hi, can you help me answer this question, please, thank you:)
The question requires that we use the binomial probability distribution
To do this, we will use the binomial formula
[tex]^nC_r\times P^r\times q^{n-r}[/tex]Where
[tex]\begin{gathered} P=\text{ probability of success} \\ q=\text{ probabilty of failure} \\ n=\text{ number of times} \\ \end{gathered}[/tex]In our case
[tex]P=76\text{ \%=}\frac{76}{100}=0.76[/tex][tex]\begin{gathered} q=1-p=1-0.76=0.24 \\ q=0.24 \end{gathered}[/tex][tex]n=12[/tex]For the first question,
We are told to find the probability that exactly 6 jurors are Asian American
In this case,
[tex]\begin{gathered} r=6 \\ \end{gathered}[/tex]So applying the formula
[tex]\begin{gathered} (P=6)=>^{12}C_6\times0.76^6\times0.24^{12-6}=^{12}C_6\times0.76^6\times0.24^6 \\ \\ (P=6)\Rightarrow924\times0.1927\times1.911\times10^{-4}=0.0340 \\ \\ \end{gathered}[/tex]Thus, the probability that exactly 6 jurors are Asian American =0.0340
For the second question
We are told to find the probability of 6 or fewer than 6 are Asian Americans
[tex]\begin{gathered} \text{When r=0} \\ (P=0)\Rightarrow^{12}C_0\times0.76^0\times0.24^{12}=^{12}C_0\times0.76^0\times0.24^{12} \\ (P=0)=1\times1\times3.65^{}\times10^{-8} \\ P\text{ is appro}\xi mately\text{ 0} \end{gathered}[/tex]We will repeat this for when r=1, 2, 3, 4, 5 and 6
And then we will sum the values up
[tex]\begin{gathered} \text{When r=1} \\ P=\text{appro}\xi\text{mately 0} \end{gathered}[/tex][tex]\begin{gathered} when\text{ r=2} \\ P\approx0.0002 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=3} \\ P\approx0.00026 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=4} \\ P\approx0.00182 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=5} \\ P=0.00921 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=6} \\ P=0.03403 \end{gathered}[/tex]Then
The probability of 6 or fewer than 6 are Asian Americans = P(0)+P(1)+P(2)+P(3)+P(4)+P(5)+P(6)
Thus,
The probability of 6 or fewer than 6 are Asian Americans = 0+0+0.00002+0.00026+0.00182+0.00921+0.03403=0.04534
The probability of 6 or fewer than 6 is Asian Americans=0.04534
For the third part
The probability of more than 10 will be
The sum of the probabilities when r = 11 and r =12
[tex]\begin{gathered} \text{when r=11} \\ ^{12}C_{11}\times0.76^{11}\times0.24^{12-11}=^{12}C_{11}\times0.76^{11}\times0.24^1=0.14072 \end{gathered}[/tex][tex]\begin{gathered} \text{when r=12} \\ ^{12}C_{12}\times0.76^{12}\times0.24^{12-12}=^{12}C_{12}\times0.76^{12}\times0.24^0=0.03713 \end{gathered}[/tex]Thus, the total probability = P(11) + P(12)= 0.14072 +0.03713 = 0.17785
Hence,
The probability of more than 10 Asian-Americans will be = 0.17785
survey was taken to determine the favorite subjects of 8th graders. The results are shown in the graph. About what percent of students chose Social Studies as their favorite subject?social studies 75 PE 40 art 20 English 59 math 48 a. 48% b. 30% c. 53% d. 72%
Mr. Robledo has 10 credit cards. He pays an annual fee of $50 each for use on three of the cards and four of the cards have a $45 annual fee. The remainingthree cards have no annual fee. How much should he budget each month to pay the annual fees on his ten credit cards?$25.70 per month$28.30 per month$26.90 per month$27.50 per monthNone of these choices are correct.
Answer:
$27.50 per month
Explanation:
The annual fees paid by Mr. Robledo are listed below:
• $50 on 3 of the cards
,• $45 on 4 of the cards
First, determine the total annual fee:
[tex]\begin{gathered} \text{Total}=(50\times3)+(45\times4) \\ =150+180 \\ =\$330 \end{gathered}[/tex]Next, divide by 12 to calculate the monthly budget.
[tex]\begin{gathered} \text{Monthly Fee}=\frac{330}{12} \\ =\$27.50 \end{gathered}[/tex]Mr. Robledo should budget $27.50 per month.
what is the driving time for a 2100-mile trip if you drive at an average speed of 65 miles per hour?
Given data:
The given distance is d=2100-mile.
The given speed is s=65 miles per hour.
The expression for speed is,
[tex]\begin{gathered} s=\frac{d}{t} \\ t=\frac{d}{s} \end{gathered}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} t=\frac{2100\text{ miles}}{65\text{ miles/hour}} \\ =32.30\text{ hours} \end{gathered}[/tex]Thus, the value of time is 32.30 hours.
Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 507 and standarddeviation 108. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with asample of size 100 each time, the mean of the average scores will get close to
SOLUTION
The central limit theorem (CLT) states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution. Sample sizes equal to or greater than 30 are often considered sufficient for the CLT to hold.
From this theorem, since the sample size (100) is greater than 30, the theorem holds true. So the mean of the average score will still be or get close to 507.
Hence the aswer is option B
Use PEMDASto solve the following:6 4(8-3)² + 15-
Given the following question:
Using PEMDAS
P - Parentheses
E - Exponent
M - Multiplication
D - Division
A - Addition
S - Subtraction
To solve a equation using PEMDAS you will go up at P, to down with S. You go in a straight line and solve the equation step by step.
6 - 4(8 - 3)^2 + 15
First P
8 - 3 = 5
6 - 4 * 5^2 + 15
E is next
5^2 = 5 * 5 = 25
6 - 4 * 25 + 15
M is next
4 * 25 = 100
6 - 100 + 15
D is next but there is no D
6 - 100 + 15
A is next
100 + 15 = 115
6 - 115
Now we have s
6 - 115 = -79
= -79
Your answer is -79.
Let f(x)=x/(x-6). Find a function y=g(x) so that (fog)(x)=2x.
solve as a simultaneous equation maybe?
f(x) + g(x) = 2x or x/(x-6) + y =2x
and then solve so it becomes 2x^2 + 5x =y
then factorise into brackets or use quadratic formula
Step-by-step explanation:
Jayla earns $280.80 for selling $2340 worth of tee shirts. What is the commissionrate? *(2 Points)10%11%Ο Ο Ο13%12%
The selling price is
[tex]=\text{ \$2340}[/tex]The commission is
[tex]=\text{ \$280.80}[/tex]The percentage commission can be calculated using the formula below
[tex]\text{percentage commission= }\frac{\text{commission}}{\text{selling price}}\times100\text{ \%}[/tex]Substituting the values in the formula above, we will have
[tex]\begin{gathered} \text{percentage commission= }\frac{\text{commission}}{\text{selling price}}\times100\text{ \%} \\ \text{percentage commission}=\frac{280.80}{2340}\times100\text{ \%} \\ \text{percentage commission =}\frac{\text{28080}}{2340} \\ \text{percentage commission}=12\text{ \%} \end{gathered}[/tex]Hence,
The final answer is OPTION D
Johnson Accounting wants to buy 1,488 chocolate truffles for a party. If there are 93 truffles in each box, how many boxes of truffles should the company buy?
1box------------------------>93truffles
?boxes--------------------->1488truffles
Using cross-multiplication:
[tex]undefined[/tex]Find the perimeter of a rectangle that has an area of 14c2 − c − 4 and its width is 2c + 1.
You have a rectangle with the following expressions for the area and the width:
Area: A = 14c² - c - 4
width: w = 2c + 1
Take into accoint that the area of a rectangle is the product between its width and length.
A = w·l
if you divide the area over the width you obtain the length:
l = A/w
then, divide the expressions for A and w, in standard division form, as follow:
14c² - c - 4 | 2c + 1
-14c²-7c 7c - 4
-8c - 4
8c +4
0
then, the result is 7c - 4, which is the expression for the length of the rectangle:
length: l = 7c - 4
Now, consider that the perimeter of the rectangle is given by:
P = 2w + 2l
replace the expressions for w and l:
P = (2c + 1) + (7c - 4) open parenthesis
P = 2c + 7c +1 - 4
P = 9c - 3
Hence, the permeter
For the function f(x)=5x-2, find f^-1(x)
Answer:
[tex]f^{-1}(x)=\frac{x+2}{5}[/tex]Explanation:
Given the below function;
[tex]f(x)=5x-2[/tex]We can go ahead and find the inverse of f(x) following the below steps;
Step 1: Replace f(x) with y;
[tex]y=5x-2[/tex]Step 2: Interchange x and y;
[tex]x=5y-2[/tex]Step 3: Solve for y by adding 2 to both sides of the equation and dividing both sides by 5;
[tex]\begin{gathered} x+2=5y-2+2 \\ x+2=5y \\ \frac{x+2}{5}=y \\ y=\frac{x+2}{5} \end{gathered}[/tex]Step 4: Replace y with f^-1(x);
[tex]f^{-1}(x)=\frac{x+2}{5}[/tex]Allen is taking a 150 mile trip by Car. If he drives for 2 hours with the average of 60 miles per hour, how many miles will he still need to drive to complete his trip?A.90B.300C.30D.120
ANSWER
C. 30 miles
EXPLANATION
Allen is taking a 150 mile trip and he has already driven for 2 hours at an average speed of 60 miles per hour.
To find how many miles he will still need to drive, we have to first find how many miles he has driven.
We have that:
[tex]\begin{gathered} \text{Speed = }\frac{dis\tan ce}{time} \\ \Rightarrow\text{ distance = spee}d\cdot\text{ time} \end{gathered}[/tex]Therefore, we have that the distance he has driven is:
distance = 60 * 2
distance = 120 miles
Now, we subtract the distance he has driven from the total distance of the trip. That is:
Distance remaining = 150 - 120
Distance remaining = 30 miles
He will still need to drive 30 miles.
Please help me solve this problem. I am looking for the coordinates for A’, B’ and C’
ANSWER
• A'(-10, 0)
,• B'(-6, 2)
,• C'(-8, -2)
EXPLANATION
This vector is written as:
[tex]\langle-6,-4\rangle[/tex]This means that if we use this vector to translate a figure, we have to move each point of the figure 6 units to the left and 4 units down.
The vertices of triangle ABC are:
[tex]\begin{gathered} A(-4,4) \\ B(0,6) \\ C(-2,2) \end{gathered}[/tex]To each x-coordinate we have to subtract 6 units in order to translate these points 6 units to the left, and to each y-coordinate we have to subtract 4 units in order to translate these points 4 units down:
[tex]\begin{gathered} A^{\prime}(-4-6,4-4)=(-10,0) \\ B^{\prime}(0-6,6-4)=(-6,2) \\ C^{\prime}(-2-6,2-4)=(-8,-2) \end{gathered}[/tex]Which recipe is for the strongest tasting mixture? Mixture 21 Use the sketchpad to show your thinking. Mixture 3 Mixture 1 Х Mixture 1: 1 cup of water with 1 tsp of powdered drink 2 mix Mixture 2: 2 cups of water with 1 2 tsp of powdered drink mix Mixture 3: 1 cups of water with tsp of powdered drink mix
Option A is the answer
The mixture of 1 cup of water and 1 1/2 tsp of