Answer:
Marta can arrange a maximum of 3 plates.
Solution:
Given, Marta has just moved to a new town and wants to share plates of baked goods with her neighbors.
She has 18 cookies and 15 brownies to share, and wants to split them equally among the plates with no food left over.
We have to find what is the greatest number of plates she can make to share?
Now, let the number of brownies per each plate be n.
Then, number of plates used =
Here, n is number of brownies per plate and is number of cookies per plate.
So, both n and should be whole numbers. Then, for to be whole number 6n must be an multiple of 5.
And to be particular, n should be a multiple of 5 as 6 is not multiple of 5.
So, possible n values are, 5, 10, 15. We need not take above 15 as number of brownies available are 15
In order to arrange in more plates we have to take less count in single plate. Then, n = 5.
Now, number of plates
Hence, Marta can arrange a maximum of 3 plates.
The slope of the line below is 3. Write the point-slope equation for the line
using the coordinates of the labeled point. (6’8)
Answer:
y - 8 = 3(x - 6)
Step-by-step explanation:
Point slope-equation formula:
y - y1 = m(x - x1)
y - 8 = 3(x - 6)
QUESTION 10 of 10: You learn that you can buy a used robot for $25,000. The robot can replace two people doing assembly work that are
paid $19 per hour. About how long would it take for the robot to pay for itself in labor savings?
0000
O a) 640 hours
b) 658 hours
c) 712 hours
d) 755 hours
Answer:
B. 658 Hours
Step-by-step explanation:
All you do is divide.
$19 for every hour, it's 2 persons so,
$38 for every hour.
so,
25,000/38
= 657.894736842 which is about 658 so,
= 658 Hours
It would take 658 hours for the robot to pay for itself in labor savings
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The robot can replace two people doing assembly work that are paid $19 per hour.
Let us assume it would take x hours for the robot to pay for itself in labor savings
(19 + 19)x = 25000
38x = 25000
x = 657.9
It would take 658 hours for the robot to pay for itself in labor savings
Find out more on equation at: https://brainly.com/question/2972832
6.If Addison types at a constant rate of 2 pages per hour, how many hours will it take to
type a paper that is 5 pages long?Immersive Reader
(20 Points)
0.4 hour
2.5 hours
5 hours
10 hours
Answer:
2.5 hours
Step-by-step explanation
it takes 1/2 a hour to write one page so do
5 x 1/2 which is 2.5 since there are 5 pages
The cost of a barrel of beans, b, fluctuates by 17% in both directions during a three-month period. Match each verbal description of the high and low cost of a barrel of beans with all
Answer:
b is increased by 17% : A and E
b is decreased by 17%: H and J
Step-by-step explanation: took the test
You wonder if weather (rain, cloudy or sunny) makes a difference on mood (happy or not). To determine this, you sample the moods of 200 people on a sunny day, 200 people on a rainy day and 200 people on a cloudy day and record whether they were happy or not. You then want to do a chi square test on this data. What are the degrees of freedom?
Answer:
2
Step-by-step explanation:
Drawing a table to show the different weather and mood options :
The degree of freedom :
________ WEATHER ________
__________Rain ____ sunny _____ cloudy
Happy
|
Not happy
Here, we have a contingency table formatted in rows and columns
The columns = 3
The rows = 2
Degree of freedom :
(rows - 1) * ( columns - 1)
(2 - 1) * (3 - 1)
1 * 2
= 2
The degree of freedom = 2
The population of Linton is 12 times as great
as the population of Ellmore.
The combined
population of both towns
is 9,646 people. What
the population of Linton
Answer:
8904 People
Step-by-step explanation:
We start by the equation L = 12E, where L represents the population of Linton and E represents the population of Ellmore. We then set L + E = 9646, but since L = 12E, we then get 12E + E = 9636, or 13E = 9646. Therefore, E = 742. L = 12E, so L = 8904.
the standard iq test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that
Answer:
A sample of 153 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is 15 for the population of all adults.
This means that [tex]\sigma = 15[/tex]
We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean.
This means that a sample of n is needed.
n is found when M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 2
[tex]\sqrt{n} = 1.645*7.5[/tex]
[tex](\sqrt{n})^2 = (1.645*7.5)^2[/tex]
[tex]n = 152.2[/tex]
Rounding up:
A sample of 153 is needed.
PLEASE HELP ASAP!!!!!!!
Answer:
the wrong one is the last one
Step-by-step explanation:
because 9 times 40 doesnt = 350 it equals 360
red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 5 or 9, you win $6. If the sum is 6, 7, or 12, you win $2. If the sum is any other value (2, 3, 4, 8, 10, or 11), you lose $4. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.2222.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] possible outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3);
Sum of 12: (6,6)
Probabilities:
4 + 4 = 8 outcomes with a sum of 5 or 9.
8/36 = 2/9 probability of a sum of 5 or 9.
12 outcomes with a sum of 6, 7 or 12.
12/36 = 1/3 probability of the sum being 6, 7 or 12.
36 - 20 = 16 outcomes in which the sum is any other value. So
16/36 = 4/9 probability of a sum of any other value.
What is the expected value of X?
2/9 probability of earning $6.
1/3 = 3/9 probability of earning $2.
4/9 probability of losing $4.
Multiplying each outcome by its probability, we find the expected value. So
[tex]E = \frac{2}{9}*6 + \frac{3}{9}*2 - \frac{4}{9}*4 = \frac{12 + 6 - 16}{9} = \frac{2}{9} = 0.2222[/tex]
The expected value of X is $0.2222.
A saleswoman earns a 30% commission on all the merchandise that she sells. Last month she sold $400 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
$270
Step-by-step explanation:
Answer:
$120.00
Step-by-step explanation:
She earned $120 because 30% of 400 is 120.
Sorry if I'm wrong.
Please mark me as Brainliest.
Find the surface area of the prism. 5cm 7cm 4cm
Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)
Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees
Answer:
Segment CED has greater areaStep-by-step explanation:
Circle AArea of ΔCAD, right triangle:
A = 1/2*10*10 = 50 m²Area of the sector CAD:
A = 1/4*π*10² = 78.54 m²Area of segment CED:
A = 78.54 - 50 = 28.54 m²Circle BArea of ΔCBD, equilateral triangle:
A = √3/4*12² = 62.36 m²Area of sector CBD:
A = 1/6*π*12² = 75.40 m²Area of segment CFD:
A = 75.40 - 62.36 = 13.04 m²Compare the areas of the segments:
CED = 28.54 > CFD = 13.04Answer:
for 1 st
area of segment CAD=90/360×π×10²=78.54m²
for second
area of segmentBCD=60/360×π×12²=75.4m²
so
CAD has greater area
The wholesale price of an X-BOX-X is $400.00 .It was then marked up 30% and sold online. What is the online price?
Answer:
$520
Step-by-step explanation:
1% of x is x times 0.01.
that means 10%of x is x times 0.1.
400 times 0.1 is 40.
40 is 10% of 400.
it was marked up by 30% so we need to times by 3.
40 times 3 is 120.
it was marked up so its addition.
400+120=520
A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?
Answer:
$1439.16
Step-by-step explanation:
1.) 15% of 1575
1575 x 0.15 = 236.25
1575 - 236.25 = 1338.75
So 15% of $1575 = $1338.75
2.) $1338.75 with sales tax if 7.5%
1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41
1338.75 + 100.41 = 1439.16
so you answer is $1439.16
The sum of two numbers is 90. The difference of the two numbers is 34. What are the two numbers.
Answer:
part a: 45
part b: 102 and 68
Step-by-step explanation:
use a long method division to calculate 145 413 by 321
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
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plz help will give crown
D 8m = 48
divide by 8 both sides so we can isolate m
answer
m= 6
Which is the graph of linear inequality x + 2y <= 12
Answer:
B
Step-by-step explanation:
i got a 95% so i thinks its right
HELP ME PLS I NEED HELP ALSO I NEED A SHOW YOUR WORK BUT PLS HELP
Step-by-step explanation:
6 y = mx + b
7. m
8. b
9a m = 4 (slope), b = 12(yintercept)
9b -1. 4
9c 8. 21
9d 12. 9
The green arcs show a pair of SAME SIDE INTERIOR ANGLES.
Drag the two black points to show another pair.
Same side interior angles are:
Always congruent
Sometimes congruent
Never congruent
Explain your thinking.
Trying this one more time someone please hel
Answer:
G
Step-by-step explanation:
Select G, it does not show ratio of students to teachers is 13:3.
3s=13t means 3 students to 13 teachers
There is a bag of marbles that contain 5 blues, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a blue marble
Answer:
[tex]\frac{5}{16}[/tex]
Step-by-step explanation:
1) Find the total number of marbles
5 blue + 6 red + 3 black + 2 yellow
= 16 marbles
2) To find the probability of selecting a blue marble, divide the number of blue marbles by the number of total marbles:
5 blue marbles ÷16 marbles
[tex]= \frac{5}{16}[/tex]
Therefore, the probability of selecting a blue marble is [tex]\frac{5}{16}[/tex].
I hope this helps!
Someone please help me and explain it in simple words please and thank you.
Answer:
if you have a calculator above ti 84 you can enter integrals by pressing alpha window and selecting the integral option other than that it is not simple on paper you should look up a vid but it will take at least 15 mins to learn
alt optio. is to use wolfram alpha it works great you just input your problem
An object is spinning around a circle at a rate of 420 revolutions per minute. If the circle has a diameter of 8 feet, what is its angular speed in degrees per minute. Do not add the units into your answer.
Answer:
Step-by-step explanation:
This seems more like a physics questions, but i'll help you :P
the circle is 8 feet across or a radius of 4 feet
circumference of the circle is 2[tex]\pi[/tex]r = 25.132741 feet
it's going around 420 times a minute
420 * 25.132741 = 10555.75132 feet per minute
10,555.75
I’ll give brainliest
Answer:
oh delete my answer ;-;
Step-by-step explanation:
The sum of N and the product 5 times n is 24. What is the value of n?
Answer: n = 4
Step-by-step explanation:
We will first write a mathematical equation to represent the situation. Then, we will solve it.
The sum of n → Sum means addition, so "n +"
product of 5 times n → Product and times means multiplication, so "5n"
is 24 → Is represents equals, so "= 24"
The sum of N and the product 5 times n is 24 → n + 5n = 24
Now that we have our equation, we can solve. We will do this by adding n and 5n, then dividing both sides of the equation by 6.
n + 5n = 24
6n = 24
n = 4
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
26.5 multiplied by 0.38
Answer:
10.07
Step-by-step explanation:
26.5 x 0.38 = 10.07
Can I get brainliest
eric purchased n notebook. they were 4 dollars each. write an equation to represent the total cost c that eric paid.
Answer:
N = 4
Step-by-step explanation:
Which of the following names of geometric objects does The order of letters not matter
9514 1404 393
Answer:
B. line AB
Step-by-step explanation:
The terminal point must be named first when naming a ray.
The vertex must be named in the middle when naming an angle.
The order of points does not matter when naming a line.