A brick layer can build a wall in 6 hours and his apprentice would need 16 hours to build the same wall. When they work together, the apprentice works 5 hours longer than the brick layer. How many hours does each work
Answer:
Step-by-step explanation:
The brick layer builds ( 1 wall ) / ( 6 hrs )
That's the same as ( 1/6 wall ) / ( 1 hour )
------------------------------------
The apprentice builds ( 1 wall ) / ( 16 hrs )
That's the same as ( 1/16 wall ) / ( 1 hour )
--------------------------------------
Let t = the time that the brick layer works
t + 5 = the timer the apprentice works
-----------------------------------------
( brick layer's rate ) x ( brick layer's time ) +
( apprentice's rate ) x ( apprentice's time ) = 1
( 1 is the whole job )
-----------------------------------------
(1/6) · t + (1/16) · (t + 5) = 1
Multiply both sides by 48
8t + 3t + 15 = 48
11t = 33
t = 3
t + 5 = 8
the brick layer works 3 hrs
The apprentice works 8 hrs
----------------------------
Check:
(1/6) · t + (1/16) · (t + 5) = 1
(1/6) · 3 + (1/16) · (3 + 5) = 1
1/2 + 1/2 = 1
OKPLEASE HURRY (NEED ANSWER ASAP)
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let p and q represent the length of the diagonals.
Hence:
[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
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1/4 of the students in guitar class attended class today. Only 3/4 of the students share guitars. What fraction of the class shares guitars?
Answer:
3/16 of the class share guitars today.
Step-by-step explanation:
1/4 x 3/4 = 3/16! :)
If the couple purchase the house and make all their payments, what is their total cost of the house?
$256,000
$443,504
$513,765
$328,650
Answer:
1,514,919
Step-by-step explanation:
I just used a calculator cuz in 6th you can use one but here's the answer
Answer:
If the couple purchases a house and they made all their payments, their total cost of the house would be $1,541,919.
Explanation:
$256,000
$443,504
$513,765
$328,650 +
------------------
$1,541,919
What is Mean, median and mode of these numbers below?
25
25
25
25
50
50
125
125
125
375
Answer:
Mean: 95, Median: 50 Mode: 25
Step-by-step explanation:
1.Mean: add all the numbers then divide by the number of numbers there
25+25+25+25+50+50+125+125+125+375= 950
950 divided by 10 = 95
2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two
50+50=100 100/2 = 50.
3. Mode : this is the most recurring number there and in this case it's 25
Thank you for answer, if you do
The majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.
What is the meaning of dot plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The data given in the table is-
3.01, 3.26, 3.26, 3.79, 4.26, 4.34, 5.17, 5.94, 5.94, 5.94, 5.94, 7.14, 7.54, 7.90, 8.03, 9.15, 10.25, 11.98, 12.84, 19.86
The majority of data is between 3.01 to 7.90. The percentage of these data values to total data is 70%.
When data is represented in dot plot, then the distribution is a normal distribution. The data set has the value of median and mode equal to 5.94.
Median=5.94
Mode=5.94
Thus, the majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.
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A bakery produces eight different kinds of pastry, one of which is eclairs. Assume there are at least twenty five pastries of each kind. Suppose the bakery has only ten eclairs but has at least twenty five of each of the other kinds of pastry. Suppose in addition to having only ten eclairs, the bakery has only eight napoleon slices. How many different selections of twenty five pastries are there
There are 142506 different selections of twenty-five pastries
How to determine the number of different selections?The given parameters are:
Pastry, n = 6Pastries to select, r = 25The number of different selections is calculated using:
[tex]C(n + r - 1,r) = \frac{(n + r - 1)!}{r!(n - 1)!}[/tex]
The above formula is used because repetitions are allowed.
So, we have:
[tex]C(6 + 25 - 1,25) = \frac{(6 + 25 - 1)!}{25!(6 - 1)!}[/tex]
Evaluate the sum and difference
[tex]C(30,25) = \frac{30!}{25!5!}[/tex]
Evaluate the expression
C(30,25) = 142506
Hence, there are 142506 different selections of twenty-five pastries
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Julia earned $2,000 during the month of September. Use the paycheck statement to find the missing amounts and percent rates of the taxes Julia paid. I WILL MARK BRAINLIEST. only want answers
Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Julia paid to social security as a payroll tax = 6.2% of 2000
= (6.2×2000)/100
= $124
Julia paid to Medicare as a payroll tax = 1.45% of 2000
= (1.45×2000)/100
= $29
Julia paid a percent of her income to the federal government as an income tax:
= (260/2000)×100
= 13%
Julia paid a percent of her income to state government as an income tax:
= (120/2000)×100
= 6%
Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
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Make sure your answer is in
degrees. You should be able to
find this without a calculator.
-
cos ¹(cos 43°) = [? ]°
Answer:
[tex]\cos^{-1}( \cos 43^{\circ}) = 43^{\circ}[/tex]
Step-by-step explanation:
The correct answer of the given function [tex]cos^{-1}[/tex] (cos 43°) will be 43°.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
We know that the inverse trigonometric function of any function will vanish.
[tex]cos^{-1}[/tex] (cos 43°) = 43° cos inverse has vanished with cos and thus 43° is coming out to be the answer.
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Consider the summary statistics from the previous question. The residents pay $0.015 per gallon of usage. What is the standard deviation of the amount paid for monthly water usage
The standard deviation of the amount paid for monthly water usage is $35.25
How to determine the standard deviation?From the summary statistics, we have:
Standard deviation, σ = 2350
Rate = $0.015
The standard deviation of the amount is calculated using:
σ = Standard deviation * rate
This gives
σ = 2350 * $0.015
Evaluate
σ = $35.25
Hence, the standard deviation of the amount paid for monthly water usage is $35.25
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What is the approximate solution to this equation? 4inx-8=12
Answer:
[tex]x=e^5\approx148.413[/tex]
Step-by-step explanation:
[tex]4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5[/tex]
What is the missing number in the table?
x
1
2
3
4
5
y
6
36
216
???
7,776
252
396
864
1,296
A group of friends were working on a student film. They spent $504 on props, which was 42% of their total budget. What was the total budget for their student film?
8 oz of cream cheese for $1.98 or 1 pound for 3.75?
There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75
5 Air bags in a car 'explode' at 340 km/h.
a Convert this to metres per second.
b How long would the air bag take to move 10 cm?
Give your answer to the nearest thousandth of a second.
Answer:
a. 94.444 m/s
b. 0.001 s
Step-by-step explanation:
We know that:1 km = 1000 m & 1 h = 3600s#a
Explosion speed of air bag = 340 km/h-> Explosion speed of air bag [tex]= 340\times \frac{1000\: m}{3600 \:s}[/tex]-> Explosion speed of air bag [tex]= 94.444\: m/s[/tex]#b
Speed = 94.444 m/s = 9444.4 cm/sDistance = 10 cmFormula relating time speed and distance is given as:[tex] Time =\frac{distance}{speed}[/tex][tex]\implies Time =\frac{10}{9444.4}[/tex][tex]\implies Time =0.00105882851 \: s[/tex][tex]\implies Time \approx 0.001\: s[/tex]please can someone do this for me? thanks alot x
Answer:
Learning Objective: Use the mean and range to compare the spread and averages.
a) Sarah Mean = 70.9, Katie Mean = 78.9
b) Sarah Range = 15, Katie Range = 25
c) Sentences
- The mean shows, on average, Sarah was 8 seconds quicker than Katie.
- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Given:
Sarah's Data Set:
79, 70, 68, 75, 69, 64, 69, 75, 64, 76Katie's Data Set:
79, 79, 76, 81, 89, 76, 64, 85, 82, 78To Find:
The mean and range of both data sets separately.Work:
The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is [tex]\mu = \frac{{\sum}x}{N}[/tex].
The formula for the mean of a sample is [tex]\bar{x} = \frac{{\sum}x}{n}[/tex].
Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: [tex]\frac{709}{10} = 70.9[/tex]
Therefore, the mean of Sarah's data set is 70.9.
For Katie's Data Set, [tex]\frac{789}{10} = 78.9[/tex].
Therefore, the mean of Katie's data set is 78.9.
To fill in the summary, we have to use the data we just calculated.
That summary can be found in the answer section.
Answer:
Sarah's mean = 70.9
Katie's mean = 78.9
Sarah's range = 15
Katie's range = 25
The mean shows that on average Sarah was 8 seconds faster than Katie. The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.
Step-by-step explanation:
Identifying the mean time for Katie and Sarah
The mean ( average ) is equal to the sum of the numbers in the data set ( the sum of the swimming times ) divided by the number of values in the data set ( which is given as 10 )
Mean for Sarah : Sum of her swimming times : 79 + 70 + 68 + 75 + 69 + 64 + 69 + 75 + 64 + 76 = 709
Number of values = 10
So mean = 709 / 10 = 70.9 seconds.
Mean for Katie : Sum of her swimming times : 79 + 79 + 76 + 81 + 89 + 76 + 64 + 85 + 82 + 78 = 789
number of values = 10
so mean = 789 / 10 = 78.9
Using this information we can identify what the first to blanks are. The mean shows that on average Sarah was ___ seconds ____ than Katie.
The mean time for Sarah was 70.9 seconds and the mean time for Katie was 78.9 seconds. So on average Sarah was faster and by 8 seconds ( which can be found by subtracting Sarah's mean from Katie's )
Identifying the range
The range is equal to the largest value ( longest swim time ) subtracted by the smallest value ( or quickest swim time )
Range for Sarah : Sarah's highest swim time is 79 seconds and her lowest is 64 seconds.
So her range = 79 - 64 = 15 seconds
Range for Katie : Katie's highest swim time is 89 seconds and her lowest time is 64 seconds
So her range = 89 - 64 = 25
Using this information we can fill out the remaining blanks.
The range shows that ____ was more consistent with her times. ___ had a larger spread of times which shows she was ____ consistent.
The higher the range the less consistent you are vise versa. Katie had a larger range hence, Sarah was more consistent and Katie was less consistent.
Solve by completing the square.
y² +10y = -9
Answer:
y=−1 or y=−9
Step-by-step explanation:
y2+10y=−9
Step 1: Subtract -9 from both sides.
y2+10y−(−9)=−9−(−9)
y2+10y+9=0
Step 2: Factor left side of equation.
(y+1)(y+9)=0
Step 3: Set factors equal to 0.
y+1=0 or y+9=0
y=−1 or y=−9
Answer:
y=−1 or y=−9
Answer:
Here is the ans ..hope it helps:)
Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution method to answer the question.
Answer:
18 quarters = $4.50
8.00-4.50=3.50
10 dimes+10 quarters=$3.50
Answer= you have 10 dimes and 28 quarters
Step-by-step explanation:
Answer:
You would have 18 quarters and 35 dimes
Step-by-step explanation:
At the beginning of the school year, Tyrone bought 12 notebooks for a total price of 19.56.Jaime went to the same store and bought 5 notebooks. How much did jaime spend
alia is shopping for school clothes she want to buy 5 T-shirts for 6 each and pair of shoes for 20 she thinks that she will spend about 30 is the answer reasonable
Answer:
it's not reasonable because the t-shirts alone cost 30 and the shoes cost 20 so it would cost 50 altogether.
7. A square pyramid has a height that is 8 centimeters
long and a base with sides that are each 9
centimeters long. Find the volume of the pyramid.
The volume of the square pyramid will be equal to V = 648 square centimetres.
What is Volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
Given that:-
A square pyramid has a height that is 8 centimeters long and a base with sides that are each 9.The volume will be calculated as:-
V = L x W x H
V = 9 x 9 x 8
V = 648 square centimters.
Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.
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I NEED Helppp PLEASE!!!
The given expression [tex]3 \dfrac{6}{5}[/tex] can be written as [tex]\sqrt[5]{3^6}[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given value can be written as:-
[tex]3\dfrac{6}{5} = \sqrt[5]{3^6}[/tex]
Therefore the given expression [tex]3 \dfrac{6}{5}[/tex] can be written as [tex]\sqrt[5]{3^6}[/tex].
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HI GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN IM SORRY ITS SO LATE
Answer:
100°
Step-by-step explanation:
[tex] In\:right\:\triangle GHI \:\&\: \triangle GJI[/tex][tex]\angle GHI\cong\angle GJI[/tex] (Each 90° given)[tex]Hypotenuse \:GI \cong\: Hypotenuse GI[/tex] (Common side)[tex] side\: GH\cong\:side GJ[/tex] (Given)[tex]\implies \triangle GHI\cong\triangle GJI[/tex] (By HST postulate)[tex]\implies \angle GIH \cong \angle GIJ[/tex] (corresponding angles of congruent triangles or cact)[tex]\implies m\angle GIH = m\angle GIJ[/tex][tex]\implies 2z = z+25\degree[/tex][tex]\implies 2z-z = 25\degree[/tex][tex]\implies \red{\bold{z = 25\degree}}[/tex][tex]m\angle HIJ =m\angle GIH +m\angle GIJ[/tex] (By angle addition postulate)[tex]\implies m\angle HIJ = (2z) + (z + 25\degree)[/tex][tex]\implies m\angle HIJ = 3z + 25\degree[/tex][tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex][tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex][tex]\implies m\angle HIJ = 75\degree+ 25\degree[/tex][tex]\implies\huge{\purple{\boxed{ m\angle HIJ =100\degree}}}[/tex]D is Midpoint of CE
C = (-5,?) D = (3,10) E = (?,8)
a series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number?
42.5
190.0
465.0
740.0
Answer:
ai = 190.0
Step-by-step explanation:
I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.
Assuming the series is comprised of numbers in an arithmetic progression, you will have... (see attachment for better explanation and step by step.)
cant solve x+4y=0
3x+2y=20
Answer:
The answer to this question is -2.
Step-by-step explanation:
First, multiply one of the equations by something that can cancel out the other variable.
3x+2y=20
3(x+4y=0)
3x+2y=20
3x+12y=0
Now, subtract both equations.
-10y=20
Now, divide both sides by -10.
y=-2
Hope this helps!
Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%. true or false
Answer:
False
Step-by-step explanation
Let's take the example starting number as 100
15% off of 100 gives us 85.
25% off of 85 is 63.45
40% off of 100 would be 60.
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
Answer: the correct answer is.....101 ft sq.
Step-by-step explanation:
Help with this 10th grade circle problem? can someone help me solve this, i have no idea how. my teacher wont get back to me.
Answer:
D) 8
Step-by-step explanation:
Use the Intersecting Chords Theorem to find the value of x:
[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]
Use the table of random numbers to simulate the situation.
On an average, 45% of the students in a college take a computer
course. Estimate the probability that at least 6 of the next 10
students will take a computer course.
48095
24765
05604
46497
11966
93354
86431
34731
56521
69722
26295
79423
42669
70962
17355
29826
53442
68241
88383
26431
73434
53041
29591
58166
23544
61132
12955
22834
41592
64119
53147
33205
82873
70967
70034
47821
11153
02989
37977
93425
O Possible answer: 60%
O Possible answer: 50%
O Possible answer: 55%
O Possible answer. 45%
Answer:
40%Step-by-step explanation:
A set of random numbers can be used for simulating a situation by defining how the numbers will be used to represent the possible outcomes. Trials are repeated using newly-generated random numbers until there are a sufficient number of trials to give a reasonable prediction of the probability of interest.
__
We can simulate the situation as follows:
if a pair of digits is in the range 00-44, then the student will be taking a computer coursea sequence of 10 pairs of digits (4 of the 5-digit numbers) will represent a group of 10 studentsWe are interested in the fraction of groups of 10 that have 6 or more that take a computer course. (Theoretical probability is about 26%.)Here are our trials and results.
48 09 52 47 65 05 60 44 64 97 -- 3 of 10
11 96 69 33 54 86 43 13 47 31 -- 5 of 10
56 52 16 97 22 26 29 57 94 23 -- 5 of 10
42 66 97 09 62 17 35 52 98 26 -- 5 of 10
53 44 26 82 41 88 38 32 64 31 -- 6 of 10
73 43 45 30 41 29 59 15 81 66 -- 5 of 10
23 54 46 11 32 12 95 52 28 34 -- 6 of 10
41 59 26 41 19 53 14 73 32 05 -- 7 of 10
82 87 37 09 67 70 03 44 78 21 -- 5 of 10
11 15 30 29 89 37 97 79 34 25 -- 7 of 10
__
Of these 10 trials, 4 showed the result that at least 6 of the next 10 students will choose a computer course. That is, the probability is estimated to be about 4/10 = 40%.
_____
Additional comment
Here, we can only predict the probability of interest as some multiple of 10%, since we have numbers sufficient for only 10 trials.
We could arrange the random numbers a different way and reuse them, but we choose not to for the purpose of this answer. For that to make sense, we need to have assurance that these numbers are truly random.
The number of repeated values among these 100 pairs of digits suggests that this is a poor set of numbers to be using. 26 and 41 each show up 4 times, for example. The probability of that happening by chance in a truly random set of numbers is about 0.03%. A chance event is considered to be unlikely if its probability is less than 1%.
Answer:50%
Step-by-step explanation:believe me it is 50%. 40% isn’t even a option. 50% is the correct answer.
