Answer:
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
Step-by-step explanation:
The together rate is the sum of the separate rates.
In this question:
Sam's rate is 1/10 for 25 square feet, so 1/20 for 50 square feet.
Your's rate is 1/5 for 25 square feet, so 1/10 for 50 square feet.
Together rate:
[tex]\frac{1}{x} = \frac{1}{20} + \frac{1}{10}[/tex]
[tex]\frac{1}{x} = \frac{1}{20} + \frac{2}{20}[/tex]
[tex]\frac{1}{x} = \frac{3}{20}[/tex]
[tex]3x = 20[/tex]
[tex]x = \frac{20}{3} = 6.67[/tex]
It takes you together 6.67 minutes to paint 50 square feet, as you have to consider that the together rate is the sum of the separate rates.
You and your friend enter a drawing with 3 different prizes. A total of 11 people entered the drawing, and prizes are awarded randomly.
There are 990 ways to award the prizes.
What is the probability that you win first prize and your friend wins second prize?
A. [tex]\frac{1}{11}[/tex]
B. [tex]\frac{9}{990}[/tex]
C. [tex]\frac{1}{990}[/tex]
D. [tex]\frac{11}{990}[/tex]
The probability that you win first prize and your friend wins second prize is given as follows:
B. 9/990.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes is given as follows:
990.
The number of desired outcomes is of 9, as:
You win the first prize.Your friend wins the second prize.There are 11 - 2 = 9 people that can win the third prize.Hence:
1 x 1 x 9 = 9.
Meaning that the probability is of:
p = 9/990.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Due tomorrow! Please
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
9. The school record for the most points scored in a football season
is 85. Lawrence has 44 points so far this season. How many more
points does he need to break the record?
Answer:
42 More Points
Step-by-step explanation:
Subtract the record with Lawrence's current amount to get 41. BUT, we are not done, we want to BREAK the record, not just reach it so we need to add one to get our answer of 42.
The product of p and 5 write your expression here
The sum of 6 and x divided by 12 write your expression here
8 less than F write your expression here
The quotient of 15 and C added to the product of m and 2 write your expression here
Answer:
first one - 5p
second one - 6 + x/12
third one - f - 8
fourth one - 2m + 15/c
Step-by-step explanation:
Find the area of a trapezoid with bases of 6cm and 8cm and height of 12cm
Answer:
84cm
Step-by-step explanation:
have a good day! :)
Answer:
area = 84 cm
Step-by-step explanation:
[tex]A=\frac{a+b}{2}h[/tex]
1.
Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12
Answer:
$129.44
Step-by-step explanation:
15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =
= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67
= $31.88 + $35.25 + $32.36 + $29.95
= $129.44
Answer: $129.44
Your gas company charges you a standing charge of 9 pence per day and 2 pence per kilowatt-hour (KWh).
In the last quarter (90 days) you used 500 units (m3) of gas. 1 unit is approximately 11.1KWh.
How much is your bill for the last quarter?
Answer:
$8.10 + 55.50 x $2 KW
= 8.10 + 111.00 = $119.10
Step-by-step explanation:
d = days and x = kw/h
9d = 2x = 9(90) = 500m3
1 unit m3 = 11.1 kwh
We rewrite
9(90) = 500 x 11.1
500 x 11.1 = 5550 KW
0.09 x 90 = 5550 KW
8.1 + 5550 x 0.02
= 8.1 + 111 KW
= 119.10
= $119.10
If you apply the changes below to the
quadratic parent function, f(x) = x^2
what is the equation of the new
function?
• Shift 7 units right.
• Shift 3 units up.
Answer: Step-by-step explanation:
f(x) = (x-7)^2+3
Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
Convert 0.6 radians to degree measure.
Round your answer to the nearest hundredth.
Ryan received $7 more than Ben every week.
Both of them saved $50 per week and spent the rest.
When Ryan had spent $56, Ben had only spent $28.
How much money did Ben receive every week?
Find the 2nd term in expansion of (4-2x)⁴ Show steps
[tex]\huge\mathfrak\pink{Answer}[/tex]
(4 - 2x) ²
[tex]\bold{(4-2x)^{4} }[/tex]
[tex]\bold{[(4-2x)^{2}]^{2} }[/tex]
[tex]\bold{(4-2x)^{2}(4-2x)^{2} }[/tex]
an outdoor pavilion has 30 rows with 20 seats in the first row each row thereafter has 6 more seats using a formula find the total of seats at the pavilion
Find the greatest common factor (GCF) of the set of numbers.
21, 30, 44
Step-by-step explanation:
Answer attached :)
Hope it helps :D
A national publication showed the following distribution of favorite class subjects for high school students.
Music
Other
Math
Social Studies
Class Subject
Percentage
English
141
Physical Education
26%
205
7%
5%
28%
Pasquale, a student from a high school of 1.200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning and
asks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.
Submit
Other
Math
English
Physical Education
Social Studies
Class Subject
Observed
Music
6
6
8
6
7
He decides to conduct a chi-square goodness of-fit test to see whether his high school's distribution differs significantly from that of the publication Pasquale's statistics teacher tells him that his
information does not meet the conditions necessary for a goodness
of-fit test. Which condition has not been met?
1. Data are collected using a random sample or randomized experiment
IL n < 0.10N
III. All expected counts are greater than 5
Answer:
I and III
Step-by-step explanation:
THERE IS 2 QUESTIONS PLEASE HELP ME
Answer:
I only know the first on and it's B
In 4/5 hours, Manuel reads 3/4 chapters. What is the unit rate in chapters per hour?
Manuel reads 3/4 chapter in 4/5 hours.
Rate = Chapter / Hours
Rate = (3/4) / ( 4/5)
Rate = 0.75 / 0.80
Rate = 0.9375
So, Manuel reads the chapter with rate 0.9375 chapters/hour.
Answer:
1 1/5, i think sorry if its wrong
Step-by-step explanation:
Minh made a histogram showing the number of pets for each of his friends.
How many more friends have 4 or 5 pets than have 2 or 3 pets?
2 friends
4 friends
5 friends
7 friends
Histogram titled Number of Pets. Histogram with vertical axis labeled Number of friends and horizontal axis labeled Number of pets. Bar labeled 0 or 1 has a height of 2. Bar labeled 2 or 3 has a height of 4. Bar labeled 4 or 5 has a height of 9. Bar labeled 6 or 7 has a height of 6.
Answer: the answer is C
Step-by-step explanation:
just answered it and it was correct :)
Answer:
c
Step-by-step explanation:
ln x-ln(x-5)=ln2
Help in this problem please having problems on my homework
i need help really please
Answer:
B. 2, 3, 4, 5
Step-by-step explanation:
Whatever number you plug in the blank, the number it creates must be in between 0.362 and 0.321, because it's sorted from greatest to least and it is in the middle
The only option that works is B. The other options either don't have all possible numbers or have some that don't fit the boundaries.
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will enclose both pastures. He wants one pasture to be twice the size as the other. What should the dimensions of the larger pasture be if he wants to use the least amount of fencing?
Answer:
Step-by-step explanation:
just a guess, it seems like you are asked about only dimensions of the big one, isnt that just 2/3 of 2700 km2. that is 1800km2 which = 60 km x 20km.
Answer:
All kinds of questions since you don't describe the enclosures.
Do the two fields have the same width?
Are there two disjointed fields with the same width and one length twice the other?
If they are joined by a common width, is that common width included in the total perimeter?
I guess this is d answer=60km×30km
For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.
(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
Answer:
4x + 10
Step-by-step explanation:
Given
Let
[tex]t = time[/tex]
[tex]s = speed[/tex]
So:
[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours
[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours
Required
Distance covered in the first 2 hours
Distance (d) is calculated as:
[tex]Distance = speed * time[/tex]
i.e.
[tex]d = s * t[/tex]
For the first 2 hours, we have:
[tex]t = 2; s = (2x +5)[/tex]
So:
[tex]d = (2x + 5) * 2[/tex]
Open bracket
[tex]d =2x * 2 + 5 * 2[/tex]
[tex]d =4x + 10[/tex]
Hence, the distance covered in 4x + 10
solve the equation 20.5 = x + 4
Answer:
16.5
Step-by-step explanation:
20.5 = x + 4
16.5 = x
x = 16.5
Answer:
x = 16.5
Step-by-step explanation:
20.5 = x + 4
20.5 - 4 = x + 4-4
Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3
To Prove :
a×(b+c) = a×b + a×c
Solution :
Solving L.H.S. we get :
[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Solving R.H.S. we get :
[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Since, L.H.S = R.H.S
Therefore, the given equation is correct.
Question 5
A round spinner is divided into five sections, where the sections do not have the same size. Using the measure of the interior angles, the probability of the spinner landing on any individual space on
a spin is calculated and given in the table.
©
1
3
4
5
Section
Probability
2
0.20
0.40
0.20
0.15
0.05
A statistics student is asked to test the integrity of the spinner using a chi-square goodness-of-fit test. What is the minimum number of times the spinner should be spun to conduct this test?
Answer:
The correct answer is 100
Find the sector are. Round your answer to the nearest tenth.
A. 254.5 m2
B. 93.5 m2
C. 848.2 m2
D. 14.1 m2
im almost sure its a ............
which table shows data with variability?
Answer:
the table should show the data
Find x if the average of 19, 12, 14, 18, and x is 12.
Answer:
-3
Step-by-step explanation:
To do this, let's arrange it into an equation:
(19+12+14+18+x) / 5 = 12
Let's shift the 5 to the other side by multiplying 12 by 5, which is 60. Now the equation looks like this:
19+12+14+18 + x = 60
Now let's add 19, 12, 14 and 18 together, which is 63:
63 + x =60
Let's move the 63 over to the other side by subtracting it from 60, so 60-63 equals -3. Hence, the answer is -3. Hope this helps!
Solve for x
9(x - 2) = 18
Ox=0
OX= 20/9
O x = 16/9
Ox=4
Answer:
x=4
Step-by-step explanation:
Multiply 9 to x and -2
You get 9x-18=18
add 18 to both sides
you get
9x=36
divide 9 from both sides
x=4
=> 9x - 18 = 18
=> 9x = 18 + 18
=> 9x = 36
=> x = 36/9
=> x = 4 (Ans)