Answers
Step-by-step explanation:
1.
x = number
x/4 = x/3 - 1
x/3 - x/4 = 1
4x/12 - 3x/12 = 1
x/12 = 1
x = 12
2.
the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).
the denominator is the bottom (it says in how many and therefore how small parts we split the whole).
x = numerator
y= denominator
fraction is x/y
y = x + 2
(x+3)/(y+3) = 23
x + 3 = 23(y + 3) = 23y + 69
x = 23y + 66
now we use the first equation (y = x + 2) and substitute it into the last equation :
x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112
x = -112/22 = -56/11
y = -68/22 = -34/11
the original fraction is
x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17
3.
in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.
so, in total in 1 hour we get (1/3 + 1/6) done.
what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?
x(1/3 + 1/6) = 1
x(2/6 + 1/6) = 1
x(3/6) = 1
x × 1/2 = 1
x = 2
it takes both pipes together 2 hours to empty the pool.
4.
very similar to 3.
we are just using days instead of hours.
in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.
so, how many days to get 1/1 (the whole work) done ?
x(1/2 + 1/5) = 1
x(5/10 + 2/10) = 1
x(7/10) = 1
7x = 10
x = 10/7
it takes them together 10/7 days to mow the whole lawn.
Related Questions
Logan and his father each have a sandwich and a drink for lunch at a restaurant. A sandwich costs $5.25 and a drink costs $1.75. Logan's father leaves a 20% tip. What is the amount of the tip?
Answers
Answer:
$1.4
Step-by-step explanation:
$5.25 + $1.75 = $7
20/100 × $7
= 20× 7 /100
= 140/100
= $1.4
I need help with this question. Thank you!
Answers
Answer:
gradient is the same as slope The gradient or slope of line A = 3/1 or 3
The gradient of line B is -4/1 or -4
gradient or slope = rise over run = y/x.
if the line goes up from the left to the right, The slope is positive.
if the line goes down from the left to the right, The slope is negative
What is the first whole number greater than 11?
Answers
Answer:
4
Step-by-step explanation:
The √11 is ≈ 3.3166....
So the first whole number GREATER than 3.3166 is 4
-Chetan K
Answer:
√11 = 3.3166
The first whole number greater than 3.3166 is 4
Hope This Helps!
Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?
Answers
Answer:
17.75
Step-by-step explanation:
You can rewrite the sentence as
$0.17*104.43=
Which is 17.7531
Round it money which is 17.75
Therefore 17.75 is your answer
Hope this helps!
draw a square and its diagonals how many angles are formed by the intersection of the diagonals?
Answers
A square has 2 diagnals. imagine 2 lines connecting every opposite angle of the square. that leaves 2 intersecting lines. Sinse the two lines are intersecting, they form angles. Because there are only 2 lines, there are 4 angles. The answer is 4.
A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
There are two diagonals in every square.
The angle of intersection between both diagonals is 90 degrees.
The number of angles formed by diagonals = 4
Hence "A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4".
For more about a square,
https://brainly.com/question/2189895
#SPJ2
At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?
Answers
Answer:
$83.60
Step-by-step explanation:
to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.
12.54 ÷ 6 = 2.09
then we multiply that by 40
2.09 x 40 = 83.60
The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.
What was the average temperature measured by the 3 thermometers?
Answers
Suppose two trains leave a certain station, at the same time, traveling in opposite directions. One train travels 30 mph faster than the other. In 2.5 hours, the trains are 205 miles apart. Find the speed of each train
Answers
9514 1404 393
Answer:
56 mph, 26 mph
Step-by-step explanation:
The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...
s + (s+30) = 82
2s = 52 . . . . . . . . . . subtract 30
s = 26 . . . . . . . . . divide by 2
s +30 = 56 . . . the speed of the other train
The speeds of the two trains are 56 mph and 26 mph.
hi, can you help me here pls?
...
...
Answers
2. Weight
3. Length
Height
Distance
Weight
Money
You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?
Answers
Answer:
208 ounces in 13 pounds
Step-by-step explanation:
Write the answer to 6 2/5 × 4 in improper fraction form AND mixed number form.
Improper fraction:
-------------------------
Mixed number: -------------------------
(whole number + fraction number
Answers
Answer:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
128/5 is the improper fraction
and the mixed number is 25 3/5
Step-by-step explanation:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answers
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
how to convert 111101 from base 2 to base 10
Answers
Answer:
61
Step-by-step explanation:
So basically you separate the numbers like 1 1 1 1 0 1, and time 2 while having the number of numbers as the exponent decreasing. Like this, 1x2^5+1x2^4+1x2^3+1x2^2+0x2^1+1x2^0. Then figure it out and it would be 32+16+8+4+0+1=61. If don't understand, look at the picture below
I need to learn about percent, proportion, and mixture word problems
Answers
Answer:
Percent:
There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.
X and Y are numbers and P is the percentage:
Find P percent of X
Find what percent of X is Y
Find X if P percent of it is Y
Mixture:
Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.
Proportion:
Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.
Step-by-step explanation:
Hope This Helps!
Order the expressions by choosing >,<, or =
Answers
Answer:
1. <
2. <
3. >
Step-by-step explanation:
Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.
1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2=32[/tex]
[tex]=32[/tex]
[tex]2^2 = 2\times2[/tex]
[tex]2\times2=4[/tex]
[tex]32\times4=128[/tex]
[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]
[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]
128 < 1024
2. [tex]2^2=2\times2=4[/tex]
[tex]5^2=5\times5=25[/tex]
[tex]4\times25=100[/tex]
[tex]=100[/tex]
[tex]2^{10} = 1024[/tex]
100 < 1024
3. [tex]2^5 = 32[/tex]
[tex]5^2=25[/tex]
[tex]32\times25=800[/tex]
[tex]10^2 = 10\times10 = 100[/tex]
800 > 100
Hope this helps.
PLEASE HELP ME SO I CAN GRADUATE!!!!!
What is the y-intercept of the line passing through the point (4,-5) with a
-2
slope of ?
A.
41
9
O
B.
O
O
D.
49
9
Answers
Answer:
A: -41/9
Step-by-step explanation:
Substitute the point (4, -5) and slope -1/9 into the equation y = mx + b.
-5 = -1/9(4) + b
-5 = -4/9 + b
Solve for b:
b = -41/9
Our equation: y = -1/9(x) - 41/9
when we went shopping I had $15 i lent $5 and spen $8 then borrow $12 from down at the end did I have money in my purse or did I owe money how much
Answers
Answer:
Step-by-step explanation:
Can someone please help me with this problem
Answers
Answer:
A is the right one
Step-by-step explanation:
if not I'm sorry I'm here to help
2.Pleas can someone answer!
Answers
Answer: A, A, C
Step-by-step explanation:
Educated Guess because none of them are going to be zero so it's either A or C but the point has a negative y so to plug it all in all of them have to be negative ex. -1 + -1 + -1 =-3
the x is -1 so both have to be negative in order to get -3
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answers
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
WILL GIVE BRAINLIEST!... whats the unit rate of the equation(HAVE TO SHOW HOW YOU GOT ANSWER)
y=-4x
Answers
Answer:
-4
Step-by-step explanation:
The form of a liner equation is y=mx+b. b is 0 in this example. So we are left with y=-4x
-4 is the m, the slope. It is also called the unit rate of change. It tells us how much y changes for each 1x unit.
y x
0 0
-4 1 One unit changes y by -4 : The unit rate of change.
-8 2
Homework help!!!!!!!
Answers
Answer:
r = -9
Step-by-step explanation:
the less the negative number is the more it is .
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
14
х
B
L
D
с
30
O A. 30.1
B. 6.5
C. 14
O D. 16
Answers
Answer:
D. 16
Step-by-step explanation:
can anyone heelp me pls
Answers
Answer:
I think it's b.
Step-by-step explanation:
b. ,. ....
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes up heads half of the trials or more. Give answer to at least three decimal points.
Answers
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x) p = probability of success = 0.4q = 1 - p = 0.6n = number of trials = 100P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
Using a binomial probability calculator :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
Learn more :https://brainly.com/question/12474772
What is the value of 5 in 102,587?
Answers
Answer:
Value of 5 is 500
From right to left ones, tens, hundreds, thousands, ten thousands, hundred thousands
5 is in the hundredth place
HOPE THIS IS WORTH IT :)"The sum of a number and 7 divided by -3, is 2."
Answers
Multiply by -3
(x+7) = -6
Subtract 7
x = -13
The number is -13
Two more than the quotient of a number and 4 equals 7.
Answers
Answer:
20
Step-by-step explanation:
we can set up the equation like this:
n/4 + 2 = 7
subtract 2 from both sides
n/4 = 5
multiply 4 to both sides and you get...
n = 20
Which fractions are equivalent to 1012?
Answers
[tex]50/60[/tex]
That should be your answer
Answer:
Hello, There! I'm here to help!
QuestionWhich fractions are equivalent to 10/12?
AnswerAccording to The Question I'm guessing you mean 10/12
If so The Following Fractions are Equilvalent to 10/12
1. 20/24
2. 30/36
3. 40/48
5. 50/60
Step-by-step explanation:
To get Eqilvalent You Can Multiply Number to the fractions to find out what's Equilvalent
Therefore, I hope this helps you!
I when I'm 10, my brother is half of my age. How old is my brother if I am 44 now
Answers
Answer:
Step-by-step explanation:
A-B = 4–2 = 2 (age difference between A and B). IF A = 44,. B = A - 2 = 44 - 2 = 42 years old.
Answer:
39 years old
It could be;
10 ÷ 1/2 = 5
Age difference= 10 - 5= 5 years
So, 44 - 5 = 39 years old