Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
roni 1/30 t 1/30t
allie 1/75 t 1/75t
If Roni and Allie are working together, Roni will mow .71 of the field.
in a chart, Roni's rate would be 1/30 and Annie's rate would be 1/75.
both of thier times would be x
and the part of field mowed would be 1/30x for Roni and 1/75x for Annie.
the answer is .71
hope this helps :)
What's 4+ -1 1/3 as a fraction in simplest form
Use the grid to create a model to solve the percent problem. What is 40% of 30? 2 5 10 12
The answer is 12. Hope this helps
Why is 2 + (−3) equal to −1
HELP
Please help me I need help
plz answer fast. Helena has saved $595 to put toward snowboarding equipment and lift tickets at the hill. Each lift ticket costs $35. If she wants to have more than $420 of her savings left to spend on equipment, which inequality represents the number of lift tickets she can buy?
She can buy 4 tickets
Answer:
Its B, ≤ 4
Step-by-step explanation:
The graph shows the total fare, y, for a taxi ride with respect to the miles traveled, x.
What is the slope and what does it represent?
Question 9 options:
The slope is 3 and it represents the cost per mile traveled.
The slope is 2.50 and it represents the total cost of the cab ride.
The slope is 0.40 and it represents the cost per mile traveled.
The slope is 2.50 and it represents the cost per mile traveled.
The slope of the graph, in this case, is 3 and it indicates the cost per mile traveled in a taxi. The slope is obtained by dividing the change in total fare by the change in miles traveled.
Explanation:The correct answer is 'The slope is 3 and it represents the cost per mile traveled'. In this context, the slope of the graph represents the taxi fare rate per mile traveled, meaning for each mile you travel in the taxi, you are charged this amount. To find the slope (m), you usually use the formula m = change in y / change in x. Here, 'y' refers to the total fare, and 'x' refers to the miles traveled.
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Mr. Hollins determined that he gives away $800 each month. If he gives away 16% of his budget, how much is his overall budget? Please show your work...
Answer:
Find out the how much is his overall budget .
To prove
Let us assume that the overall budget of Mr.Hollins be x.
As given
Mr. Hollins determined that he gives away $800 each month.
If he gives away 16% of his budget.
16% is written in the decimal form.
[tex]= \frac{16}{100}[/tex]
= 0.16
Than the equation becomes
x × 0.16 = 800
[tex]x = \frac{800}{0.16}[/tex]
x = $5000
Therefore the overall budget of Mr.Hollins be $5000 .
Evaluate the expression. Enter your answer in the box. 2³ =
At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color?
Answers:
8 over 32 multiplied by 8 over 31
8 over 32 plus 8 over 31
8 over 32 plus 7 over 31
8 over 32 multiplied by 7 over 31
Identify the inequality that represents the following problem. One less than twice a number is no less than five. What is the solution set?
1 - 2n ≥ 5
2n - 1 ≥ 5
2n - 1 > 5
1 - 2n > 5
Answer:
1 - 2n > 5. The solution set is (-∞, -2)
Step-by-step explanation:
We are dealing here with two problems:
First, to determine which mathematical statement represents "One less than twice a number is no less than five".Second, solve n, that is, the solution set for the numbers that solve the inequality.First Part: Identifying the inequality"One less than twice a number" can be written as [tex]\\1 - 2n[/tex], where n is the unknown number.
If it is not less than five, thus it is greater (no less) than five. Then, the symbol here is " > " (greater).
As a result: "One less than twice a number is no less than five" could be rewritten as "One less than twice a number is greater than five", or:
[tex]\\1 - 2n > 5[/tex].
Second Part: Finding the solution setThe solution set for this inequality is as follows:
[tex]\\ 1-2n > 5[/tex] ⇒
Subtract -1 from each member of the inequality:
[tex]\\ 1-1-2n>5-1 [/tex] ⇒ [tex]\\ -2n>5-1[/tex] ⇒ [tex]\\ -2n>4 [/tex]
Multiply each member of the inequality by [tex]\\-\frac{1}{2}[/tex] (or divide each member by -2). We have to remember here that when we multiply or divide an inequality by a negative number (-n), this inverts the inequality, that is:
[tex]\\ -\frac{1}{2}*(-2)*n< -\frac{1}{2}*4 [/tex]
[tex]\\ 1*n< -\frac{1}{2}*4 [/tex]
[tex]\\ n < -2 [/tex]
The solution set is then [tex]\\ n< -2 [/tex], which is any value less than -2 (not including -2, because is < and not ≤), and we have infinite negative numbers with such a characteristic. We can write it mathematically as an interval notation:
Solution set for [tex]\\1 - 2n > 5[/tex] is [tex]\\ (-\infty, -2)[/tex].
What is the equation of the graphed line?
Three students are arguing over who can run the fastest. Student A says that she can run 2/3 mile in six minutes. Student B says that he can run 1/2 mile in four minutes. Student C says that he can run 4/5 mile in eight minutes. What fraction of a mile can Student C run in one minute?
Will the first digit of the quotient of 2589 divided by 4 be in the hundreds or thousands place? Explain how you can decide without finding the quotient.
Answer:
This can be checked by looking at the number on the biggest place of the dividend, if it is less than the divisor, the answer will have one less digits place.
Step-by-step explanation:
Please don't answer just to say "I don't know"
Thank you
8x+15 = 2x+39
8x =2x+24
6x = 24
x = 24/6 = 4
angle 4 = 2(4) +39 = 8+39 = 47
angle 6 = angle 4
angle 6 = 47 degrees
Express the volume of each cube as a monomial m
It's a cube with 4r^3s help
The volume of a cube with a side length of [tex]4r^3s[/tex] is a monomial expressed as[tex]64r^9s^3[/tex], derived by cubing the side length according to the formula for the volume of a cube.
To express the volume of a cube with the side length[tex]4r^3s[/tex] as a monomial, we use the formula for the volume of a cube, which is [tex]Volume = side^3[/tex]. Therefore, for a cube with side length [tex]4r^3s[/tex], the volume V can be calculated as follows:
[tex]V = (4r^3s)^3 = 4^3 \times (r^3)^3 \times s^3 = 64 \times r^9 \times s^3[/tex]
This simplifies to V = 64r^9s^3, which is the monomial representing the volume of the cube.
Write the decimal 0.25 in words
The decimal 0.25 can be written in words as zero point two five or twenty five-hundredths .
To understand the value of 0.25 in terms of tenths and hundredths, let's break it down:
The digit 2 is in the tenths place, and it represents two tenths ( 2 / 10 ) or 0.2.
The digit 5 is in the hundredths place, and it represents five hundredths ( 5 / 100 ) or 0.05.
So, in terms of tenths and hundredths, 0.25 can be expressed as zero point two five, where the 2 represents two tenths and the 5 represents five hundredths twenty five-hundredths.
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A rectangular room room with a length of 16 feet, a width of 14 feet, and a height of 10 feet. What is the volume of the room
How and why does conduction influence the temperature of air above a warm surface? above a cold surface?
8 divided by two fifths
solve for M
5 + 2m = 3 + m
m = ??
Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation. What is the scale factor of the dilation?
The scale factor is 3.
98 is what percent of 2487
Daryl drew a square with a side length equal to 4 inches. Larry drew a square with a side length equal to 5 inches. What is the difference between the two perimeters?
What is 194610 ÷ 26 plrase show work
Whats an expression that is equivalent to three over four (5z+ 16).
The quotient of 25 and t plus 6 is the same as twice t plus 1. Turn into equation!
Answer: The answer would be 25/t + 6 = 2t + 1
I NEED THIS QUICKLY 3(x+4)-4=2(x+4) +x
How do you write 4500 in scientific notation
A country's population in 1991 was 48 million. In 2002 it was 51 million. estimate the population in 2008 using the exponential growth formula. Round to nearest million.
Answer:
53 Million
Step-by-step explanation:
In 1991: t = 0 and A = 45 million
In 2002: t = 11 and p = 51 Million
You're Solving For k:
P = [tex]Ae^{kt}[/tex] In(1.0625) - In( [tex]e^{k*11}[/tex] )
51 = [tex]48^{k*11}[/tex] 0.0606 = k * 11
1.0625 = [tex]e^{k*11}[/tex] 0.0055 ≈ k
In 2008: t = 17
P = [tex]Ae^{kt}[/tex]
P = [tex]48e^{0.0055*17}[/tex]
P = [tex]48e^{0.094}[/tex]
P = 48*1.0986
P ≈ 52.71466 million as the population
P ≈ 53 Million If Rounded