The problem involves finding the time and the rung at which Bob and Rob meet. They both meet on the 10th rung after 10 seconds of Bob's descent and Rob's ascend on their ladders, moving at their respective rates.
Explanation:In this problem, we are asked to find the rung at which both Bob and Rob meet. Each ladder has 30 rungs. Bob is descending from 30 rungs, moving down 2 rungs every second. Rob is ascending from 0 rungs, moving up 1 rung every second. To determine where they meet, we need to find the time at which the rungs they're on coincide.
Bob goes down 2 rungs per second, so in 't' seconds Bob will be on the 30 - 2t rung. Similarly, Rob goes up 1 rung per second, so in 't' seconds Rob will be on the t rung. They meet when 30 - 2t equals t. Solving this equation gives us that t equals 10 seconds.
So at 10 seconds, they meet & the rung they're on is t = 10. Hence, Bob and Rob meet on the 10th rung.
Learn more about Simultaneous Motion here:https://brainly.com/question/35894823
#SPJ13
What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?
explain, in complete sentences, three steps one could take to pay off their debts?
Use the quadratic formula to solve the equation. 4x^2+9x-10=0
5(x+2)= -2(x+9) equals?
What is the sale price of $59 with a 10% discount??
A third grade class was given a multiplication quiz. The quiz had 10 problems. Any correctly answered 6 problems, Bobby answered 7 problems correctly, Tom answered 9 problems correctly, and Sue only answered 2 problems correctly.
A. What fraction of the problems did each student get correct on the quiz?
B. ORDER the fraction of problems each student got correct from greatest to least.
A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An observer on the opposite side of the river measures an angle of 9° between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole.
Simultaneous equation:
Solve:
2x-3y=11
5x+2y=18
Hello! Keith's dog weighs 90 pounds. A healthy weight for his dog would be less than 75 pounds. If Keith's dog can lose an average of 1.25 pounds per week on a certain diet, after how long will the dog reach healthy weight?
In this mathematical problem involving weight reduction over time, Keith's dog has to lose 15 pounds to reach a healthy weight. If the dog can lose an average of 1.25 pounds per week, it would take the dog 12 weeks to achieve the desired weight.
Explanation:The subject of the question is Mathematics, specifically a problem concerning weight loss over time, which is a real-world application of arithmetic and rate problems. In the given scenario, Keith's dog weighs 90 pounds, and the desired healthy weight is less than 75 pounds. Therefore, the dog needs to lose a total of 15 pounds. Given the dog can lose an average of 1.25 pounds per week, we can calculate the number of weeks it would take for the dog to reach a healthy weight.
Step 1: Identify the total amount of weight to be lost, which is the difference between the current weight and desired weight. This is calculated as 90 pounds - 75 pounds = 15 pounds.
Step 2: Divide the total weight to be lost by the average weight loss per week. This is calculated as 15 pounds ÷ 1.25 pounds per week = 12 weeks.
Therefore, it would take the dog 12 weeks to reach a healthy weight if he loses an average of 1.25 pounds per week.
Learn more about Weight reduction over time here:https://brainly.com/question/34853562
#SPJ3
Divide 456 by 28 and write the answer
A. As a mixed number
B. As a decimal rounded to teo decimal places
C. Rounded to the nearest whole number
(Please look at answers below and tell me if correct or if wrong how to fix it)
...?
The results of the expression are 8 2/7 ; 16.286 and 16 respectively.
Using the expression given :
456 / 28Now we divide:
A.)
456 / 28 = 16 remainder 8
Now we have :
8 8/28
= 8 2/7
B.)
As a decimal :
456 / 28
= 16.286
C.)
Rounded to the nearest whole number:
456 / 28
= 16.286
≈ 16
Final answer:
To divide 456 by 28: as a mixed number is 16 2/7, as a decimal rounded to two places is 16.29, and to the nearest whole number is 16.
Explanation:
To divide 456 by 28, we start by performing the division to find the quotient and the remainder. Firstly, 456 divided by 28 equals 16 with a remainder of 8.
Answering the three parts:
A. As a mixed number, we have 16 and 8/28. Simplifying the fraction 8/28 to its lowest terms, we get 2/7. Thus, the mixed number is 16 2/7.B. To express the quotient as a decimal rounded to two decimal places, 456 divided by 28 equals approximately 16.29.C. The quotient, rounded to the nearest whole number, is 16.The information provided seems to be examples of rounding and significant figures from various arithmetic operations but does not directly relate to the division of 456 by 28, which is our primary focus. Please note that while rounding to the nearest whole number or to two decimal places, it's important to correctly evaluate the quotient that the specific calculation yields.
Please help. ASAP!!!
The price of a stock is $3.17 per share. what is the greatest number of whole shares mr. smith can buy with $200?
a. 15
b. 63
c. 66
d. 117
Answer:
the answer is b.63
Step-by-step explanation:
Hello, I can help you with this
Step 1
to solve this you must divide the money Mr Smith has by the price of a stock per share, it is
Money Mr smith has = $200
The price of a stock is $3.17
[tex]\frac{200 usd}{3.17\frac{usd}{share} }\\ =63.09\ shares\\\\[/tex]
he cand by whole shares, so he can buy exactly 63 shares
so, the answer is b.63
I really hope it helps, Have a great day.
HELP ME PLEASE?Choose the correct statement about best-fit lines.
a. A best-fit line is close to most of the data points.
b. A best-fit line describes the exact coordinates of each point in the data set.
c. A best-fit line always has a positive slope.
d. A best-fit line must go through at least two of the data points.
What is the volume of a cube with a side of length 11 units?
1.In the metric system, the base unit for mass is the
gram
liter
kilogram
kiloliter
2.Which of the following is the largest distance?
Centimeter
Millimeter
Decimeter
Kilometer
3.Which of the following prefixes represents the smallest number?
Centi
Kilo
Milli
Deci
4.All of the following measure mass except
milligram
kilogram
decigram
centimeter
5.What is a metric base unit?
The standard unit that is used for each type of measurement.
The smallest unit in the metric system.
The largest unit in the metric system.
The best unit for measuring what you want to measure.
If a Canadian dollar is worth $0.82 in American money, how much is an American dollar in Canadian money?
8.) A linear equation has more than one y-intercept. What can you conclude about the graph of the equation??
Help Idk this question!!
Please help me it is one of my math homework questions!!
Answer:
Step-by-step explanation:
A straight line can either have 1 y-intercept or infinitely many y intercepts. The only case in which there are infinitely many y-intercepts is when the line represents the y-axis itself. On y-axis, x is always 0. So the line that represents the y-axis is the line x=0. However, it is not a linear equation. In short, only the line representing y-axis has more than 1 y-intercepts. There cannot be such a linear equation(function).
A linear equation cannot have more than one y-intercept. Having multiple y-intercepts would violate the definition of a function as each input (x-value) should only be associated with one output (y-value). Therefore, a linear equation with multiple y-intercepts suggests an error.
Explanation:In the field of mathematics, specifically in algebra and graphing, a linear equation cannot have more than one y-intercept. The y-intercept of a linear equation is the point at which the line crosses the y-axis on a coordinate plane. Linear equations are represented by the formula y = mx + b, where 'm' is the slope of the line and 'b' is the y-intercept. If an equation were to have more than one y-intercept, it would violate the definition of a function, which states that each input (or x-value) is only associated with one output (or y-value). Hence, if a linear equation was portrayed as having more than one y-intercept, it would imply an error in the equation or in the graph itself.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ6
In a company 60% of the workers are men is 880 women work for the company how many workers are there in all
What is 15.6 over 100 in simplest form?
What's the account balance after 6 years when you invest$1600 with interest rate of 6.5% compounded continuously
Answer:the answer is the one given below, you need to use A=Pe^rt
Step-by-step explanation:
P= amount of money invested
r=interest rate percentage in decimal form
t=time in years
A=total money in account ️
Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?
a. y – 1 = 6x
b. y – 1 = 3x
c. y – 7 = 2x – 6
d. y – 7 = x – 2
The Answer is B.
I took the unit review, as well as did the math myself,
What statement about the equation is true? 3(4x-2)=12x
A. The equation has one solution
B. The equation has no solution
C. The equation has a few solutions
D. The equation has many solutions
The graph of F(x), shown below, has the same shape as the graph of G(x) = x2, but it is shifted to the left 3 units. What is its equation?
Answer:
f(x) = (x - 3)²
Step-by-step explanation:
If the function given below is g(x) = x²
Then we have to find the function f(x) which is same as g(x) but shifted 3 units left.
As we know in the given equation f(x) = (a + x)²+ k, x defines the shift of the function and and k defines the shift of a graph on y-axis upwards or downwards.
Here the graph is shifted left so the value of x will be (-3) which defines the shifting of 3 left on x-axis.
Therefore the new function will be f(x) = (x - 3)²
Answer:
F(x)=(x+3)^2
Step-by-step explanation:
If p^ is equal to 0.86, then q^ is equal to ______.
The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
A. length = 5 cm; width = 5 cm
B. length = 7 cm; width = 6 cm
C. length = 6 cm; width = 7 cm
D. length = 4 cm; width = 9 cm ...?
Write3/4 3/6 1/3 and 2/12 from least to greatest
Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wrap 36 boxes of the same size. One day they work together for t hours to gift wrap 65 boxes. Which equation models this situation?
Answer: They work for 2.5 hours to gift wrap 65 boxes.
Step-by-step explanation:
Since we have given that
Number of boxes Jack can wrap = 28
Time taken by him = 2 hours
Number of boxes Walter can wrap = 36
Time taken by him = 3 hours
Work done by Jack in 1 hour is given by
[tex]\frac{2}{28}\\\\=\frac{1}{14}[/tex]
Work done by Walter in 1 hour is given by
[tex]\frac{3}{36}\\\\=\frac{1}{12}[/tex]
So, Work done by both Jack and Walter in 1 hour is given by
L.C.M. of [tex](\frac{1}{14},\frac{1}{12})[/tex] is [tex]=\frac{l.c.m.\ of \ numerator}{h.c.f\ of\ denominator}=\frac{1}{2}[/tex]
Number of units done by Jack is given by
[tex]\frac{\frac{1}{2}}{\frac{1}{14}}\\\\=\frac{14}{2}\\\\=7\ units[/tex]
Number of units done by Walter is given by
[tex]\frac{\frac{1}{2}}{\frac{1}{12}}\\\\=\frac{12}{2}\\\\=6\ units[/tex]
So, Let the number of hours be 't' .
[tex]7t+6t=\frac{1}{2}\times 65\\\\13t=\frac{1}{2}\times 65\\\\t=\frac{1}{2}\times \frac{65}{13}\\\\t=\frac{5}{2}\\\\t=2.5\ hours[/tex]
So, They work for 2.5 hours to gift wrap 65 boxes.
Find a polynomial of degree n that has the given zeros. (There are many correct answers.)
zeroes: x=-1,5,7
degree: n=3
A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus $0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost?
Answer:
200 texts = same costs
Step-by-step explanation:
Plan A: 20 + (.05 x 200)
20 + 10 =30
Plan B 10 + (.10 x 200)
10 + 20 = 30
Change this radical to an algebraic expression with fractional exponents.
√x^3
Final answer:
To express[tex]\(\sqrt{x^3}\)[/tex] as a fractional exponent, it is rewritten as[tex]\(x^{\frac{3}{2}}\),[/tex] correlating the square root operation to the power of \[tex](\frac{1}{2}\)[/tex]and multiplying by the exponent 3.
Explanation:
To change the radical[tex]\(\sqrt{x^3}\)[/tex]to an algebraic expression with fractional exponents, we can use the property that any root can be expressed as a power with a fractional exponent. The square root of a variable to some power can be represented by raising the variable to the power of half the original exponent.
In this case,[tex]\(\sqrt{x^3}\)[/tex]can be written as [tex]\(x^{\frac{3}{2}}\).[/tex] This is because the square root operation is equivalent to raising to the power of[tex]\(\frac{1}{2}\),[/tex] and when we multiply the exponents [tex]\(3 \times \frac{1}{2}\),[/tex] we get[tex]\(\frac{3}{2}\).[/tex]