A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an expression to represent the number of tents needed. write algebraic expression
Answer: The expression can be T(X) = X/3 + 1 where X is the number of students, and we always should round up our solution if it is not a whole number.
Step-by-step explanation:
She needs a tent for every 3 campers, and she also needs a tent for herself.
This means that if X is the number of campers, we need to have:
T(X) = X/3 + 1
this means that we divide X into groups of 3, and for each group of 3 we have one tent, plus one that we need for the camp leader.
now, if for example we have 10 campers, we will have:
T(10) = 10/3 + 1 = 3.33 + 1
So we will need to round up the number of tents to 4 + 1
Derek is training for a half-marathon. His training plan sets his goal for this week at 18 miles with three short runs and one longer run. His three short runs total 9.35 miles. How long will his long run need to be to meet his goal? Enter your answer in the box.
Answer:
He will have to run a total of 8.65 miles to reach his goal.
Step-by-step explanation:
We are given the total of how long he ran for his three short runs, and all we have to do is simplysubtract. We know he has to run 18 miles total, so we subtract the three shorter runs from the total. 18-9.35=8.65. He has to run 8.65 miles in one run, he's going to have a long day.
Find the slope of a line parallel to the graph of 1/2y=x+6
Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter
What is the change in elevation from 134 feet below sea level to 29 feet above sea level?
Answer:
Change of elevation = 163.
Step-by-step explanation:
Given : 134 feet below sea level to 29 feet above sea level?
To find : What is the change in elevation.
Solution : We have given
Below sea level = 134 feet .
Above sea level = 29 feet.
Change of elevation = Above level - below level.
We use positive sign for above level : + 29 feet.
We use negative sign for above level : -134 feet.
Change of elevation = 29 - (-134).
Change of elevation = 29 + 134).
Change of elevation = 163.
Therefore, Change of elevation = 163.
ms.green drove 7 miles from her house to franklin. franklin is 6 miles east of clinton. from franklin, she drove 5 miles to burlington. then she drove 18 miles from burlington to milton. how far did ms.green drive in all, from her house to milton? identify the extra or missing information. solve if possible.
Carl puts $1.10 in his penny bank every day in the month of July (31 days). His total savings was $55.00 at the end of June, what's the best estimate for Carl's savings at the end of July?
Answer:
If it was iready it would be $85 dollars!
Step-by-step explanation:
Me Thomas places order for pencils with the school emblem the order includes 15boxes of pencils and each box hold 25 pencils how many pencils does mr Thomas order use partial product to help you find the answer
What graph represents the equation y=1.4x+2
The graph that represents the equation y = 1.4x +2 is attached in the image.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
The graph that represents the equation y = 1.4x +2 can be plotted on a graph paper by choosing some arbitrary values of x.
When x = 0, y =2. x = 5 , y = 9. x = 10 , y = 16.
This can be put together as ordered pairs (x, y) as (0, 2), (5, 9), (10, 16).
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You pay $1.75 for 5 bagels. What is the unit price?
A- $0.09 per bagel
B- $0.45 per bagel
C- $0.35 per bagel
D- $0.44 per bagel
Plz helpppp!!!!!!!!!!!
What is the answer to, "Use exponents to write an expression for 1 billion
Find the interest rate
I=160.67 P= 2000 t= 8 months
Using simple interest, it is found that the rate is of 0.1205 = 12.05%.
The amount of money earned in simple interest after t years is given by:
[tex]I = Pit[/tex]
In which:
P is the principal, which is the initial deposit.r is the interest rate, as a decimal.In this problem, we have that:
The interest earned is [tex]I = 160.67[/tex]The principal is [tex]P = 2000[/tex].The time is of 8 months, it should be in years, hence [tex]t = \frac{8}{12} = \frac{2}{3}[/tex]Then:
[tex]I = Pit[/tex]
[tex]160.67 = 2000\frac{2}{3}i[/tex]
[tex]i = \frac{160.67 \times 3}{4000}[/tex]
[tex]i = 0.1205[/tex]
The rate is of 0.1205 = 12.05%.
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A math book at the victor valley college bookstore originally cost $84 to purchase if they sell it for $126 what is the markup rate
The markup rate of the book is 42 which is 50%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a math book at the victor valley college bookstore originally cost $84 to purchase they sell it for $126.
The markup rate will be calculated as,
Markup price = 126 - 84
Markup price = 42
Markup price percentage = 42 / 84 = 0.5x 100= 50%
Therefore, the markup rate of the book is 42 which is 50%.
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James work in a flower. He will put 36 tulips in vases for a wedding. He must use the same number of tulips in each vase. The number of tulips in each vase must be greater than 1 and less than 10. How many tulips could be in each vase?
what is the solution, -3/4x=9?
I need help!! can you please explain this...
x + y = 12
3x = 2y + 6
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0.06 is 10 times as much as what number
Peter is x years old. His dad is 4 times older than him. How old is his dad?
Jason has 3/4 ton of a stone to spread equally in 3 square yards. How many tons of stone will be spread in each square yard?
To determine how much stone Jason will spread on each square yard, one must divide the total amount of stone, which is 3/4 ton, by the number of square yards, which is 3. The result is 1/4 ton of stone per square yard.
Explanation:Jason has 3/4 ton of stone to spread equally in 3 square yards. To find out how many tons of stone will be spread in each square yard, you divide the total tons by the number of square yards. That gives you:
3/4 ton / 3 square yards = 1/4 ton per square yard.This calculation shows that Jason will spread 1/4 ton of stone on each square yard.
what's the square root of 49 over 144
By definition of squared root of numbers, The square root of fraction of numbers √49 / 144 is,
⇒ √49 / 144 = 7 / 12
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The expression with number is,
⇒ √49/144
Now, we can simplify the number as;
⇒ √49/144
⇒ √7 × 7 / 12 × 12
⇒ √7² / 12²
⇒ 7 / 12
Therefore, We get;
By definition of squared root of numbers, The square root of number √49 / 144 is,
⇒ √49 / 144 = 7 / 12
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As people exited a movie theater, they were informally surveyed about whether they enjoyed the movie or not.
Males
Enjoyed: 47
Did not enjoy: 13
Females
Enjoyed: 53
Did not enjoy: 3
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 40%, b = 4%
a = 41%, b = 3%
a = 47%, b = 3%
a = 41%, b = 19%
Answer:
The answer is B. a = 41%, b = 3%
7.281 round to the nearest hundredth
There are 8 footballs.
Four less than 5 times the number of footballs are baseballs
How many baseballs are there??
what is 12x-4y=-8 written in slope intercept form
0.3820 is the result when 0.3819 is rounded to the nearest ten-thousandth.
8.58 divided by 6 estimate the quotient
If a dish of ice cream holds 1/4 pound, how many dishes can you get from a 4 1/2 pound carton of Dan's ice cream?
You can get 18 dishes from 4 and 1/2 of a carton of Dan's ice cream.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
This can be solved by the ratio and proportion approach.
Now Equate the two situations in terms of number of dishes to mass of ice cream. The solution is as follows:
Let x be the number of dishes.
Therefore,
1 dish/ 1/4 pound = x dishes/ 4+ 1/2 pounds
Solving for x;
x = 18 dishes
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A Climbing Gym charges $10 to climb each day. A pair of Climbing shoes cost $84. It cost $169 to buy 6 days of climbing, one pair of climbing shoes, and one harness. How much does a harness cost?
The cost of the climbing, broken up into daily fees and shoe cost, totals $144. Given the total cost of $169 for climbing, shoes, and the harness, subtracting the calculated $144 from this gives a harness cost of $25.
Explanation:This question is about solving a problem using simple algebra. Given that the climbing gym costs $10 per day for 6 days, that adds up to $60. The climbing shoes are also given as $84. So, we add these two to get the total cost of climbing and shoes which is $144.
The question mentions that with the harness the total is $169. Therefore, if we subtract $144 (climbing and shoes) from $169 (total cost), we would get the cost of the harness. This means subtracting $144 from $169 equals $25. So, the cost of the harness is $25.
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A store has 2 times as hooded sweatshirt as crewneck sweatshirts. The total number of sweatshirts is 36. How many hooded sweatshirts does the store have?