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
The quotient of a number and four decreased by ten is two .
The solution of the expression is 48.
Here,
The given expression is;
The quotient of a number and four decreased by ten is two .
We have to find the value of given expression.
What is Mathematical expression?
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Now,
The given expression is;
The quotient of a number and four decreased by ten is two .
Let a number is ''x''.
Then, the quotient of x and four is = x/4
So, the given expression is written as,
x/4 - 10 = 2
x/4 = 10 + 2
x/4 = 12
x = 12 * 4
x = 48
Hence, The solution of the expression is 48.
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PLEASE help me with this.
A parking garage has floors above and below ground level. For a scavenger hunt, Gaia's friends are given a list of objects they need to find on the third and fourth level below ground, the first and fourth level above ground, and ground level.
If ground level is 0 and the first level above ground is 1, which integers can you use to represent the other levels where objects are hidden? Explain your reasoning.
The below-level floors will be represented by negative numbers and the above level by positive numbers.
What is an integer?An integer is a number whose values are ranges from 0 to infinite positive and zero to infinite negative. A numeral system is a way to convey numbers in writing; it is a way to describe numbers in mathematics by utilizing a consistent collection of digits or other symbols.
Given that a parking garage has floors above and below ground level. For a scavenger hunt, Gaia's friends are given a list of objects ground level is 0 and the first level above ground is 1.
The floors are -3,-4, and 4 because the negative numbers represent below ground as they are below zero and the positive 4 is higher than 1 so which shows that level 4 is higher than level 1.
Therefore, the below-level floors will be represented by negative numbers and the above level by positive numbers.
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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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Peter is x years old. His dad is 4 times older than him. How old is his dad?
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%
What is the answer to, "Use exponents to write an expression for 1 billion
I need help!! can you please explain this...
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 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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7.281 round to the nearest hundredth
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.
There are 8 footballs.
Four less than 5 times the number of footballs are baseballs
How many baseballs are there??
Find the slope of a line parallel to the graph of 1/2y=x+6
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:
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!!!!!!!!!!!
The distance between R and T on the coordinate grid is ___ units. (Input whole numbers only.)
Answer: the distance between the points R and T is 45 units.
Step-by-step explanation: We are given to find the distance between the points R and T on the co-ordinate grid.
Distance Formula : The distance between the points (a, b) and (c, d) i given by
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
From the co-ordinate grid, we note that the co-ordinates of point R are (-30, 10) and the co-ordinates of point T are (15, 10).
Therefore, the distance between the points R and T is given by
[tex]D=\sqrt{(15-(-30)^2+(10-10)^2)}=\sqrt{45^2+0^2}=\sqrt{45^2}=45.[/tex]
Thus, the distance bewteen the points R and T is 45 units.
0.06 is 10 times as much as what number
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 12x-4y=-8 written in slope intercept form
what is the solution, -3/4x=9?
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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8.58 divided by 6 estimate the quotient
0.3820 is the result when 0.3819 is rounded to the nearest ten-thousandth.
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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x + y = 12
3x = 2y + 6
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Carlos says that 17.43÷100 is the same as 174.3÷0.01 is he correct? Explain.
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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