Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
The students who went camping are divided according to the following fractions:
[tex]\frac{1}{7}[/tex] stayed at Hill Camp.[tex]\frac{1}{3}[/tex] stayed at Forest Camp.[tex]\frac{1}{4}[/tex] stayed at Field Camp.The remaining x stayed at Lake Camp.The sum of all these fractions is 100% = 1, hence:
[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]
[tex]84x + 61 = 84[/tex]
[tex]84x = 23[/tex]
[tex]x = \frac{23}{84}[/tex]
Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.
A similar problem is given at https://brainly.com/question/24372153
What is the next whole number after 267 In base 8
The next number would be 270₈. The given number has an digit expansion of
267₈ = 2•8² + 6•8¹ + 7•8⁰
If x is the next number, then adding 1 to the both sides gives
x = 2•8² + 6•8¹ + 7•8⁰ + 1
x = 2•8² + 6•8¹ + 7•8⁰ + 1•8⁰
x = 2•8² + 6•8¹ + 8•8⁰
x = 2•8² + 6•8¹ + 1•8¹
x = 2•8² + 7•8¹
x = 2•8² + 7•8¹ + 0•8⁰
and so x = 270₈.
A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
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A courtyard has the shape of a rectangle 45 ft and 28 ft wide. How long is a sidewalk from one corner diagonally to the opposite corner?
56 ft
47 ft
50 ft
53 ft
Answer:
53
Step-by-step explanation:
We use the pythagorean theorem, a^2 + b^2 = c^2. We can fill a and b for 45 and 28. 45^2 is 2025, and 28^2 is 784. Adding them up gives us 2809. The square root of 2809 is 53.
Question 10 of 10
To model some data, Pat ran an exponential regression and found the
regression equation to be y = 0.496.1.3%,
The scatterplot and residual plot are shown.
Scatterplot
Residual plot
y
4
2
Select the true statements.
O A. The model is a good fit because the patterns in the plots are both
curves.
B. The points in the scatterplot follow a line, so a linear model would
fit the data better.
O C. The residual plot changes direction, so a quadratic model would
fit the data better.
D. The model is not a good fit because there is a pattern in the
residual plot.
Answer:
B.)The points in the scatterplot follow a line, so a linear model would fit the data better
A.)The model is not a good fit because there is a pattern in the residual plot.
Step-by-step explanation:
The linear model would best fit the scatter plot while the quadratic model would fit the residual plot. The true statements are: B and C.
What is a Linear Model and a Quadratic Model?A linear model is appropriate for data points that lie along a straight line on graph. If the line is not straight but curved and changes direction, a quadratic model is a better model for such data.
Thus, since the data points on the scatter plot are on a straight line, a linear model would fit the data.
For the residual plot that changes direction, a quadratic model would better fit the data.
The true statements are therefore: B and C.
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There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?
Answer:
7
Step-by-step explanation:
since there are 4 dogs for every 6 people,
if we add 3 people, there will be 9 people and 7 dogs.
Please answer: The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of $96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is $1200, how many guests are invited to the party?
In the exercise Maxwell children want to calculate the estimated amount or budget placed on one person coming to the anniversary party for their parents.
The number if guest will be 50 guests
Given data
quoted price = $96 per person
Let the total bill be x
one-fourth of the total bill = 1/4*x
advance payment is $1200 = 1/4x------------1
Let us find the total bill which is x
$1200 = 1/4x
cross multiply
1200*4 = x
x = 4800
if the budget per person is $96
Hence the total expected guest will be = 4800/96
50 guests
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The 11th term of the AP -3, -1/2, 2 . .... is
Given AP is -3 ,-1/2,2,..
First term = -3
Common difference = (-1/2)-(-3)
⇛d = (-1/2)+3
⇛d = (-1+6)/2
⇛ d = 5/2
We know that nth term = an = a+(n-1)d
11th term = (-3)+(11-1)(5/2)
⇛a 11 = -3+(10)(5/2)
⇛a 11 = -3+(5×5)
⇛a 11 = -3+25
⇛ a 11 = 22
11th term of the AP = 22.
also read similar questions: The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference....
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The 4th term of ap is 10 and the 11th term of it exceeds 4th term by 1 find the sum of 20 terms ....
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Answer:
2
Step-by-step explanation:
initial term = -3
common difference = .5
-3 + .5 for 11 times from 3 = positive 2
4/k =8/3 what is k?
Answer:
1.5
Step-by-step explanation:
4 x 2 = 8, so k x 2 = 3
3 / 2 = 1.5
Subtract using a vertical format. (5x3 + 5x + 2) − (−5x2 + 2x + 1)
A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.
Answer:
5/253
Step-by-step explanation:
The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.
Please helpppp quick
Answer:
x<-4
Step-by-step explanation:
The arrow shows an open circle around -4 meaning it's not equal to -4. And we see the arrow going left, meaning x<-4.
Hope this helps :^)
Answer:
x<-4
Step-by-step explanation:
There is an open circle where -4 is, so the maximum would be -5. There would be no minimum, so you can say that x is less than -4.
graph the relation y=2x
Help use photo for questions
A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length
Answer:
Step-by-step explanation:
Average force is (19 + 0)/2 = 9 lb
2 inches = 1/6 ft
W = Fd = 9(1/6) = 1.5 ft•lb
What is 12,925 to the nearest ten thousand
Answer:
To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.
In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.
I get 10,000
Step-by-step explanation:
help wit this please
Answer:
1: Out: 5, 8, 11, 14
2: Out: 2, 7, 10, 11
3: Out: 11 Rule: Add 4
4: Out: 6 Rule: Add 4
how many times as large is the 4 in the tenthousands place as the 4 in the ones place
Decide whether the following statement makes sense or does not make sense. The weights of babies born at Belmont Hospital are normally distributed with a mean of 6.8 pounds and a standard deviation of 7 pounds.
Answer:
yeah that makes sense to me
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
Find the x and y intercepts of y=-x-8
Answer:
anyone wants to have fun with indian girl ?
Okie help please math math math
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
help pls and thank you
Answer:
A. $10
Step-by-step explanation:
They make $10 profit an hour.
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
A rectangle has a length of 25 meters less than 6 times it’s width. If the are of the rectangle is 261 square meters, find the length of the triangle
What do we call these types of fractions?
1/2 and 5/10
Answer:
Proper Fractions.
Step-by-step explanation:
These are Proper Fractions because the numerator (1 and 5) is lower than the denominator (5 and 10).
5. Find the value of x.
17x – 18
7x
if 17x-18=7x
then 17x-7x=18
10x=18
x=1.8
Martha has 2 apples if she buys 2 more how much does she have?
Complete the process of solving the equation.
Fill in the missing term on each line. Simplify any fractions.
9W + 1 = 19
9w =
Subtract 1 from both sides
W =
Divide both sides by 9
Answer:
see explanation
Step-by-step explanation:
9W + 1 = 19 ( subtract 1 from both sides )
9W = 18 ( divide both sides by 9 )
W = 2
Mary had 60$ and spent 3/4 on a coat. plus she brought a skirt with 1/2 she had left . how much do she have left?
