The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks
The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of
millions of dollars, of compact discs for years since 1990.
Question:
Rewrite the function to reveal when sales of compact discs and $0.
Answer:
The cost in 2010 is $0
Step-by-step explanation:
Given
[tex]C(x) = -2x^2 + 38x + 40[/tex]
Required
Find x when [tex]C(x) = 0[/tex]
This gives:
[tex]C(x) = -2x^2 + 38x + 40[/tex]
[tex]-2x^2 + 38x + 40=0[/tex]
Expand
[tex]-2x^2 + 40x -2x+ 40=0[/tex]
Factorize:
[tex]-2x(x - 20) -2(x- 20)=0[/tex]
[tex](-2x - 2)(x- 20)=0[/tex]
Solve for x
[tex]-2x-2=0\ or\ x - 20 = 0[/tex]
[tex]x = -1\ or\ x = 20[/tex]
x represents time. So, it cannot be negative.
[tex]x = 20[/tex]
20 years after 1990 is: 2010. Hence, the cost in 2010 is $0
the other one i need help with asap!!
Answer:
(3x-2)(2x-3)
Step-by-step explanation:
Good luck!
4 Luke's math scores for this grading period are listed below. 84, 86, 83, 78, 92, 87, 92, 90, 88, 86 What is the mean of the data set graphed on the dot plot? (10 Points) X X Х ХХ ХХХ xx 日中 85 90 95 70 75 80 F H
Answer:
86.6
Step-by-step explanation:
Add them all up and divide by how many scores
Four minutes is what percent of an hour?
Answer
6 and 2/3 percent of an hour OR 6.666.... hour
I don’t know if you have to round or not but if it does just round
Step-by-step explanation:
Well 4 minutes of an hour is basically 4/60
4/60=1/15
1/15=x/100
solve the proportion by cross multiplying
100=15x
x=6.66666666
That is yoru percent
pls answer this i have no clue
Answer:
90 degrees
Step-by-step explanation:
The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.
First, you need to solve for x:
S(x+10) + R(2x+60) + T(50+x) = 180
Add up all of the like terms:
10 + 60 + 50 = 120
x + 2x + x = 4x
So now you are left with 4x + 120 = 180
And solve for x:
4x/4 + 120/4 = 180/4
x + 30 = 45
x + 30-30 = 45-30
x = 15
Now that we have the value of x, plug it into the measure given for angle R:
(2x+60)
= (2(15)+60)
= (30 + 60)
= 90
So the measure of angle R is 90 degrees.
I hope this helped! :)
Help ASAP ASAP please please help ASAP ASAP please please help please
Answer:
XY = 9
Step-by-step explanation:
Similar polygons have corresponding sides with proportional lengths.
WX/AB = XY/BC
12/8 = XY/6
8XY = 12 * 6
8XY = 72
XY = 9
no link just put the answerrrrr
Answer:
4in
Step-by-step explanation:
If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k
Answer:
8
Step-by-step explanation:
the formula for direct variation =
Y ∝ kX
such that
Y = kX
from the question we have here
Y = Volume = 24
x = height = 3
when we put this in the formula above in bold
24 ∝ 3k
24 = 3k
from here we have to find the value of k. to do this, we divide through by 3
24/3 = 3k/3
8 = k
therefore the value of k is 8
Determine is an outlier is present in the given data set: 43, 69, 78, 88, 54, 73,
54, 59,70
Answer:
43
Step-by-step explanation:
43 is the most the lowest number while the others are around the same range
Hope this helps! Pls mark brainliest!
Please help no links I WILL GIVE YOU A BRAINLIST
Answer:
1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza
Step-by-step explanation:
y=5x
y=-3x+24
Solve by substitution
Answer:
x=12
Step-by-step explanation:
5x = -3x+24
2x = 24
x = 12
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7. Using the empirical rule, what percentage of males in the town have a systolic blood pressure between 98 and 112?
Answer:
Answer:
68%
Step-by-step explanation:
The percentage of males in the town who have systolic blood pressure between 98 and 112 is 68%.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 7.
68 percent of the data is within one standard deviation of the mean, i.e. between μ - σ and μ + σ.
μ - σ = 105 - 7 = 98
μ + σ = 105 + 7 = 112
More about the normal distribution link is given below.
https://brainly.com/question/12421652
m - 12 = 11
A. -23
B. -1
C. 1
D. 23
Answer:
D. 23
Step-by-step explanation:
m-12-(11)=0
m-23 = 0
m = 23
Help help help help help
Answer:
6 ft
Step-by-step explanation:
The triangle CDE is half of the size of triangle ABC, so if you match up the corresponding sides, DE is half of AC. AC is 12 so DE is 6.
hope is helped!
Which is greater? 40 mm or 3 m
and how do I show my work for that?
correct=brainliest
Answer:
The answer is 1 meter
Step-by-step explanation:
One meter is equal to 1000 mm
Renaldo has a piece of wood that is 8 feet long.
How many pieces 1 feet long can he cut from
the wood?
Answer:
8???????
Step-by-step explanation:
What's 9 divided by 4
Answer:
2.25 or 2(1/4)
Step-by-step explanation:
Type into a calc :)
How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?
Answer:
90 toys
Step-by-step explanation:
We should use the same unit for time. Rewrite 20 minutes as 1/3 hour.
The unit rate is then:
3 toys 9 toys
----------------- = -----------
1/3 hour hour
Multiply this unit rate by 10 hours, obtaining 90 toys
What does an insurance actuary do?
Answer:
An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.
Step-by-step explanation:
Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.
Hope this helped!!!
The functiona f(x) and g(x) are shown on the graph.
What is g(x)?
f(x)
10
-5
g(x)
A
-10
A. 9(x) = -x2 - 4
B. g(x) = -x + 4
c. g(x) = (-x)² - 4
D. g(x) = (-x)2 + 4
Answer:
A. g(x) = -[tex]x^{2}[/tex] - 4
Step-by-step explanation:
f(x) is flipped, so [tex]x^{2}[/tex] becomes -[tex]x^{2}[/tex].
After being flipped, the graph is move down 4 units.
Therefore, g(x) = -[tex]x^{2}[/tex] - 4
Based on the graph below, what is the domain and range of the function?
Answer:
The f(x) domain is the set of all values for the function and the function spectrum is the set of all values for which f is defined.
Step-by-step explanation:
Answer:
Domain = all real numbers
Range = y ≥ -4
Step-by-step explanation:
Domain is the x-values, and for parabolas it is almost always all real numbers.
Range is the y-values, and the lowest it gets is -4.
Aim High To The Sky
James McDonald
Aim high to the sky,
In all that you do.
Because you just never know,
What it takes to be you.
Be strong and be brave,
But at the same time be kind.
And always be sure,
That you're using your mind.
Based on the poem the reader can conclude that the speaker -
A. feels effort and thoughtfulness to others are all important
B, thinks trying your best is the only important thing
C.feels that success is the most important thing in life
D. thinks that everyone will succeed if they work hard enough
( PLEASE HELP )
Answer:
A
Step-by-step explanation:
Because That's The Main Idea
Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is
What is the mode of the data set? {32, 29, 35, 25, 32, 22, 30} Enter your answer in the box.
Answer:
beleive its 35
Step-by-step explanation:
Answer:
The mode hear is 32
Step-by-step explanation:
The mode is the number seen the most in a selected group.
Here is a Mnemonic to help remember what the 3 M's are:
'Hey diddle, diddle
the medians in the middle
add and divide for the mean
the mode is the one that you see the most
and the range is the difference between'
Which scenario would most likely show a negative association between the variables? A. the height of a tree and the amount of time it takes to climb to the top of the tree
B. the number of people in the mall and the number of cars in the parking lot
C. miles traveled in a car and the amount of gasoline used
D. time spent reading a book and the number of pages left to read
Answer: i would say B because it makes the most sence
Step-by-step explanation:
Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.
Answer:
the two consecutive negative integers are -2 and -1.
Step-by-step explanation:
Represent these negative integers by m and n.
Then (because the integers are consecutive) n = m + 1, and m^2 = n + 5.
Substituting m + 1 for n in the second equation, we get:
m^2 = m + 1 + 5, or
m^2 - m - 6 = 0
This factors into (m - 3)(m + 2) = 0. The only negative root is -2.
Thus, the two consecutive negative integers are -2 and -1.
Check: Is the square of the first five more than the second?
Is (-2)^2 = -1 + 5? YES
The integers aer -2 and -1.
Find the volume of each figure. Round the answer
5 min
4 mm
18 nm
8 mm
Plzzz help me!!!!!!!!
help asap please i need to get thru this
Answer:
The Scale Factor is 1/4.
Step-by-step explanation:
if you multiply each side (of figure A) by 1/4, the product matches with figure B's corresponding sides. for example, 56 to 14, 28 to 7, and 64 to 16.
the scale factor is just how much a chosen shape is multiplied by to get the next shape.
to get bigger shapes into a smaller shape, multiply the sides by fractions like we did this problem.