The number of children, parents, and Grandparents that were in attendance are:
190 children140 parents70 grandparentsHow to find the number of people ?First, we should come up with equations that relate the number of children, parents, and Grandparents, given the information we know. The equations would have C for children, P for parents, and G for grandparents.
Total number of people:
C + P + G = 400
Parents to grandparents:
P = 2G
Children to parents:
C = P + 50
Substituting gives:
( P + 50 ) + P + ( P / 2 ) = 400
P + 50 + P + P / 2 = 400
(5 / 2) P + 50 = 400
(5 / 2 )P = 350
P = 140 parents
The children would be:
C = P + 50
= 140 + 50
= 190 children
The grandparents:
G = P/2
= 140/2
= 70 grandparents
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Help pls I really need help
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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The radius of Circle A is 4 cm. The radius of Circle B is 4 cm greater than the radius of Circle A. The radius of Circle C is 5 cm greater than the radius of Circle B. The radius of Circle D is 3 cm less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
*There are 4 parts*
Answer:
the area for
a=16pi or 50.26548...
b=64pi or 201.061329...
c= 169pi or 530.929158...
d=100pi or 314.159265
d is 19.7392088... or 6.25pi times greater than a
Step-by-step explanation:
the decimal values are more accurate for the d is greater than circle a
so you start with a=4 in radius then b=a+4, c=b+5, d=c-3
then solve the equation a=4, b=8, c=13, d=10
then you solve for the area using the formula radius squared pi
getting the answers above
as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a
Buy any mistakes in the renaming of the fractions below show the correct remaining 9 / 4 = 9 / 12 2 / 3 + 6 / 12
Step-by-step explanation:
3/4=9/12 CORRECT
2/3=6/12 FALSE
Step-by-step explanation:
What is done to top of the fraction must be done to the bottom as well in order for the renaming to be true.
3*3 = 9
4*3 = 12
Therefore proven to be true
However,
2*3 = 6
but 3*3 = 9
The second fractions is renamed incorrectly and should be either 2/4=6/12 or 2/3=2/9
Hope this helps!
Use the following formula for calculating binomial probabilities to answer the question.
Subscript n Baseline C Subscript k Baseline (p) Superscript k Baseline (1 minus p) Superscript n minus k
What is the probability of getting exactly 5 “heads” in 10 coin flips?
1/32
63/256
1/2
193/256
Answer:
The answer is 63/256
Step-by-step explanation:
edge 2020
The probability of getting exactly 5 “heads” in 10 coin flips is; 63/256
How to find Binomial Probabilities?
The formula for Binomial Probability is;
P(X = r) = nCr * p^(r) * (1 - p)^(n - r)
Probability of getting a head = 0.5
Thus;
P(X = 5) = 10C5 * 0.5⁵ * (1 - 0.5)⁽¹⁰ ⁻ ⁵⁾
P(X = 5) = 0.2461 = 63/256
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if 5.2% of the 200 million adult Americans are unemployed, how many adult Americans are unemployed? Give your answer to one decimal place (tenth) without the units.
Answer: 10,400,000
type in calculator: 200,000,000 * 0.052
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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Mark works at the mall 3 hours on Friday and 5 hours on Saturday. He gets a
weekly allowance of $25 from his parent. If he made $85 this weekend, how
much does he get paid an hour at his job?
Answer:
$7.50
Step-by-step explanation:
3 hours + 5 hours = 8 hours
8 hours = $85 (total) - $25 (allowance)
8 hours = $60 (money earned from work)
1 hour = $60 ÷ 8 (hours he worked)
1 hour = $7.50
(-4) (-2) +2 (6+5) if anyone knows pls tell due dates tomm for homework
Thanks,
Unknownaz05
Answer:
21
Step-by-step explanation:
(-4)(-2)+2(6+5)
(8)+2(11)
10+11
21
Hope this helps! :)
Answer:32
Step-by-step explanation: First, we do parentheses. 6+5 = 11. Next, we have to do multiplication (-4)(-2) is positive 8 because there are two negatives. 8+2 is 10 + 2(11) is 10+22 which is 32
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
2 times 999million 999thousand 999=
Answer: 1999999998
Step-by-step explanation:
Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.
(please also show an step by step process of getting EAF!)
Answer:
x = 27 , ∠ EAF = 27°
Step-by-step explanation:
∠ GAF = 90° , then
∠ GAC + ∠ CAF = ∠ GAF , that is
x + 63 = 90 ( subtract 63 from both sides )
x = 27
∠ DAE = 90°
since CD is a straight angle of 180° , then
∠ CAE = 90° , so
∠ CAF + ∠ EAF = ∠ CAE , that is
63° + ∠ EAF = 90° ( subtract 63° from both sides )
∠ EAF = 27°
88% of the fish in a pet store are freshwater fish. The pet store has 350 fish. How many of their fish are freshwater? You can use a ratio table to help solve.
Question 1 options:
47
262
308
Answer:
308
Step-by-step explanation:
i used my calculator and got 308
A point is plotted on a coordinate grid at (-3, 4). How far is the point from point (0, 0)?
The point at (-3, 4) is at a distance of 5 units from the point (0, 0).
How far is the point from (0, 0)?For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:
distance = √( (x₁ - x₂)² + (y₁ - y₂)²)
In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:
distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5
The distance is 5 units.
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Order these numbers from least to greatest based on there absolute value
|-2.5|,|-2|,|-2.4|,|-3|
Answer:
3, 2.5, 2.4, 2
Step-by-step explanation:
Answer:
|-3|,|-2.5|,|-2.4|,|-2|
Step-by-step explanation:
Treat them as if they were all positive numbers .
The cost in dollars to produce x shovels in a factory is given by the function C(x)=20x+410. The number of shovels that can be produced in h hours is given by the function N(h)=30h.
1. find the rule for C(n(h))
2. Find the cost when h= 12 hours
please help asap!
Cost when h=12 hours will be 7610
C(x)=20x+410
N(h)=30h
C(N(h))= 20 * 30h + 410
C(N(h))= 600h + 410
Cost when h=12,
600*12+410=7610
determine the exact values of x for x^2 - 8x - 5 = 0
The exact values of x for x² - 8x - 5 = 0 are x = 4 + √21 or x = 4 - √21
To solve for x in the equation x² - 8x - 5 = 0, we can use the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
Using this formula, we can identify the values of a, b, and c in the equation x² - 8x - 5 = 0.
Here, a = 1, b = -8, and c = -5.
Substituting these values into the formula, we get:
x = (-(-8) ± √((-8)² - 4(1)(-5))) / 2(1)
Simplifying this expression, we get:
x = (8 ± √(64 + 20)) / 2
x = (8 ± √84) / 2
Now, we can simplify the square root of 84 as 2√21:
x = (8 ± 2√21) / 2
We can further simplify this expression by factoring out 2 from the numerator:
x = 2(4 ± √21) / 2
Canceling out the 2s, we get:
x = 4 ± √21
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Find dy/dx
I have taken a screenshot of my question and attached it below
The solution of the differentiated equation is dy/dx = -6x⁵
How to differentiate the equation?From the question, we have the following equations that can be used in our computation:
x = ⁶√t
y = 8 - t
To start with:
We need to make the variable t the subject of the formula in the equation x = ⁶√t
Make t the subject
So, we have
t = x⁶
Substitute t = x⁶ in the equation y = 8 - t
y = 8 - x⁶
The rule of first principle of differentiation is represented as
If y = axⁿ, then dy/dx = naxⁿ⁻¹
Using the above as a guide, we have
y = 8 - x⁶
dy/dx = 0 * 8x⁰⁻¹ - 6 * x⁶⁻¹
Evaluate the difference
So, we have
dy/dx = 0 * 8x⁻¹ - 6 * x⁵
Evaluate the products
So, we have
dy/dx = 0 - 6x⁵
Evaluate the sum
So, we have
dy/dx = -6x⁵
Hence, the equation result is dy/dx = -6x⁵
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50 POINTS.Tell whether the ordered pairs is a solution of the system of linear inequalities.
4. (8, −2); y −6
8. (1, 3);2x + y −4, 3x − y ≤ 3
Answer:
4, or it could be 8 but mostly 4
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
1 pound is $0.84
Step-by-step explanation:
2000 pounds are in 1 ton so 2 tons is 4000. Take 3,360.00 and divide by 4000. 1 pound is $0.84
THE DIFFERENCE OF 10 AND X
Answer:
10 is a constant number, and X is a variable used to hold a specific value.
Find the measure of 46.
6
620
6.6
{
66 = [?]
2003 - 2021 Stellus Corporation. All Rights Reserved.
?=118°
Answer:
<6+62=180 co interior angle
<6=180-62=118°
What is an
equation of the line that passes through the points (5, 7) and (-5, -1)?
Answer:
y - 7 = 0.8(x - 5) ory = 0.8x + 3Step-by-step explanation:
Given2 points (5, 7) and (- 5, - 1)To findEquation of the line passing through the given pointsSolutionFind the slope of the line using slope equation:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)\(m=\dfrac{-1-7}{-5-5}=\dfrac{-8}{-10}=0.8\)Use one of the points and the point-slope equation:
\(y-y_1=m(x-x_1)\)\(y-7=0.8(x-5)\)This can be converted to slope-intercept form:
\(y = mx + b\)\(y -7=0.8(x-5)\)\(y -7=0.8x-0.8*5\)\(y -7=0.8x-4\)\(y =0.8x-4+7\)\(y=0.8x+3\)A coin marked “0” and “1” is tossed an infinite number of times, the probability of 1 in any toss being equal to p 2 (0, 1). The resulting sequence (outcome) ! is parsed into consecutive blocks of increasing length: 2, 4, 6,..., etc. What is the likelihood that, in infinitely many of these blocks, the first half of the terms are either all 0’s or all 1’s?
It is very less possibilities that the first half of the terms are either all 0's or all 1's.
According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2
And the getting favorable outcomes that is 0 or 1: 1
Therefore, the probability for the given possibility is written as:
P(A) = n(A)/n(S) = 1/2
Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.
What is probability?
Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.
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PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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f(x) = x + 7
A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 1, 1, 3. The second column is labeled f of x with entries 8, StartFraction 22 Over 3 EndFraction, StartFraction 20 Over 3 EndFraction, 6.
Determine the input that would give an output value of .
= x + 7
= x
x =
The input that would give an output value of -1/3 is 19
What is a linear equation?A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the input of the system?The table of values that completes the question is added as an attachment
A system of linear equations is a collection of at least two linear equations.
In this case, the linear equation is given as
y = -1/3x + 7
From the complete question, the output value is given as:
y = 2/3
Substitute y = 2/3 in y = -1/3x + 7
2/3 = -1/3 * x + 7
Subtract 7 from both sides of the equation
-1/3 * x = 2/3 - 7
Take the LCM
-1/3 * x = (2 - 7 * 3)/3
Evaluate the product
-1/3 * x = (2 - 21)/3
Evaluate the difference
-1/3 * x = -19/3
Multiply both sides by -3
x = 19
Hence, the input that would give an output value of -1/3 is 19
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Answer:
answer is 19
Step-by-step explanation:
Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
Simplify (-2x^3)2•y•y^9
Simplify (-2x^3)^2 •y•y^9 Answer 4x^6y^10
Stephen made two cakes of the same size for a party one chocolate and one vanilla at the end of the day 1/5 of the chocolate cake with leftover there is 2/8 of the vanilla cake leftover Steven divided the remaining chocolate cake into four equal slices and the remaining vanilla cake into five equal slices which statement correctly compares the sizes of the remaining slices
Based on the fact that the cakes were originally of the same size, but then some of them were leftover, the size of the leftover slices in relation to the original slices are:
Chocolate cake slice - 1/25Vanilla cake slice - 1/16What are the sizes of cake left?The proportion of the chocolate cake slices is relation to the original size of cake is:
= Leftover percentage / Number of slices
Solving gives:
= 1/5 ÷ 4
= 1/25
The proportion of the vanilla cake slices in relation to the original slice is:
= 2/8 ÷ 5
= 1/16
In conclusion, each chocolate slice is 1/25 of the original cake and each vanilla slice is 1/16.
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At a sleep over, six friends were talking about the number of hours of sleep they usually get each night. Five of them said: 12,9,4,8, & 7 hours. The sixth friend said, “ the average of our sleep hours is 9, so how many hours do I sleep ?
Answer:
So average of a set of values is the sum of given values divided by the number of values
So, in this case the given values are 12, 9 , 4 , 8 ,7 and x (letting the 6th friend's time be x)
so the average will be:
(12 + 9 + 4 + 8 + 7 + x)/6 = 9
40 + x = 54
x = 54 - 40
x = 14 hours