The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
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please help! need asap
Answer:
Given as at the end of the proof flowchart we are only left with one unknown m∠3, the logical conclusion is that we're proving that m∠3 = 180° - 54° = 126°
Help, please
Simplify:
Answer:
will be 1
Step-by-step explanation:
..............
Answer:1
Step-by-step explanation:
help please it's urgent
Answer:
15. x<-2 or x>1
16. -5<=x<=-1
17. -0.5<=x<0.25
18. x<=-1.2 or x>=-0.4
Step-by-step explanation:
i need help with 23-26 help please
2.5, 0.92, 0.75, 0.925
What is the quotient of 5/6 + 2/7?
Answer:
Step-by-step explanation:
this app is helpful
Solve for x:
-12 = 1/2(6x - 12)
Answer:
x = -2
Step-by-step explanation:
-12 = 1/2(6x - 12) Multiply everything inside the parentheses by 1/2
-12 =1/2(6x) - (1/2)(12)
-12 = 3x - 6 Add 6 to both sides of the equation
-6 = 3x Divide both sides by 3
-2 = x
Check:
Plug -2 in for x and see if statement is true
-12 = 1/2(6x - 12)
-12 = 1/2[(6)(-2) - 12] Simplify inside the brackets
-12 = 1/2(-12 -12)
-12 = 1/2 (-24)
-12 = -12
What are the coordinates of the point on the directed line segment from (−5,8)(−5,8) to (−1,−8) (−1,−8) that partitions the segment into a ratio of 3 to 1?
The coordinates of the point on the directed line segment is (-2, 4)
How to determine the coordinates of the point on the directed line segment?The points are given as
(-5, 8) and (-1, -8)
The ratio is given as
m : n = 3 : 1
The coordinates of the point are calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have
Point = 1/(3+ 1) * (3 * -1 + 1 * -5, 3 * -8 + 1 * 8)
Evaluate
Point = 1/4 * (-8, 16)
So, we have
Point = (-2, 4)
Hence, the coordinates of the point on the directed line segment is (-2, 4)
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One person earns $58,000 per year. Another person earns $3450 per month.
How much more does the first person earn in a year than the second?
The first person earns $ more than the second person in one year.
Answer:
There are 12 months per year so:
58000 - 12(3450) = $________ more
Just plug into calculator or otherwise
work the arithmetic.
Hope this helps.
5. Tad needs to measure where the free-
throw line should be in front of his
basketball goal. He knows his feet are
1 1/8 feet long and the free-throw line
should be 15 feet from the backboard.
How many toe-to-toe steps does Tad
need to take to mark off 15 feet?
10.i
A basketball court has symmetry; one half of the court is a mirror image of the other. The entire basketball court ( is 94 feet by 50 feet. On each half-court, painted lines show the free throw lane and circle, as well as the three-point arc, whose distance from the basket varies based on the level of hoops being played.
The borders of the court have their own commonsense names:
Along the length of the court, the borders are the sidelines.
Along the ends, the borders are the endlines, or baselines.
Separating both halves of the court is a midcourt line.
In the very center of the midcourt line is the center circle (12 feet in diameter), where the center toss takes place to begin the game.
The free throw lane is the hub of the action in each half-court. This rectangle is 12 feet wide — 16 feet at the men's pro level. Its length, as measured from the basket to the free throw line, is 15 feet at all levels. An offensive player may not stand inside the lane for more than three seconds unless he or one of his teammates is shooting the ball. After a shot is taken, the count starts over again. A defensive player may remain inside the lane for as long as he desires.
A player fouled by another player sometimes receives free throws, also known as foul shots. She takes these shots (they aren't really "throws") from the free throw line at the end of the lane — 15 feet from the basket. The shots are "free" because a defender does not guard the shooter .The remaining players line up alongside the free throw lane (or behind the shooter) and cannot interfere with the shot. They line up in order, on either side of the lane, of defense-offense-defense-offense. (Up to four players may stand on one side of the lane.) If a player opts not to take a spot (say, for example, the second defensive spot), then a player from the opposing team is permitted to step into that spot. The fans behind the basket usually scream, jump up and down, and wave their hands to try to distract an opposing team's shooter during free throws.
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How many degrees is the angle marked X?
Answer:
the angle marked X is 60 degree
What is the measurement of the angle shown below?
Answer:
the answer is 150°
Step-by-step explanation:
because the angle is obtuse angle so obtuse angle measures between 90° and 180° so the rest choices are not correct.
Q1: What is the inverse of the statement?
If you have read many books, then you have learned many words.
A) If you have learned many words, then you have read many books.
B) If you have read many books, then you have learned many words.
C) If you haven't learned many words, then you haven't read many books.
D) If you haven't read many books, then you haven't learned many words.
Q2: The given figure is a rectangular prism.
Which edges are parallel to QP¯¯¯¯¯ ?
Select all answers that are correct.
A) TR¯¯¯¯¯ (Maybe this?)
segment T R
B) PH¯¯¯¯¯¯
segment P H
C) QT¯¯¯¯¯
segment Q T
D) JA¯¯¯¯¯ (And this?)
segment J A
Answer: The answer for #2 is JA and TR I took the test:)
Step-by-step explanation:
Q1 option D is the correct answer: The inverse of the statement, If you have read many books, then you have learned many words, is If you haven't read many books, then you haven't learned many words.
Q2 Edges parallel to QP are
option Aoption DWhat is inverse of a statement?The inverse of a statement refers to a statement that has opposite to the original statement to which the inverse is required. For example:
the statement: John is coming
inverse of the statement: John is not coming
How to get parallel edgesThe edge refers to a side of the prism while parallel refers to a property of line that implies that the edges are equally spaced apart and will never intersect.
The diagram for Q2 is attached
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17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8
Answer: 26
Step-by-step explanation:
17 + 2 × 9 ÷ 3 + 4 × 6 ÷ 8=
17 + (2 × 9 ÷ 3) + (4 × 6 ÷ 8)= ==> multiplication and division come before addition
17 + (18 ÷ 3) + (24 ÷ 8)=
17 + 6 + 3=
23+3=26
if a horizontal straight line is on a graph is it proportional or no proportional
pls ASAP
Given that set A has 73 elements and set B has 29 elements, determine the maximum possible number of elements in A ∩ B
PLS HELP ASAP
(50 POINTS)
What is the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}?
A) {2,4}
B) {1, 2, 3, 4)
C) {2, 4, 6}
D) {1, 2, 3, 4, 6}
Answer:
a
Step-by-step explanation:
the answer is a
Answer:
C
Step-by-step explanation:
One cubic foot holds7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much dose 6 cubic feet of water weigh in Tons
We can use the concept of unitary method to solve the question.The weight of 6 cubic feet of water is 0.19 Ton.
Unitary method helps us in finding the solution to seemingly complicated problems, here we have been given the amount of water that one cubic foot can hold, first we need to find out how much water 6 cubic feet can hold.
1 cubic foot hols 7.48 gallons of water
6 cubic feet holds 7.48x6 gallons of water=44.88 gallons
Next we know how much 1 gallon of water weighs in pounds,we need to find out how much 44.88 gallons of water weigh in pounds first and then convert it to tons.
1 gallon weighs 8.33 pounds
44.88 gallons weighs 8.33x44.88=373.8504 pounds
1 Ton=2000 pounds
373.8504 pounds=[tex]\frac{373.8504}{2000}[/tex]=0.1869 Ton≈0.19 Ton
Thus we can see that 6 cubic feet of water weighs 0.19 Ton, we used unitary method step by step to reach this result.
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When doing blood testing for a viral infection, the procedure can be made more efficient and less expensive
by combining partial samples of different blood specimens. If samples from four people are combined and the
mixture tests negative, we know that all four individual samples are negative. Find the probability of a
positive result for four samples combined into one mixture, assuming the probability of an individual blood
sample testing positive for the virus is 0.09
Answer:
0.246
Step-by-step explanation:
p(virus) = 0.09
= 1-p(none test positive)
=1-(1-0.09)^3
=1-0.91^3
=0.246
Are these a function or not? Then state the domain and range.
Answer:
B. Not a function; does not pass the vertical line test
C. Is a function; does pass vertical line test
Domain of B: -3 to 1
Range of B: -1 to 4.5
Domain of C: -3 to 6
Range of C: -4 to 2
Step-by-step explanation:
What is vertical line test?
Vertical line test is when you draw vertical lines (up and down) on the line. If two points are on one line, that means it is not a function. B has a lot of lines that have the same X so that is why it is not a function.
What is domain and range? Domain is the x values and Range is the Y values. So you will want to put the numbers between where the y starts and stop.
please answer 8,9,10 show work
Answer:
8. HI = 25 cm
9. HJ = 27.5 cm
10. IK = 5.5 cm
Step-by-step explanation:
Given segments JK=3 cm and IJ=2.5 cm of 30.5 cm length HK having points H, I, J, K in sequence, you want to find missing segment lengths.
Segment sum theoremThe segment sum theorem tells you the length of a line segment is the sum of the lengths that make it up. That means ...
HI +IJ +JK = HK
This lets you find the lengths of the various segments without concerning yourself with the value of x.
8. HIUsing the given lengths in the above sum, we have ...
HI +2.5 +3 = 30.5
HI = 30.5 -5.5 = 25
The length of HI is 25 cm.
9. HJThe overall length is the sum of its parts:
HI +IJ = HJ
25 +2.5 = 27.5 = HJ
The length of HJ is 27.5 cm.
10. IKThe overall length is the sum of its parts:
IJ +JK = IK
2.5 +3 = 5.5 = IK
The length of IK is 5.5 cm.
__
Additional comment
In case you actually want to find x, you can find it from ...
HI = 3x +4
25 = 3x +4
21 = 3x . . . . . . subtract 4
7 = x . . . . . . . divide by 3.
In this set of problems, the only use of x is to find the value of 3x+4, which you have already seen is 25.
what is the answer ???
Can I get helped with the following attachment
Maybe someone can give you answer if you also include the data table for them to calculate
Determine the intercepts of the line. Do not round your answers. y − 6 = 4 ( x + 5 )
Answer:
x = (- [tex]\frac{13}{2}[/tex], 0)
y = (0,26)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Solve for x can you help set up the problem for me to solve for x I have tried everything
As per the alternate angle property, alternate angles are equal hence, is x = 7.
What is the alternate angle property?
The alternate angle theorem states that when two resemblant lines are cut by a transversal, also the performing alternate interior angles or alternate surface angles are harmonious. To prove If two resemblant lines are cut by a transversal, also the alternate innards angles are equal. The Alternate Exterior Angles Theorem states that, when two resemblant lines are cut by a transversal, the performing alternate surface angles are harmonious. Then, the two angles of c and d are outside of the resemblant lines and so these are two exemplifications of alternate surface angles.Equating the alternate angles,
11x-2=10x+5,
11x - 10x = 5 + 2
x = 7
Since, as per the alternate angle property, alternate angles are equal.
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solve the quadratic formula simpliest set for y^2-7y-9=0
PLEASE LIST THEM I NEED HELP!
Answer:
{(1,0),(3,0),(0,-3),(-3,0),(-4,-4)}
Step-by-step explanation:
This is all I could get from the cropped out picture.
jack graphs how far he plans ton bike over a 3-day charity ride find the slope of the line
The slope of the line for 3-day charity ride is 30.
What is referred as the slope of the straight line?The slope of a straight line indicates the steepness of its inclination. It is also known as the gradient.
The greater the slope of a line, the steeper it is.The slope of a line remains constant throughout its length, ensuring that the line is straight.A line can be thought of as the hypotenuse of such a right-angled triangle.A slope measurement is calculated by comparing its vertical and horizontal components.The formula for the slope is;
slope = m = Δy/Δx
m = (y₂ - y₁)/(x₂ - x₁)
The given coordinators of the points (taken from Jack's graph are);
(x₁, y₁) = (2, 60)
(x₂, y₂) = (3, 90)
Put the values in the formula;
m = (90 - 60)/(3 - 2)
m = 30
Therefore, the slope of the straight line for the 3-day charity ride is 30.
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Which expression has the same value as -73 +3/?
The expression come -70
given;
In mathematics, multiplication can be represented by using the symbol × or the symbol ·. Moreover, multiplication can be also represented just by leaving the numbers or values side by side without any symbol. For example, the expression 5x + y implies 5 should be multiplied by x. In this context, the expression indicates -73 + 3
it means ; the number 73 substract from 3 and we get - 70.
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When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
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Evaluate and leave your answer in simplest form
(-4/3) (5/12) (9/10) step-by-step
Suppose you transform a square corn field by increasing one side by 2 units and decreasing the other side by 3 units. If the area of the resulting corn field equals 24, what was the length of the original corn field?
Answer:
8 and 3 are the length and the width
Step-by-step explanation:
3
