Answers
Answer:
276 guests
Step-by-step explanation:
Let the number of guests be n. We are to find the value of n.
Then (1/3)n + (5/12)n + 69 = n, or
(9/12)n + 69 = n or (12/12)n
Solving for n, we get (3/12)n = 69, or (1/12)n = 23, or n = 12(23) = 276
There were 276 guests at the wedding.
Check: Does (1/3)(276) + (5/12)(276) + 69 work out to 276? yes
Related Questions
Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x
Answers
The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
l² = x² + y².In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
(dx/dt) = 19 ft/s(dy/dt) = -15 ft/sTherefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
https://brainly.com/question/12559989
A garden snail moves 1/6 foot in 1/3 hour. How far is the snail moving per hour?
A. 2 feet per hour
B. 1/2 foot per hour
C. 1 foot per 2 hours
D. 1/4 foot per hour
Answers
Answer:
c) 1 foot per 2 hours
Step-by-step explanation:
1/6 of a foot (which is 12 inches) is 2 inches
1/3 of an hour (which is 60 minutes) is 20 minutes
2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)
Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT
Answers
Answer:
the answer would be c brainlest if right :0
Step-by-step explanation:
Hello!
-----------------------------------------------------------------------------------------------------------------
I presume the answer is Option C.
It's much easier to evaluate this expression than the other ones.
Hope it helps!
~SparklingFlower
-----------------------------------------------------------------------------------------------------------------
3 feet + 7 inches = ___ inches
Answers
Answer:
10
because when you plus 3+7 is 10
12 inches x 3 feet = 36 inches
36 + 7 = 41 inches
Answer: 41 inches
Due in an hour help me
Please I have to pass
Answers
Answer:
A is answer
Step-by-step explanation:
Question 1 of 1
1.05 / 10
View Policies
Show Attempt History
Current Attempt in Progress
Mary Smith opened her interior design firm, KM Designs. Transactions made by KM Designs for the month of August are shown below.
1.
The owner invested $8,000 cash in the business.
2
The company purchased $3.200 of office equipment on credit
3.
The company received $2,400 cash in exchange for services performed.
4.
The company paid $320 for utilities in August.
5.
The owner withdrew $800 cash for personal use.
Your answer is partially correct.
Prepare a transaction analysis using T-accounts.
Assets
Answers
Can you help me please?
Answers
Answer:
B
Step-by-step explanation:
The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.
Ali box 3 1\4 yards of blue ribbon for a craft project she bought 2 2\3 yards of green ribbon how much ribbon does she have in total to complete her project?
Answers
Answer:
5 /12
Step-by-step explanation:
What is Part 1 and Part 2? I think I have these correct.
Answers
Step-by-step explanation:
part 1. Alternate Exterior angle
part 2. 110°
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
HELP ANSWER ASAP
ANSWER???
Answers
A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answers
Answer:
ion
Step-by-step explanation:srry
Find the surface area! Please I need it quick
Answers
Step-by-step explanation:
We first find the area of a trapezium and rectangular faceFourmula to find the are of a trapezium is:Area=1/2*(B+b)*h =1/2*3.7*1.9 =3.515m²Since every rectangular face is different we gotta find each of themArea1=4.8*2.1 =10.08 m²Area2=4.8*1.4=6.72m²Area3=4.8*2.3=11.05m²Area4=4.8*1.9=9.12m²Now we find the area of the whole prismArea=3.515*2+10.08+6.72+11.05+9.12Area=44m²Sorry my wireless went down!!!Hope this helps and you already know what I would like to get-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answers
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p
Answers
Answer:
Angle 1 = 110
Angle 2 = 110
Angle 3 = 70
Angle 4 = 70
Step-by-step explanation:
Angles 1 and 2 are corresponding angles, and therefore congruent
Angles 2 and 3 are same-side interior angles, and therefore supplementary
Angles 3 and 4 are alternate interior angles, and therefore congruent.
Answer:
Angle 2: 110
Angle 3: 70
Angle 4: 70
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answers
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!
Answers
Answer:
The nth term = n^2 - 2n - 3.
Step-by-step explanation:
Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c
Example 1
Write down the nth term of this quadratic number sequence.
-3, 8, 23, 42, 65...
Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.
Sequence = -3, 8, 23, 42, 65
1st difference = 11,15,19,23
2nd difference = 4,4,4,4
Step 2: If you divide the second difference by 2, you will get the value of a.
4 ÷ 2 = 2
So the first term of the nth term is 2n²
Step 3: Next, substitute the number 1 to 5 into 2n².
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Differences = -5,0,5,10,15
Now the nth term of these differences (-5,0,5,10,15) is 5n -10.
So b = 5 and c = -10.
Step 5: Write down your final answer in the form an² + bn + c.
2n² + 5n -10
Example 2
Write down the nth term of this quadratic number sequence.
9, 28, 57, 96, 145...
Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.
Sequence = 9, 28, 57, 96, 145...
1st differences = 19,29,39,49
2nd differences = 10,10,10
Step 2: If you divide the second difference by 2, you will get the value of a.
10 ÷ 2 = 5
So the first term of the nth term is 5n²
Step 3: Next, substitute the number 1 to 5 into 5n².
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Differences = 4,8,12,16,20
Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.
Step 5: Write down your final answer in the form an² + bn + c.
5n² + 4n
Here is an inequality -10+x÷4+5>7x-5÷3
Answers
Answer:
here is the answer x>1/2
What is the slope intercept equation from the graph?
Please help me thank u!
Answers
Answer:
y = -3/2x+3
Step-by-step explanation:
Pick two points on the line
(0,3) and (2,0)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 0-3)/(2-0)
= -3/2
The y intercept is 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+3
35 is 25% of what percent
Answers
Answer:
140
Step-by-step explanation:
35 ÷25%
35 ÷ 25/100
140
ok I am a little confused here but I think I may know what your asking.
What is 25% of 35? or you could be asking 35 is 25% of what number?
I'll answer both just in case.
What is 25% of 35?: 35 ÷ 4 = 8.75%
35 is 25% of what number?: 35 x 4 = 140
What is the common difference for this arithmetic sequence 45,40,35,30,25,
Answers
Answer:
-5
Step-by-step explanation:
100 POINTS IF U GET THIS RIGHT!
Answers
[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]
Answer:
Slope: 3/2
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -3x/2 - 3/8
=> Now, let's compare:
=> y = mx + b = y = -3x/2 - 3/8
We can tell that slope = m, which is 3/2.
Hoped this helped.
Can someone please help me with this?
Answers
Hello,
Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.
And then Khamis should have divided -5b by -5b.
Good Luck
Ali is correct
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
Answers
Answer:
Step-by-step explanation:
(a + 2)/(a ^ 2 + a) - 3/(a - 2)
The LCD is (a^2 + a)(a - 2) so we have
[(a + 2) - 3(a^2 + a)] / (a^2 + a)(a - 2)
= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)
= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)
Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.
Answers
No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)
What’s the answer to this plssss??
Answers
Answer:
2c²
Step-by-step explanation:
8c³d² / 4cd²
= 2 * c²
= 2c²
Can anyone help, im stuck
Answers
Answer:
The second one is right
Step-by-step explanation:
anyone help, im stuck
Answer:
The third one
Step-by-step explanation:
Since, 1 can be represented by x we can make an equation
2 can be represented y
and 4 can be represented by x
Since x + y = 180 and x + z = 180
y = z
Or 2 = 4
Brainliest please :)
What is the product?
Enter your answer as a fraction, in simplified form, in the box.
3/8*(-36)
Answers
Answer:
-27/2
Step-by-step explanation:
3/8 × -36
(3×-36)/8
-108/8
-27/2
.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answers
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.
Simplify this expression 3(2h + 5)
Answers
Explaination: cause I’m a genius
Explanation: use the distributive property.
3 x 2h = 6h
3 x 5 = 15
How to find displacement from velocity.
Answers
Answer:
The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.
