Answer:
97
Step-by-step explanation:
388 (number of tickets) / 4 (number of groups (adults, and the 3 times as many kids))
If the number of student tickets sold was three times the number of adult tickets sold, 97 adult tickets were sold.
Let's assume the number of adult tickets sold is 'x.'
According to the information given, the number of student tickets sold was three times the number of adult tickets sold. So, the number of student tickets sold is 3x.
The total number of tickets sold is the sum of the adult and student tickets, which is 388:
x + 3x = 388
Now, combine like terms:
4x = 388
To find the value of 'x,' divide both sides of the equation by 4:
x = 388 / 4
x = 97
To verify the result, let's find the number of student tickets:
Number of student tickets = 3 * 97 = 291
Now, let's add the adult and student tickets:
97 (adult) + 291 (student) = 388
The result checks out, and we have 97 adult tickets and 291 student tickets, which together sum up to the total of 388 tickets sold for the school play.
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Given: angle 1 = angle2,
m angle 1 = x + 14,
m angle 2 = y - 3
Solve for y in terms of x.
The solution of the given angle of the equation is y＝17＋x
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have given angle as:
angle 1 = angle2,
m∠1＝m∠2
m∠ 1 = x + 14,
m∠2 = y - 3
Since m∠1＝m∠2
Substitute the value of m∠1 and m∠2 in the above equation,
⇒ x＋14＝y－3
Rearrange the terms in the above equation and solve for y,
⇒ －y＝- 3－x－14
⇒ －y－17－x
⇒ y＝17＋x
Thus, the solution of the given angle of the equation is y＝17＋x
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What is the horizontal shift for the absolute value function below? Explain how you know using complete sentences.
F(x)=3 | x+6 | +9
Answer:
The horizontal shift is 6 units left (so -6).
Step-by-step explanation:
The horizontal shift is located inside the absolute value bars. While F(x) adds 6 to x, so you may think it's 6 units right, horizontal shifts are backwards as opposed to vertical shifts: we go 6 units left.
How do we say that the cost of rice and the quantity of rice we purchase are in inverse proportion?
Answer:
Step-by-step explanation:
I don't think they are. It sounds like a direct proportion to me. The more rice you buy, the higher the cost.
Cost = k * quantity.
That would be the most general formula.
determine whether the number is rational or irrational and round it to the nearest hundredth. √3
Answer:
If a square root is not a perfect square, then it is considered an rational number. These numbers cannot be written as a fraction because the decimal does not end (non-terminating) and does not repeat a pattern (non-repeating)...!!!
Marcie solved the following inequality, and her work is shown below.
What mistake did Marcie make in solving the inequality? (9th grade Algebra 1)
Answer:
She didn't change the direction of the sign
Step-by-step explanation:
When dividing both sides by a negative number in an inequality, you must change the sign.
What are nudibranch? Only some of the most colorful sea creatures on Earth! These marine mollusks boast a variety of
unique shapes and colors, and they live anywhere in the world's oceans, from the tropics to Antarctica. There are many
different types of nudibranchs, some no longer than an inch, and some as long as two feet! Some use toxic appendages
to defend themselves, while others use camouflage. Some even make their own chemicals to keep predators at bay.
Why do nudibranchs have these defenses? Because they are naked! Nudibranch means "naked gills," so named for
their soft bodies and their exposed gills, which sit atop their backs. While common to the ocean, these unusual creatures
can be spotted on underwater dives.
In 2-3 sentences, summarize the information in the paragraph.
Nudibranchs are a detachment of marine gastropods, close to the snails, but without shell and with a pronounced mantle.
Their secondary cutaneous gills are soft, unprotected outgrowths of integuments of various shapes and are located on the sides or on the dorsal side of the body; some species have no gills at all. They inhabit mainly warm seas and oceans. Some species are poisonous and have a bright color. All nudibranchs are hermaphrodites. They are very picky about their food.
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plz help me its due in 10 min 37 points
Answer:
1. Reason: Given
2. segment PQ is similar to segment PS
3. Reason: Same segment
4. Reason: Side-side-side theorem.
Step-by-step explanation:
Answer:
3 PR=PR
Step-by-step explanation:
show TRI PQR CONGRUENT TRI PSR
QR=SR(GIVEN)
PQ=PS(GIVEN)
PR=PR(COMMON SIDE)
SO BOTH CONGRUENT
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
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karen had 25.30 saved in her piggy bank. she found 3 dimes on her way to school. if she puts them in her piggy bank when she gets home, how much will she have saved?
help help help help help
Answer:
it is b
Step-by-step explanation:
because it has the 2.3
100 100
What is the decimal form of
3,5
100
and ? Determine whether each
6
decimal repeats or terminates.
Help me please need answers know and please no links.
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
1/2-(-1/3)
Does anyone know the answer to this question?
Answer:
5/6
.......................
Answer: 0.83
Step-by-step explanation: 1/2-(-1/3)= 5/6: Decimal form is 0.83
what’s the solution of 4= -2(x-3)
Step-by-step explanation:
Simplifying 4 + -2(x + -3) = 24 Reorder the terms: 4 + -2(-3 + x) = 24 4 + (-3 * -2 + x * -2) = 24 4 + (6 + -2x) = 24 Combine like terms: 4 + 6 = 10 10 + -2x = 24 Solving 10 + -2x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 24 + -10 -2x = 24 + -10 Combine like terms: 24 + -10 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?
Answer:
16
Step-by-step explanation:
5/8= 0.625
10/0.625= 16
Its line segment please
Answer:
A) 29
Step-by-step explanation:
DG = GJ
GJ = DG = 4x + 17
DJ = DG + GJ
11x + 25 = 4x + 17 + 4x + 17
11x + 25 = 4x + 4x + 17 + 17 {Combine like terms}
11x + 25 = 8x + 34
Subtract 25 from both sides
11x = 8x + 34 - 25
11x = 8x + 9
Subtract 8x from both sides
11x - 8x = 9
3x = 9
Divide both sides by 3
x = 9/3
x = 3
DG = 4x + 17
= 4*3 + 17
= 12 + 17
DG = 29
Answe]here g is apoint on dj sdj = dg + gj 11x + 25 = dg + 44x + 14 11x - 44x + 25 - 14 = dg - 33x + 11 = dg
11 x + 25=8x+34
x=3
dg= 4×3+17=29
thank you
Maureen's dad is 32 years older than Maureen. Six years ago, the sum of their ages was 52. How old is Maureen now?
Answer:
26
Step-by-step explanation:
4.7x2 + 9x = 0
We’re using the quadratic formulas and there is no c in the question. Do you do it and just not put the c in the equation? Or is there another way?
Hey there! I'm happy to help!
In this case c is equal to 0. There is always a, b, and c, but they might be invisible (for example if a is 1 or b or c are 0).
Then you can choose whichever method you like to factor these (completing the square, quadratic formula, factoring, etc.)
The zeros should be 0 and a number that is about -1.9.
Have a wonderful day and keep on learning! :D
What is the answer ?
Answer and Step-by-step explanation:
To find out the answer, we need to first find how much money it is to buy 1 kg of almonds.
So, do 34 divided by 4.
[tex]\frac{34}{4} = 8.5[/tex]
Now, multiply 8.5 by 5.
8.5 × 5 = 42.5
The cost for 5 kilograms of almonds is $42.5
#teamtrees #PAW (Water And Plant)
I hope this helps!
where is the hundredths place in
12.083
?
Answer:
12.08
Step-by-step explanation:
Plz Help me!
Question is shown in the image
Answer:
Here,
X=(1,4,7,9)
Y=(2,4,5,9)
Now,
i=(1,2,4,5,7,9)
ii=((4,9)
iii=(1,2,4,5,7,9)
iv=(4,9)
Solve for x 3/4x + 5/4 = 4x
(9the grade Algebra 1 )
Answer:
[tex]x = \frac{5}{13} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]
[tex]3x + 5 = 16x[/tex]
[tex]3x - 16x = - 5[/tex]
[tex] - 13x = - 5[/tex]
[tex]x = \frac{5}{13} [/tex]
Okay so like for integers I use a number line to help me like negative on one side and positive on the other but how do I deal like with these problems? And please explain :)
Answer:
Step-by-step explanation:
remember this:-
if +,- comes: change sign to - (eg. 8+(-4)= 8-4=4)
if -,+ comes: change sign to - (eg. 8-(+4)= 8-4=4)
if -,- comes: change sign to + (eg. 8-(-4)=8+4=12)
if +,+ comes: change sign to + (eg. 8+(+4)=8+4=12)
3.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. linear; y = x – 1
B. quadratic; y = x2 – 1
C. exponential; y = 3x – 1
D. linear; y = –x – 1
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win. The only
possible outcomes of the game are winning and losing.
What is the probability of winning?
Answer:
32.5% Win Rate
Step-by-step explanation:
I got this answer by first:
( 9 ) * x + ( -4 ) * ( 1 - x ) = 0
9x - 4 + 4x = 0
13x = 4
then finally:
13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!
Probability of winning is 0.69.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question
Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.
The only possible outcomes of the game are winning and losing.
The probability of winning = [tex]\frac{9}{4+9}[/tex]
= [tex]\frac{9}{13}[/tex]
= 0.69
Hence, probability of winning is 0.69.
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The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
Answer:
Length=22.5cm, Breadth=11.5cm
Step-by-step explanation:
Let length be l and width be w.
w+22=l
w+w+w+22+w+22=90
4w=90-22-22
=46
w=46 divided by 4
=11.5
l=11.5+11
=22.5
Hence,
Length of rectangle=22.5cm
Breadth of rectangle=11.5cm
CAN SOMEONE PLEASEEEE HELP/EXPLAIN THIS ASAP !!!
Answer:
5th figure is not symmetrical
comment if doubt
What’s the answer to this question please help mee
Answer:
11c³
Step-by-step explanation:
The GCF of 44, 22 and 11 → 11
The GCF of [tex]c^{5}[/tex] , c³ and [tex]c^{4}[/tex] → c³
Then the GCF of the expression is 11c³
-2x - 4 > 8 how much is this
[tex]\\ \sf\longmapsto -2x-4>8[/tex]
[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]
[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]
[tex]\\ \sf\longmapsto x+4>-4[/tex]
[tex]\\ \sf\longmapsto x>-4-4[/tex]
[tex]\\ \sf\longmapsto x>-8[/tex]
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
Add 4 on both sides
-2x > 12
Divide -2 on both sides
x < -6
Hope this helps!
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow