Answer:
Adults tickets sold = 321
and children tickets sold = 227
Step-by-step explanation:
Let Adults tickets are represented by x
and children tickets are represented by y
If theater sold 548 movie tickets writing it in algebraic expression we get:
Adults ticket cost $6.50 and a child’s ticket cost $3.50. In all, $2881 was taken in. Writing it in algebraic expression we get:
We need to find value of x and y
Solving the system of equations and finding value if x and y.
and
Let:
Multiply eq(1) wit 3.50 and subtract both equations
So, value of x = 321
Now finding value of y by putting value of x in eq(1)
Value of y= 227
So, Adults tickets sold = 321
and children tickets sold = 227
Keywords: Word Problems
Step-by-step explanation:
DUE NOW PLEASE HELP ME
Answer:
R and s are parallel as they are the same size and length
i would think 2 and 5 or 2 and 6
hope this helps! (:
Write an equation in point-slope form of the line that passes through the point (3, – 4) with slope 1.
Answer:i dont no
Step-by-step explanation:
What is the estimated total of 674, 692, 724, and 739?
Answer:
2800 is a good estimate
Step-by-step explanation:
Rounding to the nearest hundred
674 = 700
692 = 700
724 = 700
739 = 700
700+700+700+700 = 2800
Above is the question thanks
A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?
A. The population mean is more than 110.
B. The population mean is less than 150.
C. The population mean is between 140 and 150.
D. The population mean is more than 140.
E. The population mean is less than than 125.
The claim that the population mean is less than 125 (Option E) would
the interval tends to refute.
How to know which claim would the interval tends to refute?The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.
With this in mind, let's consider each claim:
A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.
B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.
C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.
D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.
E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.
Therefore, the answer is (E) The population mean is less than than 125.
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A parking garage charges $2 for the hour and $1 each additional hour. Fran has $9.90 to spend for parking. What is the greatest number of hours Fran can park
Answer:
Frank can park 8.9 hours at the highest
Step-by-step explanation:
Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.
From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.
Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x
By adding this to the initial $2, we have the total $9.90
So, mathematically;
2 + x = 9.90
x = 9.9 -2
x = 7.9 hours
Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours
How do you solve a 3 step word problem?
The steps to solve a word problem are to read, plan and solve the problem.
1. Read: After reading the issue, decide what the question is trying to get to.
Read the issue at least twice.
Highlight or highlight important words, phrases, and numbers. Put an end to unimportant information.
2. Plan: Consider what the narrative is requesting of you. What facts are provided to you, and what do you need to learn?
Make a drawing.
Keywords may be underlined or circled. (Use crayons or highlighters to color-code important numbers and words.)
Put your own words in the question's place.
3. Solve: Which approach—addition, subtraction, multiplication, or division—could you use to uncover the information that is missing?
Create and solve a numerical sentence.
Employ counters.
Produce charts
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Logan earns 3% commission selling real-estate. If he sells a house for $175,000, how much will he earn in commission?
Answer:
5250$
Step-by-step explanation:
sale price * percentage
175000*.03 = 5250
or 175000*3 = 525000
divide by 100 it is 5250
please help. Free the denominator of the fractionfrom irrationality:
\( \frac{2}{5 \sqrt{3} } \)
\( \frac{ \sqrt{5 } + 2 }{ \sqrt{5} - 2} \)
Answer:
see explanation
Step-by-step explanation:
Given
\(\frac{2}{5\sqrt{3} }\)
To rationalise the denominator, multiply the numerator/ denominator by \(\sqrt{3}\)
= \(\frac{2\sqrt{3} }{5\sqrt{3}(\sqrt{3}) }\)
= \(\frac{2\sqrt{3} }{15}\)
-----------------------------------------------------------------------
Given
\(\frac{\sqrt{5}+2 }{\sqrt{5}-2 }\)
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of \(\sqrt{5}\) - 2 is \(\sqrt{5}\) + 2 , then
= \(\frac{(\sqrt{5}+2)(\sqrt{5}+2) }{(\sqrt{5}-2)(\sqrt{5}+2) }\) ← expand numerator/denominator using FOIL
= \(\frac{5+4\sqrt{5}+4 }{5-4}\)
= \(\frac{9+4\sqrt{5} }{1}\)
= 9 + 4\(\sqrt{5}\)
Genesis is trying to pick out an outfit for the first day of school. She can choose from 7 pairs of pants, 2 t-shirts, 3
sweaters or hoodies, and 3 pairs of shoes. How many
different outfits does Genesis have to choose from?
Help please
Answer:
Genesis has 126 different outfits to choose from.
Step-by-step explanation:
To calculate the total number of different outfits Genesis can choose, we need to multiply the number of choices available for each article of clothing. So we have:
7 choices for pants
2 choices for t-shirts
3 choices for sweaters or hoodies
3 choices for shoes
To find the total number of outfits, we multiply the number of choices for each category:
7 x 2 x 3 x 3 = 126
Therefore, Genesis has 126 different outfits to choose from.
126 different combination does Genesis have to choose.
We have,
Pants = 7
T shirts = 2
Sweaters or Hoodies = 3
Shoes = 3
So, the number of different combination is
= C(7, 1) x C( 2, 1) x C(3, 1) x C(3, 1)
= 7 x 2 x 3 x 3
= 126 ways
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25 points! PLEASE HELP WITH THIS! Show how you got the answers!!! WIll mark as brainliest!!! DONT ANSWER IF YOU DONT KNOW IT!!
Answer:
x=8
Step-by-step explanation:
The sum of interior angles of a triangle is 180°
9x+3+5x-2+11x-21=180°
25x-20=180
25x=180+20
25x=200°
x=200°/25
x=8
Answer:
8.
Step-by-step explanation:
Sum of the interior angles of a triangle is 180°;
hence;
(9x + 3)° + (5x - 2)° + (11x - 21)° = 180°
grouping like terms:
9x + 5x + 11x + 3 - 2 - 21 = 180
25x - 20 = 180
25x = 180 + 20
25x = 200 dividing both sides by 25;
x = 8
Find the general solution of the following PDE: \[ u_{x x}-2 u_{x y}-3 u_{y y}=0 \]
We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.
The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.
Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.
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Jonah runs mile on Sunday and mile on Monday. He uses the model to find
that he ran a total of 1 mile. What mistake does Jonah make?
Answer:
He only added Sundays run
Step-by-step explanation:
Will Give Brainliest, Answer ASAP m∠O =
m∠N =
Answer:
∠ O = 61°, ∠ N = 119°
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
x + 2x - 3 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61°
Thus
∠ O = ∠ M = x = 61°
∠ N = ∠ P = 2x - 3 = 2(61) - 3 = 122 - 3 = 119°
evaluate the expression 6x + 4 9/10 when x = 2/3.
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
A website on animal tricks had 143,699 hits on Monday. What is this number rounded to the nearest ten thousand?
Answer:
140,000
Step-by-step explanation:
We know that the number is 143,699.
We are asked to round to the nearest ten thousand, which is the number bolded:
143,699
This means we have to look at the number to the right of the 4, which is 3. If this number is below "5", then we round down to get 140,000.
If this number was (and it's NOT) above "5" or "5" itself, we would round up to 150,000.
Since "3" is below "5", we would round down to 140,000.
Hope this helps! :)
Please answer correctly !!!! Will mark brianliest !!!!!!
Answer:
-3x-5 x-4 I this work good luck
Answer:
-(3x-5) (x-4)
Step-by-step explanation:
-3x^2+17x-20
Factor -1 out of -3x^2
-(3x^2)+17x-20
Factor -1 out of 17x
-(3x^2)-(-17x)-20
Rewrite -20 as -1(20)
-(3x^2)-(-17x)-1(20)
Factor -1 out of -(3x^2)-(-17x)
-(3x^2-17x)-1(20)
Factor -1 out of -(3x^2-17x)-1(20)
-(3x^2-17x+20)
Factor.
-((3x-5)(x-4))
Final Anwser:
-(3x-5) (x-4)
Add 84.0393 and 231.6581 and round the sum to the nearest hundredths and thousandths
Match each polynomial with its listed factors in the table.
x48x² + 16
X4-16
х6 - 8
x4 + 2x²-8
x-2x²-2 x² +4
Answer:
Here are the polynomials with their corresponding factors:
x^4 + 16 = (x^2 + 4)(x^2 - 4) = (x^2 + 4)(x + 2)(x - 2)
8x^6 - 64 = 8(x^6 - 8) = 8(x^3 - 2)(x^3 + 2)
x^4 + 2x^2 - 8 = (x^2 - 2)(x^2 + 4) = (x + sqrt(2))(x - sqrt(2))(x^2 + 4)
x^2 - 2x^2 - 2x + 4 = (x - 2)(x^2 + 4)
Note: I used "sqrt(2)" to represent the square root of 2.
Factor the Expression= -3x + 12
Answer:
-3(x-4)
Step-by-step explanation:
to factor, you have to find the gcf of both numbers. the gcf is -3
Answer:
-3 (x-4)
Step-by-step explanation:
Take a negative three out of each part of the problem.
there are 204 students at lliswerry high
the teacher put 15 chairs on each roll in the school
how many complete rows of chairs must a teacher put so that all the student can sit and how many empty chairs will remain
Pls help with this it’s 3:44 AM for me, I’m in my study room trying to figure out how to solve this with the lights on secretly hehe, and I still didn’t finish My math work cuz I didn’t know howw ( due tomorrow ) and it’s getting rlly late so can u guys help me?? ty <33! please try your best! /spamming!/
Answer:
The first can that is 4/10 full.
Step-by-step explanation:
Well half of 8 is 4 and 4/8 is equal to 1/2. So 5/8 in this case is over 1/2. The can that is 4/10 full is less than 1/2 because half of 10 is 5 (5/10), so it is beneath that 1/2 mark.
I hope my explanation was easy to understand because I tried to make it simple.
:) :) :)
a couple decided to have 4 children. (a) what is the probability that they will have at least one girl? (b) what is the probability that all the children will be of the same gender?
(a) The probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.
(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.
The probability of having at least one girl can be calculated by finding the probability of having no girls and subtracting it from 1.
Assuming that the probability of having a boy or a girl is equal (0.5), the probability of having no girls is (0.5)^4 = 0.0625.
Therefore, the probability of having at least one girl is 1 - 0.0625 = 0.9375 or 93.75%.
(b) The probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.
The probability that all the children will be of the same gender can be calculated by finding the probability of having all boys and adding it to the probability of having all girls.
The probability of having all boys is (0.5)^4 = 0.0625, and the probability of having all girls is also 0.0625.
Therefore, the probability that all the children will be of the same gender is 0.0625 + 0.0625 = 0.125 or 12.5%.
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Write a polynomial function in standard form with zeros at -10 -4 and 1?
Answer:
Step-by-step explanation:
Jjjjjjjjjj
What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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QS bisects ∠PQR such that m∠PQS = 2x + 1 and m∠RQS = 4x - 15. What is m∠PQR?
Answer:
literally don't understand a word
The fraction of the global human population living in developed nations is currently 17%. If each person in the developed world consumes on average 100kg of meat per year, how much meat will be consumed in the developed world in 1 year?
• A. 500 billion kg
• b. 102 billion kg
• c. 630 billion kg
• d. 130 billion kg
i need the explanation of how to get to the answer please
Current world population is 7.64 billion.
Number of people in developed nations :
\(n = \dfrac{7.64\times 17}{100}\\\\n=1.3\ billion\)
Now, per person in developed country eats 100 kg of meat .
So, 1.3 Billion people will eat :
\(M =1.3\times 100\ billion\ kg\\\\M=130\ billion\ kg\)
Therefore, meat consumed in the developed world in 1 year is 130 billion kg.
Hence, this is the required solution.
A group of students was asked, "How many hours did you watch television last week?" Here are their responses. 5,10,12,10,12,6
Based on the number of hours that the group of students gave as their responses, the median 10 hours can be found to be and the mean is 9.1 hours.
How to find the median?To find the median, you have to first order the responses from lowest to greatest and then pick the middle number.
The responses given were:
5, 10, 12, 10, 12, 6
When ordered we get:
5, 6, 10, 10, 12, 12
The middle number is found by the formula:
= (Middle number₁ + Middle number₂) / 2
= (10 + 10) / 2
= 10 hours
How to find the mean?To find the mean, simple add up all the responses and then divide by the number of students:
= (5 + 6 + 10 + 10 + 12 + 12) / 6 student
= 55 / 6
= 9. 2 hours
The question is:
find median and the mean number of hours for these students
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(I NEED IT NOWWWWW HURRYYYY)You have half of your pens in your backpack. You give half of these to your friend, Alex. What fraction of your total pens did you give Alex?
Answer:
1/4 of ur pens
Step-by-step explanation:
Two number's differs by 1. The Sum of the bigger number and twice the smaller number is 13. find the number
Answer:
the bigger number is 5 while the smaller number is 4
Step-by-step explanation:
x-y=1 eqn 1
x+2y=13 eqn 2
from equation 1
x=1+y
substitute in eqn 2
1-y+2y=13
1+3y=13
y=4
x=1+y
x=1+4
x=5