Answers
x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.
x = the number of adult tickets
y = the number of children's tickets
Then write the inequality:
8x + 6y <= 172
Answer:
8x + 6y <= 172 so the solutions of this equation are those who are in the shaded part of the graph.
Related Questions
I have two bags. bag 1 contains 1010 blue marbles, while bag 2 contains 1515 blue marbles. i pick one of the bags at random, and throw 66 red marbles in it. then i shake the bag and choose 55 marbles (without replacement) at random from the bag. if there are exactly 22 red marbles among the 55 chosen marbles, what is the probability that i have chosen bag 1
Answers
55-22 = 33 blue marbles
bag1+bag2= 2525
bag1=.4
33/55=.6 blue marbles
bag 2=.6
so it is 40% that U choose bag 1
what is the area of a square with a radius of 9 cm
Answers
If you mean the area of a circle with a 9cm radius, then it would be 254.34 cm squared.
Factor completely 56a2b3 − 35ab.
7ab(8ab2 − 5)
7a(8b2 − 5ab)
Prime
7a(8ab3 − 5b)
Answers
Both numbers have a factor of 7ab. Pull that out by dividing.
Answer:
7 ab ( 8 ab² - 5 ) .
Step-by-step explanation:
Given : 56 a²b³ − 35 ab.
To find : Factor completely.
Solution : We have given 56 a²b³ − 35 ab.
Taking 7ab common form both terms .
7 ab ( 8 ab² - 5 ) .
Therefore, 7 ab ( 8 ab² - 5 ) .
Find the midpoint of the segment with the given endpoints. P(–2, 1) and Q(–3, 2)
Answers
Answer:
(-5/2, 3/2)
Step-by-step explanation:
The midpoint is the average of the coordinates of the endpoints:
(P +Q)/2 = ((-2, 1) +(-3, 2))/2 = (-2-3, 1+2)/2 = (-5/2, 3/2)
if 12 1/2% of a sum of money is $40 what is the total sum of money?
Answers
12.5% = $40
1% = 40 ÷ 12.5 = $3.20
100% = $3.20 x 100 = $320
Answer: $320
The total sum of money will be $320.
Let the total sum of money be represented by x.
Based on the information given, the equation to solve the question will be:
12 1/2% × x = 40
0.125x = 40
Divide by 0.125
x = 40/0.125.
x = 320
Therefore, the total sum of money will be $320.
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all I drink 3/4 of a 16 fluid ounce bottle of juice how many fluid ounces of juice are left in the bottle
Answers
multiply 16 oz. by 3/4 to find how many ounces are 3/4 of the bottle
=16 * 3/4
=(16*3)/4
=48/4
=12 ounces
STEP 2:
subtract step 1 answer from the whole 16 oz. to find number of ounces left
=16 - 12
=4 ounces left
CHECK:
multiply the whole 16 oz. by the fraction that would be left (4/4 - 3/4= 1/4). There are several ways to check this problem; this is just one way.
=16 * 1/4
=(16*1)/4
=16/4
=4
ANSWER: 4 ounces would be left
Hope this helps! :)
HURRY PLEASE ITS TIMED
In the year 2000, Franklintown had a population of 30,000 people. Its population had decreased by 3% each year since then. Part A: Can this situation be modeled by an exponential decay function, an exponential growth function, or neither? Explain. Part B: If the population continues to decrease at the same rate, what would you expect the approximate population to be in 2016? Show your work.
Answers
For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease rate
t: time
Substituting values we have:
y = 30000 * (0.97) ^ t
Answer:
this situation can be modeled by an exponential decay function.
Part B:
We have the following function:
y = 30000 * (0.97) ^ t
For the year 2016 we have to:
t = 16
Substituting values:
y = 30000 * (0.97) ^ 16
y = 18427.6096
Rounding:
y = 18428
Answer:
The approximate population for 2016 is:
y = 18428
The amount of money that a student at harvard university carries on his/her person is normally distributed with a mean of $25 and a standard deviation of $15. what is the probability that a randomly selected sample of 25 harvard university students will have an average amount of less than $22 on his/her person?
Answers
Standard deviation, s = $15
Sample size, n = 25 students
X <$22
Now,
Z = [(X - m)*Sqrt (n)]/s = [(22-25)*Sqrt(25)]/15 = -1
From Z tables,
P(X) = P(Z = -1) = 0.1587 = 15.87%
Therefore, probability that the selected sample has an average of less than $22 is 15.87%.
PLZ HELP ASAP CIRCLES
Answers
Therefore, the equation of the circle is:
(x + 1)^2 + (y - 1)^2 = 74
hey can you please help me posted picture of question
Answers
The composition of the function and its inverse must be zero. So the composition of 7x with x/7 is:
[tex](F( F^{-1}x)) \\ \\ =F( \frac{x}{7}) \\ \\ = 7(\frac{x}{7}) \\ \\ = x [/tex]
Thus, 7x and x/7 are inverse of each other.
So the answer to this question is option B
As viewed from above, a swimming pool has the shape of the ellipse x24900+y22500=1, where x and y are measured in feet. the cross sections perpendicular to the x-axis are squares. find the total volume of the pool. v = cubic feet
Answers
a=sqrt(4900)=70
b=sqrt2500=50
The squares are parallel to the y-axis, thus their sides extend in the y-axis direction, hence the length of the sides are:
y=+/-50sqrt(1-x^2/4900))
The area of the square
=y^2=[2500-2500(x^2/4900)
Thus, the volume will be sum along the x-axis from one of the ends of the ellipse to the other. by definition, the limits are (-a to a)=(-70 to 70)
But since the ellipse is symmetrical we can go from (0 to 70) and double the integral.
thus
V=2*int(0 to 70)[2500-2500(x^2/4900)]dx
=int(0 to 70)[5000-(50/49)x^2]dx
=[5000x-50/147x^3] (0 to 70)
=233,333 1/3 ft^3
in the plane figure shown below. if the degree measures of the angle are as shown, then x+y=
Answers
the sum of the internal angles in the figure shown is 360 degrees
so
360°=100°+60+70°+y+80°+x
360°=(x+y)+310°
(x+y)=360°-310°-----> 50°
the answer is
x+y is 50°
is this correct if not help me
Answers
You have properly counted squares and circles.
hey can you please help me posted picture of question
Answers
1. You have the following expression:
(11-7i)-(16-11i)
2. If you want to substract both terms, you need to substract the real numbers and the complex numbers. Then, you obtain:
11-7i-16+11i
(11-16)+(-7+11)
3. Then, you obtain the following result:
-5+4i
4. Therefore, as you can see, the correct answer is the second option (option B), which is:
B. -5+4i
Solution is shown below:
To add or subtract two complex numbers, the real part is added or subtracted from real part and the complex part is added to or subtracted from complex part as shown below:
(11 - 7i) - (16 - 11i)
= 11 - 7i - 16 + 11i
= -5 + 4i
So, the answer to this question is option B
How do you evaluate this equation: a number decreased by the difference of m and 7? Please help and quick!!
Answers
A number decreased by the difference of m and 7 can be translated into mathematical expression as
[tex]n-\left(m-7\right)[/tex]
12+5v=2v-9 please show step by step!
Answers
Subtract 12 from both sides.
5v = 2v - 21
Subtract 2v from both sides.
3v = -21
Divide both sides by 3.
v = -7
To get it, combine like terms and restrain the variable. Segregating both sides by 3 gives the solution to the equation as v = -7.
How to solve the expressionTo solve the condition 12 + 5v = 2v - 9, take after these steps:
Step 1: Segregate the variable terms on one side of the condition and the steady terms on the other side.
Subtract 2v from both sides to move the variable term to the cleared outside:
12 + 5v - 2v = 2v - 9 - 2v
Alter both sides of the condition:
12 + 3v = -9
Step 2: Separate the variable term by moving the reliable term to the other side.
Subtract 12 from both sides to move the dependable term to the proper side:
12 + 3v - 12 = -9 - 12
Unwind both sides of the condition:
3v = -21
Step 3: Light up for v by confining both sides of the condition by the coefficient of v, which is 3.
Portion by 3 to clarify for v:
v = -21 / 3
Streamline the division:
v = -7
The solution to the equation is v = -7.
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Which graph best represents the equation -4x + 5y = 10?
Answers
Do you have a photo to show the separate graphs?
Answer: these are the graphs and i need the answer
Step-by-step explanation:
When subtracted, what is the simplified form of (5 − 3i) − (4 + 6i)? Write the answer in standard form, a + bi, where a and b are real numbers.
Answers
5 - 3i - 4 - 6i Did you notice how the second set worked. That - sign affected both terms inside the brackets. Now collect your like terms.
5 - 4 - 3i - 6i The - 3i and - 6i act like money. You are three dollars in the hold and you spend another 6. Where does that put you ?
1 - 9i You are now 9 dollars in the whole.
One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of the crackers?
Answers
The amount of calories that are in 6 grams of crackers is 30 grams.
What is the amount of calories in the crackers?Division is the mathematical operation that is used to determine the quotient of a number. It is the process of grouping a number into equal parts using another number.
Calories in 6 grams = (150 / 30) x 6 = 30 grams
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Final answer:
To find the calories in 6 grams of Mike's crackers, divide the total calories by the total mass of one serving to get the unit rate (5 calories/gram) and then multiply by the mass in question (6 grams) to obtain 30 calories.
Explanation:
The question asks how many calories are in 6 grams of Mike's crackers, given that one serving of 30 grams has 150 calories. To find the calories in 6 grams of the crackers, we can use unit rate and proportions.
Step-by-Step Calculation
First, determine the calories per gram of the crackers by dividing the total calories by the total mass (in grams) of one serving. This gives us the unit rate: 150 calories / 30 grams = 5 calories per gram.
Next, since we're asked about the calories in 6 grams, we multiply the calories per gram (unit rate) by the mass: 5 calories/gram × 6 grams = 30 calories.
Therefore, there are 30 calories in 6 grams of Mike's crackers. This calculation illustrates the utility of understanding proportions and unit rates in everyday applications such as determining caloric intake from portions of food.
if you flip a coin four times what is the probability of flipping tails four times
Answers
Out of all 16 outcomes, there is only one way to get the result T T T T.
Therefore, the probability is 1/16 or 0.0625
the width of a rectangle is shown below:
Answers
B = A +(6, 0) = (-4, 4) +(6, 0) = (-2, 4)
D = C +(6, 0) = (-4, -3) +(6, 0) = (-2, -3)
The appropriate choice is the last one, ...
(-2, 4) and (-2, -3)
please help me with this if you can
Answers
(22.8 -22.3)/22.3 * 100% ≈ 2.2%
what is the domain and range of
y=-2(x-3)(x+4)
Answers
The vertex of this function is (-0.5, 24.5), so the range of y=-2(x-3)(x+4) is
-∞ < y ≤ 24.5
hello can you please help me posted picture of question
Answers
:)
Start from the inner most circle.
5 patrons like all 3 drinks.
8 patrons like Latte and Espresso. From these 8, 5 like all 3 drinks, so the patrons which only like Latte and Espresso will be 3.
Fill all the regions this way and you will get a diagram similar to the one given below.
Count all the numbers inside the circles. These add up to 47. This means 47 patrons like the drinks.
Total number of patrons was 50. So there are 7 such patrons which do not like any of these drinks.
So, the correct answer is option B
each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?
Answers
Turn 5 into a fraction. 5/1
Multiply the two fractions. 5/1 × 2/3 = 10/3
Simplify this to 3 1/3 pizzas.
Hope this helps!
We have that for the Question "each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate?" it can be said that each boy ate
Pt=3.333pizzaFrom the question we are told
each of 5 boys ate 2/3 of a pizza. what is the total amount of pizza the boys ate? total amount of pizza the boys ateGenerally the equation for the total amount of pizza the boys ate is mathematically given as
Pt=N*Ratio
Therefore
Pt=5*2/3
Pt=3.333pizza
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A listing of all possible outcomes of an experiment and their corresponding probability of occurrence is called
Answers
The listing of all possible outcomes for an experiment is known as a probability distribution.
The following information is related to the probability distribution is:
It is the table or an equation that is connected with each and every result of the statistical experiment along with the probability of occurrence.Also, it is the list of all possible experiment results.Therefore we can conclude that the listing of all possible outcomes for an experiment is known as a probability distribution.
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with an 18% discount, George was able to save 13.23 what was the original price
Answers
1% = $13.25 ÷ 18 = $0.7361
100% = $0.7361 x 100 = $73.61
Answer: $73.61
Marcus baked a loaf of banana bread for a party. He cut the loaf into equal size pieces. At the end of the party, there 6 pieces left. Explain how you can find the number of pieces in the whole loaf if Marcus told you that 1/3 of the loaf was left.
Answers
Under what circumstances is a t statistic used instead of a z score for a hypothesis test
Answers
Each square is one square meter