Tickets were sold for a program at a college .It cost $4 for general admission or $3 with a student ID.
Let
number of people that used student ID = x
number of people that used the general admission cost = y
[tex]x\text{ + y = 181}[/tex][tex]3x\text{ + 4y = 616}[/tex][tex]\begin{gathered} x+y\text{ = 181} \\ 3x+4y=616 \\ x=181-y \\ 3(181-y)+4y\text{ = 616} \\ 543-3y+4y=616 \\ y=616-543 \\ y=73 \\ x+73=181 \\ x=181-73 \\ x=108 \end{gathered}[/tex]108 used the student ID ticket while 73 used the general admission ticket .
A six -sided fair number cube is rolled once . What is the probability that the result is a 2 or a 5? Select one :1/61/32/55/6
total number of sides = 6
sides that are 2 or 5 = 2
Divide the sides thata re 2 or 5 (2) by the total sides:
2 /6 = 1/3
Ganymede is one of Jupiter’s moons. It takes Ganymede 7 days, 3 hours, and 15 minutes to make one rotation around Jupiter. How many hours does it take Ganymede to complete a full rotation? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
The number of hours it will take Ganymede to complete a full rotation is; 171.25 hours.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
The first step must be to convert days to hours. A day is equivalent to the 24 hours.
1 day = 24 hours
24 x 7 = 168 hours
The second step must be to convert minutes to hours,
60 minutes = 1 hour
15 / 60 = 0.25 hours
Now, add up all the converted hours together;
Total hours = 168 hours + 3 hours + 0.25 hours
Total hours = 171.25 hours
Learn more about multiplications;
https://brainly.com/question/14059007
#SPJ1
how would i rewrite the polynomial in the form ax^2+bx+c and then identify the values of a,b, and c1/3x^2+7-6x
Answer:
a=1/3, b=-6, c=7
Explanation:
Given the polynomial:
[tex]\frac{1}{3}x^2+7-6x[/tex]We reorder it to rewrite the polynomial in the form ax²+bx+c:
[tex]\frac{1}{3}x^2-6x+7[/tex]Next, by comparing:
• a is the coefficient of x²: a=1/3
,• b is the coefficient of x: b=-6
,• c is the constant: c=7
[tex]a=\frac{1}{3},b=-6,c=7[/tex]Please help !
Place the following real numbers in order from least to greatest.
227
-3
-4.5
165
Answer: -4.5,-3,165,227
Step-by-step explanation:
I need help with this problem
Answer:
y = x-13
Step-by-step explanation:
So this question asks for two numbers. Let's call them x and y.
Since we know that x is larger than y, and the difference between them is 13, x must be greater than y by 13. So, x = y + 13
x = y + 13 isn't what the question is asking for though, so we have to isolate y to make one side contain only x and numbers. To do that, subtract both sides by 13 to get:
x - 13 = y
rearrange:
y = x - 13
(d) Find the domain of function R. Choose the correct domain below.
Answer:
d
Step-by-step explanation:
The number of years must be non-negative.
This eliminates all of the options except for d.
How can you solve, write and graph inequalities on a number line?
Let's use the following inequation as an example:
[tex]2y>6[/tex]First let's simplify it dividing the inequation by 2:
[tex]y>3[/tex]Now, let's draw a number line, and include the point 3 in it:
We want the values of y that are greater than 3, that is, the numbers to the right of the number 3 in the number line. So we mark the area that corresponds to the values of y that satisfies the inequation:
The number 3 is not part of the answer, because 3 is not greater than 3, so we draw a small empty circle on the number 3. If the number 3 was part of the answer, the circle would be filled.
anwser? please i need this to pass my test and i dont understand
Based on the conversion rate between kilometers and miles, the data to complete the table is:
8 miles : 12.88 kilometers 0.93 miles : 1.5 kilometers 5.58 miles : 9 kilometers 3.1 miles : 4.991 kilometersHow to convert miles to kilometers?For every given mile, there will be 1.61 kilometers. To convert miles to kilometers therefore, you have to multiply the number of miles by the number of kilometers in a mile.
If given 8 miles, the number of kilometers is:
= 8 x 1.61
= 12.88 kilometers
If given 3.1 miles, the number of kilometers is:
= 3.1 x 1.61
= 4.991 kilometers
If given 1.5 kilometers, then the number in miles is:
= 1.5 x 0.62
= 0.93 miles
If given 9 kilometers, then the number in miles is:
= 9 x 0.62
= 5.58 miles
Find out more on miles and kilometers at https://brainly.com/question/25756854
#SPJ1
7/9 ÷ 3/9 = ????????
7/9 ÷ 3/9 =
= (7•9)/( 3•9)
= 63/27 = 7/3
Answer is 7/3
What is the solution set to -3x - 39 > 12
Answer:
x < -17
Step-by-step explanation:
-3x - 39 > 12 Add 39 to both sides
-3x > 51 Divide by -3 and flip the inequality sign
x<-17
Answer: x < -17
Step-by-step explanation: add 39 to both sides then divide 3 on 3x and 51 That is how you answer it. flip the sign to a positive
A recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe bya factor of 4 how many cups of flower does the chef need
The number of cups needed by the chef is 9 1/3 cups.
How to calculate the fraction?A fraction simply means a part of a whole number.
In this case, the recipe requires 2 and 1 third cups of flower the chef needs to increase the recipe by a factor of 4.
The cups needed will be:
= 2 1/3 × 4
= 7/3 × 4
= 28/3
= 9 1/3 cups.
This illustrates the concept of fractions.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
How to calculate mode and media
Place the data points in descending order of size to find the center number. The median is as shown. The median is the average of the two numbers if there are two of them. The number that appears the most frequently in a piece of data is the mode.
The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode. Organize the numbers in a set in whatever order—from lowest to highest or highest to lowest—and then tally the frequency with which each number appears in the group. The mode is the one that shows up most frequency
To know more about mode and median anhttps://brainly.com/question/542771
#SPJ1
Solve. Richard Saltwood's car averages 270 miles on its 18-gallon tank of gas. If Richard runs out of gas and a mechanic comes to his rescue with 2 3/10 gallons of gas, determine how far his car can go. Round to the nearest mile.
ANSWER:
35 miles
STEP-BY-STEP EXPLANATION:
We can make a proportion, since we know the number of miles per 18 gallons, so for 2 3/10 gallons we can calculate the number of miles proportionally
[tex]\begin{gathered} 2\frac{3}{10}=\frac{23}{10} \\ \text{The proportion is} \\ \frac{270}{18}=\frac{x}{\frac{23}{10}}\rightarrow\frac{270}{18}=\frac{10x}{23} \end{gathered}[/tex]solving for x:
[tex]\begin{gathered} 18\cdot10x=270\cdot23 \\ 180x=6210 \\ x=\frac{6210}{180} \\ x=34.5\cong35 \end{gathered}[/tex]Therefore you can travel a total of 35 miles.
Complete the following truth table. Use T for true and F for false.You may add more columns, but those added columns will not be graded.
Given,
The equation of table is
[tex]\urcorner p\wedge\urcorner q^{}[/tex]Here,
[tex]\begin{gathered} p\text{ q }\urcorner p\text{ }\urcorner q\text{ }\urcorner p\wedge\urcorner q \\ T\text{ T F F F} \\ T\text{ F F T F} \\ F\text{ T T F F} \\ F\text{ F T T T} \end{gathered}[/tex]Hence, the output of the table is F, F, F, and T
Find the value of X. If ur answer is not an integer
Answer: x = (5√2)/2
The last option
Explanation:
The given triangle is a right triangle. Taking angle 45 as the reference angle,
hypotenuse = 5
opposite side = x
We would find x by applying the sine trigonometric ratio which is expressed as
sin θ = opposite side/hypotenuse
By substituting the given values into the equation,
sin45 = x/5
Recall,
[tex]sin45\text{ = }\frac{\sqrt{2}}{2}[/tex]Thus,
[tex]\begin{gathered} \frac{\sqrt{2}}{2}\text{ = }\frac{x}{5} \\ By\text{ crossmultiplying,} \\ x\text{ = }\frac{5\sqrt{2}}{2} \end{gathered}[/tex]x = (5√2)/2
The last option
What is the measure of angle 1 in the picture below?2135°O 90 degreesO 225 degreesO 45 degreesO 135 degrees
1 and 135 are corresponding angles.
Corresponding angles on parallel lines are equal
m<1= 135 degrees
I only need the answer
THANK YOU!!
The expression is √3/2 (sin x) - (cos x)/2
Here we have
sin( x + 11π/6)
We have to express it in terms of sin(x) and cos(x)
sin ( 2π - π/6 + x)
sin ( 2π + ( x - π/6))
sin(2π + Ф ) = sin Ф
So
sin( x - π/ 6)
Formula :
sin(A -B) = sin A cos B - cos A sin B
sin( x - π/ 6)
sin x cos π/6 - cos x sin π/6
con π/6 = √3/2 and sin π/6 = 1/2
√3/2 sin x - 1/2 cos x
Therefore the expression is √3/2 sin x - 1/2 cos x.
To know more about trigonometry refer to the link given below:
https://brainly.com/question/10083069
#SPJ1
What is the volume of this container? 4 in.
4 in.
1 in.
4 in.
2 in.
64 in²
56 in³
56 in²
64 in³
An object's capacity is expressed in terms of volume.
The container's volume is 56 in3.
How to find the container's volume?The capacity of an object is expressed in terms of volume.
A cup's capacity is said to be 100 ml, for instance, if it can hold 100 ml of water in its brim.
The quantity of space a three-dimensional item takes up can also be referred to as volume.
The figure's volume is equal to Bh.
V = Bh
where
B is the base's region.
h is the figure's height.
h = 4 in
The area of the base B is
B = (4*4) - (1*2) = 14 in
V = 14*4 = 56 inch cube.
To learn more about volume, refer
https://brainly.com/question/463363
#SPJ13
you want to use a spoon section of your yard for a chicken pen. you have at most 50 feet of fencing to form the fun. Find the possible length of each side of the chicken pen
The sum of the length around a square is known as the perimeter thus the possible length of each side of the chicken pen assuming it to be square is 12.5 feet.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
Perimeter of square = side + side + side + side
Let's assume the chicken pen to the square in order to find the length of each side.
Now since fencing is fitted around the sides so it will be the same as the perimeter of the square.
Perimeter of square = 4 × side
4 × side = 50
Side = 50/4 = 12.5 feet.
Hence "The sum of the length around a square is known as the perimeter thus the possible length of each side of the chicken pen assuming it to be square is 12.5 feet".
To learn more about Perimeter,
https://brainly.com/question/6465134
#SPJ1
can anyone solve? 14 x 3 - 2 + 3
Answer:
43
Step-by-step explanation:
So, the key to solving this is PEMDAS, or parenthesis, exponents, multiplication/division from left to right, and addition/subtraction from left to right. So, you start off with 14x3, which is 42. So, you have 42-2+3. Next, you have to do 42-2, which is 40. Finally, you do 40+3, which is 43.
Answer:
43
Step-by-step explanation:
14 x 3 - 2 + 3
PEMDAS says multiply before adding or subtracting
42 - 2 + 3
Then subtract
40 +3
Then add
43
What is the value of the function at x=−3? Responses y = 3 y, = 3 y = 0 y, = 0 y = 4 y, = 4 y=−3
The function has a value of y = 4 when x =-3
How to determine the value of the function?The graph that completes the question is added as an attachment
From the graph, we can see that:
The graph of the function is a linear function
This is so because the function is a straight line
Note that:
Linear equations are equations that have constant average rates of change.
On the straight line, we can see that
The value of the function when x = -3 is 4
This means that
y = 4
Hence, the value of the function at x = -3 is y = 4
Read more about functions at
https://brainly.com/question/5994384
#SPJ1
Factor the expression 54x2-6y^2?
True or false?
A supply shock is a sudden shortage of a good.
The following statement "A supply shock is a sudden shortage of a good" is true.
A supply shock is an unexpected incident that abruptly affects the supply of a product or commodity, resulting in an unanticipated change in price. Supply shocks can be negative, resulting in a fall in supply, or positive, resulting in an increase in supply.
Assuming that aggregate demand remains constant, a negative (or unfavorable) supply shock causes a product's price to rise, whereas a positive supply shock causes the price to fall.
To know more about Supply shock here
https://brainly.com/question/26847052
#SPJ1
Evaluate the expression a-5 -b, when a= 10 and b=4
Given the expression:
a - 5 - b
we want to evaluate it when a = 10 and b = 4. To do it, we have to replace these values into the equation as follows:
10 - 5 - 4 = 1
please can you help me to solve an equation ?Determine whether the statement is true or false : The slope of the line y = 1 is zero
The given line equation is y=1.
The general form of the line equation is
[tex]y=mx+b[/tex]Comparing this equation with y=1, we get
[tex]mx+b=1[/tex][tex]mx+b=(0)x+1[/tex]Compare coefficient of x and constant term, we get
[tex]m=0\text{ and b=1}[/tex]Here m=0 is the slope of the line y=1.
Hence the slope of the line y = 1 is zero.
This statement is true.
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1035 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 8^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 5^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The angle of elevation reduces. The distance between points A and B is roughly 1,269.9 ft.
The distance between point A and the lighthouse is 968 feet.
The angle of elevation from point A to the lighthouse is 7 degrees.
Elevation angle from point B to the lighthouse = 3°
The distance between points A and B.
tan 7° = Height of the sea / 968 feet
tan(7°) 968 feet 118.86 feet = height to the lighthouse
We have from point B;
tan 3° = 118.86 / Horizontal distance from B to HL
Therefore;
Horizontal distance from LH to boat = 118.6 / tan 30° = 2237.9 = feet
Therefore;
D is the distance between A and B.
D = Horizontal distance between B and LH - Horizontal distance between A and LH
A to B distance = 2237.9 feet − 968 feet 1269.9 feet
The distance between points A and B is 1,269.9 ft.
Learn more about trigonometric ratios at
https://brainly.com/question/25909273
#SPJ9
Answer:
The Boat traveled 628 ft, from point A to point B.
Step-by-step explanation:
Its 628 bc I just got it correct on my hw.
A car rental company offers two plans for renting a car.
Plan A: 35 dollars per day and 10 cents per mile
Plan B: 55 dollars per day with free unlimited mileage
How many miles would you need to drive in one day for plan B to save you money?
Answer:
Less than 200 miles, A is cheaper
At 200 miles, they are the same
Over 200 miles, B is less expensive
Step-by-step explanation:
Suppose you are driving to your vacation destination. You are driving at an average rate of 60 miles per hour. You must drive a total of 235 miles. If you had already driven 55 miles, how long will it take you to reach your destination?
Four points W, X, Y, Z are chosen at random on the circumference of a circle. What is the probability that WX > YZ?
The probability to choose WX > YZ is 1/2.
What is mean by Probability?
The term probability refers to the likelihood of an event occurring.
Given that;
Four points W, X, Y, Z are chosen at random on the circumference of a circle.
Now,
By the four points W, X, Y, Z we make two line WX and YZ.
So, There are two relation between the line WX and YZ.
Thus, The probability to choose WX > YZ is;
Probability = Possible event / Total possibility
= 1/2
Therefore, The probability to choose WX > YZ is 1/2.
Learn more about the probability visit:
https://brainly.com/question/24756209
#SPJ1
Evaluate.
1045+(834−612)
Enter your answer as a mixed number in simplest form by filling in the boxes.
The value of the expression given as 1045 + (834 − 612) is 1267
How to evaluate the expression?The expression is given as
1045+(834−612)
Evaluate the brackets in the above expression
So, we have the following equation
1045 + (834 − 612) = 1045 + 222
Evaluate the sum in the above expression
So, we have the following equation
1045 + (834 − 612) = 1267
The above equation/expression cannot be solved further
So, we make our conclusion
Hence, the solution to the expression is 1045 + (834 − 612) = 1267
Read more about expressions at
https://brainly.com/question/4344214
#SPJ1