Answer:
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Step-by-step explanation:
With the information of the statement we can pose the following equations:
we have to "x" children tickets, "y" adult tickets and "z" senior citizen tickets.
20.5*x + 29.75*y + 15.25*z = 2914.25
we also have to:
z = 2*y
plus that:
x = z + 20, replacing, we have left:
x = 2*y + 20
now, we replace each other in the main equation:
20.5*( 2*y + 20) + 29.75*y + 15.25*(2*y) = 2914.25
41*y + 410 + 29.75*y + 30.5*y = 2914.25
101.25*y = 2504.25
y = 2504.25/101.25
y = 24.73
z= 2*24.73 = 49.46
x = 2*24.73 + 20
x = 69.46
"x" children tickets are 70, "y" adult tickets 50 and "z" senior citizen tickets 25
Answer:
Children tickets = 69.4667
Adult tickets = 24.7333
Senior tickets = 49.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
Step-by-step explanation:
Let's call the amount of children C, the amount of adults A and the amount of seniors S. Then, we can write the following system of equations:
C*20.5 + A*29.75 + S*15.25 = 2914.25 (eq1)
S = 2*A (eq2)
C = S + 20 (eq3)
Using eq2 in eq3, we have:
C = 2*A + 20 (eq4)
Using eq2 and eq4 in eq1, we have:
(2*A + 20)*20.5 + A*29.75 + 2*A*15.25 = 2914.25
41*A + 410 + 29.75*A + 30.5*A= 2914.25
101.25*A = 2504.25
A = 2504.25 / 101.25 = 24.7333
Now using eq2, we have:
S = 2*A = 49.4667
And using eq4, we have:
C = 2*A + 20 = 69.4667
(The decimal does not make sense as we cannot have a fractional amount of tickets, but with the information given, this is the correct answer)
Can someone help me and explain what to draw? I need this done ASAP
Answer: VV
Step-by-step explanation:
The distance from the tether ball pole to the edge of the circle is 5 feet what is the circumference of the circle ?
Answer:
31.416
Step-by-step explanation:
2 times Pi (3.14) times the radius (5)
The radius into the formula gives a circumference of 10π feet.
The circumference of a circle can be calculated using the formula:
Circumference = 2 x π x radius
Given that the radius of the circle is 5 feet, we can substitute this value into the formula to find the circumference:
Circumference = 2 x π x 5 = 10π feet
Therefore, the circumference of the circle is 10π feet.
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:
rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3
Write an equation to determine the area, A, of the patio that will be painted.
A = (x + 18)(x + 35)
A = (x + 15)(x + 25) + 30
A = (x + 5)(x + 22)
A = (x + 25)(x + 15) − 30
Answer:
A = (x + 18)(x + 35)
Step-by-step explanation:
Answer:
A = (x + 25)(x + 15) − 30
Step-by-step explanation:
Area of the patio:
Sp = lwl = x +25w = x + 15S = (x + 25)(x + 15)Area of bench:
Sb= lw = 10*3 = 30Area A to be painted is the area of patio minus area of bench:
A = (x + 25)(x + 15) - 30So the last choice is the correct one.
A student draws three cards from a standard deck of cards. If the student replaces the card after each draw, what is the probability that none of the chosen cards were spades?
A. 3/4
B. 63/64
C. 27/64
D. 1/64
Please help I’ll give brainliest answer
The probability that none of the chosen cards were spades is 27/64.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
A student draws three cards from a standard deck of cards. If the student replaces the card after each draw.
Number of spades card = 13
The number of non-spade cards would be 39
The probability that none of the chosen cards were spades = Number of favorable outcomes / total number of outcomes
= 27/64.
Thus, The probability that none of the chosen cards were spades is 27/64.
Learn more about probability;
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Pls help w 9 and 10 I need help
Answer:
theyre both b
Step-by-step explanation:
Pure silver has a density of 10.49 g/cm3. If you have
42 grams of pure silver, what is the volume of your sample?
Round to four significant digits.
0.2498 cm^3
1.915 cm^3
2.216 cm^3
4.004 cm^3
Answer: Volume of sample is 4.004 cm³
Step-by-step explanation:
Given: Density of pure silver is 10.49 g/cm³
Mass of silver = 42 grams
To find: The volume of sample
As we know
[tex]\text{ Density }= \dfrac{\text {Mass }}{\text {Volume }}[/tex]
As given in question we have
[tex]10.49 \text { g/}cm^3 = \dfrac{42 g }{\text {Volume}} \\\\\Rightarrow \text {Volume}= \dfrac{42g}{10.49\text { g/}cm^3 } \approx 4.0038 \approx 4.004 cm^3[/tex]
Hence 4. is the right option
Volume of sample is 4.004 cm³
can someone please help
Answer:
IV
Step-by-step explanation:
Answer:
the correct answer is ll
Step-by-step explanation:
because posative to posotive is section 1 and negative to posotive is section 2 and negativ to negative is 3
The ratio of the length of a rectangular field to its width is 4:3. If the length of the field is 100 meters, what is the perimeter of the field, in meters?
Answer:
350
Step-by-step explanation:
divide 100/4= 25
25*3=75 so width = 75 meters
perimeter= 2(l+w)
perimeter= 2(100+75)
perimeter= 2(175)
perimeter= 350
Answer:
IS THIS FOR RSMMM??
Step-by-step explanation:
350
please help me with this problem
Answer:
x - 16
Step-by-step explanation:
Let the height of the taller palm tree be x.
The shorter palm tree's height is
x - 16
Answer:
x < 16
This is the answer but there has to be 20 characters so I wrote this.
Just go with the other guys answer
A science experiment calls for ¾ cup of baking powder you have ⅓ cup of baking powder how much more baking powder do you need?
Answer:
5/12
Step-by-step explanation:
We have to find same denominator for both fractions;
3/4= 9/12
1/3= 4/12
9/12 minus 4/12= 5/12
You will need 5/12 powder more for the experiment.
Solve the quadratic equation by using either a numeric or a graphic approach.
x^2-11x-121= 0
The roots of the quadratic equation x² - 11x - 121 = 0 are, [11 ± 11(√5)]/2.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A quadratic equation x² - 11x - 121 = 0.
Applying Sridhar acharya's formula [- b ± (√b² - 4ac)]/2.
We have, [11 ± (√121 + 484)]/2.
[11 ± (√605)]/2.
[11 ± 11(√5)]/2.
x = (11 + 11√5)/2 or (11 - 11√5)/2.
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Jennet graphs the inequality Negative 6 less-than x on the number line below.
A number line going from negative 11 to negative 1. An open circle is at negative 6. Everything to the right of the circle is shaded.
Which best describes the accuracy of Jennet’s graph?
The graph is incorrect. The number line represents numbers greater than –6 and the “less than” symbol is used in the inequality.
The graph is incorrect. There should be a closed circle at –6.
The graph is incorrect. The number line represents numbers less than –6 and the “greater than” symbol is used in the inequality.
The graph is correct.
Answer: the graph is correct.
Step-by-step explanation:
Answer:
dD
Step-by-step explanation:
What number multiplied by 8 will give a product of 9.6?
Answer:
1.2
Step-by-step explanation:
Write out the equation and let mbe the missing number:
8 × m = 9.6
Divide 8 to both sides:
[tex]\frac{8}{8}[/tex] × m = [tex]\frac{9.6}{8}[/tex]
Simplify for M
m = 1.2
The number that needs to be multiplied by 8 to yield the product of 9.6 is 1.2. This is calculated by dividing 9.6 by 8.
Explanation:The student is asking to solve for a number that when multiplied by 8 results in the product of 9.6. This can be solved by a straightforward division operation. When we say, 'a number multiplied by 8 equals 9.6', we're actually writing an equation for multiplication. To get that number, we'll need to divide 9.6 by 8 because division is the inverse operation of multiplication.
Here's how you do it, step-by-step:
Write down the division operation of 9.6 ÷ 8. Perform the division.
The solution to 9.6 ÷ 8 is 1.2. So, the number multiplied by 8 to get 9.6 is 1.2.
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15 POINTSSS ANSWER ASAP PLEASE!!!!! What is the equation, in point-slope form, of the line that is
parallel to the given line and passes through the point (4, 1)?
y-1=-2(x - 4)
y-1=-{(x-4)
oy-1= (x-4)
y-1 = 2(x - 4)
Answer:
The Answer is : D
Step-by-step explanation:
First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.
Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).
y-1 = 2 (4-4)
y-1= 2 (0)
y-1= 0
y= 1
In this case D is correct.
TIP*
If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.
If 37% of high school students said that the excercise regularly, find the
probability that 5 randomly selected students will say thay they exercise
regularly. Answer as a percent with a % sign and no spaces or a decimal.
Convert your decimal to a % first and then round to the nearest thoudandth. If
leaving it in decimal form, round to the nearest hundred-thousandths.
The required probability is 0.687% or 0.6867.
Given Probability:
The probability that a single student exercises regularly is 37%, or 0.37.
Probability for Independent Events:
Since the events are independent events (each student's response does not influence another's), multiply the individual probabilities together. For 5 students, the calculation is :
[tex]Probability\ that\ 5\ randomly\ selected\ students\ will\ say\ thay\ they\ exercise\ regularly = P(5) = 0.37^5[/tex]
Calculation:
[tex]P(5) = 0.37^5 \approx 0.006867[/tex]
Converting to Percent:
To convert this decimal to a percentage, multiplying by 100:
[tex]0.006867 \times 100 \approx 0.6867 \%[/tex]
Rounding:
Finally, rounding to the nearest thousandth:
Probability = 0.687%
So, the probability that 5 randomly selected students will say they exercise regularly is approximately 0.687%.
NEED HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!
Answer:C
Step-by-step explanation:
please help!
You flip a coin, and then roll a number cube twice. (a number cube 1-6) Find the probability of the event.
1) Flipping head, rolling a 5, and rolling a 2
2) Flipping tails, rolling an odd number, and rolling a 4
3) Flipping head, not rolling a 2, and rolling an even number
Answer:
1) 1.4%
2) 8.3%
3) 20.8%
Step-by-step explanation:
Alrighty! You are looking at some compound probability problems.
The trick with these is to figure out the probability of each piece of an event, and then multiply those together to get the overall probability.
Quick note about notation: p(event A) is short hand for saying "The probability of event A is....."
1) Flipping head, rolling a 5, and rolling a 2
P(flipping heads) = 1/2
p(rolling a 5) = 1/6
p(rolling a 2) = 1/6
so: (1/2) x (1/6) x (1/6) = 1/72 or about 1.4%
2) Flipping tails, rolling an odd number, and rolling a 4
p(flipping tails) = 1/2
p(rolling an odd number) = 3/6
p(rolling a 4) = 1/6
so: (1/2) x (3/6) x (1/6) = 3/72 or about 8.3%
3) Flipping head, not rolling a 2, and rolling an even number
p(flipping heads) = 1/2
p(not rolling a 2) = 5/6
p(rolling and even number) = 3/6
so: (1/2) x (5/6) x (3/6) = 15/72 or about 20.8%
Which side of triangle QRS is the longest?
Explanation:
Refer to the diagram below. The longest side of a triangle is always opposite the largest angle. Angle Q = 80 is the largest angle, so the opposite side RS is the longest side.
Side note: the smallest side is always opposite the smallest angle
Answer:
The answer is B:QR
Step-by-step explanation:create the triangle or add angel Q+R=?then Q+S=? then see what has greater vauleHelp please! :) Its really late and cant process that much math, i did the others, but this first one confused me.
Answer:
150 in^2
Step-by-step explanation:
1/2*25*12=150
note: the number 20 and 15 doesn't matter as the formula for triangle is 1/2*w*h
but im sorry if it might be incorrect
Find the sum of the first six terms of the geometric series 1 + 4 + 16 + ...
Answer:
1365
Step-by-step explanation:
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
7.739
1.314
+ 2.073
Answer:
11
Step-by-step explanation:
1. round all decimals (7.739 to 8, 1.314 to 1, and 2.073 to 2)
2. 8+1+2=11
OR
1. 7.739+1.314+2.073=11.126
2. round answer (11.126 to 11)
answer is 11
For the equation y=5 + 6x, what does y equal when x is 4? Will mark brainliest
Answer:
y=29
Step-by-step explanation:
y=5+6(4)
y=5+24
y=29
BRAINLIEST PLZ
Answer:
When x is 4, y = 29
Step-by-step explanation:
the equation y = 5 + 6x, states that y equals 5 + 6 TIMES whatever x is.
So if x = 4, then you can substitute x in the equation to get this:
Y = 5 + 6(4) - substitute x with 4
Y = 5 + 24 - multiply 6 by 4 [6 + 6 + 6 + 6 = 6 x 4]
Y = 5 + 24 - add 5 and 24 together
Y = 29 - 5 + 24 = 29
Therefore, Y = 29
Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = to 86)?
Answer:
P(X >= 86) = P (Z >= 1) = 0.1587 from the Z-scores table
Step-by-step explanation:
Hopefully this time I will not make an algebraic mistake.
Ok
so mean u = 79, and standard dev = s = 7
We want P(X >= 86)
Standardize:
P ( (X - u)/s >= (86 - 79)/7 ) = P (Z >= 1) = 0.1587 from the Z-scores table
if it is P(x<=86) the answer is 0.84
Step-by-step explanation:
Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15
Answer:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
Step-by-step explanation:
When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:
a column for the values of x in each equationa column for the values of y in each equationa column for the independent values of each equationsince our system of equations is:
[tex]3x-5y=12\\ 4x-2y=15[/tex]
we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:
[tex]\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right][/tex]
Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:
[tex]\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right][/tex]
Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:
[tex]\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right][/tex]
usually there is a line separating the columns for the values of x and y, and the independent values:
[tex]\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right][/tex]
this is the matrix of the system of equations
Classify this triangle by the angles and length of side shown.
A. acute, equilateral
B. acute, scalene
C. right, isosceles
D. obtuse, scalene
Answer:
D. obtuse, scalene
Step-by-step explanation:
The largest angle is 116 degrees which is obtuse ( angle greater than 90 degree), so the triangle is classified as obtuse
All of the sides are different lengths, which is scalene( none of the sides are the same)
Solve (x +9)2 = 25.
1. Apply the square root property of equality:
2. Isolate the variable.
V(x + 9)2 = 1,25
If x + 9 = 5, then x = 1
If x + 9 =-5, then x=
Answer:
[tex]x = - 4 \: or \: x = - 14[/tex]
Step-by-step explanation:
We have been given the equation
[tex](x + 9) {}^{2} = 25[/tex]
and we are asked to apply the square root property of equality to our given a equation and isolate the variable
First, take the square root of both sides of our equation
[tex] \sqrt{(x + 9) {}^{2} } = \sqrt{25} [/tex]
[tex]x + 9 = \: 15[/tex]
[tex]x + 9 = 5 \: or \: x + 9 = - 5[/tex]
[tex]x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9[/tex]
[tex]x = - 4 \: or \: x = - 14[/tex]
THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION
[tex]x + 9 = 5 \: then \: x = - 4. \\ x + 9 = - 5 \: then \: x = - 14[/tex]
PLEASE MAKR ME BRAINLIEST IF YOU ARE HAPPY WITH THE ANSWER
Can you have a component of a unit vector that has been simplified have 20 points
a square root of 17 in the denominator?
O
Yes it is perfectly fine
O
No. You would have to multiply JUST the denominator by square root of 17.
No. You would have to multiply JUST the numerator by square root of 17.
No. You would have to multiply BOTH the numerator and the denominator by square
root of 17.
Find the product of (−3x − 2)(4x + 1). What is the coefficient of x when the product is written in simplest form?
1. Find the exact value for area of the triangle with the side lengths 5, 9, and 10.
Answer:
area = 6[tex]\sqrt{14}[/tex] units²
Step-by-step explanation:
Given the 3 sides of a triangle, we can use Hero's formula to calculate the area (A)
A = [tex]\sqrt{s(s-a)(s-b(s-c)}[/tex]
where s s the semi perimeter and a, b , c the sides of the triangle
let a = 5, b = 9 and c = 10
s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{5+9+10}{2}[/tex] = [tex]\frac{24}{2}[/tex] = 12
A = [tex]\sqrt{12(12-5)(12-9)(12-10)}[/tex]
= [tex]\sqrt{12(7)(3)(2)}[/tex]
= [tex]\sqrt{504}[/tex]
= [tex]\sqrt{36(14)}[/tex]
= 6[tex]\sqrt{14}[/tex] units²
Answer:
Step-by-step explanation:
a = 5 units ; b = 9units ; c = 10 units
Semi perimeter = (a+b+c)/2 = (5+9+10)/2 = 24/2 = 12 units
s-a = 12 -5 = 7 units
s -b = 12 - 9 = 3 units
s-c = 12- 10 =2 units
[tex]Area=\sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{12*7*3*2}\\\\=\sqrt{2*2*3*7*3*2}\\\\=2*3\sqrt{2*7}\\\\=6\sqrt{14}\\[/tex]
=6*3.742 = 22.452
= 22.45 square units
The volume of a cylinder is 63.6 cubic inches,
and its height is 9 inches. Find the diameter of
the base of the cylinder.
Final answer:
To find the diameter of the base of the cylinder, use the formula for the volume to solve for the radius, then double the radius to find the diameter.
Explanation:
To find the diameter of the base of the cylinder, we need to first find the radius. We can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height. Rearranging the formula to solve for the radius, we have r = √(V/πh).
Plugging in the given values: V = 63.6 cubic inches and h = 9 inches, we can find the radius: r = √(63.6/3.142 x 9).
Calculating the values: r ≈ √(20.2649) ≈ 4.5055 inches. The diameter is twice the radius, so the diameter ≈ 2 x 4.5055 ≈ 9.011 inches.