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Related Questions
when a family with two adults and three children bought tickets for a movie, they paid a total of $27.75. The next family in line, with two children and three adults, paid $32.25 for the same movie. Find the adult and child ticket prices by writing a system of equations with two variables
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To determine the ticket prices at Family Flicks, we create a system of equations using variables A for adult tickets and C for child tickets, then solve for A and C using the given information.
To find the adult and child ticket prices for movies at Family Flicks, we can establish a system of equations based on the information provided. Let's denote the price of an adult ticket as A and the price of a child ticket as C. From the first family's purchase, we have the equation 2A + 3C = $27.75. The second family's purchase gives us the second equation 3A + 2C = $32.25. Solving this system of equations will provide us with the prices for the adult and child tickets.
What is the approximate surface area of a cylinder with a height of 12 meters and a base radius of 2 meters?
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Word form: 2(area of base) + (circumference of base)(height)
Find the numbers you need to plug in to the formula.
Area of base: [tex] \pi [/tex]2² = 12.57 m²
Circumference of base: 2[tex] \pi [/tex]2 = 12.57 m
Height: 12 m
Plug these numbers in to the formula.
2(12.57) + (12.57)(12) = 175.98
The SA of the cylinder is 175.98 m².
There are 3 black marbles and 4 red marbles in a bag.
What is the probability you will pick two black marbles out of the bag without replacing the first one chosen?
A) 6/8
B) 9/49
C) 5/13
D) 1/7
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The probability that the first marable is black
[tex]P(A_1)=\dfrac{3}{7}[/tex]
The probability that the second marable is black too
[tex]P(A_2)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Together:
[tex]P(A)=P(A_1)\cdot P(A_2)=\dfrac{3}{7}\cdot\dfrac{1}{3}=\dfrac{1}{7}\to D[/tex]
The probability you will pick two black marbles out of the bag without replacing the first one chosen is, 1 / 7.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
There are 3 black marbles and 4 red marbles in a bag.
Hence, Total number of marbles = 3 + 4 = 7
Thus, The probability you will pick one black marbles out of the bag is,
⇒ 3 / 7
And, The probability you will pick another black marbles out of the bag is,
⇒ 2 / 6
⇒ 1 / 3
Thus, The probability you will pick two black marbles out of the bag without replacing the first one chosen is,
⇒ 3/7 × 1/3
⇒ 1/7
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Charlene is looking at a pair of earrings that costs 10$. Find the totlat cost of the earrings if there is a 15% discount and the sales tax is 8%.Does it matter if the discount is taken before if after the sales tax is added?
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Remark
The correct method is to take the reduction and then add the sales tax. It turns out you get the same answer no matter which way you do it. But the IRS is only interested in the tax put on the eventual selling price and not on any theoretical price you may have gotten before the reduction
Obviously the government would prefer the second method (they get more taxation income) but so far they have not closed that loophole.
Correct Method
Cost of earrings = $10
Find 15% reduction 10*15% = 10*15/100 = 1.5 dollars.
Find the reduced price
10 - 1.5 dollars = 8.5 dollars.
Find the tax on 8.5 dollars.
Amount Tax = 8.5 * 8/100 =0.68 dollars
Add this onto 8.50
Total Cost = 8.50 + 0.68 = $9.18
Answer to Question about order
Now suppose you take the tax first and add it on.
10 * 8/100 = 0.80
Add this onto the selling price 10 + 0.80 = 10.80
Now take the 15% reduction
10.80 * 15/100 = 1.62
Subtract this from the taxed amount
10.80 - 1.62 = 9.18 which doesn't seem to matter.
How do I write a linear inequality that represents the graph?
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Answer:
[tex]y > -x+4[/tex]
Step-by-step explanation:
we know that
The solution of the inequality is the shaded area above the dotted line
The slope of the dotted line is negative
The y-intercept of the dotted line is (0,4)
The x-intercept of the dotted line is (4,0)
Find the slope of the dotted line
[tex]m=(0-4)/(4-0)\\ m=-1[/tex]
The equation of the dotted line in slope intercept form is equal to
[tex]y=mx+b[/tex]
we have
[tex]m=-1[/tex]
[tex]b=4[/tex] -----> y-intercept
substitute
[tex]y=-x+4[/tex]
Find the equation of the inequality
Remember that the solution is the shaded area above the dotted line therefore
The inequality is
[tex]y > -x+4[/tex]
A circular pizza has a diameter 10cm.what is the approximate area of the pizza?(use pi=3)
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Circle Formula for Area= πr^2
C= πr^2
= (3)(5)^2
square 5; when squaring, multiply the number by itself one time
= 3(5*5)
= 3(25)
= 75 cm^2
ANSWER: The approximate area is 75cm^2 (using 3 for π).
Hope this helps! :)
PLEASE HELP ME!!!!!!!
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The slope value of the line drawn is 2
Choosing the points to be used to calculate the slope from the graph;
(3, 7) and (0, 1)Slope = Rise / Run
Rise = y2 - y1 = (1 - 7) = -6Run = x2 - x1 = (0 - 3) = - 3This means:
Slope = -6/-3
slope = 2
Therefore, the value of the slope is 2
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If x = 15 units and h = 6 units, then what is the area of the triangle
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Area of a triangle is 1/2 * base * height.
1/2 * 15 * 6
1/2 * 90
45
45 units² is your answer.
find the next number in the given series?2,3,8,27,112,?
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2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
SOMEONE HELP GIVING 50 POINTS HELP HELP HELP I NEED ALL THE ANSWERS
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if m<cdb=50 degrees, what is m<edg?
answer options are:
A. 35 DEGREES
B. 40 DEGREES
C. 45 DEGREES
D. 50 DEGREES
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Answer: the answer is C. 45.
the monthly popcorn special comes in a bowl that is shaped like a hemisphere. the diameter of the bowl is 10 inches. the theater sells the cylindrical container of popcorn for $5.25. if they sell the bowl of popcorn for $5.00, is it a good deal
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Answer: it would be a good deal because if you do you 1/3x (3.14) or pie x (5) cause it’s the diameter and 10 divided by 2 is 5
Step-by-step explanation:
Evaluate the expression. If necessary, round to the nearest hundredth. lne^3x^2
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lne ^ 3x ^ 2
Rewriting we have:
ln (e ^ (3x ^ 2))
By properties of the natural and exponential logarithm function, we can
rewrite the expression as:
ln (e ^ (3x ^ 2)) = 3x ^ 2
Answer:
The equivalent expression is given by:
3x ^ 2
by the properties of logarithm
lna^x = xlna
so, the equation goes by
3x^2 lne; lne = 1
so the equation is 3x^2
A=12h(b1+b2) solve for b1 please.
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Plus, if you are finding the area
the equation would be like this
A: 1/2 (b1+b2) x 12h
Isolate b1 in the equation A=12h(b1+b2) by first subtracting 12h*b2 from both sides and then divide both sides by 12h. The result is b1 = (A - 12h*b2) / 12h.
Explanation:In order to solve the equation A=12h(b1+b2) for b1, we need to isolate b1. We begin by subtracting the product of 12h times b2 from both sides of the equation. This gives us A-12h(b2) = 12h(b1).
Next, we divide both sides of the equation by 12h to solve for b1, resulting: b1 = (A - 12h*b2) / 12h.
So, if you can determine the values of A, b2, and h from your problem, you can substitute those in to get your solution for b1.
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The set of all numbers on the number line are called the ____________.
A number that has an equivalent terminating or repeating decimal is called a(n) _______________.
A number that has an equivalent decimal that is non-repeating is called a(n) _______________.
Any number that can be written as a fraction of integers is a(n) ______________.
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Irrational
Ratio
Rational
The set of all numbers on a number line is called the "Real Numbers".
What is a rational number?Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.
The set of all numbers on a number line is called the "Real Numbers".
A number that has an equivalent terminating or repeating decimal is called a "Rational Number".
A number that has an equivalent decimal that is non-repeating is called an "Irrational Number".
Any number that can be written as a fraction of integers is a "Rational Number".
Hence, the set of all numbers on a number line is called the "Real Numbers".
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5 − (x + 5) > −2(x + 4)
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How can you find the area of a polygon that is not one for which you know an area formula
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6 clients are throwing a party. Each cake serves 24 servings and has a party of 70 +3staff how many cakes are needed?
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To serve 73 people at a party, 4 cakes are needed since each cake serves 24 people and it is not possible to have a fraction of a cake.
Explanation:To determine how many cakes are needed for a party with 70 guests and 3 staff members, we need to calculate the total number of servings required and then divide this by the number of servings each cake provides.
First, we add the number of guests and staff to find the total number of people at the party:
Number of guests: 70Number of staff: 3Total number of people: 70 + 3 = 73Each cake serving is designed to serve 24 people. We divide the total number of people by the number of servings per cake to find out how many cakes are needed:
(Total number of people) ÷ (Servings per cake) = Number of cakes
73 ÷ 24 = 3.04166667
Since you cannot have a fraction of a cake, you need to round up to the next whole number. Therefore, you need 4 cakes to have enough servings for everyone at the party.
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4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
To determine the number of cakes needed, we must first calculate the divide that number by the number of servings each cake provides.
First, we add the number of guests to the number of staff:
70 guests + 3 staff = 73 people in total.
Next, we need to ensure that each person gets one serving of cake. Since each cake serves 24 servings, we divide the total number of people by the number of servings per cake:
73 people · 24 servings per cake = 3 cakes with some servings left over.
Since we cannot serve a fraction of a cake, we must round up to the nearest whole number to ensure that there are enough servings for everyone. Therefore, we need 4 cakes in total to serve all 73 people at the party.
In conclusion, 4 cakes are needed for the party to ensure that each of the 70 guests and 3 staff members receives a serving of cake.
12+root of 35 divided by 2 + 12-2 root of 35 divided by 2
Answers
First, you want to bring everything together on the top of the fraction.
12=24/2 so you can have [tex] \frac{24+ \sqrt{35}+12-2 \sqrt{35} }{2} [/tex]
Add like terms -- 12 +24 = 36 [tex] \sqrt{35}-2 \sqrt{35} = \sqrt{35} [/tex]
Now we are at [tex] \frac{24+ \sqrt{35} }{2} [/tex] Which is the lowest possible simplified version while remaining at exact value.
Feel free to check my math! I kinda did this off the top of my head.
The question involves simplifying arithmetic expressions with square roots and division, emphasized on correctly applying order of operations and rules for dealing with exponents.
Explanation:The student's question involves simplifying expressions containing the square root and the division operation. To simplify expressions like 12 + √35 divided by 2 and 12 - 2√35 divided by 2, we need to perform operations step by step, applying the correct order of operations.
When parenthesis is used, it indicates that we should evaluate that part of the expression first, followed by multiplication or division, and finally addition or subtraction. It is important to pay careful attention to the operation signs and ensure that each step is followed correctly. Working with square roots and division can be tricky, but by breaking down the expression into smaller parts and solving them one by one, we can arrive at the correct answer.
For instance, to solve expressions like 3².35, we need to apply the exponential rules, such as xPx9 = x(p+q). This indicates that you should add the exponents when multiplying numbers with the same base. While this particular rule may not directly apply to the expression in question, knowing rules for operations with exponents can help simplify complex arithmetic expressions.
During a three–day period, the stock of Money, Inc. gained 6 points, lost 10 points, and gained 2 points. What was the total change in points for the three days?
A.
2 points
B.
4 points
C.
–6 points
D.
–2 points
Answers
0+6=6
6-10=-4
-4+2=-2
Answer:
the answer is D
Step-by-step explanati
The figure shows a trapezoid with a height of 4 units. The area of the trapezoid is 20 square units. Select all of the dimensions for a and b that would represent the trapezoid
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Which of the following show a geometric series? Select all that apply.
A. 2 + 3 + 4.5 + 6.75 + …
B. 2 + 2.5 + 3 + 3.5 + …
C. 6 + 7 + 9 + 12 + …
D. 4 + 8 + 16 + 20 + …
E. 8 + 4 + 2 + 1 + …
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Answer:
only A. and E.
Step-by-step explanation:
The answer would be option(A) and (E) are show a geometric series.
A. 2 + 3 + 4.5 + 6.75 + …
E. 8 + 4 + 2 + 1 + …
What is a Geometric Series?Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.
The standard equation for geometric series as:
Tₙ = a₁ rⁿ⁻¹
where a₁ is the first term and r is the common ratio.
A. 2 + 3 + 4.5 + 6.75 + …
Here, first term a₁ = 2 ,
The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5
So, this is a geometric series.
E. 8 + 4 + 2 + 1 + …
Here, first term a₁ = 8 ,
The common ratio r = 4/8 = 2/4 = 1/2 = 0.5
So, this is a geometric series.
Hence, the option(A) and (E) are show a geometric series.
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Christy works at a bakery. The bakery sells cakes, cupcakes, and pies. Hayley ordered the cake shown .
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Tara is researching the stork population living in a bird reserve. On her first day, she captures and tags 41 birds. Two weeks later, she captures 57 birds and finds that 48 are not tagged. Estimate the actual number of storks in the bird reserve
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what is the triangle proportionality therom
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If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
The Triangle Proportionality Theorem asserts that a line drawn parallel to one side of a triangle divides the other two sides proportionally. This is related to the properties of similar triangles, where the corresponding sides of similar triangles are proportional due to the AAA similarity criterion.
The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally. This means that the segments created on one side of the triangle are in the same ratio as the corresponding segments on the other side of the triangle. For example, in [tex](\Delta ABC)[/tex] with a line parallel to [tex](\overline{BC})[/tex], the theorem asserts that [tex](\frac{AD}{DB} = \frac{AE}{EC})[/tex].
This concept is deeply rooted in the properties of similar triangles which are based on the Angle-Angle-Angle (AAA) similarity criterion. According to the AAA theorem, if two triangles have corresponding angles that are equal, then their corresponding sides are proportional. Thus, if two triangles are similar, the lengths of their corresponding sides form a proportion such as [tex](\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF})[/tex], where each fraction is the ratio of a pair of corresponding sides.
The principles of the Triangle Proportionality Theorem can be applied in various geometric problems, often to compare the lengths of sides within the same triangle or in two similar triangles. It is also useful in determining distances or heights by applying the theorem to real-life scenarios, such as calculating the height of a wall using the shadow it casts, provided the sun's rays are considered parallel.
Evaluate the expression.
12(43−6⋅32)
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but if its 6.32
its 440.16
Helpppp me i have no ideaaaa
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[tex]remainder = \frac{ - 1}{x + 3} [/tex]
[tex]quotient = 4x + 4[/tex]
Mark Borrowed $5,500 at 11.5 percent for 5 years (2.199) what is the amount of Marks total payment?
Answers
l= prt
l= 5500(.115)(5 )= $3162.5 is the total amount of interest to pay.
Answer:
The amount of Mark's Total payment is $9478.15.
Step-by-step explanation:
Given : Mark borrowed $5,500 at 11.5 percent for five years.
To find : What is the amount of Mark's total payment?
Solution :
Using compound interest formula,
[tex]A=P(1+r)^t[/tex]
Where A is the amount,
P is the principle P=5,500
r is the rate r=11.5%=0.115
t is the time t= 5 years
Substitute the value,
[tex]A=P(1+r)^t[/tex]
[tex]A=5500(1+0.115)^5[/tex]
[tex]A=5500(1.115)^5[/tex]
[tex]A=5500(1.7233)[/tex]
[tex]A=9478.15[/tex]
Therefore, The amount of Mark's Total payment is $9478.15.
A 1/4 lb package of sunflower seeds cost 79cents. An 8 ounces package cost 1.59. Which package represents the lower cost per ounce
Answers
Second Package is 8 oz at 1.59 = 19.875 cents / oz
So the first package is cheaper per ounce.
Which equation represents a horizontal line? A. x=y=2 B. y=x+1 C. x=2 D. y=2
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Therefore D. y=2 is a horizontal line.