Answer:
1. 60=12y
60=5*12 y=5
2. a) 96=16x+12y
b) the 12y would be changed to 10y so, 96=16x+10y
c) 156=16x+12y the number of tickets will change if the total price goes up
Step-by-step explanation:
x= adult tickets
y=child tickets
im not sure but i think is bAnswer:
Step-by-step explanation:
b
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Which geometric solids would model the tent?
cone and sphere
cylinder and cone
pyramid and rectangular prism
triangular prism and rectangular prism
Brothers Raymond and Eduardo are saving up money to send their parents on an anniversary vacation. They have calculated that the trip will cost at least $500. If they've already saved $270, how much more do they need to save in order to make enough for the trip?
Given:
Money they've already saved = $270
Trip will cost at least $500.
To find:
The amount they need to save more in order to make enough for the trip.
Solution:
Let they need $x more.
Money they've already saved = $270
Total money they will have = $(x+270)
Now, the trip will cost at least $500. It means, they need $500 or more than that. So, total money they will have needs to be greater than or equal to 500.
\(x+270\geq 500\)
\(x\geq 500-270\)
\(x\geq 230\)
Therefore, they need $230 or more than that to make enough for the trip.
A number is divided by 5.
Answer:
50 divided by 5 is 10
Step-by-step explanation:
Answer:
x/5
Step-by-step explanation:
in how many ways can you split 8 people into two teams of 4? how about 9 people into 3 teams of 3? what about choosing 2 teams of 4 from 10 prospects? assume that teams are indistinguishable, e.g. choosing teams {c,d,a,b} first and {h,e,f,g} second is the same as choosing teams {h,e,f,g} first and {c,d,a,b} second.
There are 70 ways to split 8 people into two teams of 4. There are 1680 ways to split 9 people into 3 teams of 3. There are 945 ways to choose 2 teams of 4 from 10 prospects.
To find the number of ways to split 8 people into two teams of 4, we can first choose the first team in $\binom{8}{4} = 70$ ways, and the second team will be the remaining 4 people.
To split 9 people into 3 teams of 3, we can first choose the first team in $\binom{9}{3} = 84$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{3} = 20$ ways. The final team will be the remaining 3 people.
To choose 2 teams of 4 from 10 prospects, we can first choose the first team in $\binom{10}{4} = 210$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{4} = 15$ ways. However, since the order in which we choose the two teams does not matter, we must divide by 2 to get the final answer of $\frac{210 \cdot 15}{2} = 945$.
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what is the set of all solutions to the equation 2 = − x 2 =−xsquare root of, x, plus, 2, end square root, equals, minus, x ?
The equation 2 = -x√(x + 2) - x has two potential solutions: x = -1 and x = -8. However, x = -8 does not satisfy the equation, so the set of all solutions is {x = -1}.
To find the set of solutions to the equation 2 = -x√(x + 2) - x, we can solve it algebraically.
Starting with the given equation, we can simplify it step by step:
2 = -x√(x + 2) - x
Adding x to both sides:
2 + x = -x√(x + 2)
Squaring both sides to eliminate the square root:
(2 + x)^2 = (-x√(x + 2))^2
Expanding and simplifying:
4 + 4x + x^2 = x^2(x + 2)
Simplifying further:
4 + 4x = x^3 + 2x^2
Rearranging terms:
x^3 + 2x^2 - 4x - 4 = 0
Factoring the equation:
(x + 1)(x^2 + x - 4) = 0
Setting each factor to zero:
x + 1 = 0 or x^2 + x - 4 = 0
Solving the first equation, we find x = -1.
For the second equation, we can use the quadratic formula:
x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1))
x = (-1 ± √(1 + 16)) / 2
x = (-1 ± √17) / 2
However, when we substitute x = (-1 + √17) / 2 into the original equation, it does not satisfy the equation. Therefore, x = -8 is not a solution.
Hence, the set of all solutions to the equation is {x = -1}.
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Projectile Motion Worsheet
Projectile motion is the motion of an object (known as a projectile) that is launched or thrown and then moves under the influence of gravity alone. In this type of motion, the object moves in a curved path called a parabola.
What is a projectile motion?Projectile motion refers to the motion of an object that is launched or thrown into the air and then moves under the influence of gravity alone.
The motion of the object can be described as a combination of horizontal motion with a constant velocity and vertical motion with a constant acceleration due to gravity.
The path of the projectile is determined by its initial velocity, the angle at which it is launched, and the acceleration due to gravity. The acceleration due to gravity is always acting vertically downwards and is constant at 9.8 m/s².
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A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.
Answer:
$30
Step-by-step explanation:
Let the price of sweatshirt be $x.
Discount percentage = 30%
Discount in dollars = 30% of $x
Discount in dollars = 30/100 of $x = $ 30x/100
Given that discount in $ is 9
thus
30x/100 = 9
x = 9*100/30 = 30
Thus, the original price is $30
The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many students are boys?
Answer:
27
Step-by-step explanation:
Let's call boys and girls 3x and x respectively. Since 3x + x = 36, x = 9. Boys = 3x = 3 * 9 = 27.
HEYA FRIEND..
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YOUR ANSWER IS 27
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HOPE IT WILL HELP YOU UP.
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HAVE A GREAT DAY
ĶÁŤÉ
If all values in a data set are the same, then the sample variance is equal to:.
Answer:
Its equal to 0
Step-by-step explanation:
Zero just incase its hard to read cause its next to the o <3
Please help me with this math question.
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
Solve the following quadratic equation:
the following quadratic equation: 2x2 - 52 + 2 = 0
Answer:
x₁ = -5, x₂ = 5Step-by-step explanation:
\(2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5\)
What are the measures of interior angle a and exterior angle b?
a=____
b=____
*20 points*
Answer:
a = 180 - 92 - 27=61
b = 92 + 27= 119
Step-by-step explanation:
Answer:
Interior Angle A = 180 - (27 +92)
= 180 - (119)
= 61 degrees
Exterior Angle B = 180 - 61
= 119 degrees
The insured value of a car is ¢10,500. Mr. Cudjo paid 8% of the insured value as premium in the first year. For the subsequent years
The answer of the given question based on the interest rate the answer is the premium paid for each subsequent year would be ¢840
What is Premium rate?A premium rate is price per unit of insurance coverage for specific risk that an insurer charges its policyholders. It is typically expressed as percentage of total insured value of policy.
To calculate the premium paid for subsequent years, we need to know what the premium rate is for those years. The premium rate may change from year to year depending on various factors such as the age of the car, the driver's record, etc.
Assuming the premium rate remains constant at 8% of the insured value for all subsequent years, we can calculate the premium paid for each year as follows:
First year: 8% of ¢10,500 = ¢840
Second year: 8% of ¢10,500 = ¢840
Third year: 8% of ¢10,500 = ¢840
And so on...
So the premium paid for each subsequent year would be ¢840 if the premium rate remains constant at 8% of the insured value.
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A water wheel has a radius measuring between 13 feet and 24 feet. The wheel is able to turn 7π9 radians from its starting position before getting stuck. Which distances could the wheel spin before it would no longer be able move?
Answer:
31.76 ft and 58.64 ft
Step-by-step explanation:
The radius measures between 13 feet and 24 feet.
The wheel is able to turn 7π/9 radians before getting stuck.
We need to find the range of distances that the wheel could spin before getting stuck. That is, the length of arc.
Length of an arc is given as:
\(L = \frac{\theta}{2\pi} * 2\pi r\)
where θ = central angle = 7π/9 radians
r = radius of the circle
Therefore, for 13 feet:
\(L = \frac{7\pi}{18 \pi} * 2 * \pi * 13\\\\L = 31.76 ft\)
For 24 feet:
\(L = \frac{7\pi}{18 \pi} * 2 * \pi * 24\\\\L = 58.64 ft\)
The wheel could spin between 31.76 ft and 58.64 ft before getting stuck.
How should the lines y = -5/4x - 5 and y = x - 10 be described?
a)parallel
b)perpendicular
c)intersecting
Answer:
The answer is: B.
Step-by-step explanation:
They are prependicular
:)
Please help! Solve this problem. You might have to zoom in or flip the picture around. PLEASE DO NOT ANSWER THIS QUESTION UNLESS YOU KNOW HOW TO SOLVE IT!
Here is the answer for the problem I believe
Mr. A sold his land to Mr.B at a profit of 10%. Mr.B. sold it to Mr.C at a gain of 5%. Mr.C.paid N1240 more for the house than Mr. A paid. What did Mr. A paid.
Answer:
Mr. A initially paid approximately N8000 for the land.
Step-by-step explanation:
Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.
Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.
Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.
Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240
Step 5: Simplifying the equation: 1.155x - x = N1240
Step 6: Solving for x: 0.155x = N1240
x = N1240 / 0.155
x ≈ N8000
Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.
What are the 3 ways we represent ratios?
Three different ways to represent the ratios is given by :
1. Using the symbol :- ' : ' example (a : b ).
2. In fraction form :- numerator / denominator.
3. In word form :- a to b .
As given in the question,
Three different ways to represent the ratio of any number is given by :
Let the two variable to represent in ratio form be 'a' and 'b'.
First way to represent ratio is using symbol ' : ' which can be expressed as a : b.Second way to represent the ratio is fraction form that is numerator / denominator using ' / ' . example a / b.Third way to represent the ratio is in word form a to b using word 'to'.Therefore, the three different way to represent the ratio of the given number is :
1. Using the symbol :- ' : ' example (a : b ).
2. In fraction form :- numerator / denominator.
3. In word form :- a to b .
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A triangle has an area of 36 square meters. What could its base and height be?
b = 12 m, h = 6 m
b = 9 m, h = 4 m
b = 9 m, h = 9 m
b = 8 m, h = 9 m
Answer: b = 9 m, h = 4 m
Step-by-step explanation:
9x4 equals 36, but all of these other answers do not equal 36. :)
Answer:
b = 9 m, h = 4 m
Step-by-step explanation:
HELP WORTH 25 POINTS
solve for the values of x and y
3x + 2y =9
y= 2x + 8
each class has a goal of selling 100 tickets (total). Garcia’s class sells 87 tickets.
Answer: 13?i really dont know
Step-by-step explanation:
Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a Frisbee. Approximately how many feet from the base of the tree is the Frisbee? Draw a picture to help you!
Answer:
About 29 feet.
Step-by-step explanation:
tan 60 = 50 / h
h = 50/ tan 60
= 28.87 ft
In the figure below, lines that appear to be parallel are parallel. Solve for a, b, and c.
Answer:
a = 55
b = 13
c = 8
Step-by-step explanation:
2a - 5 = 105° (alternate exterior angles are congruent)
Add 5 to both sides
2a - 5 + 5 = 105 + 5
2a = 110
Divide both sides by 2
2a/2 = 110/2
a = 55
(2a - 5) + (5b + 10) = 180° (consecutive interior angles/same side interior are supplementary)
Plug in the value of a
2(55) - 5 + 5b + 10 = 180
110 - 5 + 5b + 10 = 180
Add like terms
115 + 5b = 180
Subtract 115 from each side
115 + 5b - 115 = 180 - 115
5b = 65
Divide both sides by
5b/5 = 65/5
b = 13
10c - 5 = 5b + 10 (corresponding angles are congruent)
Plug in the value of b
10c - 5 = 5(13) + 10
10c - 5 = 65 + 10
10c - 5 = 75
Add 5 to both sides
10c - 5 + 5 = 75 + 5
10c = 80
Divide both sides by 10
10c/10 = 80/10
c = 8
A circle is centered at the vertex of Angle A. Angle A subtends an arc that is 4.4 cm long along the circle, and 1/360th of the circumference of the circle is 0.02 cm. What is the measure of Angle A in degrees
The measure of Angle A in degrees is approximately 219.99 degrees
To find the measure of Angle A in degrees, we need to consider the given information: the circle is centered at the vertex of Angle A, the subtended arc is 4.4 cm long, and \(\frac{1}{360}\)th of the circle's circumference is 0.02 cm.
Step 1: Calculate the circumference of the circle.
Since 1/360th of the circumference is 0.02 cm, we can find the entire circumference by multiplying 0.02 cm by 360.
Circumference = 0.02 cm (360) = 7.2 cm
Step 2: Determine the proportion of the circumference that corresponds to the subtended arc.
Divide the length of the arc (4.4 cm) by the circumference (7.2 cm).
\(Proportion = \frac{4.4}{7.2} = 0.6111\)
Step 3: Calculate the measure of Angle A in degrees.
Since the proportion corresponds to the fraction of the circle's circumference, we can find the angle by multiplying this proportion by 360 degrees.
Angle A = 0.6111 (360 degrees) =219.99 degrees
The measure of Angle A in degrees is approximately 219.99 degrees.
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find the missing value and please show how
Answer:
I'm sorry, but I don't know how to figure it out, but you can use a protractor to find it if you have one, just put it on your computer screen and you can find the angle. I hope this helps, sorry I don't know how to do it.
Step-by-step explanation:
Laura is a single taxpayer, she has $35,000 in ordinary taxable income and $5,000 in capital gains on an investment she held for 2 years. use the tables to complete the statement
Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.
What is a tax bracket?Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.
The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on
whether or not they are singleIf married, whether they are filing jointly; andhow much their annual income is subject to deductibles.It is to be noted that a general answer was provided here due to insufficient details in the question.
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find the Probability of pulling a green marble from a bag with six green and eight blue marbles.
Answer:
6/14 or in its simplest form 3/7
List in order from least to greatest: 0, |-4|, |12|, -7, 2
The answer is A bro, easy
Answer:
-7, 0, 2, |-4|, |12|
Step-by-step explanation:
absolute value (| |) means that the sign of the number is always positive
5 + 8n = 7(-7 + 4n) -6
Answer:
n = 3
Step-by-step explanation:
Given
5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side
5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )
5 - 20n = - 55 ( subtract 5 from both sides )
- 20n = - 60 ( divide both sides by - 20 )
n = \(\frac{-60}{-20}\) = 3
Which one is the right answer?
Answer:
Reflected over the x-axis and rotated 180 degrees
Answer:
The answer is B
Step-by-step explanation: