The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation could be used to show the total number of seats in the theater?
A) 52 + 32= ?
B) 4 + 32 + 58= ?
C) (58 + 32) x 4= ?
D) (58 - 32) x 4= ?
Answer:
The right option is (C) (58 + 32)×4
Step-by-step explanation:
Total number of rooms = 4
Number of seats on left = 58 seats in each room
Number of seats on right = 32 seats in each room
Total number of seats in a room = 58 + 32 seats
Total number of seats in the movie theater = Number of rooms × Number of seats in each room
Total number of seats in the movie theater = 4 × (58 + 32) = 360 seats
Hence the right option is (C) (58 + 32)×4
1. Use the function rule to complete the table. -10+y=4
2. What is the function rule for the second picture?
Please answer to both questions.
Solution:
The Given Linear Function is
-10 x + y = 4
y= 4 + 10 x
1. x= -2
y = 4 + 10* (-2)
= 4 - 20
= -16
2. x= -1
y = 4 + 10* (-1)
= 4 -10
= -6
3. x=0
y = 4 +10* (0)
=4
4. x=1
y= 4 +10 * (1)
= 4+10
=14
5. x=2
y= 4 +10*2
= 4 +20
= 24
2. Function Rule
Slope between two points or coordinates in two dimensional plane is
[tex]=\frac{4-9}{-1+2}=\frac{-1-4}{0+1}=\frac{-6+1}{1-0}=\frac{-11+6}{2-1}= - 5[/tex]
Slope between two points is same.
This will be linear function.
Equation of line will be
y - 9= -5 * (x+2)
y -9 = - 5 x - 10
y + 5 x+10 -9=0
5 x + y+1=0
Write the resultant of the 2 vectors as an ordered pair. <5, -2> and <0,0>
Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn?
*please explain how you got the answer if possible*
Final answer:
To water the entire lawn with 10 sprinklers, each running for the same amount of time, it will take a total of 125 minutes.
Explanation:
Ms. Reynold's system of sprinklers is designed to run sequentially, with each sprinkler getting an equal duration of run time. We know that the first 4 sprinklers run for a total of 50 minutes.
To find out how long one sprinkler runs, we divide the total time of 50 minutes by the number of sprinklers that have run, which is 4:
50 minutes ÷ 4 sprinklers = 12.5 minutes per sprinkler.Now that we know each sprinkler runs for 12.5 minutes, we can calculate the total time to run all 10 sprinklers by multiplying the time per sprinkler by the total number of sprinklers:
12.5 minutes per sprinkler × 10 sprinklers = 125 minutes.Therefore, it will take 125 minutes to water her entire lawn using all 10 sprinklers.
A cylinder shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water.
What is the approximate volume of water contained in the cylinder?
Use 3.14 for pi.
A. 24,165 m³
B. 31,400 m³
C. 118,365 m³
D. 125,600 m³
Answer:
CCCCCCCC
Step-by-step explanation:
Which number set has only irrational numbers?
A) {-7.4, 0, 3.14}
B) {-
5
6
,
7
8
,
π
2
}
C) {
2
,
5
, π}
D) {
8
,
9
,
10
}
Answer:
The answer is D because PI is a irrational number.
Step-by-step explanation:
Please help with the question above :)!!! ^^
Find the surface area for the given given prism
The surface area for the given given prism is 664 square inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a rectangular prism
We need to find the surface area of the rectangular prism
The formula for surface area is A=2(wl+hl+hw)
Where w is width
l is length
h is height
Plug in length=14, width=10 and height=8 in the given formula
A=2(140+112+80)
=2(332)
=664 square inches
Hence, the surface area for the given given prism is 664 square inches.
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Which property justifies the following statement? If 3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.
Answer: Addition Property of Equality
Step-by-step explanation:
Which type of function is represented by the table of values below?
x
y
1
4
2
16
3
64
4
256
5
1,024
exponential
linear
quadratic
square root
Answer:
Exponential :)
Step-by-step explanation:
in chemistry a mole is a unit of measure equal to 6.02x10^23 atoms of a substance. the mass of a single neon atom is about 3.35 X 10^-23 g. what is the mass of 2 moles of neon atoms?
What is the volume of the triangular prism to the nearest whole unit?
A. 864 ft^3
B. 432 ft^3
C. 216 ft^3
D. 492 ft^3
Answer: B
Step-by-step explanation:
The solution is Option B.
The volume of the triangular prism is given by the equation V = 432 feet³
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Let the volume of the prism be represented as V
Now , the equation will be
Let the base area of the prism be B
Let the height of the prism be h = 2 feet
Now , the length of the prism L = 18 feet
The width of the prism W = 12 feet
So , the base area B = L x W
Substituting the values in the equation , we get
The base area of the prism B = 216 feet²
So , Volume of Prism = B x h
Substituting the values in the equation , we get
Volume of Prism V = 216 x 2 feet³
Volume of Prism V = 432 feet³
Hence , the volume of prism is 432 feet³
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Simplify the expression. 8 – 3(–12x + 2)
Fred has 4 pencils (red, blue, green, and yellow), 3 notebooks (plain, lined, graph), and 9 pieces of chalk (all different colors). He always takes one pencil, one notebook, and one piece of chalk to class.
If he wanted to take a unique combination to class every day, how many days would he be able to do this before he would be forced to repeat one of the combinations?
Problem
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.
Which type of graphs might be used to show data with qualitative categories?
Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
What is a histogram?It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
As we know,
For the primary analysis, there are many alternative infographics that can be applied.
Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
The most prominent visual representations of primary analysis are pie charts and graphical representations.
Thus, bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
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You have a credit card with a balance of $1,758.64. The interest is 12.75% APR. A late payment fee of $35.00 is added to the principal if you pay after 12/20. You make a payment for $100.00 on 12/20. How much interest did you pay? A. $224.23 B. $18.69 C. $211.48 D. $17.62
In a sale, normal prices are reduced by 20%. The sale price of a shirt is £26. Calculate the normal price of the shirt
The original price of the shirt before the 20% discount was £32.50.
Explanation:In your question, you've stated that a shirt was bought at a sale price of £26, after a reduction of 20%. Therefore, the 20% reduction is equivalent to the difference between the original price and the sale price. To find the original price, we need to understand that the £26 is 80% of the original price as 100% (the original price) minus the 20% reduction equals 80%. So, we can set up the equation as follows:
0.80(x) = 26
To find the value of x (the original price), we divide both sides of the equation by 0.80
x = 26 ÷ 0.80
Therefore, the original price of the shirt was £32.50.
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I need help on numbers 1. 2. 6. And 7. Please
For every increase of one on the Richter scale, an earthquake is ten times more powerful. Which of the following models this situation? A.linear function with a negative rate of change B.linear function with a positive rate of change C.exponential decay function D.exponential growth function
A bakery supplier receives an order for 2 tons of sugar from a bakery chain. The sugar is shipped in crates. Each crate holds eight 10 pound bags of sugar. How many crates does the supplier need to ship to fulfill the order?
heeeeeeeeeelp
Name the property shown. (9 + 4) + 10 = 9 + (4 + 10)
an example of an equation that is a linear function explain why it is linear
prove the identity cos(x-y)-cos(x+y)=2sinxsiny
Answer:
see the procedure
Step-by-step explanation:
we know that
[tex]cos(X - Y) = cosX cosY + sinX sinY\\cos(X + Y) = cosX cosY - sinX sinY[/tex]
so
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-(cosX cosY - sinX sinY)[/tex]
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-cosX cosY + sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=sinX sinY+ sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=2sinX sinY[/tex] ----> is verified
there are 238 juniors at a high school. the ratio of girls to boys in the junior class 3:4. how many Juniors are girls? how many are boys?
The number of juniors in a class is 238 and the ratio of girls to boys is 3:4. We can use this information to calculate that there are 102 girls and 136 boys in the junior class.
Explanation:The question provides us with the information that there are 238 juniors in the school and the ratio of girls to boys in this class is 3:4. This means for every 7 students (3 girls and 4 boys), there are 3 girls and 4 boys.
First, let's find out how many 'sets' of 7 students there are in the total number of juniors. To do this, we divide 238 by 7, which equals 34 sets.
To find out the number of girls, we multiply these 34 sets by 3 (because the ratio tells us there are 3 girls in each set). This comes to 102 girls.
Similarly, to find out the number of boys, we multiply these 34 sets by 4 (because the ratio tells us there are 4 boys in each set). This gives us 136 boys.
Therefore, in the junior class, there are 102 girls and 136 boys.
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Any number with a non-repeating and non-terminating decimal is an irrational or rational number.
The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
Answer:
Temperature on monday = 24 .35°c.
Step-by-step explanation:
Given : The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C.
To find : What was the temperature on Monday.
Solution : We have given
Temperature on sunday = 32.6°C.
Temperature changed = -8.25°C.
Temperature on monday = 32.6°C - 8.25°c )
Temperature on monday = 24 .35°c.
Therefore, Temperature on monday = 24 .35°c.
Use the interactive to find an expression equivalent to 4x – 4 – 2x + 3.
2x – 1
6x – 1
2x – 7
–2x + 3
Answer:
2x-1 is ur answers i got it right on edge 2020
Step-by-step explanation:
The expression equivalent to the given expression is - g(x) = 2x - 1
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the equation as follows -
f(x) = 4x - 4 - 2x + 3
The given expression is -
4x - 4 - 2x + 3
4x - 2x - 4 + 3
2x - 4 + 3
2x - 1
Therefore, the expression equivalent to the given expression is -
g(x) = 2x - 1
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Titaina reads 40 pages of her book every night. Write an expression that represents the number of pages she has read
How many 4-letter code words can be made using the letters in the word pencil if : (a) Repetitions are permitted?
Final answer:
The total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.
Explanation:
To determine how many 4-letter code words can be made using the letters in the word 'pencil' with repetitions permitted, we consider that each position in the 4-letter code word can be filled by any of the 6 letters from the word 'pencil'. Therefore, for each position, there are 6 choices.
Using the fundamental counting principle, the total number of possible 4-letter code words given that repetitions are allowed is calculated as follows:
First position: 6 possibilitiesSecond position: 6 possibilitiesThird position: 6 possibilitiesFourth position: 6 possibilitiesThus, the total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.