there were 170 people at the concert. If 85% of the seats were filled how many seats are in the auditorium
In order to compute for the number of seats available in the auditorium, you just have to divide the number of people at the concert with the percentage of its utilized capacity.
Solution:
170 people / 85% = 200 seats available in the auditorium
To check the answer:
200 seats x 85% = 170 people are in the concert
The Running Shoe Company advertised that tbe would award a number of prizes equal to 1% of the total number of entries in a contest .They received 1,600 entries .How many prizes should they award?
The Running Shoe Company should award 16 prizes, as 1% of 1,600 entries is 16.
The student asked, "How many prizes should The Running Shoe Company award if they received 1,600 entries in a contest and they award a number of prizes equal to 1% of the total number of entries?"
To find the number of prizes, we need to calculate 1% of 1,600 entries.
Step 1: Convert the percentage to a decimal by dividing by 100. So, 1% becomes 0.01.
Step 2: Multiply the total number of entries by 0.01 to find 1% of it.
1,600 entries * 0.01 = 16 prizes
Therefore, The Running Shoe Company should award 16 prizes.
What's 2x+3y=6 and x-3y=9?
What is the solution of the equation y=5x+50
12t-2<-5t+36 solve for t
Answer:
t<38/17
t < 2 4 /17
Step-by-step explanation:
Add 5t to each side
12t+5t-2<-5t+5t+36
17t-2<+36
Add 2 to each side
17t-2+2<+36+2
17t <38
Divide by 17
17t/17 <38/17
t<38/17
t < 2 4 /17
Could u help me with 8 and 10
Megan buys 3 bracelets and 3 necklaces each bracelet cost in dollars of one necklace?
Find the measure of the missing angle. 122,79,90,Z
The measure of missing angle can be obtained as 69°.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
A quadrilateral can be drawn for the given case as below,
Suppose the angles A, B, C and D are 122, 79, 90 and Z.
Since the sum of the angles of a quadrilateral is 360°.
The following equation can be be written as,
122 + 79 + 90 + Z = 360
⇒ Z = 360 - 291
⇒ Z = 69
Hence, the missing angle is given as 69°.
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A spinner that has 4 equal parts that are the colors blue, green, red, and yellow. The spinner is spun 12 times. It lands on blue 1 time.
Part A) What is the experimental probability of the spinner landing on blue?
Part B) Compare the experimental and theoretical probabilities of the spinner landing on blue. If the probabilities are not close, explain a possible reason for the discrepancy.
Answer:
The experimental probability would be 1/12 and the theoretical probability would be 1/4. The probabilities were not close so a possible reason for the discrepancy would be the blue color on the spinner was slippery.
Step-by-step explanation:
So to start out you need to find out the experimental probability. If the spinner landed on blue 1 time out of 12 different times, you write that as a fraction of 1/12. So 1/12 is the experimental probability. It also asks for the theoretical probability. There are 4 parts of the spinner so 4 is the denominator, one of those possibilities is the one we want so 1 is the numerator, so the theoretical is 1/4. The probabilities were not close so a possible reason for the discrepancy would be the blue color on the spinner was slippery.
Just to tell you what theoretical and experimental probabilities mean is that the theoretical is the possible outcome before you do it. Experimental is where you judge your probability off of past events.
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The same brand of jelly beans comes in 2 sizes a 10 ounce bag for $1.99 and an 18 ounce bag for $2.99. Which size is the Better buy per ounce
After calculating the price per ounce for both size bags of jelly beans, the 18-ounce bag at $0.166 per ounce is a better buy per ounce compared to the 10-ounce bag at $0.199 per ounce.
To determine which size of jelly beans is the better buy per ounce, we need to calculate the price per ounce for each bag. Then, we can compare the two to see which one provides a lower cost per ounce, indicating the better value.
Calculate the price per ounce for the 10-ounce bag: $1.99 / 10 ounces = $0.199 per ounce.
Calculate the price per ounce for the 18-ounce bag: $2.99 / 18 ounces = $0.166 per ounce.
Compare the two price per ounce figures: $0.199 per ounce for the 10-ounce bag versus $0.166 per ounce for the 18-ounce bag.
The 18-ounce bag has a lower cost per ounce than the 10-ounce bag, so the 18-ounce bag is the better buy per ounce.
A probability near ____ indicates an event that is neither unlikely nor likely.
Answer:
its actually 1/2
find the value of this pronumeral
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A=
The measurement of angle A in the given cyclic quadrilaterals, is 135°
What is a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also sometimes called inscribed quadrilateral.
Given that, a quadrilateral ABCD is inscribed in a circle, so this type of quadrilaterals are called cyclic quadrilaterals, m ∠ A = 3x+6 and m ∠ C = x+2
We need to find, m ∠ A,
We know that in cyclic quadrilaterals, the opposite angles are supplementary,
Therefore,
m ∠ A + m ∠ C = 180°
3x+6+x+2 = 180°
4x+8 = 180°
4x = 172°
x = 43°
Therefore,
m ∠ A = 3x+6
m ∠ A = 3(43)+6
m ∠ A = 135°
Hence, the measurement of angle A in the given cyclic quadrilaterals, is 135°
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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18π meters. What is the area of the cross section?
To determine whether the inverse of a function is a function, you can perform the vertical line test. A. True B. False
A formula is expressed as d=a(2+kt). Express k in terms of d, a and t
The line plots show the number of hours two groups of kids spent studying last weekend.
How does the data compare for the two groups of kids?
The 10- to 13-year olds spent an average of 6 hours studying last weekend.
The range for the hours spent studying last weekend for the 10- to 13-year olds is the same as the range for the hours spent studying last weekend for the 14- to 17-year olds.
The median value for the hours spent studying last weekend for the 10- to 13-year olds is greater than the median value for the hours spent studying last weekend for the 14- to 17-year olds.
The 14- to 17-year olds spent more hours studying, on average, last weekend than the 10- to 13-year olds.
We can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).
What is Range, Median, and Average of a Data Distribution:Range = max - minMedian = middle valueAverage = total sum of values/number of values.Range for hours spent studying for 10 - 13 year olds = 8 - 1 = 7
Range for hours spent studying for 14 - 17 year olds = 10 - 4 = 6
Median for hours spent studying for 10 - 13 year olds = 4
Median for hours spent studying for 14 - 17 year olds = 7
Average for hours spent studying for 10 - 13 year olds = (1+1+2+4+4+4+4+6+6+7+8)/11 = 4.3
Average for hours spent studying for 14 - 17 year olds = (4+4+4+4+6+7+8+9+9+10+10)/11 = 6.8
Therefore, we can conclude that: the 14- to 17-year olds spent more hours (6.8 hours) studying, on average, last weekend than the 10- to 13-year olds (4.3 hours).
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The diameter was of four half circles are sides of a square with a side length of 7 cm.
Find the exact area of the shaded region in terms of pi. (Please show work)
Answer:
shaded area = 24.5π -49
Step-by-step explanation:
The area of a segment of a circle is given by the formula ...
A = 1/2r²(θ -sin(θ))
Here, the radius of the circle is (7 cm)/2 = 3.5 cm, and the angle of interest is π/2 radians.
There are 8 segments of this size in the shaded area, so we have ...
shaded area = 8(1/2)(3.5 cm)²(π/2 -sin(π/2))
shaded area = 24.5π -49
Edgar has birdbath that holds 2 gallons of water.He only wants fill it 3/4 full How many 1 pint containers does it take to fill birdbath? EXPLAIN
It takes 12 for 1 pint containers to fill the birdbath.
Edgar has birdbath that holds 2 gallons of water.
What is the relation between pints and quart?There are 2 pints in 1 quart.
Similarly there are 4 quarts in a gallon.
So, there are 8 pints in a gallon.
2 x 8 =16.
So there are 16 pints in total.
3/4 of 16 is
[tex]\frac{3}{4} *\frac{16}{1}\ =12[/tex]
Therefore,It takes 12 for 1 pint containers to fill the birdbath.
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what is the sum of 5/10 and 5/100
human reproduction usually involves?
Human reproduction involves fertilization, gestation, birth, and parental care.
Explanation:Human reproduction involves the process of sexual reproduction, where a male and female contribute genetic material to produce offspring. This process includes several steps:
Fertilization: The fusion of an egg and a sperm to form a zygote.Gestation: The development of the embryo inside the female's womb.Birth: The delivery of the baby.Parental care: Taking care of the newborn to ensure its survival and growth.These steps are essential for the continuation of the human species.
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What are the zeros of the quadratic function f(x)=8x^2-16x-15
Answer:
x=2.69,−0.69
exact :
4±√46/4
graph the quadratic function f(x)=−1/2x^2+7.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
GRAPH FOR BRAINLIEST
Answer:y=(0,7) x=(2,5)
Step-by-step explanation:
smart
State the geometric sequence both recursive and explicit formulas.
Answer:
recursive formula = [tex]a_{n} = a_{n-1}* r[/tex]
explicit formula: [tex]a_{n} = a_{1}*r^{n-1}[/tex]
Step-by-step explanation:
Thinking process:
Let a sequence be given as:
3 9 27 81
As can be observed from the sequence, the next number of the sequence is a multiple of 3, that is 9 is a multiple of 3. Similarly, 27 is 9 multiplied by 3
then, let the first term be a. the common multiplying factor will be r (in this case 3). Then the formula will be [tex]a_{n} = a_{n-1}*r[/tex]
In addition, the powers rule applies.
For instance:
9 = [tex]3^{2}[/tex]
27 = [tex]3^{3}[/tex]
81 = [tex]3^{4}[/tex]
Then the explicit formula will be [tex]a_{n} = a_{1}*r^{n-1}[/tex]
Rubin is 5 years older than one third Terry’s age. Sheldon is three years younger than 2 times Rubin’s age. Define a variable and write an expression to represent Rubin’s age. Then find Rubin age and Sheldon age if Terry is 6 years old.
You sell lemonade for $2 per cup and orange juice for $3 per cup. You sell a total of 100 cups for $ 240. How many cups of lemonade and orange juice were sold ?
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem.
Brittany is painting a mural on one of the walls in her room. The mural is in a parallelogram-shaped frame. The area of the mural is 1056 in² and the base is 32 inches.
What is the height of the mural?
Enter your answer in the box.
[___] in
The area of the mural is 1056 in² and the base is 32 inches. We have to determine the height of the mural.
Area of parallelogram = [tex] b \times h [/tex]
where 'b' is the base and 'h' is the height.
1056 [tex] in^{2} [/tex] = 32 [tex] \times h [/tex]
[tex] h=\frac{1056}{32} [/tex] in
Therefore, the height of the mural is 33 inch.
Henry used benchmark fraction to compare the lenghts of grasshoppers 5/8 and 7/4. Which grasshopper is longer? Explain.
Round 2,406,251 to the nearest thousand.
A. 2,000,000
B. 2,406,000
C. 2,406,300
D. 2,407,000