there are 150 students in the marching band, and 30 of them play the trumpet. Which number line represents the percent of the srudents in the marching band who play the trumpet?
Answers
Answer:
30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet.
Step-by-step explanation:
Draw two number lines:
One number line to represent number of students from 0 to 150. For convenience, divide the number line into intervals of 15 so that 30 is also present on the line.Second number line to represent percentage and divide it in intervals from 1 to 100.Now, place the other number line just below the other number line and draw a vertical line as shown the attached figure.
We find out that 30 is at 20% of 150.
It means that 20% (30 of total 150) of total 150 students in the marching band, play trumpet.
30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet. Step-by-step explanation:
Related Questions
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.
Answers
By calculating angles and side lengths using trigonometric ratios and the Pythagorean theorem, we determined that the height of the silo (length CE) is approximately 18 feet.
Calculate angle ACD using the tangent trigonometry ratio:
Given AD = 8 feet and DP = 5 feet, we find C using tan(C) = AD/DP, which gives C = arctan(8/5) = 32 degrees.
Calculate angle BCA:
BCA = 90 - 32 = 58 degrees.
Calculate side length AC using the Pythagorean theorem:
Given AB = 5 feet and BC = 8 feet, AC^2 = AB^2 + BC^2, so AC = sqrt(89) = 9.4 feet.
Calculate the height of the silo (length CE) using the cosine ratio:
With AC = 9.4 feet and BCA = 58 degrees, cos(58) = BC/AC = CE/9.4. Solving for CE, we get approximately 17.7 feet.
Therefore, the height of the silo is approximately 18 feet.
Solve the equation for y: -8x + 4y = 20
21 Points
Answers
Answer:
y = 5 + 2x
Step-by-step explanation:
[tex]-8x+4y=20\\ 4y=20+8x\\ y=5+2x[/tex]
Add 8x on both sides
Divide by 4 on both sides
Simplify
help me plz thank you :D
Answers
Answer:
Step-by-step explanation:
[tex]-10 + (-\frac{3}{4})=-10-\frac{3}{4}\\\\[/tex]
[tex]=\frac{-10*4}{1*4}-\frac{3}{4}\\\\=\frac{-40}{4}-\frac{3}{4}\\\\=\frac{-40-3}{4}\\\\=\frac{-43}{4}\\\\=-10\frac{3}{4}[/tex]
You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounded monthly.
The balance after 2 years is $.
Answers
Answer:
=$23,350.802
Step-by-step explanation:
Compound Interest (A)=P(1+r/n)^nt
Where,
P=principal=$20,000
r=Interest rate=7.77%=7.77/100
=0.0777
n=number of periods=12 month in a year
t=time=2 years
(A)=P(1+r/n)^nt
=$20,000(1+0.0777/12)^12×2
=$20,000(1+0.006475)^24
=$20,000(1.006475)^24
=$20,000(1.1675401)
=$23,350.802
. A coin is flipped 100 times and it lands on HEADS 61 times and TAILS 39 times. Find the experimental probability that the coin lands on TAILS. Express all probability as fractions in simplest terms.
Answers
Answer:
39%
Step-by-step explanation:
100% = 61% + 39%
Answer:
39/100
Step-by-step explanation:
if the coin lands on tails 39 out of 100 times the probability would be 39 out of 100 and 39 is odd so it cannot go into 100 cause it's even
can you help please on this question i am stuck
Answers
The scatter plot below shows the points scored and the points allowed by the bulldogs football teamwork several games . Which association (corrrlation) best describes the data?
Answers
Answer: I think it is positive association
Step-by-step explanation:
I am not that sure
Consider this right triangle with given measures. A right triangle has a side length of 5 feet and hypotenuse of StartRoot 61 EndRoot feet. What is the length of the missing leg? 6 ft 7 ft StartRoot 51 EndRootft StartRoot 86 EndRootft
Answers
Answer:
6ft
Step-by-step explanation:
correct on Edge 2020 :-)
6 feet is the length of the missing leg of the right angles triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
A right triangle has a side length of 5 feet and hypotenuse of √61
We need to find the missing length which is x.
By pythagoras theorem we can find this.
√61²=5²+x²
61=25+x²
Substitute 25 from both sides
61-25=x²
36=x²
x=6
6 feet is the length of the missing leg
Hence, 6 feet is the length of the missing leg of the right angles triangle.
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Convert
4pie/3
to degrees.
Answers
PLS MARK BRAINLIEST
The equation of a circle is given below.
(x +1.6)2 + (y +9.8)2 = 26
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
Answers
radius = √26 = 5.099 = 5.1
As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.
Comparing the given equation
=> (x + 1.6)² + (y + 9.8)² = 26
with the standard form, we find that h = -1.6 and k = -9.8.
These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.
To find the radius, we need to take the square root of the constant term on the right side of the equation.
R² = 26
r = √26 ≈ 5.10 (rounded to two decimal places)
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FOR EASY BRAINLIEST BRAINLIEST!! Do it With a drawn picture!
Answers
Answer:
Step-by-step explanation:
Joanna went to school supply shopping. She spent $31.80 on notebooks and pencils. Notebooks cost $2.05 each and pencils cost $1.50 each. She bought a total of 19 notebooks and pencils. How many of each did she buy?
A.
11 notebooks; 8 pencils
B.
9 notebooks; 10 pencils
C.
6 notebooks; 13 pencils
D.
4 notebooks; 15 pencils
Answers
Answer:
C
Step-by-step explanation:
Total number of notebooks and pencils= 19
Assuming that she bought notebooks only,
amount spent
= 19($2.05)
= $38.95
Difference in actual amount spent
= $38.95 -$31.80
= $7.15
This difference in amount is due to the number of wrong assumptions we have made previously, such that we assumed that a certain number of pencils that she bought was notebooks. Thus, let's find the number of wrong assumptions so we can find out how many pencils she bought.
Cost difference of each notebook compared to a pencil
= $2.05 -$1.50
= $0.55
This means that for each wrong assumption, there is an additional $0.55 in the total amount Joanna spent.
Number of sets of extra $0.55
= $7.15 ÷$0.55
= 13
Thus, she bought 13 pencils.
Amount of notebooks bought
= 19 -13
= 6
Let's check our work!
If Joanna bought 13 pencils and 6 notebooks,
total amount spent
= 13($1.50) +6($2.05)
= $19.50 +$12.30
= $31.80
Thus option C is indeed correct as it is given from the question that she spent $31.80.
Answer:
correct answer is c
Step-by-step explanation:
Evaluate p+(-q)-2 where p = 3 and Q =5
Answers
Answer:
3+(-5)-2
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
Which equation represents a circle that contains the point (-5. -3) and has a center at (-2, 1)?
Distance formula: (x2-x1)^2 + (y2-y1)^2
A. (x - 1)2 + (x + 2)2 = 25
B. (x + 2)2 + (-1)2 = 5
C. (x + 2)2 + (x - 1)2 = 25
D. (x - 1)2 + (y + 2)2 = 5
Answers
y = 9x - 12. What is the slope of the equation?
Answers
Answer:
Step-by-step explanation:
the correct answer is the last option on the bottom
Answer:
Slope: 9 y-intercept (0,-12)
Step-by-step explanation:
y=mx+b
m is always the slope
b is always the y-intercept
y=9x-12
you can see 9 is m and -12 is b
Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
What is the probability that pˆD−pˆE is greater than 0.1917?
Answers
Answer:
Step-by-step explanation:
The probability is obtained by calculating the z score,
(pˆD−pˆE) - (PD - PE)
0.0914
10.1917-0.1
0.0914 = 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1-0.8420 = 0.1580
If ∠D is a supplementary angle of ∠E and ∠F is a supplementary angle of ∠E, then which of the following statements is true?
Question 5 options:
A)
∠D ≅ ∠F
B)
∠D + ∠E ≅ ∠F
C)
∠E ≅ ∠F
D)
∠D ≅ ∠E
Answers
Answer:
A) ∠D ≅ ∠F
Step-by-step explanation:
Supplementary angles : A pair of angles whose sum is 180° are called supplementary angles
We are given that ∠D is a supplementary angle of ∠E
So,[tex]\angle D+\angle E = 180^{\circ} -----1[/tex]
We are also given that ∠F is a supplementary angle of ∠E
So,[tex]\angle F+\angle E = 180^{\circ} ------2[/tex]
Find the value of ∠E form 1 and 2
From 1 : [tex]\angle E = 180^{\circ}-\angle D[/tex]
From 2 : [tex]\angle E = 180^{\circ}-\angle F[/tex]
So, [tex]180^{\circ}-\angle D=180^{\circ}-\angle F[/tex]
[tex]\angle D=\angle F[/tex]
So, Option A is true
Hence ∠D ≅ ∠F
Answer:
A) ∠D ≅ ∠F
Step-by-step explanation:
What objects in your everyday lives are in the shape of a triangular prism?
Answers
Answer:
wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper
Step-by-step explanation:
Answer:
wedge of cheese, slice of watermelon, slice of cake, roof of a house, door-stopper
71 out of 84 chairs are blue. What percentage of the chairs are blue?
Answers
Answer:
84.5 percent
Step-by-step explanation:
Which of these values would you most likely see on a U.S. speed limit sign?
A. 150 miles / day
B. 45 miles/hour
C. .08 miles / second
D. 25 feet / second
SUBMIT
h
Answers
Answer:
Hi there! The answer is B: 45 Miles/Hour (or mph)
Step-by-step explanation:
When looking at speed signs in the U.S. they always use miles per hour, or MPH. Making it so the other options are incorrect!
Hope this helps!! :)
The most common unit on a U.S. speed limit sign is B. 45 miles/hour. Speed limits are displayed in miles per hour, not in units like miles per day, miles per second, or feet per second.
The value you would most likely see on a U.S. speed limit sign is B. 45 miles/hour. In the U.S., speed limits are almost always shown in miles per hour (mi/h). Therefore, options like 150 miles/day, .08 miles/second, or 25 feet/second are not standard measurements for speed limits on road signs.
To address the conversion exercises, converting 80 km/h to metric units of meters per second (m/s), you use the conversion factor 1 km/h = (1/3.6) m/s. So, 80 km/h equals approximately 22.2 m/s. The conversion to imperial units of miles per hour requires knowing that 1 km is roughly 0.621 miles, making 80 km/h about 49.7 mi/h.
Similarly, 100 km/h equals about 27.8 m/s (not an option here), and in miles per hour, it's approximately 62 mi/h. When converting from metric to imperial or vice versa, it's useful to remember that 1 m/s equals 3.6 km/h and roughly 2.2 mi/h.
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22, 22}
O 0
O 15
O 16
O 22
Answers
Answer:
15..
Step-by-step explanation:
4, 10, 14, 18, 22, 22
Mean = (4 + 10 + 14 + 18 + 22 + 22)/6
= 90/6
= 15.
Number to be added, 'y'
For the mean to be the same
(90 + y) / 7 = 15
90 + y = 15 × 7
90 + y = 105
y = 105 - 90
= 15
What is the meaning of diviation ?
Answers
Answer:
In mathematics and statistics, deviation is a measure of difference between the observed value of a variable and some other value, often that variable's mean.
To calculate the standard deviation of those numbers:
Work out the Mean (the simple average of the numbers)
Then for each number: subtract the Mean and square the result.
Then work out the mean of those squared differences.
Take the square root of that and we are done!
Answer:
the action of departing from an established course
Step-by-step explanation: Your Welcome Stay Safe
Joe counts 48 animals with 134 legs among the pigs and chickens on his far. All the pigs have 4 legs and all the chicken have 2 legs.How many pigs and chicken does he have?
Answers
Answer:
19 Pigs
29 Chickens
Step-by-step explanation:
19 pigs with 4 legs each =
19 x 4 = 76 legs
+
29 chickens with 2 legs each =
29 x 2 = 58 legs
-----------------------------------------------
48 animals total 134 legs total
Joseph measured his height and found out that he was 5.9 feet tall. There are about 0.304 meters in 1 foot. About how many
meters tall is Joseph?
Answers
The height of Joseph in meters is 1.79 m.
What is Height?
Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it. Height refers to something measured vertically whether high or low.
Here, Height of Joseph = 5.9 ft.
1 feet = 0.304 m
5.9 ft = 0.304 X 5.9 m.
5.9 ft = 1.79 m.
Thus, the height of Joseph in meters is 1.79 m.
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Multiply and simplify:
(x + 3)2
A) x2 + 6
B) x2 + 9
C) x2 + 6x + 9
D) x2 + 9x + 6
Answers
Answer:
[tex] {x}^{2} + 6x + 9[/tex]
Answer C is correct.Step-by-step explanation:
[tex](x + 3) ^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9[/tex]
The expression [tex](x+3)^2[/tex] on multiplication and simplification becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, expression can be solved by following some basic steps as follows:
Firstly, solve the brackets.
Then perform multiplication and addition.
[tex](x+3)^2=(x+3)(x+3)=x\times (x+3)+ 3\times (x+3)\\(x+3)2=x^2+3x+3x+9\\(x+3)^2=x^2+6x+9[/tex]
So, on multiplication and simplification (x+3)2 becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
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Please help! Basic math.
Answers
Answer:
A' = 2,-2
B' = 2,-4
C' = 5,-4
Step-by-step explanation:
Lexi earns $7 for each pillow she sews. Which table represents this proportional
relationship?
Pillows
5
7
9
Earnings ($)
35
49
63
Pillows
6
8
10
Earnings ($)
42
59
63
O Pillows
4
6
8
Earnings ($)
28
42 54
3
6
Pillows
9
10
Earnings ($)
13
16
Answers
Answer:
I got the fourth one
Step-by-step explanation:
if she earns 7 dollars for every sew you multiply each one to get the correct answer and see the sum of the money. because 7 times 35 and 7x7 is 49
For every $4 Gillian makes, her friend Lucas makes $5.
Lucas makes $54,000 each year. How much does Gillian
make in a year?
Answers
Answer:
67500
Step-by-step explanation:
4-----54000
5-----x
4x=54000*5
x=67500
Answer:
43,200
Step-by-step explanation:
4/5=x/54000
What is the diameter of the following?
(x - 9)2 + (– 4)2 = 36
(by the way the 2’s are actually squared but it won’t let me put that on this app:( )
Answers
Answer:
12
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 9)² + (y - 4)² = 36 ← is in standard form
with r² = 36 ⇒ r = [tex]\sqrt{36}[/tex] = 6
diameter = 2 × r = 2 × 6 = 12
HELP ME ASAP!
What is the volume of the right rectangular prism, in cubic inches?
Area of base = 4 sq.in.
cubic inches
Answers
Answer:
V = 48 [tex]inches^{3}[/tex]
Step-by-step explanation:
Volume of a rectangular prism = Area of base * height
Substitute in our values and solve for Volume
V = 4 * 12
V = 48 [tex]inches^{3}[/tex]
Answer:
48 Sq.In
Step-by-step explanation:
Did quiz edge and got righ lol