Answer:
Step-by-step explanation:
Given that
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total Girls = 2996
7. Total number of candidates = Total boys + Total girls
=(2451 + 2996) = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]
So, option A is not correct.
Percentage of girls who play video games:
[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]
so option B is correct. The percentage is near about 45%,
Percentage of Total number of students, who do not play video games:
[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]
So, option C is not correct.
A rectangle has sides of 4 and 6 units. Which expression could you use to find the volume (in
cubic units) of the three-dimensional object formed by continuously rotating the rectangle about
the shorter side?
Answer:
144π
Step-by-step explanation:
If the rectangle below is continuously rotated about side, the solid figure formed is a cylinder.
A rectangle with sides of 4 and 6 unit continuously rotated about the shorter side gives a cylinder with a radius (r) of 6 units and a height (h) of 4 units. The volume of a cylinder is given by:
Volume = πr²h
Volume = π × 6² × 4 = 144π
The volume of the cylinder formed is 144π
Solve for r.
–16r + 15 + 17 = 7(–3r + 16) − 5r
r =
Answer:
r = 8
Step-by-step explanation:
→Distribute the 7 to (-3r + 16):
-16r + 15 + 17 = 7(-3r + 16) - 5r
-16r + 15 + 17 = -21r + 112 - 5r
→Add like terms:
-16r + 32 = -26r + 112
→Add 26r to both sides:
10r + 32 = 112
→Subtract 32 from both sides:
10r = 80
→Divide both sides by 10:
r = 8
Answer:
Step-by-step explanation:
-16r +15+17= 7(-3r+16)-5r
-16r+32 = -21r +112-5r
-16r +26r=112-32
10r =80
r=80/10
r=8
mark me as the brainliest and hope it helps you..
a car travels at 54 km/h for first 20seconds , 36km/h for next 30seconds and finally 18km/h for next 10 seconds find the averade velocity
Answer:
39 km/h
Step-by-step explanation:
Velocity is the rate of change of distance in a given direction with time. Mathematically,
Velocity = Displacement/time
Like speed, velocity is measured in Km/h or m/s.
Given that the car travels at 54 km/h for first 20seconds,
since 60 seconds = 1 minute and
60 minutes = 1 h,
20 seconds
= 20/(60 ×60) h
= 1/180 h
In the same vein,
30 seconds
= 30 / (60 ×60) h
= 1/120 h
10 seconds
= 10/(60 ×60) h
= 1/360 h
Hence if the car travels 54 km/h for 10 seconds, the distance covered
= 54 × 1/180
= 3/10 Km
If the car travels 36km/h for next 30seconds, the distance covered
= 36 × 1/120
= 3/10 Km
If the car travels 18km/h for next 10 seconds, the distance covered
= 18 × 1/360
= 1/20 km
Total distance = 3/10 Km + 3/10 Km + 1/20 Km
= 13/20 Km
Total time spent = 20 + 30 + 10
= 60 seconds
= 1/60 h
Average velocity = 13/20 km/ 1/60 h
= 39 Km/h
R 0,-180
is the same rotation as
R
90, 180
R 0,180
OR-90,180
R 0,90
90,180 is the same as R so it is
In Mathematics is 5n a monomial?
Answer:
yes
Step-by-step explanation:
because monomials can be numbers variables and numbers together with variables
Answer:
5n should be a monomial i think
Step-by-step explanation:
Approximately how many times as large were Ronald Christian's 2014 20142014 earnings as Forest Thorton's? Athlete 2014 20142014 earnings (in dollars) Ronald Christian 92 , 000 , 000 92,000,00092, comma, 000, comma, 000 James Leon 20 , 300 , 000 20,300,00020, comma, 300, comma, 000 Mason Payton 15 , 700 , 000 15,700,00015, comma, 700, comma, 000 Ryan Nader 14 , 800 , 000 14,800,00014, comma, 800, comma, 000 Forest Thorton 30 , 000
Answer:3*10^3
Step-by-step explanation:
Evalúa 13-0{,}75w+8x13−0,75w+8x13, minus, 0, comma, 75, w, plus, 8, x cuando w=12w=12w, equals, 12 y x=\dfrac12x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction.
Answer:
[tex]13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8[/tex]
Therefore, the result after evaluating the expression is: 8Step-by-step explanation:
Evaluate 13-0.75w+8x13−0.75w+8x13, minus, 0, point, 75, w, plus, 8, x when w=12w=12w, equals, 12 and x=\dfrac12x= 2 1 x, equals, start fraction, 1, divided by, 2, end fraction.
For this case we have the following expression:
[tex]13-0.75w + 8x[/tex]
Evaluate for the following values:
w = 12
x = 1/2
We Substituting the values we have:
[tex]13- 0.75 * (12) + 8 * (\frac{1}{2} ) = 13-9+4\\\\13-5=8[/tex]
Therefore, the result after evaluating the expression is: 8Question attached pls answer
Answer:
A=4686 M2
Step-by-step explanation:
A=H[B+A]/2
A=102+140
A=66 X 142 / 2
A=33 X 142
A=4686 M2
Subtract.
Your answer should be a polynomial in standard form.
(5p^3 - p) – (7p^2 + 4p - 3)
Answer:
5p³ - 7p² -5p + 3
Step-by-step explanation:
Combine like terms
5p³ - 7p² -5p + 3
Answer:
5p^3-7p^2-5p+3
Step-by-step explanation:
(5p^3 - p) – (7p^2 + 4p - 3)
Distribute the minus sign
(5p^3 - p) – 7p^2 - 4p + 3
Combine like terms
5p^3-7p^2-5p+3
Which expression is equivalent to 64 – 9x^2?
A(32)^2 – (3x)^2
B(32)^2 + (-3x)2
C(8)^2 – (3x)^2
D(8)^2 + (-3x)^2
Answer:
Option C is correct
Step-by-step explanation:
A = 64 - 9x^2
= 8^2 - (3^2)(x^2)
= 8^2 - (3x)^2
Hope this helps!
Solve each equation. 1. 5/2 × X=1 2. X × 7/3=1 3. 1 ÷ 11/2=X
Answer:
1: x = 2/5
2: x = 3/7
3: x = 1/22
The school bought 130.5 pounds
of peanuts to sell at the carnival.
There were 0.375 pounds left over.
How many pounds of peanuts were sold?
Answer:
130.125
Step-by-step explanation:
A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form.
Answer:
y-32=3(x-5)
Step-by-step explanation:
The swimming pool is being drained at a constant rate of 3 inches per hour, therefore:
The rate of change, Slope, m=3 inches per hourIf the depth of the water after 5 hours is 32 inches.
The depth is the dependent variable(as its values varies with time) while the time is the independent variable, we can write this as a pair (x,y)=(5, 32).
The point slope form of the equation of a line is of the form: [tex]y-y_1=m(x-x_1)\\(x_1,y_1)=(5,32), m=3\\$Substituting these values, we obtain:\\y-32=3(x-5)\\This is the equation of the function in point slope form.[/tex]
Evaluate. Show all work
51-(21-5)x2
Answer:
19
Step-by-step explanation:
51-(16)x2
16x2=32
51-32=19
Step-by-step explanation:
B bracket
O of
D division
M multiplication
A addition
S subtraction
therefore 51-32 is equal to 49
Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)
Answer:
The ordered pair generated from the equation is (1, 6).
Step-by-step explanation:
An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (x, y) = (1, 2) here x = 1 and y = 2.
The equation provided is:
[tex]y=2x+4[/tex]
Check for all the options:
A (1, 6): [tex]y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6[/tex] B (1, 2): [tex]y=2x+4\Rightarrow\ 2=(2\times 1) +4\Rightarrow\ 2\neq 6[/tex] C (3, 6): [tex]y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10[/tex] D (8, 16): [tex]y=2x+4\Rightarrow\ 16=(2\times 8) +4\Rightarrow\ 16\neq20[/tex]Thus, the ordered pair generated from the equation is (1, 6).
Answer:
(1,6)
Step-by-step explanation:
The table represents a function,
X F(x)
-6 3
-2 1
0 4
3 -2
what is f(-2)?
A) -3
B)-1
C)1
D)3
Answer:
c
Step-by-step explanation:
the answer is c. because it is the corresponding value to minus two
Marcus tracked the changes in his sales over a 12-
month period and graphed the results. Over which
interval was the change in Marcus's sales constant?
0 (0.4)
(0.5)
O (5, 6)
O (6. 12)
Answer:
Its B!
Step-by-step explanation:
Just passed on edge 2020
The interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given, Marcus tracked the changes in his sales over a 12- month period.
we need to find at which interval was the change in Marcus's sales constant.
First we need to plot the graph, the points given to us will show us the sale of Marcus from the beginning to the end.
The rapid increment is in the number of sales for that period of time is (0, 4) and (0, 5) as we can see a straight line.
Line between point (0, 5) and (5, 6), there is a slant line therefore, which shows that were slow and constant growth in the sale of Marcus as the line is increasing upwards.
The line between the points (5, 6) and (6, 12) is also a slant line but the slope of the line is high than the previous line for points (0, 5) and (5, 6).
Constant growth between these two points and this growth was also constant but it was more rapid as compared to sales between the point (0, 5) and (5, 6).
Therefore the interval between which the sales of the Marcus were constant was (0, 5) to (5, 6) and (5, 6) to (6, 12)
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Find the area of the square below. Each unit on the grid represents one unit. Make sure you show your work and/or explain how you solved it.
Answer:
Area of the rectangle A = 17 units²
Step-by-step explanation:
Area of the rectangle A = Area of rectangle ACEG - (Area of the triangle ABH + Area of triangle BCD + Area of triangle DEF + Area of the triangle FGH )
Area of rectangle ACEG = Length × Width
= (5 units) × (5 units)
= 25 square units
Area of the triangle ABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4)(1)[/tex]
= 2 units²
Area of the triangle BCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(1)(4)[/tex]
= 2 units²
Similarly, area of the triangle DEF = 2 units²
And area of the triangle FGH = 2 units²
Now area of the rectangle A = 25 - (2 + 2 + 2 + 2)
= 25 - 8
= 17 square units
Therefore, area of the rectangle A = 17 square units
20/4 = X/18 What is X
Answer: 90
Step-by-step explanation: Divide 20 by 4 and Multiply the 18
what is (- 2) to the 4 power in expanded form and standard form what is (- 7) to the 2nd power in expanded form and standard form
Answer:
(-2)^4 = (-2) * (-2) * (-2) * (-2) = 16
↑expanded ↑standard
(-7)² = (-7) * (-7) = 49
What is the formula for the area A of a circle in terms of the radius r?
Answer:
A=pi r^2for example:
r=2 cm
Area=pi r^2
=3.14*(2)^2
=3.14*4
=12.56
hope it helps
Good luck on your assignment
what is standard form of 42/-10
Answer:
-4.2
Step-by-step explanation:
Taking the expression at face value, it is ...
42/-10 = -42/10 = -4.2
_____
Comment on "standard form"
In the US, a number is in standard form if it is written as a sequence of decimal digits and a decimal point (if there is a fractional part), usually with no leading zeros (left of the decimal point). The sign is prepended to that digit string, as shown above.
In the UK, a number is in standard form if it is written in "scientific notation." The rule for writing a number in standard form is that first you write down a number between 1 and 10, then you write ×10(to the power of an integer). Usually powers of 0, or multipliers of 1, are not written. Then the number here is still -4.2, rather than -4.2×10⁰.
Which ordered pair is generated from the equation shown below? y = 3x -2 A. (3, 9) B. (3, 7) C. (1, 3) D. (3, 1)
Answer:
B
Step-by-step explanation:
7 = 3*3 -2
7 = 9 -2
7 = 7
This is the only point that works.
Answer:
B
Step-by-step explanation:
An arc with length 5 pi over 4 inches is formed by a 15 degree central angle what is the radius of the circle
Answer:
Radius of the circle is 15 inches.
Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:
[tex]\theta = \dfrac{l}{r} ..... (1)[/tex]
where [tex]\theta[/tex] is the central angle in radians subtended by arc
[tex]l[/tex] is the length of arc
[tex]r[/tex] is the radius of arc
We are Given the following details:
[tex]l = \dfrac{5\pi}{4}\ inch[/tex]
[tex]\theta = 15^\circ[/tex]
We know that [tex]\pi \ radians = 180 ^\circ[/tex]
Converting [tex]\theta[/tex] to radians:
[tex]\theta =\dfrac{\pi}{180} \times 15[/tex] radians
Putting the values of [tex]\theta[/tex] and [tex]l[/tex] to find the value of [tex]r[/tex]
[tex]\dfrac{\pi}{180} \times 15 = \dfrac{5\pi}{4r}\\\Rightarrow r = \dfrac{45}{3} \\\Rightarrow r = 15 \ inches[/tex]
Hence, Radius of the circle is 15 inches.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
m(x) = 2(x + 4)² - 8 ← is in vertex form
with vertex = (- 4, - 8 ) → A
Mr. Bond's monthly income is Rs. 2400 and his monthly expenditure on rent is Rs.250. The central angle of the sector representing rent expenses in the pie chart would be ……………
Answer:
[tex]x = 37.5^{\circ}[/tex]
Step-by-step explanation:
The central angle of the sector representing rent expenses in the pie chart is found by simple rule of three:
[tex]x = \frac{Rs. 250}{Rs. 2400}\times 360^{\circ}[/tex]
[tex]x = 37.5^{\circ}[/tex]
In the pie chart, the central angle of the sector reflecting rent expenses is equal to [tex]\boldsymbol{37.5^{\circ}}[/tex]
Pie ChartA pie chart is a circular statistical visual divided into slices to show numerical proportion. The arc length of each slice in a pie chart is proportionate to the quantity it shows.
Monthly income of Mr. Bond [tex]=[/tex] Rs. [tex]2400[/tex]
Monthly expenditure on rent [tex]=[/tex] Rs. [tex]250[/tex]
Central angle of the sector representing rent expenses in the pie chart [tex]=\frac{250}{2400}\times 360^{\circ}[/tex]
[tex]=\boldsymbol{37.5^{\circ}}[/tex]
Find out more information about pie chart here:
https://brainly.com/question/13217262?referrer=searchResults
Express 5.09 * 10 to the -4 in standard form
Answer:
5.09 x 10^-4 = 0.000509
Step-by-step explanation:
Simply just move the decimal places 4 times to the left and fill in your zeros to get your answer. (I think this is standard form)
What is the value of a
Answer: Multiplying 3x and -x we obtain A= -3x^2
What is the median of this data set
Answer:
52.5
Step-by-step explanation:
median is where u find the middle number
put them in order first
24,28,51,54,67,70
its between 54 and 51
b÷7−12=8
Solve the equation
Answer:
[tex] \boxed{b = 140} [/tex]
Step-by-step explanation:
[tex] = > \frac{b}{7} - 12 = 8 \\ \\ = > \frac{b}{7} = 8 + 12 \\ \\ = > \frac{b}{7} = 20 \\ \\ = > b = 20 \times 7 \\ \\ = > b = 140[/tex]
