The total number of students in Mrs. Cunningham's class is 30.
From the question we know that the ratio of boys to girls in Mrs. Cunningham's class is 2 to 3 so we can write
no.of boys: no.of girls = 2:3
The total number of girls in the class is given as 18 so with this we can find out the number of boys in the class that is :
no.of boys= (2/3)*no.of girls in class
now after substituting the values in the equation, we get
no. of boys = (2/3) * 18
no.of boys = 12.
So, now we know the number of boys in the class that is 12 and the number of girls in the class is 18.
We can calculate the total number of students in the class which is equal to
= no.of boys + no.of girls.
= 12+18
=30
Therefore, the total number of students in Mrs. Cunningham's class is 30.
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What is the final elevation if
A butterfly starts at 20 m and changes -16 m?
What is the final elevation if
A diver starts at 5 m and changes -16 m?
?/1
What is the final elevation if
A whale starts at -9 m and changes 11 m?
?/1
What is the final elevation if
A fish starts at -9 meters and changes -11 meters?
Answer: Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
Step-by-step explanation:
Final elevation= Initial poistion + Change.
A butterfly starts at 20 m and changes -16 m.
Final elevation = 20m +(-16m)
= 20-16 m [(-)(+)=(-)]
= 4m
A diver starts at 5 m and changes -16 m.
Final elevation = 5m + (-16) m
= 5m- 16 m [(-)(+)=(-)]
= -11 m
A whale starts at -9 m and changes 11 m.
Final elevation = (-9m)+11m
= 11m- 9m [-a+b=b-a]
= 2m
A fish starts at -9 meters and changes -11 meters
Final elevation = -9+(-11) m
= (-9-11) m [(-)(+)=(-)]
=-(9+11) m [-a-b=-(a+b)]
=-20m
Hence, Final elevation of butterfly = 4m
Final elevation for diver = -11m
Final elevation for whale= 2m
Final elevation for fish = -20m
Bert’s pizza contains x toppings.
Ernie’s pizza contains 4 times the number of toppings as Bert’s pizza.
The total number of toppings on the two pizzas is 15.
What is x, the number of toppings on Bert’s pizza?
Answer:
x=3
Step-by-step explanation:
x = number of toppings on berts pizza
Berts pizza has 1x toppings
Ernies pizza has 4x toppings
there are 15 toppings on both pizzas
x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3
5 1/3 - 3 2/6 (then simplify)
5 1/3 - 3 2/6 simplify is 2.
in how many ways can 2 red lights, 4 yellow lights, 5 blue lights, 1 green light and 2 pink lights be arranged on a string of lights?
Therefore, the total number of ways the lights can be arranged on the string is: 14! / (2! * 4! * 5! * 2!).
To find the number of ways the lights can be arranged on a string, we need to calculate the total number of permutations.
The total number of lights is 2 red lights + 4 yellow lights + 5 blue lights + 1 green light + 2 pink lights = 14 lights.
Since all the lights are distinct, we can arrange them in 14! (factorial) ways. However, since there are repetitions of certain colors, we need to account for that.
The red lights are identical, so we divide by 2! (the number of permutations of the red lights among themselves).
The yellow lights are identical, so we divide by 4! (the number of permutations of the yellow lights among themselves).
The blue lights are identical, so we divide by 5! (the number of permutations of the blue lights among themselves).
The pink lights are identical, so we divide by 2! (the number of permutations of the pink lights among themselves).
Therefore, the total number of ways the lights can be arranged on the string is:
14! / (2! * 4! * 5! * 2!)
You can calculate this expression to find the specific number of arrangements.
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The wavelength of green light in a spectrum is about 0.000003 feet. Which
number best approximates this length as a power of 10?
The scientific notation of the wavelength of green light in a spectrum
is 3×10⁻⁶ feet.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, The wavelength of green light in a spectrum is about 0.000003 feet.
Now, the decimal is 6 places before so we have to move the decimal 6 places to the right, and to maintain the actual value we'll raise it to 10⁻⁶.
Therefore, 0.000003 feet,
= 3×10⁻⁶ feet.
So, the wavelength of green light is 3×10⁻⁶ feet.
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Expand and simplify no wrong answer or files or blank answers or reported
Answer:
-20t-18
Step-by-step explanation:
4t+6-24t-24
A garden is in the shape of a rectangle 26 feet long and 25 feet wide. If fencing costs $5 a foot, what will it cost to place fencing around the garden? A. $255 B. $510 C. $1020 D. $3250
Answer:
$5 × 2 × (26 + 25) = $5 × 2 × 51 = $5 × 102
= $510
B is the correct answer.
Is (-5,-8) a solution of y > 3x+6
Answer:
Yes
Step-by-step explanation:
We can check whether (-5, -8) is a solution by plugging in the point for x and y and seeing whether the inequality still holds true:
-8 > 3(-5) + 6
-8 > -15 + 6
-8 > -9
Because -8 is greater than -9, (-5, -8) is a solution to the inequality
a lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral.
T/F
True. A lambert quadrilateral can be "doubled" to form a saccheri quadrilateral; a saccheri quadrilateral can be "halved" to form a lambert quadrilateral. So, the statement is true.
A Lambert quadrilateral is a type of quadrilateral that has three right angles and one acute angle.
To double a Lambert quadrilateral means to construct a new quadrilateral with twice the area but with the same shape.
This can be done by drawing a line through the acute angle of the original quadrilateral and constructing a new square on each side of the line.
The resulting shape is a Saccheri quadrilateral, which has two right angles and two acute angles.
To halve a Saccheri quadrilateral means to construct a new quadrilateral with half the area but with the same shape.
This can be done by drawing a line through one of the acute angles of the original quadrilateral and constructing a new square on one side of the line. The resulting shape is a Lambert quadrilateral.
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8 of the students in a history class failed a History test. If these students are 25% of all the students in the class, how many students are in the history class?
Group of answer choices PLSSS HURYRRY
20 students
32 student
Answer:
32
Step-by-step explanation:
We are told that 25% of the class is 8 students so to find the number of people in the whole class we have to do 100 divided by 25 then that answer multiplied by 8!
100 ÷ 25 = 44 x 8 = 32This means that there are 32 students in the class
Hope this helps, have a lovely day! :)
four identical red balls and two identical black balls are placed in a box. one ball is randomly selected. without replacement, the second ball is selected. what is the probability that at least one of the balls is red.
The probability that atleast one ball is red is 14/15.
Given that:-
Number of red balls = 4
Number of black balls = 2
One ball is randomly selected, without replacement, the second ball is selected.
We have to find the probability that atleast one ball is red.
There are four ways in which this can happen:-
RR, BR, RB, BB
Where R stands for Red ball and,
B stands for Black ball.
We know that,
Probability that no ball is red + Probability that atleast one ball is red = 1
Hence, we can write,
Probability that atleast one ball is red = 1 - Probability that no ball is red
P(BB) = (2/6)*(1/5) = 1/15
Hence,
Probability that atleast one ball is red = 1 - (1/15) = 14/15
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How much simple interest is earned on $1,272 deposited in a bank for 20 years at 3% annual interest rate?
The simple interest earned on $1,272 deposited in a bank for 20 years at 3% annual interest rate is $764.40.
To calculate the simple interest earned on a principal amount deposited in a bank, we use the formula:
Simple Interest = (Principal) x (Rate) x (Time)
where the rate is the annual interest rate, and the time is the number of years the money is deposited.
In this case, the principal is $1,272, the rate is 3%, and the time is 20 years.
Plugging in these values into the formula, we get:
Simple Interest = (1272) x (0.03) x (20)
Simple Interest = $764.40
Therefore, the simple interest earned on $1,272 deposited in a bank for 20 years at 3% annual interest rate is $764.40.
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what is 5 over 10 as a decimal
Answer:
0.50
Step-by-step explanation:
5/10=1/2
100/2=50
50*1=50
50 equals to 0.50 as a decimal
A radio wave has a frequency of 5.5 × 10^4 hertz and travels at a speed of 3.0 × 10^8 meters/second. What is its wavelength?
A.
5.5 × 10^4 meters
B.
5.0 × 10^3 meters
C.
5.5 × 10^3 meters
D.
3.0 × 10^8 meters
Answer:
its c
Step-by-step explanation:
who solves your disputes in the games
Answer:
of course ,the refree or the umpire
Plassey help ASAP.hjsjdjdjdjxc
HELP ME? PLS 8TH GRADE
Answer:
there are multiple answers so it has many soultions
Step-by-step explanation:
Alexandra ran 2 4/5 miles last weekend. This weekend, she ran 3 1/5 miles. How many miles did she run in all?
Answer:
6 miles.Step-by-step explanation:
She ran on 2 weekends.
2 4/53 1/5We need to add:
2 4/5 + 3 1/5Solve:
2 + 3 = 5= 4/5 + 1/5 = 1= 5 + 1= 6.Alexandra ran 6 miles in total.
Answer:
6 miles
Step-by-step explanation:
1/5+4/5=1 mile
2+3=5 miles
1+5=6 miles
brainliest?
Which set has a domain of {1, 5), and a range of {4, 8}?
O {(1,8), (5,4),(4,8)}
O {(1,8), (5,4), (1,4)}
O {(1,5), (4,8)
O {(8,1), (4,5), (4,1)}
Answer:
set {(8,1)),(4,5),(4,7)}
Answer: Choice B
Reason:
The domain is the set of x values
The range is the set of y values
Each point is of the form (x,y). The x always goes first.
Quickkk solve by graphing u can use a graph I just need the work
y = 3x + 2
6x - 2y = -4
Answer:
-3x-3y=-24
divide the equation by 3
-x-y=-8
multiply -1
x+y=8
second equation
x+y=8
same equation
so answer is
x+y=8
Step-by-step explanation:
In a binomial situation, n=9 and π=0.60. Determine
P(x=3)*
The probability of having three successes out of nine trials with probability of success being 0.60 is approximately 0.250.
To determine P(x=3) in a binomial situation where n=9 and π=0.60, we can use the formula for the probability mass function of a binomial distribution:
P(x=k) =\((n choose k) * π^k * (1-π)^(^n^-^k^)\)
where "n choose k" is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
Substituting the given values in the formula, we obtain:
P(x=3) = (9 choose 3) * 0.60^3 * 0.40^6 = (9!/(3!6!)) * 0.216 * 0.04096 ≈ 0.250
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Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equation A=p(1+r) with and exponent of t, where p is the investment in dollars, r is the interest rate, and t is the time of years. What amount will be in the savings account in two years?
Answer:
$110.25
Step-by-step explanation:
Step one:
given
principal= $100
rate= 5%
time = 2 years
Required
The final amount
Step two:
The compound interest formula is
\(A=p(1+r)^t\)
substituting we have
\(A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\\)
The final amount is $110.25
question 12 (essay worth 10 points) (05.04, 05.05 hc) let x equals negative 31 times pi over 6 period part a: determine the reference angle of x. (4 points) part b: find the exact values of sin x, tan x, and sec x in simplest form. (6 points)
Part A: The stated values is; x = 31π/6
A circle has 360 degrees. We must decrease the present angle to an angle between 0° and 360° in order to determine the reference angle.
As, 360° = 2π radians, subtract 2π = 12π/6 radians for each iteration.
Iteration 1 => 31π/6 - 12π/6 = 19π/6
Iteration 2 => 19π/6 - 12π/6 = 7π/6
0 ≤ 7π/6 ≤ 12π/6
Thus, reference angle is found as 7π/6 radians
Part B) The value for the sin x, tan x, and sec x.
sin (7π/6) = -1/2
tan (7π/6) = 1/√3
sec (7π/6) = 1/cos(7π/6) = -1/(√3)/2
sec (7π/6) = -2/√3
Thus, the simplest values of sin x, tan x, and sec x are found.
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when nesting loops, the inner loop must be completely contained in the outer loop and must use a different control variable. T/F
True, when nesting loops, the inner loop must be completely contained within the outer loop and must use a different control variable.
When nesting loops, one loop is placed inside another loop. The purpose of nesting loops is to execute a set of instructions repeatedly in a structured manner. In this context, the statement is true: the inner loop must be entirely contained within the outer loop, and a different control variable must be used for each loop.
By containing the inner loop within the outer loop, we ensure that the inner loop executes its iterations every time the outer loop iterates. This nested structure allows for more complex and detailed looping patterns.
Using different control variables for the inner and outer loops is necessary to maintain independent control over their iterations. Each loop should have its own variable to track and control its progress. This distinction is crucial in preventing conflicts and ensuring that the loops function as intended.
Therefore, when nesting loops, it is essential to follow these guidelines: the inner loop must be entirely contained within the outer loop, and a distinct control variable should be used for each loop to ensure proper execution and avoid potential errors.
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What's (2×2)÷2=???????????????????????
Answer:
2
Step-by-step explanation:
2×2=4
4÷2=2
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4 / 2 = 2
the answer is 2
Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.
4 cm
20 cm
9 cm
5 cm
5 cm
6 cm
Answer:
The ratio of the volume of the triangular prism to the volume of the cuboid is 3: 20
Step-by-step explanation:
The volume of the triangular prism V\(_{T}\) = \(\frac{1}{2}\) bh × H, where
b and h are the base and the height of the triangular baseH is the height of the prismThe volume of the cuboid V\(_{C}\) = L × W × H, where
L and W are the dimensions of the baseH is the height of the cuboid∵ The base of the triangular prime is a right triangle with legs 5 cm, 4 cm
∴ b = 5 cm and h = 4 cm
∵ Its height is 9 cm
∴ H = 9 cm
→ Substitute them in the rule of the prism above
∵ V\(_{T}\) = \(\frac{1}{2}\) (5)(4) × 9
∴ V\(_{T}\) = 90 cm³
∵ The dimensions of the base of the cuboid are 6 cm and 5 cm
∴ L = 6 cm and W = 5 cm
∵ Its height is 20 cm
∴ H = 20 cm
→ Substitute them in the rule of the cuboid above
∵ V\(_{C}\) = 6 × 5 × 20
∴ V\(_{C}\) = 600 cm³
→ Find the ratio between them
∵ V\(_{T}\): V\(_{C}\) = 90: 600
→ Divide each term of the ratio by 30 to simplify them
∴ V\(_{T}\): V\(_{C}\) = 3: 20
∴ The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
if the probability that an event will occur is 4/5, then the probability that the event will not occur is 1/5, and the odds in favor of the event occurring are the odds are _:_ as a ratio simplified
odds= probability/ (1-probability)
\(=\frac{\frac{4}{5}}{1-\frac{4}{5}}=\frac{0.8}{0.2}=\text{ 8:2 = 4:1}\)Please help me out- thank you
Answer:
3, 5, 7, 9, 11, 13 and keep going I hope this helped!
Step-by-step explanation: Its going by 2's so just add 2 to the numbers!
A survey of 539 adults aged 18-24 year olds was conducted in which they were asked what they did last Friday night. It found:
189 watched TV
163 hung out with friends
29 watched TV and ate pizza, but did not hang out with friends
49 watched TV and hung out with friends, but did not eat pizza
36 hung out with friends and ate pizza, but did not watch TV
30 watched TV, hung out with friends, and ate pizza
60 did not do any of these three activities
How may 18-24 year olds (of these three activities) only ate pizza last Friday night?
Your Answer:
Answer:
95 people ate pizza
Step-by-step explanation:
Add the ones highlighted
If the point P( 9/10, y) is on the unit circle in quadrant IV, then y
=
A unit circle has a radius of 1, so r = 1. The point P(9/10, y) in the IV quadrant will have a positive x-value and a negative y-value.
How to solve the problem?Using the Pythagorean theorem we know that, x² + y² = r², in a Cartesian coordinate system. We can solve for y by rearranging the formula, r² - x2 = y², or y = ±√(r² - x²).
y = ±√(r² - x²)
y = ±√([1]² - [9/10]²)
Simplify the expression we have
y = ±√(1 - 81/100)
y = ±√(1-0.81)
y = ±√0.19, we choose the negative for quadrant IV.
y = -√0.19
y = -0.4359
Sin -0.4359 = 26 degrees in the IV quadrant, = 360-26 =334 degrees
CosA = 0.4359 in the Iv quadrant is positive we chose the positive figure 64 degrees
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