The number of students who speak all 3 Languages is 3.
The number of students who speak only one language is 12.
And the number of students who speak two languages is 25.
What is set?Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
Given:
In a Class Of 40 Students,
the number of students who speak Hausa, n(h) = 25
The number of students who speak Igbo, n(I) = 16
The number of students who speak Yoruba, n(Y) = 21.
The Venn diagram is given in the attached image.
The number of students who speak all 3 Languages is,
(25 + 26 + 21) - (11 + 8 + 6 - x) = 40
x = 3
The number of students who speak only one language is,
= 6 + 4 + 2 = 12
The number of students who speak two languages is,
= 11 + 8 + 6 = 25
Therefore, the number of students who speak all 3 Languages is 3.
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Bianca can walk 5/6 of miles 1/3 of an hour. What is her walking speed,in miles per hours?
Answer:
Step-by-step explanation:
To find Bianca's walking speed, we need to divide the distance she walks by the time it takes her to walk that distance. We can do this by converting both the distance and time to the same unit of measure.
Since 1 hour is equal to 60 minutes, 1/3 of an hour is equal to 1/3 * 60 minutes = 20 minutes. Now that we have the distance in miles and the time in minutes, we can divide the distance by the time to find Bianca's walking speed.
5/6 of a mile is equal to 5/6 * 1 mile = 0.83 miles. So, Bianca's walking speed is 0.83 miles / 20 minutes = 0.0415 miles per minute. To convert this to miles per hour, we can multiply by the conversion factor of 60 minutes per hour. This gives us a walking speed of 0.0415 miles/minute * 60 minutes/hour = 2.49 miles per hour. So, Bianca's walking speed is 2.49 miles per hour.
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Joanna's vegetable garden covers an area of 16 of a square mile. If the garden is 14 mile wide, how long does the garden stretch?
112 mile
1 over 12 mile
512 mile
5 over 12 mile
23 mile
2 thirds mile
34 mile
The length of the rectangular garden given the area and width is 8/7 miles
Area of rectangleA rectangle is a form of quadrilateral having opposing sides parallel and four right angles. The area of a rectangle can be calculated by multiplying the length by width.
Width of the rectangular garden = 14 mileLength of the rectangular garden = x mileArea of the garden = 16 square milesArea of a rectangular garden = length × width
16 = x × 14
16 = 14x
divide both sides by 14x = 16 / 14
x = 8/7 miles
Therefore, the length of the rectangular garden given the area and width is 8/7 miles.
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7%of£40
show working out plz
Answer:
7% of 40 is 2.80
Step-by-step explanation:
0.07 x 40 = 2.8
Answer:
17.5%
Convert fraction (ratio) 7 / 40
then divide 7 by 40 and multiply by 100 and you get 17.5%
plz mark brainliest
Identify the y-coordinate
(9,[?])
Answer:
(9,16)
Step-by-step explanation:
We Know
The equation y = 3x - 2
Find the y coordinate (9, ?)
We just simply put 9 in for x and solve for y
y = 3(9) - 2
y = 18 - 2
y = 16
So, the coordinate are (9,16)
21(x + 1) - 6x = 15x + 21
Answer:
15x = 15x
or
0 = 0
Step-by-step explanation:
21(x + 1) - 6x = 15x + 21
21x + 21 -6x = 15x + 21
21x - 6x = 15x
15x = 15x
or
0 = 0
this equation is always true
Simplify each of the following exponential expressions. a. 7⁴= ? b. (–10)⁴= ? c. 5¹ = ? d. 0⁴= ? e. –6²= ? f. –3⁰= ?
The exponential expressions when simplified are 2401, 10000, 5, 0, 36 and 1
Simplifying each of the exponential expressionsFrom the question, we have the following parameters that can be used in our computation:
The exponential expressions a to f
The general rule is that
a^b = a * a * a..... in b places
Using the above as a guide, we have the following:
a. 7⁴ = 7 * 7 * 7 * 7 = 2401
b. (–10)⁴ = (–10) * (–10) * (–10) * (–10) = 10000
c. 5¹ = 5
d. 0⁴ = 0 * 0 * 0 * 0
e. –6² = -6 * -6 = 36
f. –3⁰ = 1
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An engineer designs a 65-foot cellular telephone tower. Find the angle of elevation to the top of the tower at a point on level ground 40 feet from its base. (Round your answer to one decimal place.)
Answer:
the angle of elevation is 58.4°
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
let ∅ be the angle of elevation;
Opposite (AC) = 65 ft
Adjacent (CB) = 40 ft
we know that; from SOH CAH TOA
TOA
tan∅ = Opposite / Adjacent
so;
tan∅ = 65 / 40
tan∅ = 1.625
∅ = tan⁻¹ ( 1.625 )
∅ = 58.3924 ≈ 58.4°
Therefore, the angle of elevation is 58.4°
An architect is drawing up plans for a house. The rectangular living room is 4 feet longer than it is wide. The
area of the living room is 572 square feet. Find the dimensions of the living room.
A 24 feet wide, 28 feet long
B. 18 feet wide, 22 feet long
C. 26 feet wide, 30 feet long
D. 22 feet wide, 26 feet long
Please select the best answer from the choices provided
Answer b
Step-by-step explanation:
The prime factorization of 25 is
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
Which of the following is used to represent complex numbers?
A.
x2 + y
B
C.
bi + 2
D.
a + bi
Answer: D) a+bi
Where both a and b are real numbers.
In your textbook, you might see \(a,b \in \mathbb{R}\) to indicate that they are real numbers.
An example would be 7+13i, where a = 7 and b = 13.
can you simplify -3.2/0.8
Explanation:
Move the decimal point to the right one spot for each value
-3.2 turns into -32
0.8 turns into 8.0 which is the same as 8
That means the given fraction is the same as -32/8 which simplifies into -4
I need help
You buy two subs from Danny's for $5.97 each and you pay the cashier
$15. How much change will you get back?*
Answer:
3.06
Step-by-step explanation:
Answer:
You will get $3.06 back
Step-by-step explanation:
Add 5.97 + 5.97 = 11.94
then if you give the cashier $15 subtract what you owe, so 15 - 11.94 = 3.06
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble.A marble is chosen at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
SOMEONE PLEASE HELP ME IM SO STUCK
Answer:
1/4
Step-by-step explanation:
First you add all of the marbles in the bag which is 16 marbles. The fraction of red marbles to the total would be 4/16. In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.
Solve problems involving proportions
Question 20.
If the speed of a boat in still water is 13 mph,
a.) what is its speed going against a current with a rate of x mph?
b.) what is its speed going with a current with a rate of x mph?
The speed of the boat against the current is (13+x)mph and with the current is (13-x) mph.
How does stream flow affect the net speed of boat?If boat goes along the stream flow (downstream), then the speed of boat will be increased as stream will help boat go faster. In contrast, the upstream flow of boat will be slower than its speed in normal flow due to stream resistance.
Speed of boat with the current = Speed of boat + Speed of current
Speed of boat against the current = Speed of boat - Speed of current
Given that the speed of a boat in still water is 13 mph. Also, the speed of the water current is x mph. Therefore, the speeds in the given cases can be written as,
a.) The of speed going against a current with a rate of x mph can be written as,
Speed of boat with against the water current
= Speed of Boat - Speed of water current
= 13 mph - x mph
= (13-x) mph
b.) The of speed going with a current with a rate of x mph can be written as,
Speed of boat with the water current
= Speed of Boat + Speed of water current
= 13 mph + x mph
= (13+x) mph
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Please help me with this.
Answer:
67*3=201
bcoz there were two decimals in 0.67 and one decimal point in 0.3 hence we multiply them normally as shown above.
below is the ryt answer
0.67*0.3=0.201
hop u understood
tnxx
29.For n ≥ 3, a pattern can be made by overlapping n circles, each of circumference 1 unit, so that each circle passes through a central point and the resulting pattern has order-n rotational symmetry.
For instance, the diagram shows the pattern where n = 7.
If the total length of visible ares is 60 units, what is n?
The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.
To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).
In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.
Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:
2n = 60
Solving this equation, we find:
n = 60/2 = 30
Thus, the value of n is 30.
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A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
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PLEASE HELP!!
k is between points s and t. sk = 23 and kt=13. what is st?
___ Units
Answer:
36
Step-by-step explanation:
23+13 because it's the length of both the lines
Answer: ST = 36
Step-by-step explanation:
The Segment Addition Postulate states that SK + KT = ST
SK = 23
KT = 13
23 + 13 = 36
ST = 36
Factor the polynomial and use the factored form to find the real zeros.
P(x) = x⁴ - 3x³ + 2x²
x = ____________
Sketch the graph
Answer:
x = 2 or x = 1
Step-by-step explanation:
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
Find the surface of the rectangular prism
Answer:
yes multiply the 3 sides 3 times together with the number 2
Helpppp it’s so hard and due today pleaseee
Answer:
for every 2 followers benjamin has, lauren has 5 followers
Step-by-step explanation:
find the common factor for their followers (11), then divide them by that:
22/11=2
55/11=5
2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
What does "buying more house than you can afford" mean? Why shouldn't you do this?
Answer:
Basically it just means that you are trying to spend money that you don't have on things you don't need.
Step-by-step explanation:
Taken literally, you can live in a pretty small house and be content. You don;t need to spend tons of money to be happy. This can be a bad thing to do because you don't want to be in debt to anyone, especially when that could have been avoided.
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters?
The measurement closest to the area of the circle in meters is 379.94 sq. meters.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.
Given that,
diameter = 22m
radius = 22/2 = 11m
The area of the circle is:
A = πr²
Substituting the value of π = 3.14 and r = 11 we have:
A = (3.14)(11)²
A = 379.94
Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.
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Help with question pleaae
The length of triangle AB is 22.5.
Triangle A = 7.5
Triangle B = 15
Whole = 22.5
As per the given question
Figure is made of 2 triangles.
Triangle A
Triangle B
9
7
As it is 2 triangles so
So A = 7.5
B = 15
The whole is = 15 + 7.5
=22.5
Each part is 7.5 and 15 respectively and whole is 22.5 per square unit.
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If two lines cross at the point (2, 3), then the system has two solutions.
False
True
Answer:
Step-by-step explanation:
False. They have one point in common meaning there is only 1 solution.