Answer:
The answer would be £198
principal (p) = 2200
Rate (R) = 0.5%
Time (T) = 18
Interest(I) = ?
Now,
or, Interest. = P×T×R/100
or, Interest = 2200×18×0.5/100
or, Interest = 19800/100
Hence, Interest = 198
Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?
Answer:
4031.5
Step-by-step explanation:
A student is given three triangles and must determine which triangles are
congruent. The student is also told that C = D = Y. Which of the
following statements is true? Justify your answer.
Answer:
the answer is B, because triangle BCA is a rotation of triangle XYZ.
Step-by-step explanation:
4x + 3y - 8z
-5x + 7y + 10Z
(+) - 4x – 3y - 8z
Answer:
and 4x-5x-4x+3y+7y-3y-8z+10z-8z
-5x+7y-6z :this is the answer
40 points. Topic: Solving a word problem using a system of linear equations of the form y = mx + b A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.17 for each minute of calls. Plan B costs $21 plus an additional $0.12 for each minute of calls. For what amount of calling do the two plans cost the same? ____minutes What is the cost when the two plans cost the same? $_____
Answer:
The plans will cost the same for $260 minutes of calling. These minutes will cost $52.20
Step-by-step explanation:
Plan A: $8 + ($0.17/min)t
Plan B: $21 + ($0.12/min)t
Equate these, obtaining $8 + ($0.17/min)t = $21 + ($0.12/min)t, or:
($0.17/min)t - ($0.12/min)t = $13, or
($0.05/min)t = $13 , so t = 260 minutes. The plans will cost the same for $260 minutes of calling.
Find the cost in this situation: It is $21 + ($0.12/min)(260 min), or $52.20
Find the area of the triangle.
a.
620 sq. m
c.
540 sq. m
b.
270 sq. m
d.
980 sq.m
Answer:
[tex]270 \:m^2[/tex]
Step-by-step explanation:
The area of the triangle.
[tex]bh\frac{1}{2}[/tex]
[tex]b \times h \times \frac{1}{2}[/tex]
[tex]20 \times 27 \times \frac{1}{2}[/tex]
[tex]540 \times 1/2[/tex]
[tex]=270[/tex]
The area of triangle would be;
⇒ Area of triangle = 270 m²
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Here, Given that;
Base of triangle = 20 m
Height of triangle = 27 m
Now, We know that;
Area of triangle = 1/2 × Base × Height
Substitute all the values, we get;
⇒ Area of triangle = 1/2 × Base × Height
⇒ Area of triangle = 1/2 × 20 × 27
⇒ Area of triangle = 270 m²
Thus, The area of triangle would be;
⇒ Area of triangle = 270 m²
Learn more about the triangle visit;
brainly.com/question/1058720
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A player tosses a die 6 times.If gets a number 6 Atleast two times he wins 2 dollars ,otherwise he looses 1 dollar.. Find the expectation of the amount if he wins
Answer:
[tex]E(x)=-0.2101[/tex]
Step-by-step explanation:
The expected value for a discrete variable is calculated as:
[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the values that the variable can take and [tex]p(x_1)[/tex] and [tex]p(x_2)[/tex] are their respective probabilities.
So, a player can win 2 dollars or looses 1 dollar, it means that [tex]x_1[/tex] is equal to 2 and [tex]x_2[/tex] is equal to -1.
Then, we need to calculated the probability that the player win 2 dollars and the probability that the player loses 1 dollar.
If there are n identical and independent events with a probability p of success and a probability (1-p) of fail, the probability that a events from the n are success are equal to:
[tex]P(a)=nCa*p^a*(1-p)^{n-a}[/tex]
Where [tex]nCa=\frac{n!}{a!(n-a)!}[/tex]
So, in this case, n is number of times that the player tosses a die and p is the probability to get a 6. n is equal to 6 and p is equal to 1/6.
Therefore, the probability [tex]p(x_1)[/tex] that a player get at least two times number 6, is calculated as:
[tex]p(x_1)=P(x\geq2)=1-P(0)-P(1) \\\\P(0) =6C0*(1/6)^{0}*(5/6)^{6}=0.3349\\P(1)=6C1*(1/6)^{1}*(5/6)^{5}=0.4018\\\\p(x_1)=1-0.3349-0.4018\\p(x_1)=0.2633[/tex]
On the other hand, the probability [tex]p(x_2)[/tex] that a player don't get at least two times number 6, is calculated as:
[tex]p(x_2)=1-p(x_1)=1-0.2633=0.7367[/tex]
Finally, the expected value of the amount that the player wins is:
[tex]E(x)=x_1*p(x_1)+x_2*p(x_2)\\E(x)=2*(0.2633)+ (-1)*0.7367\\E(x)=-0.2101[/tex]
It means that he can expect to loses 0.2101 dollars.
Answer:
Expected value = -0.2101
Step-by-step explanation :
Givena discrete variable the expected value is given as:
E(x) = xp(x) + yp(y)
Where x and y are the values the variables can assume, and p(x) and p(y) are their respective probabilities.
Probability that a player gets 6 at least twice = p(x ≥ 2) = 1 - p(x≤ 2)
= 1 - p(0) - p(1)
But p(0) = 0.3349
p(1) = 0.4018
p(x ≥ 2) = 1 - 0.3349 - 0.4018
= 0.2633
p(y) = 1 - p(x)
= 1 - 0.2633
= 0.7367
Expected value = 2(0.2633) + (-1)(0.7367)
= -0.2101
A loss of $0.2101 is expected.
What is the square root of -1?
Answer:
Second choice: i
Square root of -1 is an imaginary number, represented as i.
Please mark as BRAINLIEST! Thanks!
Suppose you bought 5 turkey and 7 ham
sandwiches for $38.50. The next day, you buy 6
ham and 4 turkey sandwiches for $32,00. How
much does each type of sandwich cost?
Answer:
turkey: $3.50
ham: $3
Step-by-step explanation:
Use system of equations:
turkey-x ham-y
5x+7y=38.5
4x+6y=32
multiply by 4 on equation 1 and multiply by 5 on equation 2
20x+28y=154
20x+30y=160
-2y=-6
y=3 ham is $3
5x+7(3)=38.5
5x=38.5-21
5x=17.5
x=3.5 turkey is $3.50
Given the equations below what is the value of n/m?
m-6(n+2)=-8
6n+m=16
Answer:
M=10
n=1
Happy learning,
Applepi101
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
Write the equation of the line with a slope of 3 that passes through the point (4, 1).
Answer:
Step-by-step explanation:
y - 1 = 3(x - 4)
y - 1 = 3x - 12
y = 3x - 11
Answer:c
Step-by-step explanation:
What is the perimeter of the trapezoid?
Answer:
17
Step-by-step explanation:
2+7+4+4 = 17
Add all of the sides hence perimeter
calculate using unit squares
how many servings are in 8 liters of honey if one serving is 1/4 of a liter?
Answer:
32 servings
Step-by-step explanation:
Take the amount of honey and divide by the size of a serving
8 ÷ (1/4)
Copy dot flip
8 * 4/1
32
There are 32 servings
Answer:
32 servings
Step-by-step explanation:
Which is the equation of the graphed line written in standard form? y = x x – x minus StartFraction one-half EndFraction y equals 0.y = 0 x – y = 0 y = y equals StartFraction one-half EndFraction x.x
Answer:
its is C. X-Y= 0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
plz let me know if this is incorrect
what is being displayed ?
Answer: The answer is (2)
Just evaluate the functions with the values of the figure
16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?
Answer:
adult tickets are $8 and student tickets are $14
Step-by-step explanation:
to find the price of adult and student tickets, first look at all the given values:
a = adult tickets
s = student tickets
so: 4a + 5s = 102
and : 7a + 5s = 126
since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:
126-102 = 24
there are 3 more adult tickets in the equation with a total of 126, therefore:
24 / 3 = 8
that means each adult ticket is work 8 dollars.
now substitute this value:
4(8) + 5s = 102
32 + 5s = 102
you can solve this by concluding that 102- 32 is 70
that means 5(s) has to equal 70
so 70 / 5 = s
70/5 = 14
so the value of s = 14 and the value of a = 8
in a basket of fruits there are 9 bananas 7 mangoes 2 pineapples. What fraction of the fruits are pineapple?
Answer:
1/9
Step-by-step explanation:
9 bananas 7 mangoes 2 pineapples. = 18 pieces of fruit
Fraction of fruit that is pineapple
pineapple / total
2/18
Simplifying
1/9
Answer:
1/9
Step-by-step explanation:
To start off, add all of the known fruit amounts in order to find the total amount of fruit.
9 bananas +7 mangoes + 2 pineapples
When you do this, you find that the total fruit is 18
In order to know probability, you must divide the desirable outcome by the total possible outcomes.
The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.
2/18
You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2
Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.
What is the measure of c?
1489
42°
С
90°
422
489
O 42°
O 48°
O 90°
0 180°
Please help me with this question
James is working at a place that ships boxes. Each box is rectangular prism that measures 2 ft long, 3 ft
wide, and 2 ft tall. He is loading a small trailer that has 396 cu ft of space. What is the maximum number
of boxes he can fit inside the trailer?
A.66
B.132
C.33
D.12
Answer:
a) 66
Step-by-step explanation:
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
The diagram below is a scale drawing of a building and the parking lot outside of it. A scale factor of 1cm= 6ft was used to make the drawing
What is the area of the parking lot
Plz help this makes no sense to me
Answer:
8,181 ft^2
Step-by-step explanation:
Area of the parking lot = Area of the whole structure - Area of the building
The building is a square of 12cm by 12cm
which is 72ft by 72ft since 1 cm is 6 ft
its area is thus 72 * 72 = 5,184 ft^2
The structure measures 16.5 cm by 22.5 cm
Multiplying the sides by 6, we have 99 ft by 135 ft
So its area is 99 * 135 = 13,365 ft^2
The area of the parking lot = 13,365 - 5,184 =
8,181 ft^2
What is (2x+3)(x- 8)= 3+2(x- 5)(x + 5)
Answer:
- 23/13
Step-by-step explanation:
first, we do the FOIL multiplication (First, Outer, Inner, Last)
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)
2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))
2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)
2x² - 16x + 3x - 24 = 3 + 2(x² - 25)
2x² - 16x + 3x - 24 = 3 + 2x² - 50
2x² - 13x - 24 = 3 + 2x² - 50
after that move all component which have x to the left
2x² - 2x² - 13x = 3 - 50 + 24
-13x = 23
x = - 23/13
Answer:
x^3= 11/-7
Step-by-step explanation:
(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=
2x^2-16x+3x-24= 3+2x-10+x+5
-11x-24= -2+3x
-11x^2 -24 = -2+3x
-11x^2-3x = -2+24
-14x^3 = 22
x^3 = 22/ -14
x^3 = 11/-7
Simplify the following fraction:147/231
Answer:
7/11
Step-by-step explanation:
Both the numerator and denominator are divisible by 21.
so:
147 divided by 21 = 7
231 divided by 21 = 11.
When they are re-assembles to a fraction = 7/11
Hope this helps.
Please mark brainiest
A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.
Answer:
So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.
The answer is 12 guests
200 is what percent of 100
Answer:
200%
Step-by-step explanation:
make a proportion
100/100% = 200/x% cross multiply
100x =20000 divide by 100
x = 200
Answer:
200% I think?
Step-by-step explanation:
Bryan’s golf coach suggested he take some golf lessons. The pro at windy fairways charges $20.00 per month plus $10.00 per lesson. The pro at sunny sands charges $100.00 per month for unlimited classes. How many classes does he have to take for both pros be the same price?
Answer:
8
Step-by-step explanation:
(100 - 20) / 10 = 8
Answer: He has to take a class per month from the both pros
Step-by-step explanation:
The exponential function g, whose graph is given below, can be written as g(x)=a•b^x
Answer:
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Step-by-step explanation:
Let the equation of the graphed exponential function is,
g(x) = [tex]a(b)^x[/tex]
Two points (0, 8) and (1, 2) lie on this graph.
For (0, 8),
g(0) = [tex]a(b)^0[/tex]
8 = a(1)
a = 8
For other point (1, 2),
g(1) = [tex]a(b)^1[/tex]
2 = ab
2 = 8b
b = [tex]\frac{2}{8}[/tex]
b = [tex]\frac{1}{4}[/tex]
Therefore, given exponential function wiil be,
g(x) = [tex]8(\frac{1}{2})^x[/tex]
Answer:
8⋅(1/4)^x
Step-by-step explanation:
trust me thats the answer
Write an equation for the line that is parallel to the given line and that passes through the given point. y= 1/2x - 8; (-6,-17)
Answer:
y = x/2 -14
Step-by-step explanation:
Since the lines are parallel, their slopes are equal
For the first line, we have
y = 0.5x -8
so comparing this with the standard form y = mx + c
Our m is the slope which is 0.5 here
kindly recall that 1/2 is same as 0.5
so the slope of the line we want to form also is 0.5
Now, we use the point slope form to find the equation of this new line
Mathematically that would be;
y-y1 = m(x-x1)
So;
y-(-17) = 0.5(x-(-6)
y + 17 = 0.5(x + 6)
y + 17 = 0.5x + 3
y = 0.5x + 3-17
y = 0.5x -14
or y = x/2 -14
Which represents a function
