Answer:
144-36π sq. in.
Step-by-step explanation:
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
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:
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
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;
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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 represents a function
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:
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 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
The two segments formed as a result of a bisector will
always be______?
1Proportional
2Perpendicular
3Congruent
4Parallel
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
Simplify the Expression : -20 - (-5) * (-2^2)
Answer:
-40
Step-by-step explanation:
-20-(-5)*(-2^2)
- and a - = positive
-2^2 = -4 but if it was (-2)^2 then it would be 4
-20+5*(-4)
order of operations
-20-20
-40
hope this helps
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
What ya the y-intercept of the function f(x) = -2/9x + 1/3
Answer:
-2/9 would be the slope
1/3 would be the y-intercept.
Answer: C. 1/3
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:
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!
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
Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?
Answer:
261
Step-by-step explanation:
Answer:
Katie gave away 261 gel pens.
Step-by-step explanation:
3/4 ÷348= 261
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:
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:
Pick out the definition of the word.
Irregular
A
not normal
B
not registered
C
not unusual
Answer: Not normal
Step-by-step explanation:
Regular (in math) refers to an integer that is a whole number or the integers that make up a whole number.
If it’s irregular then it’s not a normal integer like a whole number.
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
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8
Answer:
You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.
Answer:
It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.
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:
Please help me Simplify 5+(z+2)
Maybe try to simplify
Answer:
7+z
Step-by-step explanation:
you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z
A frog has fallen into a pit that is 30m deep. Each day the frog climbs 3m but falls 2m at night. How many days those it takes the frog to escape
Answer:
28 days
Step-by-step explanation:
because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.
i hope this helps! :)
the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium
Answer:
903 sq. cm.
Step-by-step explanation:
It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.
Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.
Area of parallelogram is
[tex]A_1=base\times height[/tex]
[tex]A_1=51\times 13[/tex]
[tex]A_1=663[/tex]
Using heron's formula, area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where, [tex]s=\dfrac{a+b+c}{2}[/tex].
The sides of triangle are 13cm, 37 cm, and 40 cm.
[tex]s=\dfrac{13+37+40}{2}=45[/tex]
Area of triangle is
[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]
The area of trapezium is
[tex]A=A_1+A_2=663+240=903[/tex]
Therefore, the area of trapezium is 903 sq. cm.
85 percent of 2500cm
Answer:
2125
Step-by-step explanation:
of means multiply
85% * 2500
Change to decimal form
.85* 2500
2125
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.
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
