Answer:
Tim paid $123 more last year than Sarah.
Step-by-step explanation:
First, plug in 41 for the equation to get the cost Sarah has paid last year in which you should get $148 as the first part of your answer. Since Tim rented twice the amount of movies Sarah has rented, you should multiply that number to get 82. Then, plug in 82 for the equation to get the cost Tim paid last year in which you should get $271 as your second part of the answer. Then subtract 148 from 271 to get a difference of $123 in which Tim paid more of than Sarah.
Patti went to the bakery. she bought a loaf of bread for 3.49, 6 muffins that cost 1.25 each, and a bottle of juice for 1.75. she gave the cashier a 20$ bill
how much should Patti receive? write equations to show ur work
!HELLp NoW! Asap
Answer:
$ 7.26
Step-by-step explanation:
You're welcome :)
A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
Write the first three terms in the sequence given by the formula an = 8n + 4
Answer:
[tex]a_{1}[/tex] = 12
[tex]a_{2}[/tex] = 20
[tex]a_{3}[/tex] = 28
Step-by-step explanation:
In order to find the values of the first three terms of this sequence we would have to substitute in the "n" values for the first three terms that we mention earlier so. So in order to find the value of the first term we will substitute n with 1 (since the first term will be written as [tex]a_{1}[/tex], and as you see 1 will be equal to n, use the same logic for the other three terms) , in order to find the value of the second term the n would be substituted with 2, and for the third value we will substitute n with 3.
[tex]a_{1}[/tex] = 8 x 1 + 4
[tex]a_{1}[/tex] = 8 + 4
[tex]a_{1}[/tex] = 12
Then.......
[tex]a_{2}[/tex] = 8 x 2 + 4
[tex]a_{2}[/tex] = 16 + 4
[tex]a_{3}[/tex] = 20
And finally .......
[tex]a_{3}[/tex] = 8 x 3 + 4
[tex]a_{3}[/tex] = 24 + 4
[tex]a_{3}[/tex] = 28
Please help me thank you I appreciate it
Answer:
73
Step-by-step explanation:
since it's a right angle it equals 90° and you already know there 17°. so you just subtract 90-17
Which set of numbers represents the RANGE for the following table
x -3 4 6 -12
y 5 -6 2 0
A
{−6,0,2,5}
B
{4, 5, 6, 12}
C
{−3,4,6,12}
D
{0, 5, 6, 2}
Answer:
The range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
Step-by-step explanation:
Given the table
x -3 4 6 -12
y 5 -6 2 0
Determining the range:
We know that the range of a table consists of all the y-values of the given points.
From the given table, it is clear that the y-values are:
y = 5, -6, 2, 0
Thus, the range of the relation in ascending order is:
Range R = {-6, 0, 2, 5}
Please note that the duplicated elements in the range, if any, are written only once.
Therefore, the range of the table is:
Range R = {-6, 0, 2, 5}
Hence, option A is true.
Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7
A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates.
What is the weight of each crate?
Answer:
200 pounds per crate
Step-by-step explanation:
because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate
Answer:
250
2000 divided by 8
Step-by-step explanation:
The sum of eighteen and eight times a number is ninety.
what is the number?
Answer:
9
Step-by-step explanation:
9x8=72 72+18=90
simplify: √(4√3-√15)^2
I WILL AWARD BRAINLIEST TO THE CORRECT ANSWER!
Answer:
3.05521988407
Step-by-step explanation:
used a calculator lol
Hannah is working two summer jobs, making $18 per hour lifeguarding and $9 per hour clearing tables. Last week Hannah worked twice as many hours clearing tables as she worked hours lifeguarding hours and earned a total of $144. Graphically solve a system of equations in order to determine the number of hours Hannah worked lifeguarding last week, x,x, and the number of hours Hannah worked clearing tables last week, yy.
Step-by-step explanation:
18/hour life guarding and 9/hour clearing tables. so 9 divided by 144 gives you ur hours then u just divide by 2 to get life guarding hours pls tell me if u need help
Complete the equation by rewriting 2 12/20
Answer:
52/20
Step-by-step explanation:
Common sense and simple math
X + 7/8 = 23/8
Please help
Answer:
x=2
Hope I helped
Answer:
X=2
Step-by-step explanation:
Please mark brainliest.
Which set of numbers represents a Pythagorean triple?
Answer:
52 , 165 , 173 is Pythagorean triple.
Step-by-step explanation:
Pythagorean triple;
a² + b² = c²
Computation:
88² + 105² ≠ 139²
39² + 80² ≠ 119²
38² + 198² ≠ 202²
52² + 165² = 173²
So,
52 , 165 , 173 is Pythagorean triple.
If sigma notation n²=204,then n=
n is equal to the square root of 204
n=[tex]\sqrt{204}[/tex]
n=2[tex]\sqrt{51}[/tex]
The ratio of apples to oranges on the shelf is 6:5. If there are 220 pieces of fruit on the shelf, how many of each kind are there?
Answer:
120 apples and 100 oranges
Step-by-step explanation:
6/11 x 220 = 120 apples
5/11 x 220 = 100 oranges
I need help please I have to finish this
Answer:
x = 80 degrees
y = 25 degrees
Step-by-step explanation:
First find angle BCA.
We know a line is 180 degrees, and angle BCD is 130. So 180-130 = 50 degrees for angle BCA.
Since it is isosceles (two lines on both sides of triangle ABC) this means the bottom two angles are the same. Now we know the two angles to find missing angle X.
50+50+ x = 180 degrees
x= 180 - 100 = 80 degrees
Next we know triangle BCD is isosceles, so angle BDC and angle CBD are the same. We know the third angle is 130 degrees.
So 180 - 130 = 50 degrees split between two angles that are the same. So one angle is 50/2 = 25 degrees.
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Solve by elimination. 4x+6y=-12 2x+3y=4
Answer:
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
solving the system by the elimination method
[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]
[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]
subtracting the equations
[tex]4x+6y=8[/tex]
[tex]-[/tex]
[tex]\underline{4x+6y=-12}[/tex]
[tex]0=20[/tex]
0 = 20 is false, therefore the system of equations has no solution.
NO SOLUTION
A truck driver is able to move 48 kg in 20 weeks. Find the unit rate of how many kilograms the truck driver is able to move per week. Round to the nearest tenth.
Answer:
2.4 kg/week
Step-by-step explanation:
(48 kg)/(20 weeks) = 2.4 kg/week
Which of the following statements are true? Select all that apply.
HELP PLEASE!
There are 5 cat owners to 6
dog owners. If there are 30 dog owners how many cat owners are there?
Answer:
25 cat owners!!!
Step-by-step explanation:
It's a ratio word problem...
5:6
Multiply both Numerator and Denominator by 5.
25:30
May I please have Brainliest??!??
- ElizabethKate
Answer: 19
Step-by-step explanation: So 6+5=11 then 30-11=19
A rectangular prism is made up of 36 unit cubes and is 3 unit cubes high choose two possible combinations of width and length for the prism
A) 2 cubes wide and 6 cubes long
B) 3 cubes wide and 12 cubes long
C) 4 cubes wide and 3 cubes long
D) 5 cubes wide and 7 cubes long
E) 6 cubes wide and 6 cubes long
I think (i said think) the answer is E
A parallelogram is a:
rectangle
square
quadrilateral
rhombus
Answer:
quadrilateral
Step-by-step explanation:
A quadrilateral that has two pairs of parallel sides.
question in the image
Answer:
thats not a question
Step-by-step explanation:
According to Video Game Voters.org, 38% of all games sold in the U.S. would be purchased by women. Explain why is this a joint event?
Solution :
According to the question, as given by the Video Game Voters.org website, 38 percent of all the games that is sold in the United States would be purchased by the women.
Now this is considered as a joint event. This is because the above statement consists of two events.
1. Video games are sold in the United States.
2. Women purchased video games.
The above two events are working or happening at the same time. And 0.38 is the likelihood of the games to be sold in the U.S. and the games that is sold in U.S. are being purchased by the women.
HeEeEEeLpPpp <<3<3<3<3
Answer:
h = 13
Step-by-step explanation:
20 - 7 = 13
PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)
Answer:
The family will travel at least 4 days.
Step-by-step explanation:
The inequality would look like this:
350d ≤ 1400
it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.
To solve the inequality, use inverse operations.
350d ÷ 350 ≤ 1400 ÷ 350
d ≤ 4
the family will travel at least 4 days.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
William earns straight commission as a real estate agent. Last month his total sales were $971,168. If William earns a 3% rate of commission, what was his gross income last month?
Answer:
he earned $29,135.04
Step-by-step explanation:
to get answer you multiply total sales by .03
The answer is $29,135.04
6. To solve 3 3/4 + r = 5 3/8, use the
property of equality.
A) addition
B) subtraction
C) multiplication
division
HELP it’s number 6. problem
Answer:
B
Step-by-step explanation:
3 3/4 +r _3 3/4= 5 3/8_3 3/4
Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)
Answer:
y=-5/2x+1
Step-by-step explanation:
-1-4 ( -5 )
0- (-2 ) = 0+2 ( 2 )
-5/2
y=-5/2x+b
4=-5/2( -2 ) +b
4= 5+b
Subtract 4 from 5 ( 1 )
b=1
y=-5/2x+1
Hope this helped, Have a Great Day!!
The equation of the line passing from the given points is y = -5x/2-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line is passing through two points (-2, 4) and (0 -1)
We know that, the equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
Therefore,
y-4 = (-1-4)/(0+2)(x+2)
y-4 = -5/2(x+2)
y = -5x/2-5+4
y = -5x/2-1
Hence, The equation of the line passing from the given points is y = -5x/2-1
For more references on equations, click;
https://brainly.com/question/29657992
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