The music teacher has a list if 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the LEAST number of classes needed for all the students to be registered in a class?
we have 8 yards of wrapping paper if we use two feet for each present how many presents can we wrap
Peter makes $7,000 a month plus some extra commission he makes 6% of everything he sells if Peter sold $55,000 of jewelry this month what his salary this month
1¼ gallons equals how many pints?
Answer:
10 pints
Step-by-step explanation:
There are 8 pints in a gallon, so ...
(1.25 gal) × (8 pt/gal) = 10 pt
i need help finding the perimeter of a rectangle
When ordering a student desk priced at $69.00, the shipping charges are 6%. What is the total cost of the desk?
Hey can you please help me posted picture of question
write (-5,2) and (-5,6) in standard form [if you can describe how to do this for the future]
which situation is represented by the following equation?45w+123.95=753.95
I need help on this please
£54 in the ratio 5:4
Solve for e.
9e^2f=49
e=±√7f/3
e=±7√f/3
e=±7√f/3f
e=±√7f/3f
Identify the problem with the following poll.
A recent poll asked 82 college students 7 questions about their experience at college. When asked their age only 58 responded.
correlation and causality
loaded questions
nonresponse
self interest
The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground
A 12 pack of soda is roughly $3.75. What is the cost per can of soda?
A line passes through the ordered pairs (4,1) and (2,8) . What is the slope? Please help
Final answer:
The slope of the line that passes through the points (4,1) and (2,8) is calculated using the slope formula and results in a slope of -3.5.
Explanation:
To find the slope of a line passing through the ordered pairs (4,1) and (2,8), you can use the slope formula:
m = (y2 - y1) / (x2 - x1). Here, (x1, y1) is the first point (4,1) and (x2, y2) is the second point (2,8).Plugging in the values, we get:
m = (8 - 1) / (2 - 4) = 7 / (-2) = -3.5Therefore, the slope of the line that passes through the points (4,1) and (2,8) is -3.5.
The slope of the line passing through the given points is -3.5.
Let’s find the slope of the line passing through the points (4, 1) and (2, 8).
The slope of a line can be calculated using the following formula:
[tex]\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
where:
• [tex](x_1) and (y_1)[/tex] are the coordinates of the first point (in this case, (4, 1)).
• [tex](x_2) and (y_2)[/tex] are the coordinates of the second point (in this case, (2, 8)).
Let’s compute the slope:
1. Difference in (x)-coordinates: [tex](x_2 - x_1 = 2 - 4 = -2)[/tex]
2. Difference in (y)-coordinates:[tex](y_2 - y_1 = 8 - 1 = 7)[/tex]
Now, calculate the slope:
[tex]\text{slope} = \frac{7}{-2} = -3.5[/tex]
Therefore, the slope of the line passing through the given points is -3.5.
Solve the system of equations algebraically 5x - 3y = 6 6x - 4y = 2
Answer:
[tex]x=9[/tex] and [tex]y=13[/tex]
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system algebraically.
[tex]5x-3y=6...(1)[/tex]
[tex]6x-4y=2...(2)[/tex]
From equation (1), we will get:
[tex]x=\frac{6+3y}{5}[/tex]
Upon substituting this value in equation (2), we will get:
[tex]6(\frac{6+3y}{5})-4y=2[/tex]
[tex]\frac{36+18y}{5}-4y=2[/tex]
[tex]\frac{36+18y}{5}-\frac{5*4y}{5}=2[/tex]
[tex]\frac{36+18y-20y}{5}=2[/tex]
[tex]\frac{36-2y}{5}=2[/tex]
[tex]\frac{36-2y}{5}*5=2*5[/tex]
[tex]36-2y=10[/tex]
[tex]36-36-2y=10-36[/tex]
[tex]-2y=-26[/tex]
[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]
[tex]y=13[/tex]
Upon substituting [tex]y=13[/tex] in equation (1), we will get:
[tex]5x-3(13)=6[/tex]
[tex]5x-39=6[/tex]
[tex]5x-39+39=6+39[/tex]
[tex]5x=45[/tex]
[tex]\frac{5x}{5}=\frac{45}{5}[/tex]
[tex]x=9[/tex]
lori is 3 times as old as 7 more than ron's age if ron is a years old how old is lori
In a right triangle, if the measures of the other two angles are 2x – 5 and 3x + 10, what are the measures of these two angles?
A. 30° & 60°
B. 29° & 61°
C. 50° & 40°
D. 51° & 39°
Answer: B. 29° & 61°
Step-by-step explanation:
i need help with this
Two cable ferries start moving towards each other from shores A and B. When the pass each other for the first time the distance to shore B is 100 meters. Once they reach their destinations and start traveling back at the same time. When they meet for the second time, the distance to shore A is 50 meters. What is the distance between the shores Aand B?
The first meeting point of the ferries represents half of the total roundtrip, while the second meeting point represents a quarter of it. Knowing this proportion and the distances at which the meetings happen, we conclude that the distance between shores A and B is 200 meters.
Explanation:This problem can be solved using rates and proportions. Consider the total round trip of each ferry. The first meeting is at 100 meters from shore B and the second meeting is 50 meters from shore A.
Imagine a full roundtrip travel, from A to B and back to A. When the ferries meet for the first time, they have collectively completed one full round trip (distance A to B and B back to A). At their second meeting, they have collectively made two full round trips.
This means that the first meeting happened at 1/2 of the round trip distance and the second meeting happened at 1/4 of the round trip distance, meaning that the second meeting point was half the distance of the first meeting point. Based on where the second meeting point is (50 meters from shore A), we know that the first meeting point (100 meters from shore B) is twice the distance of the second meeting point from shore A.
Now, we understand the distances as follow: the total distance from shore A to shore B is the sum of the distance from the first meeting point to shore B (100 meters) and twice the distance from the second meeting point to shore A (2*50 meters), which sums up to 200 meters. Therefore, the distance between shores A and B is 200 meters.
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A local company employs a varying number of employees each year, based on its needs. The labor costs for the company include a fixed cost of $41,949.00 each year, and $28,826.00 for each person employed for the year. For the next year, the company projects that labor costs will total $1,483,249.00. How many people does the company intend to employ next year?
Answer:
50
Step-by-step explanation:
Let
x = number of employees each yeary = labor costsThe relationship between x and y can be represented through a linear equation.
y = a . x + b
where,
a is the slope
b is the y-intercept
The slope represents the cost per each person employed, that is, a = $28,826.00/person.
Then,
y = ($28,826.00/person) . x + b
Even if no person is hired (x = 0), there is a fixed cost of $41,949.00 (y = $41,949.00).
$41,949.00 = ($28,826.00/person) . 0 + b
b = $41,949.00
The final equation is
y = ($28,826.00/person) . x + $41,949.00
If the company will spend $1,483,249.00 (y = $1,483,249.00.),
$1,483,249.00 = ($28,826.00/person) . x + $41,949.00
1,441,300 = ($28,826.00/person) . x
x = 50 person (50 people)
The company intends to employ 50 people next year.
An open box with a square base should be constructed. the bottom, should be constructed from a heavy duty cardboard that cost $3 per square inches and the sides from a medium duty cardboard that cost $2 per square inches. if the volume of the box must be 120 cubic inches, what should be the dimensions of the box in order to minimize the cost for the material?
How many different ways can a family visit Philadelphia, Baltimore, and Washington? 3 6 12
Answer:
Answer is 6 ways
Step-by-step explanation:
Given that a family wants to visit three different places as Philadelphia, Baltimore, and Washington.
We have to find the number of ways these three can be visited.
Here this is a question of permutation since order matters.
There are 3 cities and these can be visited in 3P3 ways =3!
=3x2x1 =6 ways
There are in total 6 different ways that the family can visit three different places as Philadelphia, Baltimore, and Washington.
Find the sum of the first 10 terms for the sequence {21, 63, 189, . . . }.
5.2 × 1010
620,004
206,661
2730
The sum of the first 10 terms for the sequence given is 620,004.
What is Geometric sequence?A geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
Given is a geometric sequence, 21, 63, 189, . . . we need to find the sum of the first 10 terms,
Sum of n terms of GP = aₙ = arⁿ-1 / r-1,
a₁ = 21
r = 3
So,
a₁₀ = 21 × 3¹⁰-1 / 3-1
a₁₀ = 21 × 29,524
a₁₀ = 620,004
Hence the sum is 620,004.
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Hey can you please help me posted picture of question
Solve the system using the substitution method
2x+y=6
3x+5y=9
branliest offered
Mary has been $50 to spend on T-shirts from an online store. there is $10 shipping and handling fee and each t-shirt cost $5 which inequality represents the number of t-shirts s Mary can buy the answer choices are 5S + 10 greater than equal to 50, 5S + 10 less than equal to 50, 10s + 5 greater than equal to 50, 10s - 5 greater than equal to 50, 5S - 10 greater than equal to 50
Hey can you please help me posted picture of question
A sandwich shop offers the following toppings. How many two topping sandwiches can you make? -lettuce -tomato -bacon -cheese -mustard
A) 8
B) 10
C) 12
D) 20
Please include steps or explain how you got your answer! :)
The correct answer is: B) 10
Step 1:
To calculate the number of two-topping sandwiches you can make from the given toppings, you can use the combination formula:
[tex]\[C(n, k) = \frac{n!}{k!(n-k)!}\][/tex]
Where:
- [tex]\(n\)[/tex] is the total number of toppings available (5 in this case).
- [tex]\(k\)[/tex] is the number of toppings you want to choose (2 in this case).
- [tex]\(C(n, k)\)[/tex] represents the number of combinations.
Step 2:
Substituting the values:
[tex]\[C(5, 2) = \frac{5!}{2!(5-2)!}\][/tex]
[tex]\[C(5, 2) = \frac{5!}{2!3!}\][/tex]
[tex]\[C(5, 2) = \frac{5 × 4}{2 × 1}\][/tex]
[tex]\[C(5, 2) = \frac{20}{2}\][/tex]
[tex]\[C(5, 2) = 10\][/tex]
So, you can make [tex]\(10\)[/tex] two-topping sandwiches from the given toppings.