Answer:
Given the following information, your system of equation is going to be...
x + y = 250
15x + 20y = 4250
Step-by-step explanation:
So, in the problem, we are given important key details that can help us solve it.
- x = number of $15 packages sold
- y = number of $20 packages sold
- The school collected $4250 from sales
- 250 packages were sold in total
Now that we have this information, we can solve the problem. Since 250 packages were sold in total, then you are going to add x and y. Since the school collected $4250 from the sales, then you are going to be adding 15x and 20y together.
So, to conclude, your answer is going to be the first answer choice.
Answer:
h = 16x
Step-by-step explanation:
The volume of a sphere and a cone is same such that,
We have, r = x, R = (1/2)x, h= ? (height of the cone)
So,
So, the height of the cone is equal to 16x.
First, let's calculate the triangles of the prism.
The area of a triangle is base times height, then divide by 2.
So:
(7*8)/2.
This would give us 28.
Also knowing that there are two triangles on the prism, we have to multiply 28 by 2. This would give us 56.
Now, for the rectangles, we have to find their areas.
The area of a rectangle is length times width. So this would give us:
8*16.
This equals 128.
Next, knowing that there are three rectangles, multiply 128 by three. This gives us 384.
Now, we jus have to add all the areas together:
384+56 = 440
So the prism's surface area is 440cm^2
Hope this helps. If you have any questions, please put them in the comments below.
This is the question:
A
bicycle manufacturing company makes a particular type of bike.
Each
child bike requires 4 hours to build and 4 hours to test.
Each
adult bike requires 6 hours to build and 4 hours to test.
With
the number of workers, the company is able to have up to 120 hours of building
time and
100 hours of testing time for a week.
If
c represents child bikes and a represents adult bikes,
determine
which system of inequality best explains whether the company can build 10 child
bikes and 12 adult bikes in the week
Now you
can state the system of inequalities from the statements
1) First inequality based on the hours availble
to buiding
Each
child bike requires 4 hours, e<span>ach
adult bike requires 6 hours to build and </span>the company is able to have up to 120 hours of building =>
4c + 6a ≤ 120
2) Second inequality based of the hours available to testing.
Each
child bike requires 4 hours to test, each
adult bike 4 hours to test and the company is able to have up 100 hours of testing time for a week =>
4c + 4a ≤ 100
Then the two inequalities are:
4c + 6a ≤ 1204c + 4a ≤ 100<span>
The answer is Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100Which you can verify by replacing in both equations 10 for c and 12 for a. Look:
1) 4(10) + 6(12) = 40 + 72 = 112 ≤ 1202) 4(10) + 4(12) = 40 + 48 = 88 ≤ 100</span>
The correct answer would be B. Sexual reproduction does infact create more variation in plants.
