11) 2x+6y-3; x=5,y=4
the question is asking to evaluate for y when x=5 and evaluate for x when y=4,
2x+6y-3
2x+6y=3
2(5)+6y=3
10+6y=3
6y=3-10
y=-7/6 when x=5
2x+6(4)=3
2x+24=3
2x=3-24
x=-21/2 when y=4
12)
Input Output
N 4(n+3)
12 4(12+3) = 4(15)=60
14 4(14+3)=4(17)=68
18 4(18+3)=4(21)=84
25 4(25+3)=4(28)=112
13)8x+y-10; x=4, y=50
8x+y=10
8(4)+y=10
32+y=10
y=10-32
y=-22 when x=4
8x+50=10
8x=10-50
8x=-40
x=-40/8
×=-5/1=-5 when y=50
14) b is correct
15)c is correct
16) c is correct
If you need explanations on these questions, message me.
Answer:
$91.67.
Step-by-step explanation:
We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.
A. Let us find area covered by nylon by multiplying 10 by 8.


Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.


Therefore, the cost of nylon cover will be $46.67.
B. Now let us find length of rope by finding the perimeter of the garden.



Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.


Therefore, the cost of rope will be $45.
To find the total cost to make the cover we will add cost of nylon cover and cost of rope.


Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.
Answer:
20
Step-by-step explanation:
What you would do is multiply 10 and 2 and get 20
Please mark me brainliest
Answer:
A) 4 students
B) 32.5%
C) 19/40
Step-by-step explanation:
Using set notation to solve the problem with universal set n(U) = 40
Let n(A) be the number of students that pass account
n(E) be the number of students that pass economics
n(M) be the number of students that pass mathematics
n(AUEUM)' be number of students that failed in all the 3 subjects.
n(AUEUM) be number of students that pass in all the 3 subjects.
n(U) = n(AUEUM)+ n(AUEUM)'
Find the remaining solution in the attachment
In this problem you will need to use the Pythagorean theorem (c^2=a^2+b^2).
The a and b represents the two edges, while c is the diagonal side and it is called the hypotenuse. Since you already know what the hypotenuse is and what one of the sides already are you just have to use the problem: c^2-a^2=b^2. Then if you plug the data you already have into the problem you will get 10^2-6^2=b^2. That then equals 100-36=b^2. Then you subtract and get b^2=64. Then you square root both sides and you get the answer b=8.