Complete question:
Which equation accurately represents this statement? Check all that apply.
Negative 3 less than 4.9 times a number, x, is the same as 12.8
A: -3-4.9x=12.8
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
D: (4.9-3)x=12.8
E: 12.8=4.9x+3
Answer:
B: 4.9x-(-3)=12.8
C: 3+4.9x=12.8
E: 12.8=4.9x+3
Step-by-step explanation:
The word equation can be expressed mathematically as follows
negative 3 → -3
less than 4.9 times a number , x → 4.9 x - (-3)
is same as 12.8 → 4.9 x - (-3) = 12.8
The equation can be expressed as
4.9 x - (-3) = 12.8
when you open the bracket, you multiply -3 time - 1 . MInus times minus is equals to plus. so you get
4.9 x + 3 = 12.8
12.8 = 4.9x+3
Answer:
dx/dt = 0,04 m/sec
Step-by-step explanation:
Area of the circle is:
A(c) =π*x² where x is a radius of the circle
Applying differentiation in relation to time we get:
dA(c)/dt = π*2*x* dx/dt
In this equation we know:
dA(c)/dt = 0,5 m²/sec
And are looking for dx/dt then
0,5 = 2*π*x*dx/dt when the area of the sheet is 12 m² (1)
When A(c) = 12 m² x = ??
A(c) = 12 = π*x² ⇒ 12 = 3.14* x² ⇒ 12/3.14 = x²
x² = 3,82 ⇒ x = √3,82 ⇒ x = 1,954 m
Finally plugging ths value in equation (1)
0,5 = 6,28*1,954*dx/dt
dx/dt = 0,5 /12.28
dx/dt = 0,04 m/sec
Answer:
x = 1, y = 60
Step-by-step explanation:
Value of new-releases (x) = $20 each
Value of classic (y) = $8 each
Total budget = $500
Equation : 20x + 8y = 500
The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.
Lets assume the librarian buys at least one new-release DVD.
x=1
20x + 8y = 500
8y + 20(1) = 500
y = 60
<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>
!!
Answer: 6 hours
Step-by-step explanation:
Given, Tim and Jim are working on a school project together.
Tim takes 10 hours to complete the school project.
If Jim worked alone, it would take him 15 hours
Let t be the time they both take if they work together.
Then, 
So, it will take<u> 6 hours</u> to complete the school project together .
Answer:
19219.48
Step-by-step explanation:
16540x0.162+16540
