1) Perimeter=2length+2width
This is the formula for finding the perimeter of a rectangle
2) Density=mass/volume
The “Quotient” is the answer to a division problem (like how the “sum” is the answer to an addition problem) which is why we know to divide mass and volume
3) Force = mass*acceleration
The “product” is the answer to a multiplication problem which is why we know to multiply mass and acceleration
4) surface area = 6*L^2
The formula used to calculate the area of a square is L^2. The problem tells us that surface area is the sum of all the faces of a 3D shape. Because there are 6 sides on a cube, we multiply L^2 by 6.
Hope this helps!
Hey! the answer is 8 dimes and 4 nickels
8 dimes = 8×10
and 4 nickels = 5×4 = 20
which 20+80 = 100
and I would put (D) break into parts
hope it helps!
Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
Answer:
Marci is the faster runner.
Step-by-step explanation:
Sandi can run 348 cm in a second. Let's find out how many cm she can run in a minute: in a minute there are 60 seconds. So lets multiply 348cm times 60, this gives you 20,880. That is how much she travels in a minute, now let's find out how much she runs in an hour: if she runs 20,880 cm in an minute and there are 60 minutes in an hour, then all you have to do is multiply 20,880 times 60, this gives you 1,252,800. That is how many cm she runs in an hour. Now let's change from cm to miles. There are 160,934 cm in a mile. If we divide 1,252,800 by 160,934 this will give you
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
