Hello! Natalie earns a fixed amount of $43 per day. She earns $3 more every toy she sells. Basically, you can set up this equation as 43 + 3n >= 70. This is because she wants to make a least $70 and earns $3 each for "n" toys that she sells. When you solve the inequality, the answer is 9. Subtract 43 from both sides to get 3n >= 37 and divide by 3 to get n >= 9. The answer is A.
100 percent / 6 =16.6 reoccurring times 5 = 83.3 reocurring
Answer:
B. 200 cubic feet
Step-by-step explanation:
There are two prisms: the triangular prism and the rectangular prism
first lets start with the triangular one:
remember that for a right triangular prism (this one), the area is 1/2 x base x height x length
another way to think about it is to find the area of the triangle and then multiply that by the thickness
The base is 4 feet and the height is the same as the rectangular prism, which is 5
and the length is 4 ft (same as rectangular prism)
so 1/2 x 4 x 5 x 4 is 40
next lets do the rectangular prism
remember the volume is length x width x height
8 x 4 x 5 = 160
now we simply add the volume of the two prisms
40 + 160 = 200
and there's you're answer :)
hope that helps!
Step-by-step explanation:
step 1. (1) 5a +8c +4p = 57
(2) 9a +8c + 7p = 89
(3) 8a + 4c + 5p = 68.
step 2. this is a 3 variable system. solve the system.
step 3. eliminate c from (1) and (2) and also from (2) and (3). so you now have 4a + 3p = 32 and 7a + 3p = 47. now you have a two variable system
step 4. eliminate p by subtracting: 3a = 15 so a = 5.
step 5. if a = 5 then p = 4 ( plug into step 3)
step 6. if a = 5, p = 4, then c = 2 (plug into step 1).
step 7. apples = 5, pears = 4, cherries = 2.
If
, then you can find partial derivatives:
.
At point A(-3,2,5) (this is the point which lies on the surface, because
) these derivatives have values:
-- the slopes at x and y- directions, respectively.
