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4 years ago

A manatee eats the equivalent of about 12% if it’s body weight each day

1 answer:

8 0

First, write a statement to define your unknown variable. This is technically not essential to solving the problem, but many teachers prefer to see it.

Example: Let w = the manatee's weight in pounds.

Next, decide what the variable needs to be multiplied by. 12% is equal to 0.12. Usually when a problem says "of," it wants you to multiply. Therefore, 12% of the body weight equals 0.12w. Since the problem already says that this is how much the manatee eats every day, that is your answer.

y = 0.12w

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3 years ago

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Answer:

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4 years ago

Please help! And explain the answers too!

RideAnS [48]

1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

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3 years ago

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erastova [34]

To comlete each square, you just have to take the middle term and divide it by 2, then take its square. Add this to both sides of the equation then simplify. The middle term is the 1st degree x variable.

3. x^2+6x =16
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(6/2)^2 = 9
x² + 6x + 9 = 16 + 9
(x + 3)² = 25

4. x^2-10x =11
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(-10/2)² = 25
x² - 10x + 25 = 11 + 25
(x -5)² = 36

5. x^2-9x =0
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(-9/2)² = 81/4
x² - 9x + 81/4 = 81/4
(x - 9/2)² = 81/4

6. x^2+16x =15
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(16/2)² = 64
x² + 16x +64 = 15 + 64
(x + 8)² = 79

7. 3x^2+18x-81=0
----------------
x² + 6x = 27
(6/2)² = 9
x² + 6x + 9 = 27 + 9
(x + 3)² = 36

A polynomial with a general equation of ax² + bx + c = 0 has a root determined using this formula:

$x= \frac{-b \ +/- \ \sqrt{ b^{2}-4ac } }{2a}$

Just substitute the coefficients to the formula to find the roots

8. 1.09, -1.84
9. 3, 1/2
10. No real roots
11. 1.12, -3.12

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3 years ago

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