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kumpel [21]
3 years ago
6

Combining like terms with negative coefficients

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

you add them, but keep the sign

Step-by-step explanation:

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A fence must be built to enclose a rectangular area of 20,000 ftsquared. fencing material costs $ 1 per foot for the two sides f
Simora [160]
The total cost of the least expensive fence would be $800.

To minimize perimeter and maximize area we take factors that are as close to equal as possible.  In this case, the closest whole number factors are 200 and 100.  Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.

100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.

200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides

$400 + $400 = $800
6 0
3 years ago
Find the value of x
Doss [256]

Answer:

x = 40

Step-by-step explanation:

The three angles in a triangle add to 180 degrees

x + 30 + (3x-10) = 180

Combine like terms

4x +20 = 180

Subtract 20 from each side

4x+20-20 = 180-20

4x= 160

Divide each side by 4

4x/4 =160/4

x = 40

8 0
3 years ago
Connor took out a 4 year loan to buy a car at a 4% simple interest rate. if he has to pay $240 in interest, how much principal d
uysha [10]

Answer:

The principal borrow for loan is $1,500 .

Step-by-step explanation:

Given as :

The interest paid on simple interest = s.i = $240

The rate of simple interest applied = r = 4%

The time period for loan = t = 4 years

Let The principal borrow = $p

Now,<u> from Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or. s.i = \dfrac{\textrm p\times \textrm r\times \textrm t}{100}

Or, $240 = \dfrac{\textrm p\times \textrm 4\times \textrm 4}{100}

Or, $240 × 100 = 16 × p

Or, $24000 = 16 × p

∴ p = \dfrac{24000}{16}

i.e p = $1,500

So, The principal borrow for loan = p = $1,500

Hence, The principal borrow for loan is $1,500 . Answer

3 0
3 years ago
For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, explain.
VashaNatasha [74]

you have to multiply by -3

so the answers are going to be one negative one positive

and the next 5th terms are 108,-324,972,-2916,8748


7 0
3 years ago
Read 2 more answers
TAKE ANY UNMARKED BOWL OR GLASS AND FILL IT EXACTLY 3/5 FULL WITH WATER.
Wittaler [7]

Answer:

Take a glass, and fill it completely with water.

Now, pour that water in a marked bowl and measure how much water is in the bowl, that amount of water will be 100% of the total water that the glass can have.

Now you need to pour 3/5 of the water back in the glass, it is easier for water until the water in the bowl is exactly 2/5 of the initial amount.

You can do this as follows.

2/5 = 0.4 or 40% in percentage form.

Then if the amount of water in the marked bowl is A, the amount of water that must remain in the marked bowl is A*0.4

Then drop the water in the glass until the water in the marked bowl is the quantity that you found previously.

In this way, you can be sure that the glass is 3/5 full of water.

8 0
3 years ago
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