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EastWind [94]
3 years ago
8

You have 5 cups of birdseed. You use 3/5, cup of birdseed each day. How many days will your birdseed last?

Mathematics
1 answer:
german3 years ago
6 0

The bird seed will last for 8 days

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What is 1/10th of 2,871,000?
abruzzese [7]
This is fairly simple. Divide 2,871,000 by 10 and that's your answer!

\frac{2,871,000}{10} =287,100

Also, since you're dividing by a factor of 10 (or in this case, <em>10</em>) you can just take away as many places as are zeros in the number you're dividing from. This works for <em>10, 100, 1,000, 10,000, etc. </em>In this case, since there is only one zero in 10 you only take away one place marking, which gives you 287,100.
7 0
3 years ago
arthur wants to buy an item that costs p dollars before tax. using a 6% sales tax rate, write two different expressions that rep
Mkey [24]

For this case we have the following variable:

p: cost of the item that Arthur wants to buy before tax

The expression for the 6% tax is given by:

\frac{6}{100} p

Or equivalently:

0.06p

Therefore, two different expressions for the total cost are:

Expression 1:

p + \frac{6}{100} p

Expression 2:

p + 0.06p

To prove that they are equal, suppose that the item costs $ 100:

Expression 1:

p + \frac{6}{100} p

100+ \frac{6}{100} 100

100 + 6

106

Expression 2:

p + 0.06p

100 + 0.06 (100)

100 + 6

106

Since the cost is the same, then the expressions are the same.

Answer:

Two different expressions that model the problem are:

p + \frac{6}{100} p

p + 0.06p

8 0
3 years ago
The manufacturer of a CD player has found that the revenue R​ (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com
AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

R(p) = -5p^2 + 1550p

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550

Equating the first derivative to zero, we get,

\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155

Again differentiation R(p), with respect to p, we get,

\dfrac{d^2(R(p))}{dp^2} = -10

At p = 155

\dfrac{d^2(R(p))}{dp^2} < 0

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

R(155) = -5(155)^2 + 1550(155) = 120125

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

6 0
3 years ago
The model shows the expression 20 + 16. Which expression is equivalent to this sum?
Natali5045456 [20]

Answer:

4(5+4)

Step-by-step explanation:

4(5+4) equals 36, and 20 + 16 equals 36 as well, so therefore 20 + 16 is equivalent to 4(5+4)

4 0
3 years ago
Read 2 more answers
Which pair of numbers are opposites?<br> A. 7 and –7<br> B. 4 and <br> C. 9 and <br> D. 7 and 49
NARA [144]

Answer:

A

Step-by-step explanation:

7 and -7 are the opposite on the number line

7 0
2 years ago
Read 2 more answers
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