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2 years ago

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A water tank holds 1,264 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds 1,580 gallons but is

leaking at a rate of 9 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

1 answer:

german2 years ago

4 0

Answer:

the answer is A i think

Step-by-step explanation:

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An electronics manufacturer can produce and sell x MP3 players per week. The total cost C (in dollars) of producing MP3 players

coldgirl [10]

Profit, or the surplus money after your costs are covered, is Revenue - Costs.

so in this case the profit P(x) = R(x) - C(x).

$\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000
\\\\\\
P(x)=42x-35000
\\\\[-0.35em]
~\dotfill\\\\
\stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000
\\\\\\
P(5000)=175000$

7 0

2 years ago

Last year, Mr Salim bought a car for $120 000. This year, he sold it at a discount of 10%. How much did Mr Salim sell his car fo

Nadya [2.5K]

Answer:

$108000

Explanation:

He sold it at a discount 10%

sale price = 100% - discount percentage

100% - 10% = 90%

now the price:

→ $120 000 * 90%

→ 120 000 * $\frac{90}{100}$

→ 1200 * 90

→ $108000

6 0

2 years ago

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E varies directly with the square root of C. If E=40 when C=25 find: E when C= 49

tiny-mole [99]

Answer: E = 56

Step-by-step explanation:

E is proportional to √C

To remove proportionality, introduce a constant (k).

E = k × √C

From question,

E = 40 and C = 25

So,

40 = k ×√25

40 = k × 5

k = 8

Now,

C = 49

k = 8

E = ?

E = k√C

E = 8 × √49

E = 8 × 7

E = 56

6 0

2 years ago

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Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at <u>3 formulas</u>:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

<u>Applying formula (1):</u>

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

<u>Applying formula (2):</u>

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

2 years ago

Logan is going to invest $61,000 and leave it in an account for 20 years. Assuming

hodyreva [135]

Answer:

its 2.62

Step-by-step explanation:

6 0

2 years ago

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