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motikmotik
3 years ago
5

A tank holds 256 gallons but is leaking at a raye of 3 gallons per week.A second water tank holds 384 gallons but is leaking at

a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same?
Mathematics
1 answer:
notka56 [123]3 years ago
5 0
Set the equations equal to each other because you need to find when they will be the same.

256 - 3x = 384 - 5x
Add 5x to each side and subtract 256 from each side to get the variable alone.

2x = 128
Divide by 2.

x = 64
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4 0
3 years ago
Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:
Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

m =  \frac{rise}{run}

m =  \frac{ - 4.5 -  - 3}{2 -  - 4}  =  \frac{ -  1.5}{6}

m =  -  \frac{1}{4}

The y-intercept can be obtained by finding the equation of the line in the form:

y = mx + c

We plug in the slope and the point (-4,-3) to find c.

This implies that,

- 3 =  -  \frac{1}{4}  \times  - 4 + c

- 3 = 1 + c

c =  - 3 - 1 =  - 4

Hence the y-intercept is -4.

The given line is

y =  \frac{3}{2} x + 1

This is already in the slope intercept form:

The slope is

m =  \frac{3}{2}

The y-intercept is c=1

5 0
3 years ago
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Estimate 4.8 x 4.15.
Nonamiya [84]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
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Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Hoochie [10]

Answer:

y = -2x - 6

Step-by-step explanation:

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Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:

y + 8 = -2(x - 1), or

y = -8 - 2x + 2, or

y = -2x - 6 (in slope-intercept form)

6 0
3 years ago
How to do the monomials
Cerrena [4.2K]

<u>Given</u>:

The given monomial expression is \frac{16 y^{8}}{4 y^{2}}

We need to simplify the given monomial expression.

<u>Simplification:</u>

Let us simplify the given expression.

Dividing the numbers 16 and 4, we get;

\frac{4 y^{8}}{y^{2}}

Let us apply the exponent rule  \frac{x^{a}}{x^{b}}=x^{a-b} in the above expression.

Thus, we get;

4 y^{8-2}

Subtracting the numbers in the numerator of the above expression, we get;

4 y^{6}

Thus, the simplified expression is 4 y^{6}

8 0
3 years ago
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