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zysi [14]
3 years ago
7

when solving the following system of equations by substitution what would be a correct first step x=y–7 3x+15y=-1

Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Answer:

The first step is to replace the value of x from the first equation with x in the second equation:

x=y-7

3x+15y=-1

3(y-7)+15y=-1        

3y-21+15y=-1

18y=-1+21

18y=20

y= \frac{20}{18} = \frac{10}{9}

x= \frac{10}{9} - 7

x=- \frac{53}{9}

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Anna71 [15]

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Explanation for each of these problems are in the images below.

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3 years ago
Round the following numbers to the nearest hundredth.
statuscvo [17]

The hundredths place is 2 places to the right of the decimal, so the answers would be

a.  5.160

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6 0
3 years ago
Simplify:7^x+2-9.7^x/20*7^x​
ycow [4]

Given:

The expression is:

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}

It can be written as

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}\cdot 7^{2}-9\cdot 7^x}{-20\times 7^x}

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{7^{x}(49-9)}{-20\times 7^x}

Cancel out the common factors.

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=\dfrac{40}{-20}

\dfrac{7^{x+2}-9\cdot 7^x}{-20\times 7^x}=-2

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3 0
3 years ago
128 times 72
Eduardwww [97]

Answer:

9216

Step-by-step explanation:

  5

1 1

128

x72

_____

    256

+ 8960

______

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6 0
3 years ago
A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g (/), is proportional to the number of
olga55 [171]

Answer:

The constant of proportionality = k = 2/5

Step-by-step explanation:

  • Given that a garden hose fills a 2-gallon bucket in 5 seconds.

Also given that The number of gallons, g (/), is proportional to the number of

seconds, t (x).

i.e.

g ∝ t

g = k × t

k = g / t

as

g = 2

t = 5

Thus,

k = g / t

  = 2 / 5

Thus, the constant of proportionality = k = 2/5

3 0
3 years ago
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