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Mars2501 [29]
3 years ago
15

At a different store, a dressmaker spent $16.45 on 2.5 yards of silk and cotton. Write the system of equations that represents t

his situation. You do not have to solve it, just write the equations.
Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Answer:

Step-by-step explanation:

The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.

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A large koi pond is filled from a garden hose at the rate of 12 gal/min. Initially, the pond contains 200 gal of water.
Semmy [17]

a) The linear function that models the amount of water after t minutes is given by:

V(t) = 200 + 12t

b) It takes 92 minutes to completely fill the pond.

Item a:

  • Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
  • Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.

Then, the function is:

V(t) = 200 + 12t

Item b:

It takes t minutes to fill the pond, t is found for which:

V(t) = 1304

Then

200 + 12t = 1304

12t = 1104

t = \frac{1104}{12}

t = 92

It takes 92 minutes to completely fill the pond.

A similar problem is given at brainly.com/question/16302622

3 0
3 years ago
If the r-value, or correlation coefficient, of a data set is 0.926, what is the
n200080 [17]

Answer:

D. 0.857

Step-by-step explanation:

The coefficient of determination, R-squared, is simply the square of the  correlation coefficient;

R-squared = r^2

R-squared = 0.926^2

R-squared = 0.857

Therefore, the coefficient of determination is 0.857.

4 0
4 years ago
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6 0
3 years ago
Factor x2 + 16 completely.
Dmitry_Shevchenko [17]
<h3>Answer:</h3>

Prime

<h3>Solution:</h3>
  • Let's factor this expression.
  • x^2+16
  • The expression is prime.
  • Let's see why all the other options are wrong.
  • Option A) (x+4)(x+4)
  • x*x
  • x*4
  • 4*x
  • 4*4
  • This makes x^2+8x+16, not x^2+16.

Hope it helps.

Do comment if you have any query.

6 0
3 years ago
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Which expression is equivalent to |15| + |3|?<br> -8<br> -2<br> 2<br> 8
Snezhnost [94]

Answer:

15+3=18

Step-by-step explanation:

None of the above

4 0
3 years ago
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