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Maru [420]
1 year ago
7

A store sells a certain tile for $2 per tile and a pint of paint for $3. A second store sells the same items for $1 per tile and

$4 per pint of paint. Ari bought the same number of tiles and pints of paint at both stores, costing him $26 at the first store and $18 at the second store, before tax. Which system of equations can be used to find the number of tiles, x, and the number of pints of paint, y, that Ari bought at each store? A system of equations. 3 x plus 4 y equals 18. X plus 2 y equals 26. A system of equations. X plus 3 y equals 18. 2 x plus 4 y equals 26. A system of equations. 2 x plus 3 y equals 26. X plus 4 y equals 18. A system of equations. 3 x plus 2 y equals 26. 4 x plus y equals 18.
Mathematics
1 answer:
andreev551 [17]1 year ago
7 0

Answer:

2 x plus 3 y equals 26. X plus 4 y equals 18

Step-by-step explanation:

Number of tiles, = x

Number of pints of paint, = y

Store 1:

Cost per tile = $2 ; cost per pint = $3 ; total cost = $26

Store 2 :

Cost per tile = $1 ; cost per pint = $4 ; total cost = $18

System of equation:

2x + 3y = 26 - - - (1)

x + 4y = 18 - - - - - (2)

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You would have 171,008 lbs. of dog food. Because 512 pounds times 334 bags equals 171,008lbs. 
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2 years ago
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Juanita wants to perform row operations on the augmented matrix for the system below (See pictures). Which matrix should Juanita
Artist 52 [7]

Answer:

The second option

Step-by-step explanation:

The given system of equation is

x+2y=3

-x+y+z=2

y-2z=-3

The augment matrix is obtained by combining the coefficient matrix with the constant matrix to obtain;

\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]

Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.

The correct choice is the second option.

5 0
2 years ago
Estimate the value of 50.75 x 0.18<br> Estimate the value of 196 divided by 0.499
DIA [1.3K]
<span>This question is a simple one. To answer this question, you need to understand the description in the question and determine to multiply or divide the number.

The first problem would be:
50.75 x 0.18= 9.135
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The second problem would be:
196 / 0.499: 392.785 
If you need to estimate, 0.499 is near 0.5 then 196/0.5 would be 392</span>
3 0
2 years ago
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You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The
Leona [35]

Answer:

B. 0.478

Step-by-step explanation:

3 0
2 years ago
The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci
Olenka [21]

Answer:

The correct answer is

(0.0128, 0.0532)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

4 0
1 year ago
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