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oee [108]
2 years ago
7

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit

on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
1.Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

<u>Answer:</u>

y = -\frac{2}{3}x + 490

gradient = = -\frac{2}{3}

y-intercept = 490

<u>Step-by-step explanation:</u>

• The slope-intercept form of an equation takes the general form:

\boxed{y = mx + c},

where:

m = slope,

c = y-intercept.

• We are given the equation:

2x + 3y = 1470

To change this into the slope-intercept form, we must make y the subject:

3y = -2x + 1470          [subtract 2x from both sides]

⇒ y = -\frac{2}{3}x + \frac{1479}{3}        [divide both sides by 3]

⇒ y = -\frac{2}{3}x + 490

• Comparing this equation with the general form equation, we see that:

m = -\frac{2}{3}

c = 490.

This means that the gradient is \bf -\frac{2}{3}, and the y-intercept is \bf 490.

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What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24
almond37 [142]

Answer:

The fraction is \frac{9}{15}

Step-by-step explanation:

\frac{36}{60} = \frac{x}{y}

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So  \frac{x}{y} = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is \frac{9}{15}

5 0
3 years ago
Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation o
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Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

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3 years ago
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