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.2) Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.3) Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.4) Graph the function. On the graph, make sure to label the intercepts. 5) Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answer:

A. Negative reciprocals

Answer:

C. 12

Step-by-step explanation:

Answer:

height= 3cm

Step-by-step explanation:

to find the base of each triangle just half the bottom to get 4cm

a^2+b^2=c^2

a^2+4^2=5^2

a^2+16=25

a^2=9

a=√9

a=3

Answer:

4x+7=23

4.4+7=23

Step-by-step explanation:

23-7=16

16/4=4

The algebra tiles used in the equation 4x + 7 = 23 are four x-tiles, seven unit tiles, and 23 unit tiles.

To model the equation 4x + 7 = 23 using algebra tiles, we would use variable tiles (x-tiles) and unit tiles.

For the term 4x, we would use four x-tiles since the coefficient is 4.

For the term 7, we would use seven unit tiles since it is a constant.

The equal sign (=) does not have a specific tile representation; it simply indicates the equation's balance.

On the other side of the equation, for the term 23, we would represent it using 23 unit tiles.

So, the algebra tiles used in this equation would be four x-tiles, seven unit tiles, and 23 unit tiles.

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Answer:

Yes, -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent expressions. When simplified, both expressions can be written as -5m+4. This can be verified by substituting different values for m in both expressions and then simplifying the expressions. By doing so, the same result of -5m+4 will be obtained for both expressions indicating that they are equivalent

Step-by-step explanation:

Answer: -2and^2*(2m-1)^2

Step-by-step explanation: Step by Step Solution

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Reformatting the input :

Changes made to your input should not affect the solution:

(1): "d2"   was replaced by   "d^2".

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

     1

 ((((—•(12m-6))•a)•n)•d2)•(1-2m)

     3

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  12m - 6  =   6 • (2m - 1)

Equation at the end of step

3

:

 (((2•(2m-1)•a)•n)•d2)•(1-2m)

STEP

4

:

Equation at the end of step 4

 ((2a • (2m - 1) • n) • d2) • (1 - 2m)

STEP

5

:

Equation at the end of step 5

 (2an • (2m - 1) • d2) • (1 - 2m)

STEP

6

:

Equation at the end of step 6

 2and2 • (2m - 1) • (1 - 2m)

STEP

7

:

7.1    Rewrite   (1-2m)    as  (-1) •  (2m-1)

Multiplying Exponential Expressions:

7.2    Multiply  (2m-1)  by  (2m-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2m-1)  and the exponents are :

         1 , as  (2m-1)  is the same number as  (2m-1)1

and   1 , as  (2m-1)  is the same number as  (2m-1)1

The product is therefore,  (2m-1)(1+1) = (2m-1)2

Final result :

 -2and2 • (2m - 1)2

A salesman earns $490 as commission on his sales.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a salesman earns 7% commission on all the merchandise that he sells.

Last month he sold $7000 worth of merchandise.

Now, the commission is 7% of 7000

7/100 ×7000

= 0.07×7000

= $490

Therefore, a salesman earns $490.

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The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:

about 22.85 years but if we round that its approximentaly 23 years in total

Step-by-step explanation:

0w0

Answer:

23

Step-by-step explanation:

The total number of rows in the Theater after 125 seats are added is 60 rows.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The Outdoor theater currently has 1,375 seats.

If we add 125 new seats then the number of seats are

= 1375 + 125

= 1500

Each row have 25 seats in one row.

Then, the total number of rows in Theater

= 1500/25

= 60 rows.

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Answer:

See below.

Step-by-step explanation:

STEP 1:  If you write the given terms all with denominators of 16, they are 28/16, 25/16, 22/16, 19/16, __, ____, ____, 7/16, 4/16.

STEP 2: The terms decrease by 3/16 for each step.

RULE: Term 1 = 7/4 and term (n + 1) = term 'n' - 3/16

The operation for increasing by the same amount every step is addition.

The operation for decreasing by the same amount every step is subtraction.

STEP 3: The rule is that the terms decrease by 3/16 at each step.

So the next 3 terms after 19/16 will be 16/16, 13/16, and 10/16.

Reformat them and you have 1, 13/16, 5/8.

So now the completed sequence is 1&3/4, 1&9/16, 1&3/8, 1&3/16, 1, 13/16, 5/8, 7/16, 1/4.

Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to  8²⁺⁵,  8⁷

An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.

When the base is bigger than 1, the exponential function has the following characteristics.

The value of 8².8⁵ is  -

8²⁺⁵

8⁷,

Which is equivalent to 7 times 8.

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Answer:

88°

Step-by-step explanation:

Complementary angles have a sum of 90°, just do 90 - 2 and there's your answer.

Answer:

sqrt299

Step-by-step explanation:

Because the loading dock and the ground are perpendicular we know that they are at a 90° angle. Therefore we can use the equation :

a=5

b= ?

c=18

(Then we can move all of the numbers together but what you do to one side you must do to the other)

 Therefore,

 (Now to make b a single variable we must square root both sides)

 Therefore,

Now with all of these as numbers, we can plug this into a calculator *For all of those who have teachers who need EVERY Step see below I continue

  Where  and

(approximately)

Solution(s):

q11: 5

q12: 36

q13: k=5w+36

q14: The first option

Explanation:

Question in your given image:

Duk collected 36 grams of pebbles for his large yard. He plans to collect an addition 5 kg each week.

For Question #11 and Question #12, based of the question from above we can conclude that the slope is the value 5 and the y-intercept is the value 36.

Question #13 asks us to represent the situation as an equation where "k" represents the total amount of pebbles (in kg) after "w" number of weeks.

This is simply a linear equation and we can use the slope-intercept formula, y=mx+b. Where "m" is the slope and "b" is the y-intercept.

Substitute the values we know into "m" and "b." We would have,

==> y=5x+36

What variables replace x and y? Well x is the input value and we want to input the number of week "w." y is the output value from which we can see the total mass of pebbles so "k" is the correct substitution.

Thus, to answer question #13, k=5w+36.

For the final question we already answered it.

x=input value=w(amount of weeks) and y=output value=k(total pebbles in kg)

170 ..I think I'm correct

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

Answer:

3.  254.34 m      4. 113.04

Step-by-step explanation:

3.14x 9x9                  3.14x6x6

254.34                          113.04

Answer:

slope= 3/4

point on the line = (-3, 1)

Step-by-step explanation:

Given the point-slope equation: y - y1 = m(x - x1),

where:

m = slope

(x1, y1) = point on the line

In your given point-slope equation:

y - 1 = 3/4( x + 3 )

slope (m) = 3/4

and the point on the line is (-3, 1).

If you plug in the given point on the line (-3, 1) and the slope (m = 3/4) in the point-slope form:

y - y1 = m(x - x1)

y - 1 = 3/4(x - (-3))

Then it will become:

y - 1 = 3/4(x + 3) because negative multiplied by a negative will become a positive number.

Therefore, the correct answers are:

slope= 3/4

and the point on the line is (-3, 1).

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Answer:

d. The distribution conforms to a normal distribution.

Step-by-step explanation:

A normal distribution is when data has equal symmetry such that the distribution is not positive skewed nor negative skewed. A normal distribution has zero skewness as mean, median and mode are all equal.

In the above example, the data has a normal distribution because most values lie close to the mean(7.9 percent are less than 38 and 8 percent are more than 66)

Answer: The first 3 are functions. The last one is not a function

Step-by-step explanation: What you can do is the line test. If you draw a line through it, the line shouldn't touch the arrow twice. Like the last one, it touches the line twice, so it is not a function

Answer:A/14/16

Step-by-step explanation:

Answer:

1 3/4 * 2/4

= 7/4 * 2/4

= 7/4 * 1/2

= 7/8

Student t distribution will be used to test the hypothesis that both singers have same average rating.

An inferential statistic called a t-test is used to assess whether the means of two variables differ statistically significantly.

Three basic data values are necessary to calculate a t-test. They consist of the variation in mean values, the standard deviation, and the total amount of data values for each group.

The numerator value is the difference between the two sample sets' means.

The variance present in the sample sets serves as the denominator and serves as a gauge of dispersion or variability.

Then, this determined t-value is contrasted with a figure taken from a critical value table.

A significant difference is shown by higher t-score values. The more similar the two sample sets are, the smaller the t-value.

The given question is incomplete . The complete question is below in the picture.

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Answer:

I personal LOVE Taylor so it might be a bit bias. I like Harry, don't get me wrong.

Taylor Swift is a lyrical genius (even if you don't agree, its facts). I personally think Taylor is better because of her vocabulary in her songs and how she writes her songs. She uses the most hard words, examples, vocals, and lyrics, which she executes flawlessly. She has won so many awards, including 12 Grammys, which 3 of them are for album of the year. Taylor Swift is the music industry.

Have a great day :)

Answer:

option (c) 4

Step-by-step explanation:

sides opposite to equal angles are equal

so ML = MN

that is 4x = x+3

4x - x = 3

3x = 3

x= 1

ML= 4x = 4*1 = 4 units

MN = x+3= 1+3= 4 units

so answer is option (c) 4

hope this answer help you

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

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Answer:

Step-by-step explanation:

7) ∠1  + 30 = 180                {linear pair}

            ∠1 = 180 - 30

            ∠1 = 150

8)  ∠2 = 30    {Vertically opposite angles are congruent}

9) In ΔLMN,

∠L + ∠N + ∠M = 180   {angle sum property of triangle}

50 + 30 + ∠M = 180

       80 + ∠M = 180

                ∠M = 180 - 80

                ∠M = 100°

10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.

∠B + ∠A = ∠BCD

30 +   ∠A = 80

        ∠A  = 80 - 30

      ∠A = 50