Match the following items by evaluating the expression for x = -6.

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro

nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0

2 years ago

Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re

attashe74 [19]

Answer: $\frac{11}{15}$

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

$LCM=5*3=15$

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

$\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}$

7 0

2 years ago

Use a calculator to find the values of the inverse trigonometric functions. Round to the nearest degree. sin–1 = __° tan–1(4) =_

elena-s [515]

Solution:

As 360°= 2 π Radian

1 Radian = $\frac{180 degree}{\pi }$

1. Sin(-1)= Sin ( $\frac{-180 degree}{\pi }$ )

= Sin (-57°16'22")=-0.84147

2. $Tan^{-1}4=Tan(\frac{720}{\pi }})$

= $Tan^{-1}$ (229°54'32")

=75.963757 Degrees

3. $Cos^{-1}(0.1)=Cos^{-1}(\frac{18}{\pi})=Cos^{-1}(\frac{63}{11})=$

= $Cos^{-1}$ (5°43'38")

= 84.26083 Degrees

6 0

2 years ago

Read 2 more answers

George still has 40 percent of his book to read. If George has read 180 pages, how many pages does he still have to read? How do

beks73 [17]

Answer: 72

Step-by-step explanation: so you do a line = line method the lines should look like they are fractions.

you do it for the both numbers the percent is always out of 100.

it should look like this

40% ?

--------- = -----------

100% 180

then you cross multiply 40 and 180 and than divide it by 100. your answer should be 72. you later replace the ? with 72

you know this because It is smaller than 180 and its bigger than the number 40.

5 0

2 years ago

Shanelle already has $137 from babysitting. She needs at least $625 for a new tablet. Which inequality best represents this scen

kap26 [50]

Answer:

t + 137 ≥ 625

Step-by-step explanation:

Shanelle already have in her possession the sum of $137 from babysitting. She requires at least $625 for a new tablet. t is the remaining amount she needs to get the new tablet.

She already has $137 and to get the tablet she needs at least $625 . This means she needs nothing less than or equal to $625 to get the tablet. Recall t is the remaining amount needed to add to what she has to be able to reach the least amount required to purchase a tablet. Therefore , the sum of t and the amount of money already in her possession should be equal to or greater than $625.

To get the new tablet,

t + 137 ≥ 625

5 0

2 years ago