A chef locates a pre-made tuna salad that is nearly identical to the one she makes from scratch in her sandwich shop. To make it from scratch, an $8.25/hour employee needs 20 minutes to prepare the tuna salad. The ingredients cost $12.18 and yield 10 four-ounce servings. The chef can purchase the pre-made tuna salad at $26.99 for a 5# tub. Calculate the cost per portion for the scratch-made and the premade versions. If cost were the only factor, should the chef make or buy this product?

Answer:

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Step-by-step explanation:

Let

n = number of nickels

d = number of dimes

p = number of pennies.

n + d + p = 37

0.05n + 0.10d + 0.01p = 1.55

p = 2d

Substitute p = 2d into the equation

n + d + 2d = 37

0.05n + 0.10d + 0.01(2d) = 1.55

n + 3d = 37

0.05n + 0.10d + 0.02d = 1.55

n + 3d = 37 (1)

0.05n + 0.12d = 1.55 (2)

Multiply (1) by 0.05

0.05n + 0.15d = 1.85

0.05n + 0.12p = 1.55

Subtract

0.15d - 0.12d = 1.85 - 1.55

0.03d = 0.3

d = 0.3/0.03

= 10

d = 10

p = 2d

= 2(10)

p = 20

n + d + p = 37

n + 10 + 20 = 37

n + 30 = 37

n = 37 - 30

n = 7

n = number of nickels = 7

d = number of dimes = 10

p = number of pennies = 20

Answer:

The function is non linear.

Step-by-step explanation:

Answer:

The function is nonlinear

Step-by-step explanation:

I got it wrong when i guessed something else

Answer: its a relation only :))

Step-by-step explanation:  bc of that rule saying that there is only one output for every input there for not a function ( not a one to one function)

Answer:

no, yes, no, no, yes, no

there  you go!

Step-by-step explanation:

Answer:

15 white cubes

Step-by-step explanation:

Given

[tex]White\ Cubes = -1[/tex]

[tex]Black\ Cubes = +1[/tex]

[tex]Number\ of\ Black\ Cubes = 15[/tex]

Required

Determine the number of white cubes needed to represent 0

To solve this question, we make use of the following equation.

[tex]Black\ Cubes +White\ Cubes = 0[/tex]

If there are 15 black cubes, the the 15 black cubes is worth: +1 * 15

Substitute +1 * 15 for the Black Cubes

[tex]+1 * 15 +White\ Cubes =0[/tex]

[tex]+15 +White\ Cubes =0[/tex]

Collect Like Terms

[tex]White\ Cubes = 0 - 15[/tex]

[tex]White\ Cubes = - 15[/tex]

Recall that 1 white cube is worth -1

So, the number of white cubes is:

[tex]Number = \frac{-15}{-1}[/tex]

[tex]Number = 15[/tex]

Hence, the student needs 15 white cubes

Answer: The answer is 27

Given:

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

Answer:

7π mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )

   = π × 3² × [tex]\frac{28}{36}[/tex]

    = 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )

    = π × 7

    = 7π mm²

Answer:

0.0146607657 rad m

Answer:

s = 6, r = 8 or s = 4, r = 7

Step-by-step explanation:

2r - s = 10

2r = 10 + s

r = 5 + s/2 --(1)

rs - s^2 = 12 --(2)

sub (1) into (2):

(5 + s/2)s - s^2 = 12

5s + 0.5s^2 - s^2 = 12

-0.5s^2 + 5s - 12 = 0

s^2 - 10s + 24 = 0

(s - 6)(s - 4) = 0

therefore s = 6 or s = 4

when s = 6, r = 8 and when s = 4, r = 7

if you would like to discover more about simultaneous equations, you can have a look at my Instagram page (learntionary). I'll be posting mathematics related stuff there and some of my notes (simultaneous enq notes are already posted!)

Answer:

Answer: the vase contains 1017.36 inches³ of soil.

Step-by-step explanation:

We would apply thee formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

h represents the height of the cylinder

r represents the radius of the cylinder.

π is a constant whose value is 3.14

From the information given

Diameter = 12 inches

Radius = diameter /2 = 12/2

Radius = 6 inches

Height = 12 inches

Therefore,

Volume of the cylindrical vase =

3.14 × 6² × 12 = 1356.48 inches³

If the vase is filled 3/4 full of soil, then the volume of soil in the vase is

3/4 × 1356.48 = 1017.36 inches³

7 . 3 - 3 . 3

= 21 - 9

= 12

Just substitute you y = 3 into the equation

Answer:

The correct answer is 12.

Step-by-step explanation:

To solve this problem, we must plug in 3 for each occurrence of y in the expression because we are given that y = 3.  In this case, we will get the following:

7y - 3y

7(3) - 3(3)

To evaluate, we must simplify this expression.  Due to the order of operations, we should compute the multiplication first.  7*3 = 21 and 3*3=9, so we can plug in these values into our expression.

21 - 9

Now, we can perform the subtraction.

21-9=12

Therefore, the correct answer is 12.

Hope this helps!

Answer:

bruhhhhh 35 gramsssssssssss

Step-by-step explanation:

its just 175% of 20g

Answer:

C. 48 m

Step-by-step explanation:

The two vertical sides add up to be (8*2) m = 16m.

The two horizontal sides can be added up to (14*2) m = 28m.

(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)

Finally, add the leftover two sides (2*2) m = 4m.

16+28+4 = 48.

Hope this helped!

Answer:

C-48

Step-by-step explanation:

hi , you need to fill in the blanks and then add them all together

Answer:

the answer would be 20

Step-by-step explanation:

so if 18-(-2)=?

two nwgatives make a positive. So the equation would turn into 18+2=20

Im not 100% if this is right but htis is how I was taught to do it.

Answer:

Around 5 tablespoons or to be exact: 5.333333333333333

Step-by-step explanation:

x=−y−2z+3

x=y+32z+1

x=13y+23z+13

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hi

Step-by-step explanation:

Answer:

y= -3/2^2-7x-23/2

Step-by-step explanation:

Answer:

y=-3/2x

Step-by-step explanation:

Answer:

x = 150

Step-by-step explanation:

5 + x ÷ 6 = 30

x / 6 = 30 - 5

x / 6 = 25

x = 25 x 6

x = 150

Answer:

8200+1894.40 = $10,094.40

Step-by-step explanation:

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

Where:

P is the principal amount, $8200.00.

r is the interest rate, 4.4% per year, or in decimal form, 4.4/100=0.044.

t is the time involved, 5.5....year(s) time periods.

So, t is 5.5....year time periods.

To find the simple interest, we multiply 8200 × 0.044 × 5.5 to get that:

The interest is: $1984.40  + add to Investment ($8000) and you'll get the answer.

Answer:

he gain 10%

Step-by-step explanation:

Answer:

He gained 10 lbs which is 13.3 % of 75

Answer:

59.2

Step-by-step explanation:

so each number placement after the decimal is different.

it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth

Answer:

59.2

Step-by-step explanation:

the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more

Answer:

688

Step-by-step explanation:

Answer:

11 and 8

Step-by-step explanation:

11+8=19

11-8=3

Answer:

8 and 11

Step-by-step explanation:

Answer:

4. y = -x + 8

9. y = 3/2x + 15

16. y = 1/2x -5

20. y = -3/5x + 16

13. y = -1/2x + 1

14. y =  3/4x - 2

Step-by-step explanation:

4. 5=3(-1)+b = 8

9. 6=-6(3/2)+b=15

16. [tex]\frac{1--2}{12-6} =\frac{3}{6} = \frac{1}{2}[/tex]

     -2= (1/2)6 + b = -5

20. [tex]\frac{19-13}{-5-5}= -\frac{6}{10} =-\frac{3}{5}[/tex]

     19 = -3/5(-5) + b = 16

Answer:

5^3 is the same thing as 5 x 5 x 5. It equals 125

Answer:

don't cheat

Step-by-step explanation:

no answer for you

Answer: Hi hope your new account doesn't malfunction.