A small business has three employees who decorate pastries. Carlotta earns $13 per hour and decorates
19 pastries each hour. James earns $16 per hour and decorates 23 pastries each hour. Melissa earns $11
per hour and decorates 15 pastries each hour (she’s a new hire). In one week, the employees worked a
total of 100 hours, decorated 1868 pastries, and earned a total of $1316 in wages.


Define your variables and write a system of 3 equations

Answer:

14

Step-by-step explanation:

Answer:

4b +3

Step-by-step explanation:

you would replace f(x) with f(2b), so

f(2b) = 2(2b)+3

4b +3

Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

Answer:

x=0.2, y=6

Step-by-step explanation:

Since y=20x+2, 5x+y=7 => 5x + (20x +2 ) = 7

                                                     25x + 2 = 7

                                                           25x = 5

                                                                x = 0.2

so y = 20x + 2 = 20* 0.2 +2 = 4 + 2 = 6

so the final solution is [tex]\left \{ {{y=6} \atop {x=0.2}} \right.[/tex]

The values of x and y for the given simultaneous equation are;

x = 0.2 and y = 6

We are given 2 simultaneous equations;

5x + y = 7   ---(eq 1)

20x + 2 = y   ----(eq 2)

Put 20x + 2 for y in eq 1;

5x + 20x + 2 = 7

25x + 2 = 7

25x = 7 - 2

25x = 5

x = 5/25

x = 0.2

Put 0.2 for x in eq 2 to get;

20(0.2) + 2 = y

4 + 2 = y

y = 6

In conclusion, the values of x and y are x = 0.2 and y = 6.

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Answer:

23

Step-by-step explanation:

Answer:

c.)2 g/ml

Step-by-step explanation:

Given:

Mass of block = 12 g

Volume of block = 6 ml

Required:

Density of the block

SOLUTION:

Density is given as the mass of the block per unit volume.

Thus, density = mass/volume

Density of block = [tex] \frac{12 g}{6 ml} [/tex]

= 2 g/ml.

The answer is c. 2 g/ml.

Answer:

Irrational

Rational

Rational

Rational

Irrational

Step-by-step explanation:

f(x) = [tex]\frac{2x + 7 - x^2}{4}[/tex]

f(2) just means we substitute 2 in for x.

f(2) = [tex]\frac{2(2) + 7 - (2)^2}{4}[/tex] = [tex]\frac{4 + 7 - 4}{4}[/tex] = [tex]\frac{7}{4}[/tex]

Answer:

-10, -3,  5, 16

Step-by-step explanation:

even though the negative number (10) might seem big, but its not

Answer:

-10,-3,5,16

Step-by-step explanation:

-10 is 10 times smaller than 1

-3 is 3 times smaller than 1

5 is 5 times bigger than 1

16 is 16 times bigger than 1

Answer: y =5(5)-3

5*5=25-3 =22  ANSWER IS y=22

Answer:

Trailer Park Boys I believe

Answer:

trailer park boys i think

Step-by-step explanation:

Answer:

account for the majority of O-rings produced, namely Nitrile, EPDM and ... For the most current information, contact the O-Ring Division. ... O-ring resulting in “nibbling” (see Zatkoff Product catalog, ... 72 0,23. 30 0,25. 89 0,25. 47 0,25. 07 0,25. 64 0,25. 24 0,25. 82 0,30. 42 0,30. 99 0, ... JASO-1016 ... R12,5-591 ... R26,5-605.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

R;2 B;1 P;

Step-by-step explanation:

R is red there are 2 reds

B is blue there are 1 blues

P is purple there are 1 purples

9514 1404 393

Answer:

Step-by-step explanation:

You know the general term of an AP is ...

  an = a1 +d(n-1)

Here, a1 = k. The common difference is ...

  2k/3 -k = -k/3

So, the general term is ...

  an = k +(k/3)(n -1) . . . . the general term

__

The 6th term is then ...

  a6 = k + (k/3)(6 -1) = (3k +5k)/3 = 8k/3 . . . . 6th term

__

The 20th term is ...

  a20 = k + (k/3)(20 -1) = 22k/3

If this is 15, then the value of k is ...

  22k/3 = 15

  22k = 45

  k = 45/22 . . . . value of k for a20 = 15

Answer:

x= -1.22

Step-by-step explanation:

I think in this case you would be solving for x. So, to start you would expand the 2 out to the (x-3). That would give you 2x-6. Then you would expand the 7 out to the (x+2). That would give you 7x+14. You would then be left with       2x-3+7x+14. You would then combine like terms and get 9x+11. To solve for x you would subtract 11 leaving you with 9x= -11. From there you would divide -11 by 9 and get x= -1.22.

Have a wonderful day!! :)

Answer:

15

Step-by-step explanation:

Order of operations: Parentheses, Exponents, Multiplication, Division, Addition/Subtraction

We'll start with division first. 10/2 = 5, 3/3 = 1

Then, we'll add the terms left. 5 + 3 + 6 + 1 = 15

Answer:

[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]

Step-by-step explanation:

[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]

[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]

[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]

[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]

Answer:

coefficient

Step-by-step explanation:

Answer:

$100 if you are trying to find the nearest hundreth.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just plug in 3 to x and solve

Answer:

5.1% chance

Step-by-step explanation:

Answer:

What

Step-by-step explanation: what i dont andestod

Answer:

please I need help......gjmtjmgj?hi?tmzdthwyriyotul!tkht

Answer:

D.  If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on about 35% of the time.

This is the right answer

Edge 2020

If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on  about [tex]35\%[/tex] of the time.

Probability refers to the branch of mathematics regarding numerical descriptions of how likely an event is to occur. The probability of an event is a number between [tex]\boldsymbol{0}[/tex] and [tex]\boldsymbol{1}[/tex]

[tex]0[/tex] indicates impossibility of the event and [tex]1[/tex] indicates certainty.

If Jackson turns on his favorite TV station at a randomly selected time, the probability that the current show will be on is that ''If you take a very large sample of the times Jackson tunes in to his favorite TV station, a commercial will be on  about [tex]35\%[/tex] of the time.''

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Answer:

y = 40°

Step-by-step explanation:

Hi !

2y + (y + 10) + 50° = 180°

3y = 180° - 50° - 10°

3y = 120°

y = 120° ÷ 3

y = 40°

Good luck !

Step-by-step explanation:

This is a geometric series, where the first term is -5 and the common ratio is -⅔.

aₙ = -5 (-⅔)ⁿ⁻¹

Answer:

258m

Step-by-step explanation:

This is a guess, if you could, please post your answer again, but this time click the paperclip icon, and add a screenshot of the figure!

Answer:

(3,4)

Step-by-step explanation:

Answer:

i think it is -1/2

Answer:

[tex] -\dfrac{13}{18} [/tex]

Step-by-step explanation:

[tex] -\dfrac{8}{9} - (-\dfrac{1}{6}) = [/tex]

[tex] = -\dfrac{8}{9} + \dfrac{1}{6} [/tex]

[tex] = -\dfrac{16}{18} + \dfrac{3}{18} [/tex]

[tex] = -\dfrac{13}{18} [/tex]