5. Carlos and Mike are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Carlos sold 1 pecan cheesecake and 4 apple cheesecakes for a total
of $44. Mike sold 14 pecan cheesecakes and 14 apple cheesecakes for a total of $238. Find the cost
each of one pecan cheesecake and one apple cheesecake.
a. Define variables:
b. System:
c. Solve the systems (optional):

Answers

Answer 1

Answer:

One pecan costs $8. One apple costs $9.

Step-by-step explanation:

p and a are number of number of pecan and apple sold, respectively.

:::::

"1 pecan cheesecake and 4 apple cheesecakes for $44"

p + 4a = 44

"14 pecan cheesecakes and 14 apple cheesecakes for $238"

14p + 14a = 238

You have a system of two equations in two unknowns:

p + 4a = 44

14p + 14a = 238

:::::

Eliminate the p terms: Multiply the first equation by -14, then add the product to the second equation.

-14p  - 56a = -616

 14p + 14a = 238

------------------------

  -42a = -378

a = (-378)/(-42) = 9

p = 44-4a = 8

One pecan costs $8. One apple costs $9.


Related Questions

How much longer is a 1-inch button than a 3/8 inch button? Thxs

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Answer:

5/8 an inch

im pretty sure

if im wrong im SO SORRY

Answer: 1 inch would be 5/8 inch longer than 3/8 inch.

Step-by-step explanation:

1 inch button is 58 times longer than 38 inch buttons.

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Answer:

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Step-by-step explanation:

Answer:

Z= -300

Step-by-step explanation:

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In my Knowledge

x^4-6x^2+8=0

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Answer:

first box -1

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Step-by-step explanation:

Hope I helped!!

Answer:
+1


To solve the equation with algebra tiles, first remove +1 tile from both sides. The divide each side into 2 equal groups.

Which is the complete factored form of 2 x 3 - 10 x2–2x+10?

Answers

Answer:

The answer is -2( x + 2)

Step-by-step explanation:

Factor the polynomial.

Hoped this helped!

Brainly, Please?

The complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).

The given polynomial is 2x³-10x²-2x+10.

What are factors of polynomial?

The factors are the polynomials which are multiplied to produce the original polynomial.

The factorization of the given polynomial is as follows:

2x³-10x²-2x+10

= 2x²(x-5)-2(x-5)

= (x-5)(2x²-2)

= 2(x-5)(x²-1)

Now, x²-1=(x+1)(x-1) (∵(a²-b²=(a+b)(a-b))

So, 2(x-5)(x+1)(x-1)

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https://brainly.com/question/16789195.

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what is a - 2b = -10 for b

Answers

Answer:

b=5

Step-by-step explanation:

Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5

Challenge in a company, 95% of the workers are men. If 270people work for the company who
aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that
you can solve this problem.
There are workers in all. (Type a whole num

Answers

Answer:

5,400

Step-by-step explanation:

5% = 270

270 ÷ 5 = 54

54 × 100 = 5400

(4+4)÷22×2

plss someone answer hurry <3

Answers

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

What is the y-intercept of the linear function?

y=5/2x-4

Answers

-4 is the y intercept (b)
the y intercept is -4
hope this helps !

Please help will do anything thank you

Answers

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   [tex]a_n=a+(n-1)d[/tex]

   Here, [tex]T_n[/tex] = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   [tex]a_n=5+3(n-1)[/tex]

   [tex]a_n=2+3n[/tex]

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

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   y          2           5         8          11

   By using this data we can graph the line.    

5. Which scenario matches the inequality?
3x < 12

Answers

Answer: B

Step-by-step explanation:

what is the value of (3.9*0.27)+/0.6724

Answers

Answer:

1.7254

Step-by-step explanation:

(3.9)(0.27)+0.6724

= 1.053+0.6724

= 1.7254

hope I helped!!

Simplify the inequalities and match them with the graphs that represent them. 7x < 42 3x >15 2x > 12 X + 1 < 8 T G DEL ਨੂੰ ਜਨ : ' ! 2 ! ! T } ts reserved​

Answers

Answer:

14 times pie = 69

Step-by-step explanation:

А
D
B В
С
If mZABD = 65° and m2DBC = 60°,
then m ABC = [? ]°
Enter
please help I will give you brainliest

Answers

Answer:

angle abc=125°

.......................

Answer:

125

Step-by-step explanation:

Using the angle addition postulate,

Parts of an Angle add up to form a new angle with the measure of that angle is the sum of the two separate angles.

Add ABD and DBC

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ABC=125

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a chord

Answers

Answer:B major arc

Step-by-step explanation:

edg

The arc CDE shown in the figure attached in the question describes a major arc. The correct option is B.

What is a Major arc of a Circle?

A major arc in a circle is an arc that shows that its measurement is greater than that of 180°. A major arc is one with a measure greater than 180 degrees.

A semicircle is an arc that divides a circle in half and has a measure of 180 degrees. A circle's endpoints can be used to define two semicircles or one minor arc and one major arc.

From the given figure, the arc CDE shows that the arc is greater than 180°, so it can be referred to as the major arc.

A minor arc is an arc that is less than 180°

A semicircle is an arc that is equal to 180°

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WILL GIVE BRAINLIEST TO BEST ANSWERED

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Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

It would be B

Step-by-step explanation:

Hope this helps

What is the value of x in the equation -2 = 5x + 3

Answers

Answer:

-1

Step-by-step explanation:

What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)

Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900

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Answer:

"flow" (and any subsequent words) was ignored because we limit queries to 32 words.

It looks like there aren't many great matches for your search

Tip Try using words

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Answer:

0.04

Step-by-step explanation:

Bradley and Louie are roommates at college.

Bradley and Louie will share all the expenses for the apartment equally.

They pay a total of $1,213.50 for rent every month. They also pay $60 each month for electricity, $40 each month for water, and $75 for cable/Internet/wifi. How much does one person pay in total for one month?

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Step-by-step explanation:

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Answer: -26/15

Step-by-step explanation:

8+7 cause f(x) is 8

Bella and Zoe went blueberry picking. Their blueberries weighed a total of 23.4 ounces. If Bella's
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Answers

Answer:

Zoe picked 11.5 ounces

Step-by-step explanation:

23.4 - 11.9 = 11.5 ounces

Please someone i need it in 2 minutes please

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Answer:

Step-by-step explanation:

if you draw the situation you get a right triangle with

hypothenuse Edelton Walton and the Park City as the vertex of the right angle

Michael went 38+25= 63 miles

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How do you determine if a function is even, odd, or neither

Answers

Answer:

You may be asked to "determine algebraically" whether a function is even or odd. To do this, you take the function and plug –x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (–x) = f (x), so all of the signs are the same), then the function is even.

Step-by-step explanation:

Sydney is 8 years less than twice Steven’s age what is the algebraic expression.

Answers

Answer:

2s - 8

Step-by-step explanation:

sydney is 8 years LESS than TWICE stevens age.

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What is the correct answer?​

Answers

I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.

If two triangles are similar what is true regrading the sides of the two triangles

Answers

Answer:

A triangle has 3 sides so if it has to  add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3

Step-by-step explanation:

and that is my answer to the problem se ya

Find the area of the shape shown below.
3.5
2
2.
units?

Answers

9514 1404 393

Answer:

  26.75 square units

Step-by-step explanation:

Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...

  A = (1/2)bh

  A = (1/2)(9)(3.5) = 15.75 . . . . square units

__

Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(9 +2)(2) = 11 . . . . square units

The sum of these areas is the area of the shape:

  total area = 15.75 +11 = 26.75 . . . . square units

Please show your work

Answers

Answer:

see in the picture, the perimeter of this rectangle is

2( x + 3x) = 8x but the perimeter is 65.6

=> 8x = 65.6

<=> x = 65.6/8

=> x = 8.2

4) -3x - 2y = -17
9x + 2y = 23
A) (1,7)
B) (10,7)
C) (5, 7) D) (-7, 7)

Answers

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7

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