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

In an urban area, 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog owners in this urban area if they pay for someone to walk their dog. What is the probability that more than 30% of the owners in the sample pay for someone to walk their dog?

A. 0.439

B. 0.519

C. 0.561

D. 0.586

Answers

Answer:

c 0.561

Step-by-step explanation:

did the test on edge

The probability that more than 30% of the owners in the sample pay for someone to walk their dog is option c. 0.561.

Calculation of the probability:

Since 31% of dog owners pay for someone to walk their dogs. Morgan asks a random sample of 50 dog

So

= P> ( 0.30 - 0.31) / √0.31 (1 - 0.31)/ 50

= P(z > - 0.1530)

= 0.5608

= 0.561

Hence, the option c is correct.

learn more about probability here: https://brainly.com/question/24760080

4x + 10 > 54 how do I solve this

Answers

Answer:

4x + 10 >54

-10. -10

4x> 44

/4. /4

x= 11

4(11) +10 >54

44+10.>54

54>54

the answer is false since they're both equal

can you guys please help me

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Each vertex has a single-letter label.

Each edge joins two vertices, and is named by naming those two vertices.

Each polygon is named by listing the vertices at its corners. It is a plane figure.

The base is the polygon opposite the point where all of the triangles come together.

__

16. figure: pentagonal pyramid ABCDEF

17. base: ABCDE

18. faces: ABF, BCF, CDF, DEF, AEF, ABCDE (the bottom face, or base)

19. edges: AB, BC, CD, DE, AE, FA, BF, CF, DF, EF

20. vertices: A, B, C, D, E, F

Derek and Jeannine buy a car for a total price, including tax, of $19,795.
The price of the car without tax was $18,500. What is the tax rate? (PLEASE HELP ME)

Answers

Answer:

1,295 I believe

Step-by-step explanation:

19,758 - 18,500 = 1,295.

I need help pleaseeeee

Answers

Answer:

The value will be positive because there are five minus signs which means negative but the there are two minus before the biggest number which means positive.

The function D =25+0.3 X represents the daily dental charge D in dollars for X miles driven

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]D = 25 + 0.3X[/tex]

The question has missing details; as what's required is not stated.

However, since it is a linear equation, possible questions could be

1. Determine the slope

2. Determine the D-intercept

3. Calculate the amount in dollars for (say) 5 miles

An equation is represented as:

[tex]D = b + mx[/tex]

Where

[tex]b = D\ intercept[/tex]

[tex]m = slope[/tex]

By comparing: [tex]D = 25 + 0.3X[/tex] to [tex]D = b + mx[/tex]

[tex]b = 25[/tex] and [tex]m = 0.3[/tex]

This means that the slope is 0.3 and the d intercept is 25

To get the amount for 5 miles, we substitute 5 for x in [tex]D = 25 + 0.3X[/tex]

[tex]D = 25 + 0.3 * 5[/tex]

[tex]D = 25 + 1.5[/tex]

[tex]D = 26.5[/tex]

The cost of 5 miles is $26

Make use of the above explanation to solve the question

What information does the reader know before it is discovered by the other characters in the play?

Answers

Answer:

The woman will give the brothers an unusual test

Step-by-step explanation:

simplify expressions for 3c-4m and m=5 and c=4

Answers

Answer:

12-20=-8

Step-by-step explanation:

Multiply 3 by c which is 4=12  multiply -4 by m which is 5 which equals 20

Pls give brainliest

-8 because you plug in both the numbers in the corresponding letter 12-20

How many different ways can teams of four members be formed from a
class of 20 students?
A) 5
B) 80
C) 4,845
D) 116,280

Answers

Answer:

20C4=4845

Step-by-step explanation:

Rewrite the fraction in the sentence below as a percentage. From 100 yards away, a marksman hits 13/20 of the yard last year

Answers

The answer is 65 percent

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

Line EF intersects the parallel lines AB and CD.
What is the measure of angle J in the figure below?

Answers

Answer:

d, 125

Step-by-step explanation:

Answer:

d)125

Step-by-step explanation:

The value of a painting has a growth factor of 107. The current value of the painting is $345. How much was it orginally worth when you purchased it 10 years ago

Answers

Answer:

70$

Step-by-step explanation:

Write the word sentences as an equation. Then solve the equation.

A number k increase by 7 is 34.

An equation that represent this word sentences is?

The solution is k=?

Answers

Answer:

k+7=34

k=27

Step-by-step explanation:

what grade is this for?

hope this helps

write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)​

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

'm' represents slope

'b' represents the y-intercept

use the slope and the point (3,24) as your x and y inputs to find 'b'

24 = 4(3) + b

24 = 12 + b

b = 12

y = 4x + 12

What is the fraction 7/12 as a product of a whole number and a unit fraction

Answers

Answer:

7 1/2 is the answer because you have to multiply the whole by the denominator. Make that product the numerator.

Step-by-step explanation:

5z+7=3 what solution

Answers

Answer:

z = -4/5

Step-by-step explanation:

5z + 7 = 3

5z = -7 + 3

5z = -4

z = -4/5

Hope this helps :)

Let me know if there are any mistakes!!

5 x (2+8) + (12-6/3) x2

Answers

Answer:x

3

+

64

x

3

1

12

t

8

Step-by-step explanation:

Answer:

5 x (2+8) + (12-6/3) x2

5×10+(12-2)×2

50+10×2

50+20

70

Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees

Answers

An obtuse scalene triangle

Obtuse = an angle over 90
Scalene = three different angles

In the typing world, 80 words per 5 minutes is considered acceptable.
How many words per minute is this?

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Answers

This question is incomplete, the complete question is;

On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation

Probability              0.35     0.26     0.21      0.18

Amount gained     $100     $200   $300    -$15

Option;

a) $11,143

b) $106

c) $10,200

d) $147

Answer:

the standard deviation is 106

Option b) $106 is the correct Answer

Step-by-step explanation:

Given the data in the question;

let the random variable be x

x = amount gained by customers in a lucky draw contest

so

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

so

x              x²               p(x)        x.p(x)       x².p(x)

$100      10,000        0.35       35           3,500

$200     40,000       0.26       52          10,400

$300     90,000       0.21        63           18,900

-$15         225           0.18       -2.7          40.5

TOTAL                                   147.3         32,840.5

Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]

we substitute;

Variance (x) = 32,840.5 - (147.3)²

Variance (x) = 32,840.5 - 21,697.29

Variance (x) = 11,143.21

Now Standard Deviation = √variance

so, S.D = √11,143.21

S.D = 105.56 ≈ 106

Therefore, the standard deviation is 106

Option b) $106 is the correct Answer

A town has a population of 13,000 and grows at 4.5% every year what will be the population after 13 years to the nearest whole number

Answers

Answer:

23,039

Step-by-step explanation:

13,000×1.045¹³ ≅ 23,039

Determine the domain of the following graph:

Answers

-8 (is less than or equal to) x ( which is less than) 3
Or [-8,3)


What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?

Answers

Answer:

1.25

Step-by-step explanation:

a = 10 and r = 0.5

The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.

In this case n = 4, since we're looking for the fourth term.

so,

Un = ar^n-1

= ar^4-1

= ar^3

U4 = 10 × 0.5^3

= 10 × 0.125

= 1.25

Please help on this I will mark brainlist!!!

Answers

9d=h


Needs to be 20 characters

can somebody help me plz ??!!

Answers

Answer: number 1

Step-by-step explanation: an example of an irrational

number is pi. it terminate and is a decimal      

An amount of $44,000 is borrowed for 9 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid
back?

Answers

Answer:

A= $52,190.93

Step-by-step explanation:

A = $ 52,190.93

A = P + I where

P (principal) = $ 40,000.00

I (interest) = $ 12,190.93

Calculation Steps:

First, convert R percent to r a decimal

r = R/100

r = 3%/100

r = 0.03 per year,

Then, solve our equation for A

A = P(1 + r/n)nt

A = 40,000.00(1 + 0.03/1)(1)(9)

A = $ 52,190.93

Summary:

The total amount accrued, principal plus interest,

from compound interest on an original principal of

$ 40,000.00 at a rate of 3% per year

compounded 1 times per year

over 9 years is $ 52,190.93.

Which point is a reflection of (-3,-3) across the y-axis?
(-3, 3)
(3, 3)
0 (-3,-3)
o
(3,-3)

Answers

Sorry if it’s too late, but I worked it out for you.

The point which is a reflection of (-3,-3) across the y-axis is, (3, - 3)

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The point is,

⇒ (- 3, - 3)

Now, We know that;

The rule of reflection after across the y - axis is,

⇒ (x, y) = (- x, y)

Thus, The point which is a reflection of (-3,-3) across the y-axis is,

⇒ (x, y) = (- x, y)

⇒ (-3, -3) = (- (-3), -3)

              = (3, - 3)

Learn more about the coordinate visit:

https://brainly.com/question/24394007

#SPJ2

Can you guys help me out ps hurry im timed

Answers

Answer:

If it's supposed to have no solution, I think you can just use an extreme number, like -30 or something.


Somebody pls help I need help wit my homework!!!!

Answers

Step-by-step explanation:

(3,4) would be the answer

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