Mathematics College

8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.

Answers

Answer 1

9514 1404 393

Answer:

both cost $13 each

Step-by-step explanation:

Let p and a represent the costs of pecan and apple cheesecakes, respectively.

3p +7a = 130 . . . . . . Lisa's sale

12p +14a = 338 . . . . Jasmine's sale

Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.

Subtracting twice the first equation from the second eliminates 'a'.

(12p +14a) -2(3p +7a) = (338) -2(130)

6p = 78 . . . . . simplify

p = 13 . . . . . . .divide by 6

Substituting into the first equation gives ...

3(13) +7a = 130

7a = 91 . . . . . . . subtract 39

a = 13 . . . . . . . . divide by 7

The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.

A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.

8) Lisa And Jasmine Are Selling Cheesecakes For A School Fundraiser. Customers Can Buy Pecancheesecakes

Related Questions

(10)/(4)<(z+8)/(2)<(22)/(4)

Answers

Answer:

-3 < z < 3

Step-by-step explanation:

×4

10 < 2z + 16 < 22. -16

-6 < 2z < 6. ÷2

-3 < z < 3

Marina can make 36 cupcakes in 45 minutes. how long will it take for her to make 108 cupcakes

Answers

Answer:

135 minutes

Step-by-step explanation:

marina can make 1 cupcake in 1,25 minutes so to make 108 cupcakes , marina need : 108.1,25 = 135 minutes

2.2 Evaluating Functions Practice

Answers

Answer:

A = 11

B = -4

C = 7

D = 27

Step-by-step explanation:

Each week Christian earns $X fixing bicycles and receives $10 as his allowance to find how much he will earn in total over two weeks Christian calculate the following X +10+ X +10 what is another way Christian can calculate how much he will earn in total over the two weeks drag and drop the equivalent expression in the box

Answers

Answer:

Step-by-step explanation:

100 points

Answer the following questions for the expression: -5x+3y-72+ 10 a) How many terms does the expression have? b) What is the constant of the expression? c) What is the third term in the expression? d) What is the coefficient of the second term?

Answers

A. This expression has 4 terms
B. The constants are -5, 3, 72 and 10
C. The third term is 72
D. The coefficient is y

451 mi/ 7.3 hr. Round to the appropriate number of significant digits.

Answers

Answer:

Step-by-step explanation:

26-14-(-6)+(-7)-11

Please help

Answers

[tex] = 26 - 14 - ( - 6) + ( - 7) - 11 \\ = 26 - 14 + 6 - 7 - 11 \\ = 26 + 6 - 14 - 7 - 11 \\ = 32 - 14 - 7 - 11 \\ = 0[/tex]

Answer:

Step-by-step explanation:

26 - 14 - (-6) + (-7) - 11

26 - 14 = 12

12 - (-6) + (-7) - 11

12 - 1 = 11

11 - 11 = 0

Walmart sells 6 gel pens for $15.00 and 4 notebooks for $5.40. What is the
difference between the unit price of a gel pen and the unit price of a notebook?
Enter the answer in the box.
$

Answers

Answer:

$1.15

Step-by-step explanation:

$15 / 6 =$2.50 for each gel pen

$5.40 / 4= $1.35 for each note book

$2.50- $1.35= $1.15

what is 1/4 x 1/4 x 1/4 do the answer in fraction form

Answers

Answer: 1/64

Reasoning: 4*4*4 is 64

(1/4)(1/4)(1/4)

3 (1/4)s

(1/4)³1/4³1/64

what is the equation of the blue line

Answers

Answer: y+-1m -1

Step-by-step explanation:

Write the equation of the line that passes through the points (3,19) and (-2,-16)

Answers

Answer:

y = 7x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-16 - 19 / -2 - 3

-35/-5

= 7

y = 7x + b

19 = 7(3) + b

19 = 21 + b

-2= b

What is 786 rounded to the nearest ten?explain your thinking

Answers

If we found it up it will round up the the color purple because red and blue makes purple

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

5. Ari is playing a board game. After 3 moves he is on
space 17. Ari's first move was forward 2 spaces, and
his third move was forward 7 spaces. What was Ari's
second move? Explain how you found the answer.

Answers

Answer:

Step-by-step explanation:

17-(9+2)=8

which of the following decimals has the greatest value 6.362 6.537 6.5 6.58

Answers

Answer:

6.58 has the greatest value

6.362 < 6.5 < 6.537 < 6.58

When Jerome travels on the highway, he sets his cruise control at 65 mi/h. The function f(x)=65x represents his total distance f(x) when he has traveled x hours. How many miles will he have travelled after 3.5 hours of driving on the highway

Answers

The number of miles that he will have traveled after 3.5 hours of driving on the highway is 227.5 miles.

The function given to solve the question is: f(x) = 65x

where, x = number of hours

Therefore, when he travelled for 3.5 hours, the number of miles will be gotten by multiplying 65 by 3.5.

f(x) = 65x

= 65 × 3.5

= 227.5 miles.

Therefore, the number of miles that he will have travelled after 3.5 hours of driving on the highway is 227.5 miles.

Read related link on:

https://brainly.com/question/24987977

what number has 62 ones, 20 ten thousands, and 300 tens

Answers

Answer:

20,326

Step-by-step explanation:

what number has 62 ones, 20 ten thousands, and 300 tens

Hope it helped you brainiest plz and thank you have a great day!!!

The number for the given statement is 203,062.

We need to find what number has 62 ones, 20 ten thousand, and 300 tens.

How to write the number into a word statement?

In general, use words to express numbers zero through nine, and use numerals to express numbers 10 and above. However, there are exceptions to this general guideline for number usage.

Now, 62 ones=62×1=62

20 ten thousand=20×10,000=200,000

300 tens=300×10=3000

Now add all these numbers.

That is, 200,000+3000+62

=203,062

Therefore, the number for the given statement is 203,062.

To learn more about the numbers visit:

https://brainly.com/question/17429689.

#SPJ2

Cuantas horas es en 60 millas por hora a 240 millas de distancia

Answers

Answer:

How many hours is it in 60 miles per hour 240 miles away?

Step-by-step explanation:

D = r*t

240 = 60*t

240/60 = t

4 = t

t = 4

It will take 4 hours.

find the value of y. 7y + y - 2y =18

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

y=3

Step-by-step explanation:

if you are to put this on a graph the would be Linear

Can someone help me?

Answers

-8/12

add together but keep the negative

please help (there’s a picture)

Answers

The distance between the points is 3.

Use the distance formula or just count up three blocks :)

The distance between the two pints is 3 units

Find the equation of the exponential function represented by the table below:

0
2
1
4
2
8
3
16

Answers

9514 1404 393

Answer:

y = 2·2^x

Step-by-step explanation:

When the exponential function is of the form ...

y = a(b^x)

The value of 'a' is the value of y when x=0. The table tells us a = 2.

The value of 'b' is the ratio between values of y when their corresponding x-values differ by 1. The table tells us b = (4/2) = 2.

Then the exponential function describing the table is ...

y = 2(2^x)

Dakota earned $7.50 in interest in Account A and $30.00 in interest in Account B after 18 months. If the simple interest rate is 2% for Account A and 5% for Account B, which account has the greater principal? Explain.

Answers

Answer:

account a

Step-by-step explanation:

deez nuuuuuuuts

A cookie recipe calls for 2 eggs and makes 3 dozen cookies. How many cookies could you make with a dozen eggs?

Answers

18 dozen cookies, explanation:
12 = 2x6 this is how many eggs there are in dozen
For every two eggs
There are 3 dozen cookies
So if you multiply 3x6
You would get 18 dozen cookies.

Answer:

18 dozen

Step-by-step explanation:

2/3 = 12/x

(3*12) / 2 = 18

What is the slope of this line?

34

−3

4

−34

Answers

Answer:

slope = -2/3

Step-by-step explanation:

BECAUSE IT IS

The slope of this line is -3/4

Add −12 + 7.
options:

19

−5

−19

5

Answers

Answer:

[tex] - 12 + 7 = - 5[/tex]

I hope I helped you^_^

please help w my khan acc

Answers

Answer:

y=2x+4

Step-by-step explanation:

When X is at 0 Y is 4 so you add four at the end and then you backtrack it and get 2x+4.

Hope it helps

suppose a varies directly as b, and a =8 when b =3 find b when a =24

Answers

Answer:

b=9

Step-by-step explanation:

since a varies directly as b,

a=kb

k=a/b

k=8/3

but when a=24, b will be given by

b=a÷k

b=24÷8/3, b=24×3/8

b=9

Greatest common factor of 76 and 675

Answers

the greatest common factor of 76 and 675 is 1

Is (3,-10) a solution to the function y = - 4x + 2? Answer "yes" or "no". Then explain why it is or
is not a solution

Need answer ASAP

Answers

Answer:

no yes of couse its yes but no so yes 1727x+293

Step-by-step explanation:

What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4

Answers

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

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