Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon cakes can she buy?

Set up and solve a system of linear equations to model how to determine the number of lemon cakes Jasmine can buy for the party.

Answers

Answer 1

Answer:

Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.

one chocolate cake=?=x

one lemon cake=?=y

$270 spent

need to buy total of 18 cakes

1-chocolate cake =$7

lemon cake = $5

cakes 18=x+y

money $110=$7x+$5y

When i graphed it on the demos calculator i got (10,8).

So 10= the number of chocolate cake brought and 8= the number of lemon cake brought

Answer 2

The number of lemon cakes Jasmine can buy for the party is 8.

System of linear equations

Two equations can be deduced from the question:

a + b = 18 equation 1

$7a + $5b = $110  equation 2

Where:

a = number of chocolate cakes boughtb = number of lemon cakes bought

Determining the number of lemon cakes that can be bought

In order to determine the number of lemon cakes that can be bought, take the following steps:

Multiply  equation 1 by 7

7a + 7b = 126  equation 3

Subtract  equation 2 from  equation 3

2b = 16

b = 8

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552


Related Questions

Solve the system by substitution.
y = x - 6
y = -5x

Answers

Answer:

So.... you gave me the value of y in terms of x, twice...I am not sure what you want me to solve.

You set these two equal to each other since they’re both written in terms of y.

X-6 =-5x
-6=-6x
1=x

Then plug that value of x into either equation to find y.

Y = 1 -6
Y = -5

Solution is (1, -5)

find the perimeter of 15ft 13ft​

Answers

Answer-

56ft

Explanation-

15+15=30 13+13=26

30+26=56

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

15

52

4

5

Answers

Answer:

Multiply both sides by [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{5}x = 10[/tex]

Required

Get an equivalent of [tex]x = 25[/tex]

To do this, we simply multiply through by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}[/tex]

[tex]\frac{5*2}{2*5} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{10}{10} x = 10 * \frac{5}{2}[/tex]

[tex]\frac{1}{1} x = 10 * \frac{5}{2}[/tex]

[tex]x = 10 * \frac{5}{2}[/tex]

[tex]x =\frac{10*5}{2}[/tex]

[tex]x =\frac{50}{2}[/tex]

[tex]x = 25[/tex]

please answer asap!!

Answers

Answer:

16

Step-by-step explanation:

Mwamini wants to drink water and juice within a certain time limit. She drinks juice at a constant rate, and she drinks water at a rate of 25 seconds per liter.
Let W represent the number of liters of water and J represent the number of liters of juice that Mwamini can drink within her time limit.
25W+40J<120
According to the inequality, at what rate does Mwamini drink juice, and what is her time limit?
Mwamini drinks juice at a rate of ___
seconds per liter, and her time limit is ____
seconds.
Can Mwamini drink 2 liters of water and 1 liter of juice within her time limit?
Choose 1 answer:
yes or no

Answers

Answer:Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

Answer:Yes

Step-by-step explanation:

1) Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

2) Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

What is inequality?

"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two algebraic expressions."

For given question,

We have been given an inequality 25W + 40J < 120

W represent the number of liters of water and J represent the number of liters of juice.

Mwamini drinks water at a rate of 25 seconds per liter.

Mwamini drinks juice at a rate of 40 seconds per liter, and her time limit is 120 seconds.

If Mwamini drinks 2 liters of water and 1 liter of juice.

Here, W = 2 lit and J = 1 lit

So, ⇒ 25W + 40J

     = 25(2) + 40(1)

     = 50 + 40

     = 90

      < 120

This means, Mwamini can drink 2 liters of water and 1 liter of juice  within her time limit.

Learn more about inequality here:

https://brainly.com/question/20383699

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herrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeee pt 3

Answers

Answer: 2808 ft.

Explanation: 78*36 is 2808

Give two appropriate names for the line.

Points A, B, C, and D appear from left to right on a number line.

Answers

Answer:

AD and BC

Step-by-step explanation:

Lines are infinite

Thank, 5 star, and brainliest if helpful!

yeah AD and BC have a good day :)

Find the first four terms of the sequence given by the following.
4,=(-1)".31%, n=1, 2, 3, ...

Answers

Answer:

The first term of the sequence is:

a₁ = -3a₂ = 12a₃ = -27a₄ = 48

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: [tex]a^1=a[/tex]

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

a₁ = -3a₂ = 12a₃ = -27a₄ = 48

Tatiana’s book has an area of 88 square inches what are the length and width measurements of the book

Answers

Answer:

9.38 inch

Step-by-step explanation:

[tex]length \: = width \: = \sqrt{area} = \sqrt{88} = 9.38 \: inch[/tex]

Answer:

9.38 inch

Step-by-step explanation:

Help!!! I need help ASAP!!!

Answers

Answer:

The answer would be C.

Step-by-step explanation:

The formula for the area of a square is A=(3.14)r^2

Answer:

its A

Step-by-step explanation:

please answer asap!!!

Answers

Answer:

8

Step-by-step explanation:

Line RT will be 2x smaller than QU because line RT splits lines QS and US equally.

Answer:

8

Step-by-step explanation:

Because RT is smaller than QU so thereforeyou would have to divide 16 by 2 to get 8

2b² +11b=40
Help please

Answers

9514 1404 393

Answer:

  b = -8, 2.5

Step-by-step explanation:

The equation can be rewritten to standard form:

  2b² +11b -40 = 0

In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.

  -80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)

The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:

  2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found

  2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms

  (2b -5)(b +8) = 0 . . . . . . . . finish the factoring

Solutions are values of b that make these factors zero:

  2b -5 = 0  ⇒  b = 5/2

  b +8 = 0  ⇒  b = -8

Solution to the equation are b = -8 and b = 5/2.

say a radical cube root equation with an extraneous solution and a radical cube root equation without an extraneous solution

Answers

One equation that does have an extraneous solution is:   [tex]x + 1[/tex] = [tex]\sqrt{7x+ 15}[/tex]

One equation that doesn't have an extraneous solution is: [tex]\sqrt{x}[/tex] = 4

Answer:

agreed withe one above

Step-by-step explanation:

50 POINTS
Select the correct answer.

Consider function f.

f(x)= 2x^2

What is the value of (f o f)(x)?
A: 16x^4
B: 4x^2
C: 4x^4
D: 8x^4

Answers

Answer:the answer is D

Step-by-step explanation:

I just took the test,its 8x^4.

The value of the function (f o f)(x) will be 4x⁴. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x)= 2x²

Then the value of the function (f o f)(x) will be

(f o f)(x) = f(x) · f(x)

(f o f)(x) = 2x² · 2x²

(f o f)(x) = 4x⁴

Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372

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Printer A can print 21 pages per minute. Printer B can print 1300 per hour. Which printer will have the biggest number of pages in two hours.
(please show work)

Answers

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

The find the slope of a line given any two points, we can use the slope formula given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We can choose the two points (0, -1) and (1, 5) from the graph.

Let (0, -1) be (x₁, y₁) and let (1, 5) be (x₂, y₂). So:

[tex]\displaystyle m=\frac{(5)-(-1)}{(1)-0}=\frac{6}{1}=6[/tex]

Hence, the slope of the line is 6.

slope is the ratio of vertical increase to horizontal increase

Which the following expressions is equivalent(
a + b)(a-b)?

Answers

Answer:

Step-by-step explanation:

(a+b)(a-b)=a^2-b^2

a bakery sells 10 lemon poppy muffins for every 1 bran muffin sold.

Answers

what is the question

Answer:

The answer is D.

Step-by-step explanation:

My explanation is in the picture as u can see.

Which operation will "undo" subtraction?

Answers

Answer: addition ??

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.

Therefore, it is addition

Hope this helps :)

Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Write an equation to represent his depth.

Answers

Answer:

i know the answer but not the equation

Step-by-step explanation:

The value of 7 rounded to the nearest hundredth

Answers

Answer: 9.22

Step-by-step explanation:

2^2 + 9^2 = C^2

4+81=C^2

85=C^2

(square root both sides)

C=9.219544

C=9.22

Kabir earned $25.00 for a week's work. If he paid 16% of it in taxes how much did he
pay in taxes?.

Answers

Answer:

4

Step-by-step explanation:

the 16 percent of 25 is 4.

Answer:

4

Step-by-step explanation:

16 percent of 25 is 4

so he paid 4 dollars tax

hope this helps...

Cody had 12 sodas. Jerritt gave him 6 more sodas. Cody then gave
Leonard 5 sodas. How many sodas did Cody end up with in the end?

Answers

Answer:

13 soda

Step-by-step explanation:

12+6=18

18-5=13

13, i think lol. because jerrit gave him 6 sodas so there cody has 18. then cody gave leonard 5 sodas so cody ended up with 13. right? :o

Rewrite in simplest terms:
10 ( 7 g − 9 h ) − 4 h − 8 ( − h + 8 g )

Answers

Answer:

[tex]6g -86h[/tex]

Step-by-step explanation:

[tex]10( 7g-9h) -4h - 8(-h + 8g)[/tex]

1) First, distribute the 10 and the -8 to the terms in the parentheses next to them. Remember, don't distribute to the -4h since it is not in the parentheses.  

[tex]10( 7g - 9h) -4h - 8(-h + 8g)\\70g - 90h-4h+8h-64g\\[/tex]

2) Next, combine like terms. (Any terms that have the same variables must be added together by their coefficients.)

[tex]70g - 90h-4h+8h-64g\\\\70g-64g-90h-4h+8h\\6g-86h[/tex]

There are no more like terms to combine, so [tex]6g -86h[/tex] is the answer.

If the circumference of a circle is 4π cm, what is its area?

Answers

Answer:

12.56cm

Step-by-step explanation:

4π cm

4 x 3.14

12.56cm

What is the missing reason for line 3 in this proof? LZM

Answers

I have no idea what you mean!!!! Make it more clear next time. ;)

Answer: B. substitution property of =

Explanation:

The given points, LM, LZ, and MZ, were substituted for their numbers.

Bonus:

Line 5- C. division property of =

Line 8- D. multiplication of real numbers

Line 2- D. segment addition postulate

I hope this helped!

Good luck <3

What is the relationship between the 6 in the number 6.45 and the 6 in the number 62

Answers

6 in the number 6.45 is the ones digit.

6 in the number 62 is the tens digit.

please help asap!!!!!!

Answers

Answer:

z = 66

Step-by-step explanation:

QT is a midsegment. Thus, applying the midsegment theorem:

RS = 2(QT)

QT = z - 33,

RS = z

Plug in the values into the equation

z = 2(z - 33)

z = 2z - 66

Subtract 2z from each side

z - 2z = -66

-z = -66

Divide both sides by -1

z = 66

The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggests a larger size than for peers) at age of 6 to 14 months and y =volume of cerebral grey matter (in ml) at age 2 to 5 years were read from a graph in an article.
A) what is the value of the correlation coefficient? (Give the answer to two decimal places.) r=
B)Find the equation of the least- squares lines. (Give the answer to two decimal places.)
C) Predict the volume of cerebral grey matter for a child whose head circumference z score at age 12 months was 1.9. (Give the answer to two decimal places.)

Answers

Answer:

[tex]r=0.77[/tex], [tex]\hat{y}=770.50+39.37x[/tex] and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is  [tex]\hat {y}=920.10[/tex]

Step-by-step explanation:

We attached a table below,

[tex](a)[/tex]  We attached a table below,

Therefore ,

correlation coefficient  [tex]r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }[/tex]

                                         [tex]=\frac{41.04}{53.19}[/tex]

                                         [tex]=0.77[/tex]

[tex](b)[/tex]    We calculate the least squares equation.

      [tex]b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37[/tex]

Now , calculate intercept coefficient.

[tex]b_0=\bar{y}-r\bar{x}\\[/tex]

    [tex]=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50[/tex]

Therefore, the regression equation is, [tex]\hat{y}=770.50+39.37x[/tex]

[tex](c)[/tex]    Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

[tex]\hat{y}=770.50+39.37x[/tex]

   [tex]=770.50+39.37(1.9)\\=770.50+74.80\\=920.10[/tex]

write an equivalent expression to represent Bradens total earnings for this week.

8h + 129 + 3h = ?h + ?

Answers

Answer:

11h +129

Step-by-step explanation:

8h + 129 + 3h = ?h + ?

11h +129

Answer:11h +129

Step-by-step explanation:You add like terms together which are 8 h and 3h which gives you 11 h.And you have 129 left so you add 11 h to 129 .So you get 11 h +129 as your equivalent expression to represent Bradens total earnings for this week.

Hope it helps and ur are welcome :)

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