Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

Answers

Answer 1

The cost of cupcakes is $1.25 and cookies costs $0.90.

Two equations that would be used to determine the required values can be derived from this question:

20x + 40y = 61 equation 1

30x + 30y = 64.50 equation 2

In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.

60x + 120y = 183 equation 3

60x + 60y = 129 equation 4

Subtract equation 4 from 3

60y = 54

Divide both sides of the equation by 60

y = $0.90

Substitute for y in equation 1

20x + 40(0.9) = 61

20x + 36 = 61

20x = 61 - 36

20x = 25

x = 25 / 20

x = $1.25

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Related Questions

Components inside a computer such as CPU and motherboard are all examples of _____. software hardware

Answers

Answer:

it's hardware.

.

hope I helped!

{x|x is an odd integer between -3 and 7}

Answers

Answer:

x={-1,1,3,5}

Step-by-step explanation:

x={-1,1,3,5}

How can you simplify this expression?

Answers

Answer:

add the exponents

Step-by-step explanation:

Which 2 colours are the ones for this?

Answers

Answer:

Step-by-step explanation:

red and green

you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line

the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.

to prove this, set each equation equal to zero and solve-

so 2x-3=0

2x=3

x=1.5

4-5x=0

-5x=-4

x=0.8

also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves

How to solve this problem

Answers

Answer:

Step-by-step explanation:

Able Johnson wants to buy a whole life policy with a face value of $250,000. He is 40 years old, and the premium fee for his age is $19.50 per
$1,000 unit of face value. What is his annual premium?

Answers

Answer:

19.65 cnets

Step-by-step explanation:

George is going to sing 4 songs in
the school program. In how many
different orders can George sing
each song once?

Answers

Answer:

4! or 24

Step-by-step explanation:

4! is 4*3*2*1 which equals 24.

Every single time that he sings a song, he has one less option to pick from.

Hope this helped! :)

Answer:

Greg can sing in 16 different ways to each song once.

Step-by-step explanation:

Line c has an equation of Y=-5x+3 Parallel to line c is line d which passes through the point (2,-6) what is the equation of line d

Answers

Answer:

The equation of line d is

X = -5x + 4

Explanation:

Two lines are parallel when they both have the same slope.

Line c and line d have a common slope of -5.

X = -5x + 4, in particular, passes through the point (2, -6).

Hope this helped. Have an awesome and blessed year!

You need to graph the linear function plz help hurry

Answers

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

which shape has 2 parallel sides ready

Answers

Answer:

You have two sets of parallel sides. A square has two sets of parallel sides, and it has the extra condition that all of the angles are right angles. So a square is definitely going to be a rhombus. Now, all rhombuses have four sides.

Step-by-step explanation:

Answer:

A Parallelogram

Step-by-step explanation:

Jose is trying to pick out an outfit for the first day of school. He can choose from 2 pairs of pants, 6 t-shirts, and 3 pairs of shoes. How many different outfits does Jose have to choose from?

Answers

Answer:

Jose has 36 outfits in total, just multiply all the numbers together

Step-by-step explanation:

Find all solutions of cos()=−1/2 on the interval [−

Answers

Answer:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10!!

Step-by-step explanation:

At Charles Walters Middle School, 25% of the students live more than 8 miles from school, What fraction of the students live more than 8 miles from school? Write your answer as a fraction in simplest form. ?​

Answers

Answer:

1/4

Step-by-step explanation:

0.25 = 1/4

Answer:

1/4

Step-by-step explanation:

25% is 25/100. 25/100 simplified is 1/4.

expand the function f(x)=(x+5)^3

Answers

The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125

How to expand the function?

The function in the equation is given as

f(x) = (x+5)^3

Rewrite this function properly

So, we have the following representation

f(x) = (x + 5)³

Solving further, we need to expand the expression into factors

So, we have the following representation

f(x) = (x + 5)(x + 5)(x + 5)

Next, we expand the first two brackets in the equation

This gives

f(x) = (x² + 5x + 5x + 25)(x + 5)

Evaluate the like terms

This gives

f(x) = (x² + 10x + 25)(x + 5)

Solving further, we need to expand the last two brackets

So, we have the following representation

f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)

Evaluate the like terms

This gives

f(x) = (x³ + 15x² + 75x + 125)

Remove the brackets

So, we have

f(x) = x³ + 15x² + 75x + 125

Hence, the function is f(x) = x³ + 15x² + 75x + 125

Read more about functions at

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100 points please help will give brainliest

Answers

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

Find the sum of 12.351 and 0.5362

Answers

Question:-

Find the sum of 12.351 and 0.5362

Answer:-

12.351 + 0.5362 = 12.8872

What is the radical form of the expression 4 3/2?

Answers

Answer: D

Step by Step explanation:

Answer:

[tex]\sqrt{4^{3} }[/tex]

Step-by-step explanation:

4 to the power of 3/2 is the same thing as [tex]\sqrt{4^{3} }[/tex]

since the numerator (3) represents the exponent, and the denominator (2) is the root

think of it like this: [tex]4^{2}[/tex] is (4x4) and [tex]4^{1}[/tex] is just 4 and so [tex]4^{\frac{1}{2} }[/tex] is 2 since it is the inverse of [tex]4^{2}[/tex] and the inverse of a power is a root, so the denominator always is the root and the numerator is the power

someone please help meeeeee

Answers

Answer:

B. (5,0)

Step-by-step explanation:

hope this helps

Answer:

B. (5,0)

Step-by-step explanation:

Place all the coordinates on the graph and then its pretty much self-explanatory after that. you just see which is closest to the subject. which, in this case, was the school.

(X+2b)(x-4b) simplified

Answers

Answer:

I will ASSUME X = x

x² + 2bx - 4bx - 8b²

x² - 2bx - 8b²

Answer:

[tex]\\\\\\-8b^2-2bx+x^2[/tex]

Step-by-step explanation:

[tex](x+2b)(x-4b)\\=(x+2b)(x+(-4b)\\=(x)(x)+(x)(-4b)+(2b)(x)+(2b)(-4b)\\\\x^2-4bx+2bx-8b^2\\\\-8b^2-2bx+x^2[/tex]

7x+27x+2 from -5x^2-2x
ADDING AND SUBTRACTING POLYNOMIALS

Answers

Answer:

7x+27x=34x

34x+2-(-5×^2)-2x

34x+2+5x^2-2x

34x+2x=36x

36x+2+5x^2


Question 6
You have been asked to set up chairs for the school concert.
The first row will have 10 seats, and each additional row has 4
seats more than the previous row. /(10 pts)
What is the total number of chairs needed to set up 25 rows?

Answers

Answer:

1500

Step-by-step explanation:

we can do simple triangle numbers to do this. 4 more seats per row. we take 10 which is the first row and add the last row which 110 because 4*25 rows is 100 more. now we can half the rows to 12.5 and multiply that by the 120 and we get 1500 and we are done

which is greater?
1.4 or 1.41421356237

Answers

Answer:

1.41421356237

Step-by-step explanation:

After every decimal place value, or decimal point, there are infinite rows of invisible 0's

In 1.4, there are countless invisible 0's, which would look like this

1.40000000000000000...

Same for 1.41421356237

1.4142135623700000000...

So now, you can compare and see that 1.41421356237 has a 1 in the hundredths place, while 1.4 has a 0 in the hundredths place

Thus, 1.41421356237 is greater than 1.4

pleaseeeeeeeee help me

Answers

Answer:

2⁴ = 16

Step-by-step explanation:

Talon read 30 pages last night in 20 minutes. If Drake read twice as fast, what was Drake's reading speed?

Answers

Answer:

3m/s

Step-by-step explanation:

s=v/ts=60/20s=3m/s

Write an equation of the line that passes through a pair of points:
(-5-2). (4,5)

a. y=7/9x-17/9
b. y=7/9x-9/17
c. y=7/9x+17/9
d. y=-7/9x +17/9

Answers

Answer:

y=7/9x+17/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-2))/(4-(-5))

m=(5+2)/(4+5)

m=7/9

y-y1=m(x-x1)

y-(-2)=7/9(x-(-5))

y+2=7/9(x+5)

y=7/9x+35/9-2

y=7/9x+35/9-18/9

y=7/9x+17/9

What is the greatest common factor of 12 and 18?
A. 2 B. 6 C. 4 D. 12

Answers

Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

Answer:

B

Step-by-step explanation:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The common ones are 1, 2, 3, and 6. The greatest one among these is 6.

Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.

Consider continuous functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function (options) F, H, G, K
The function that has the greatest minimum value is function (options) F, H, G, K
.

Answers

It wouldn't let me post the answer. See images for the answer and explanation

The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

What are the minimum values of the functions?

Given:

Consider continuous functions f, g, h, and k.A graph is given in the attached image.

Find:

The function that has the least minimum value is function.the function that has the greatest minimum value is function.

Solution:

From the question, we get;

[tex]h(x) = 2(x-1)^{2}[/tex]

⇒ h(x)min = 0

⇒ g(x)min = -5

⇒ f(x)min = -7

⇒ k(x)min = 7

So,  f(x)min < g(x)min < h(x)min <  k(x)min

Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

To learn more about the minimum of functions, refer to:

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Math Practices and Problem Solving
13. Algebra In the first 3 months of the year,
an electronics store sold 1,446 cameras.
How many cameras did the store sell in March?
Write and solve an equation.

Answers

The store sold 482 cameras in the month of March.

An equation is an expression that shows the relationship between two or more variables and numbers.

Assuming that the same number of camera is sold each month. Let x represent the amount of camera sold in March.

Since the electronics store sold 1,446 cameras in the first 3 months, hence:

3x = 1446

x = 482 cameras

The store sold 482 cameras in the month of March.

Find out more on equation at: https://brainly.com/question/2972832

NO LINKS!!!!!

Describe the x-values for which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x) < 0.

a. The function is increasing when _______ and __________ and decreasing when
__ < x < __.

b. The function is greater than zero when _______.

c. The function is less than zero when
___ < x < ____ and _____​

Answers

A: . The function is increasing when X<-1 and x>1 and decreasing when

-1 < x < 1.

B:The function is greater than zero when x>2

C: The function is less than zero when

-1 < x < 2 and X<-1

What is the diameter of a circle with the equation x2 + y2 - 8x + 2y - 8 = 0?

5 units
6 units
9 units
10 units

Answers

Answer:

Diameter is 10 units

Step-by-step explanation:

Convert standard form to general form by completing the square:

[tex]x^2+y^2-8x+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y-8=0[/tex]

[tex]x^2-8x+y^2+2y=8[/tex]

[tex]x^2-8x+16+y^2+2y+1=8+16+1[/tex]

[tex](x-4)^2+(y+1)^2=25[/tex]

[tex](x-4)^2+(y+1)^2=5^2[/tex]

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50

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