Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, X, and the number of cookies, y, that Abigail bought.

Answers

Answer 1

Answer:

Number of cupcakes = 2

Number of cookies = 5

Step-by-step explanation:

Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.

Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.

[tex]3.75x+0.75y=11.25[/tex]

At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]

[tex]y=\frac{11.25}{0.75} =15[/tex]

At [tex]y=0;3.75x=11.25[/tex]

[tex]x=\frac{11.25}{3.75}=3[/tex]

So, plot the points [tex](0,15)\,,\,(3,0)[/tex]

Also,

Abigail bought a total of 7 cupcakes and cookies altogether.

[tex]x+y=7[/tex]

At [tex]x=0;0+y=7[/tex]

[tex]y=7[/tex]

At [tex]y=0;x+0=7[/tex]

[tex]x=7[/tex]

So, plot points [tex](7,0)\,,\,(0,7)[/tex]

From the graph, solution is [tex](2,5)[/tex]

Number of cupcakes = 2

Number of cookies = 5


Related Questions

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
The letter selected will be recorded as the outcome.
Consider the following events.
Event X: The letter selected comes before "E".
Event Y: The letter selected is found in the word "FACE".
Give the outcomes for each of the following events.
If there is more than one element in the set, separate them with commas.

Answers

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

Given information,

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

X: The letter selected comes before "E".

Y: The letter selected is found in the word "FACE".

The outcomes in favour of X will be:

[tex]X=[/tex] [tex]\left \{ A,B,C,D \right \}[/tex]

The outcomes in favour of Y will be:

[tex]Y=\left \{ A,C,E,F \right \}[/tex]

Therefore,

Element in the given sets will be [tex]\left \{ A,B,C,D \right \}[/tex] and [tex]\left \{ A,C,E,F \right \}[/tex]

For further details refer to the link given below:

https://brainly.com/question/795909

30/9 as an improper fraction

Answers

Answer:

10/3

3 1/3

Step-by-step explanation:

Can anyone please help thank you

Answers

if each set of parallel sides are equal length, x=12 and y=3

Members of video game platform X-
box live pay $2 per download plus a
one-time $50 membership fee. Non-
members pay $20 per download.
How many games would a member
have to download to save money
compared to downloading games as
a non-member?
O A2
0 B2.7
СЗ
D4

Answers

Answer:

When number of games downloaded is at least 3

Step-by-step explanation:

Let x = number of games downloaded

Members = 50 + 2x

Non members = 20x

50 + 2x = 20x

50 = 20x - 2x

50 = 18x

x = 50/18

x = 2.78

At x = 2.78, both members and non members are paying the same amount

For members to make profits, the value of x must be greater than 2.78

Approximately x = 3

Check:

Members = 50 + 2x

= 50 + 2(3)

= 50 + 6

= 56

Non members = 20x

= 20(3)

= 60

he following graph shows the low temperatures for the past six nights. If the line continues as it has for the past six nights, which of the following is a good prediction for Tuesday night's low temperature?

Answers

37 would be a good prediction

Answer:

37

Step-by-step explanation:

solve 7/t+8=6v-8u for t

Answers

Answer:

t=7/(6v-8u-8)

Step-by-step explanation:

Isolate t

7/t=6v-8u-8

7/6v-8u-8=6v-8u-8*t/6v-8u-8

t=7/(6v-8u-8)

You can simplify it

t=7/2(3v-4u-4)

solve for x with working​

Answers

Answer:

1

in this *represents x

8*-¹=2/16*

8*-¹= 2/(2)⁴*

8*-¹=2/2⁴*

on comparing quantities , we get

x-1=0/4x

x-1=0

x=1

Please help will b4ainlist

Answers

Answer:

(2x+1)(x-3)

x=-1/2,x=3

Step-by-step explanation:

Depends what method you use but I would do...

-3*2=-6

-6x+1x

-6x/2=x-3 and 1x/2= 2x+1

(2x+1)(x-3)

Now solve by equalling it to 0

2x+1=0

2x/2=-1/2

x=-1/2

x-3=0

x=3

8v+5=1
v=_
pls help!!!

Answers

The answer is V = - 1/2. You need to subtract 5 on both sides -> 8v = 1-5 -> 8v=-4 and then divide by 8 to isolate the variable v to give you v=-1/2
v= -1/2
i honestly used photomath but
1.move constant to the right (8v+5=1)
2. calculate (8v=1-5)
3. divide both sides (8v= -4)

Liam ate 1/3 of 3/4 of a pizza. How much pizza did Liam eat?

Answers

Answer:

Liam ate 5/12 the pizza

Step-by-step explanation:

Answer:

Liam would have eaten 5/12 of the pizza.

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Having trouble understanding....please help me.

Answers

Answer:

3:2

Step-by-step explanation:

Triangles ABC and PMN are similar.  This is evident from the marks identifying equal angles.

The ratio of the two longest sides is 20:30, or 2:3.

The ratio of the two shortest sides is 12:18, or 2:3.

Finally, the ratio of the two sides of intermediate length is 16:24, or 2:3.

The scale factor of the alrger triangle to the smaller triangle is 3:2.

PLEASE HELP ASAP
Finding angles!!

Answers

Answer:

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 6: 65

Angle 7: 115

Step-by-step explanation:

Find the value of angle 2 by applying the vertical angles theorem (65)

Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)

Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)

Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.

Can somebody plz help answer this math problem correctly (only if u know how to do this) thx :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST:DDDD

Answers

Answer:

23

Step-by-step explanation:

2.3 x 10

solve for n.
(2^4) = 2^n
n = ___

Answers

Answer:

n=8

This is your final answer!

plz plz plz plzp lzp l help

Answers

Answer:

1.037 x 10^7

Step-by-step explanation:

Consider the following formula y−p/2=e. Rearrange the formula to solve for "p":

Answers

Answer:

p = 2y - 2e

Step-by-step explanation:

Eliminate the fraction by multiplying all terms by 2:

2( y−p/2=e) = 2y - p = 2e

Now subtract 2e from both sides, obtaining:  2y - 2e = 0.

Finally, add p to both sides:  p = 2y - 2e

PLSSSS HELPPPPP ASAPPPP

Answers

Answer:

b

Step-by-step explanation:

In the coordinate plane three vertices of rectangle ABCD are A(0,0), B(0,a) and D(b,0). What are the coordinates of point C?

Answers

Answer:

C (a, b) is the cordinates of point c.

Which equation defines a function whose inverse is not a function?
A. y=x^2
B. y=x
C. y=4x-2
D. y=3^x

Answers

Step-by-step explanation:

d maybe byeee jziziznssusuisbzs

Someone please help me ASAP because I am really stuck thank uuuuu!!!!!

Answers

81/200 is the answer

Answer:

2 3/10

Step by step explanation:

Help. Answer this please!

Answers

Answer:

b

Step-by-step explanation:

hard to explain right here sorry man

pleasei need a sulutoin​

Answers

Answer:

19 days

Step-by-step explanation:

Total cost: 587.50

He has: 150.00 + 200.00 = 350.00

He needs an additional: 587.50 - 350.00 = 237.50

He saves 12.50 per day.

137.50/12.50 = 19

Answer: 19 days

Answer:

19 days

Step-by-step explanation:

150+200=350

587.5-350=237.5

237.5/12.5=19

y= -7x-2
y+ 3 = -7x + 1
(
2,3)
no solution
an infinite number of solutions

Answers

Answer:

Infinite number of solutions.

Step-by-step explanation:

y = -7x - 2

y + 3 = -7x + 1

Subtract 3 from both sides:

y = -7x - 2

- this is the same as the first equation.

We can put any number of valid combinations of x and y into this equation.

So there are infinite solutions.

(a)
A farmer bought a tractor for Rs 400000 and sold it after using at 10% depreciation rate per year.what is the cost of the tractor after 2years?​

Answers

Answer:

320,000

Step-by-step explanation:

Step-by-step explanation:

Hope my answer helps mark me brainliest

Lanu draws a rectangle that is 10 inches wide and 20 inches
long. Which rectangle described below has the same area?
F 5 inches wide and 25 inches long
G 8 inches wide and 25 inches long
H 15 inches wide and 15 inches long
J 15 inches wide and 25 inches long

Answers

The answer is G because 10x20=200 and 8x25=200

Answer:

G

Step-by-step explanation:

A 10 x 20 inch rectangle has an area of 200 square inches. Therefore, we must find the rectangle that is also 200 square inches.

The formula of finding the area of a rectangle is multiplying width times length.

F) 5 * 25 = 125

G) 8 * 25 = 200

H) 15 * 15 = 225

J) 15 * 25 = 375

Therefore, rectangle G has the same area, since it is also 200 square inches.

Two out of every 12 students in a class say history is their favourite subject. There are 24 students in the class. How many students like history best?

Answers

ANSWER: 4
2/12 would equal to 4/24

The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),
and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?

Answers

Step-by-step explanation:

step 1. P(0, 1) -> P'(0, -1)

step 2. Q(0, 0) -> Q'(0, 0)

step 3. R(-2, 0) -> R'(2, 0)

If you roll a standard die, what is P(6) ? (probability of rolling a 6)

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 sides to a die, and 6 occupies one side, so the probability of rolling a 6 is 1/6.

Answer:

1/6 or 16.7%

Step-by-step explanation:

When you roll a standard die, the probability of getting 6 is 1/6 or 16.7%

What is the area of the figure?
Enter your answer in the box.
in2

Answers

110^in2 is what I got

Solve the following one-step equations using inverse operations.

1) X + 6 = 13

X =

2) Y - 5 = 22

Y =

3) 8M = -72

M =

4)

E =


Simplify the following problems by combining like terms.

5) 5x + 9 - 2x - 7 =



Simplify the following problem by using the Distributive Property.

6) -5(x + 8) =


Simplify the following problem by Factoring.

7) 10w - 20 =

Answers

1.) 7

2.) 27

3.) -9

5.)
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