Mathematics High School

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

sara bought 36 ounces of cheese for 3.24 what was the unit price of cheese​

Answers

Answer:

$0.09

Step-by-step explanation:

Unit price= total price/ total units

$3.24/ 36oz= $0.09

Answer:

$0.09

Step-by-step explanation:

i just used my homework for this so i don't really know how to explain it cause i just had my answer there.

( 3.24 / 36 = $0.09 )

8x-5 = 9+7x What is the solution please show work if you can

Answers

Step-by-step explanation:

8x-5=9+7x

8x-7x=9+5

x=14

Answer:

8x-5 = 9+7x

8x-7x =9+5

x = 14

Simplify (p^2)^5
Paper one maths gcse question higher

Answers

Answer:

the answer is p^10 I put the explanation up

ayudaaa plis
7-4=
6-2=
-3-2=
-8+9=
-9+5=
1+10=​

Answers

Answer:

7-4=3

6-2=4

-3-2= -5

-8+9=1

-9+5= -4

1+10=11

Step-by-step explanation:

No es tan difícil, puedes g0oglearlo

Answer: 3, 4, -5, 1, -4, 11

Step-by-step explanation:

The mode and median of the data set below have the same value. What is the missing number?


[4, 15, 7, 13, ?, 10

please someone help!​

Answers

10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)

A train is traveling at 30 miles per hour.

How long will it take the train to travel 180 miles?
FREE BRAINLIEST!!!

Answers

Answer:

Six hours

Step-by-step explanation:

Answer:

6 Hours

Step-by-step explanation:

If the train travels at 30mph for 6 hours it will have traveled 180 miles.

30 • 6 = 180

I hope this helps

Which of these graphs is the solution set for the equation y = -x?

Answers

B I think could be wrong sorry

Will give, Branliest.​

Answers

m=2

y=7

m=10

a=28

t=65

h=8

Answer:

m=2

y=7

m=10

a=28

t=65

h=8

Step-by-step explanation:

Can someone smart at math help me cause a girl tried and can’t do this vodo thing my teacher gives me

Answers

3: t will equal 60°
180 divided by 3 is 60

Help me plssssssssssssssssssssa

Answers

Answer:

i believe the answer is A.

Step-by-step explanation: Because the angle PQS is not a 90 degree angle it should equal 180 degrees, it is now lowered down to the answers A. and B. Answer B. has 2x and answer A. has just x. if it were to be 2x then the x would  have to represent 30 degrees but the point plotted x does not equal 30 degrees therefore leaving the last answer as A. x-60=180

the slope is -3/2, the y intercept is 1. Write an equation for the linear function, f(x)

Answers

Answer:

f(x)=-3/2x+1

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

y=f(x)

b + 4.8 = 8.09
b + 4.8 x = 8.09x
b =

Answers

4.8 x = 0.89 . that will be the answer
B=3.29
X=1
Hope it helps<3!

2x+5y=-11.
-8x-5y=-11

Answers

8x+5y-11=0 (That’s -8x5y=-1 simplified

Which statement describes the translation from the graph of y = |x| to the graph of y = |x - 1| - 5?

Answers

Answer: Shift 1 unit right and 5 units down

Step-by-step explanation:

Evaluate the function h(t)= t2 - 8t+12 at t=0. Then plot the point on the graph.

Answers

Answer: boi

Step-by-step explanation:

What is the distance between points A and E on the coordinate plane below? a : (4,3) e : (-5,3)​

Answers

Input Data :
Point 1
(
x
A
,
y
A
)
= (4, 3)
Point 2
(
x
B
,
y
B
)
= (3, -2)

Objective :
Find the distance between two given points on a line?

Formula :
Distance between two points =
√
(
x
B
−
x
A
)
2
+
(
y
B
−
y
A
)
2


Solution :
Distance between two points =
√
(
3
−
4
)
2
+
(
−
2
−
3
)
2

=
√
(
−
1
)
2
+
(
−
5
)
2

=
√
1
+
25

=
√
26
= 5.099
Distance between points (4, 3) and (3, -2) is 5.099

ay you should help me with this tyty

Answers

Answer:

C. [tex]m=20[/tex], [tex]n=10[/tex]

Step-by-step explanation:

Since the triangle is a special 30°-60°-90° triangle, the hypotenuse is twice the size of the shortest leg. The long leg is [tex]\sqrt{3}[/tex] of the short leg.

How do you find the experimental probability?

Answers

Conduct an experiment and record the number of times the event occurs and the # of times the activity is performed then divide the two numbers to obtain the Experimental Probability.

One of the legs of a right triangle measures 7 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

18.4

Step-by-step explanation:

By using the pythagorean theorem (a^2 + b^2 = c^2)

Write an equation (division) with fractions that equals 6/8
:)

Answers

Answer:

3/4 ÷ 1/2

RECHECK:

3/4 ÷ 1/2  

3 / 8 x 2 / 1  = 6/8

hOPE ITS RIGHT!

Answer:

Step-by-step explanation:

HCF of 6 and 8 is 2

6÷2 / 8÷2 = 3/4

Please help due in 10 minutes!!!!!!!

Answers

Answer:

23.42 ft is the perimeter of the hole that should be cut in the wall.

PLEASEEEEEEEE HELPPPPPPPPP I WILL GIVE BRAINLIEST

Answers

These triangles are not similar.  The triangles are not similar because the proportion 8/9 = 2/3 is false.

calculate x. (geometry)
im in need of help, its due in like 14 minutes

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Isosceles triangles.

Since, the sides are equal, we can equate them, so we get as,

==> 16x + 13 = 24x -19

=> 24x -16x = 13+19

=> 8x = 32

x = 4

hence ==> x = 4.

What is the mode, mean, median for these numbers?
{18,18,63,63,84}

Answers

Answer:

Mean= the average of the number set= 18+18+63+63+84=246/5=49.2

Median- the number in the middle of the set= 63

Mode- the number(s) that repeat=1 8, 63

Range- the amount between the highest and lowest numbers= 84-18=66

Step-by-step explanation:

The mode, mean, and median of the data will be 18 or 63, 49.2, and 63, respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The data set is given below.

18, 18, 63, 63, 84

The mode of the data is given as,

Mode = Frequency of the repeated number

Mode = 18 and 63

The mean of the data is given as,

Mean = (Sum of observations) / (Number of observations)

Mean = (18 + 18 + 63 + 63 + 84) / 5

Mean = 246 / 5

Mean = 49.2

The median of the data is given as,

Median = (n + 1)th / 2

Median = (5 + 1)th / 2

Median = 6th / 2

Median = 3th

Median = 63

The mode, mean, and median of the data will be 18 or 63, 49.2, and 63, respectively.

More about the statistics link is given below.

https://brainly.com/question/10951564

#SPJ2

is 144 a non real number yes or no

​

Answers

Answer:

No

Step-by-step explanation:

It is not a non-real number, as it it is a real number. Real numbers are any numbers that can exist, and the only imaginary(non-real) numbers are the square roots of negative numbers.

Consider the sequence shown.

436, 218, 109, 54.5, 27.25,...



Select the correct explicit formula for the sequence.

a
g_n=436·0.5^{(n-1)}

b
g_n=0.5·436^{(n-1)}

c
g_n=436·2^{(n-1)}

d
g_n=2·436^{(n-1)}

Answers

Answer:

[tex](a) \to \: g_n=436·0.5^{(n-1)}[/tex]

i think the answer is

A.gn =436 . 0.5 (n-1)

solve for x please thanks

Answers

Answer:

x=[tex]\frac{10}{14}[/tex]

Step-by-step explanation:

y=7x-2

2(7x-2)-4x=10

14x-4-4x=10

14x-4x=10-4

10x=14

x=[tex]\frac{10}{14}[/tex]

The person that just answered is wrong the answer is x=7/5

Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?

Answers

12(x-3) + 18 = 4(2x-3)

12x-36+18 = 8x-12

12x -18 = 8x-12

12x-8x = -12 + 18

4x = 6

x = 6/4 or 3/2

one solution A

Answer:

3/2, one solution.

Step-by-step explanation:

12(x-3)+18=4(2x-3)

12x-36+18=8x-12

12x-8x-18=-12

4x-18=-12

4x=-12+18

4x=6

x=6/4

simplify

x=3/2

how to solve b 2 + 5b -35 = 3b

Answers

here you go!..........

An Atlanta football player averages 67 attempts for 518 yards. The team needs 39 yards to win the bowl game, Calculate how many attempts will be needed if the footbo player keeps the ball moving at the same rate.​

Answers

518/67 = approximately 7.7313 yards per attempt

39/7.7313 = 5.0444 attempts
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