5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?

Answers

Answer 1

Answer:

A cookie is $1.50.

Step-by-step explanation:

Variable x = cost of cookies

For each child means the 7 guests plus Mrs. Perkins' son which equals 8.

Set up an equation:

(2x)8 + (2.75)8 = 46

Use distributive property:

16x + 22 = 46

Isolate variable x by subtracting both sides by 22:

16x = 24

Isolate variable x by dividing both sides by 16

x = 1.5

Check your work:

2(1.5) × 8 + (2.75)8 = 46

3 × 8 + 22 = 46

24 + 22 = 46

46 = 46

Correct!

Answer 2

Answer: $1.50 per cookie

Step-by-step explanation:

We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.

Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)

2.75(8) = $22

Now take the total cost of 8 cupcakes and subtract it from the total.

46 - 22 =  $24

24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.

(2*8)X = 24

16x=24

x= $1.50

Check:

8[ (1)(2.75) + 2X ] = 46

8[ 2.75 + (2) (1.50) ] = 46

22 + 24 = 46

46 = 46


Related Questions

m/7 -4=3 help I'm either slow or this is easy..

Answers

Answer:

m=49

Step-by-step explanation:

m/7 = 3+4

m/7 = 7

m=49

P.S.  If you like my answer ,Can you please give me brainlist?

Choose the correct simplification of (9x3y2)2.

Answers

Answer:

The Correct simplification is: (3².2x³y²)

Answer:

81x^6y^4

Step-by-step explanation:

I need help dont just add both numbers ill give extra hundrend after you answer

Answers

Answer:

28

Step-by-step explanation:

According to the question,

2 helmets and 1 football cost $80, while 1 helmet and 2 football cost $76

Let x represent cost of football and let y equal cost of helmet.

Write the system of equations,

[tex]x +2 y = 80[/tex]

[tex]2x + y = 76[/tex]

Eliminate the x variable by multiplying the top equation by -2

[tex] - 2x - 4y = - 160[/tex]

[tex]2x + y = 76[/tex]

Add both equations.

[tex] - 3y = - 84[/tex]

[tex]y = 28[/tex]

So one helmet cost $28

Can someone give me a simple explanation of how to calculate probability? Thanks!

Answers

Step-by-step explanation:

Determine a single event with a single outcome. ...Identify the total number of outcomes that can occur. ...Divide the number of events by the number of possible outcomes. ...Determine each event you will calculate. ...Calculate the probability of each event.

pls mark me the brainliest pls

what they said i guess, i jus need points so i can get answers ya feel

can any one solve this please....I kinda need this​

Answers

9514 1404 393

Answer:

t₂ = 2t₃ = 2

Step-by-step explanation:

The given expression says ...

  [tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]

Answer:

[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]

[tex]9/16=3/4t[/tex]9/16=3/4t

Answers

Answer:

4/3

Step-by-step explanation:

9÷16=3÷4t

cross multiply

36t=48

divide both sides by 36

t=48÷36

t=4÷3

besties i need help! Select two reasonable first steps for solving the equation 2(4x-11)=10.

A. Divide each side of the equation by 2.
B. Divide each side of the equation 10.
C. Multiply each side of the equation by 2
D. Multiply each side of the equation by 1/10
E. Add 11 to each side of the equation.
F. Use the Distributive Property to simplify the right side.
G. Use the Distributive Property to simplify the left side.

Answers

It's gonna be g because you want to get rid of the parenthesis. So your left side would become 8x-22

Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?

Answers

Answer:

120 fluid ounces

Step-by-step explanation:

1 cup = 8 fluid oz

Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.

So that's our answer

Hope this helped!

[I know this is a bit rude asking, but can I please have a Brainliest?]

7k -2(3k + 1) - 9
Y’all I need help.

Answers

Answer:

k - 11

Step-by-step explanation:

7k - 2(3k +1) - 9

So first we start by multiplying out the brackets. Multiply 2 by 3k and 1 then it becomes:

7k - 6k + 2 - 9

Then collect like terms subtract 6k from 7k and 9 from 2:

k - 11

HOPE THIS HELPED

what is the radius of 16 cm simplest form?

Answers

If the 16 cm is the diameter then the radius is 8 cm

please help me is for my homework​

Answers

Answer:

126/100

Step-by-step explanation:

126% / 100

= 1.26

Answer:

1.26

Step-by-step explanation:

divide 126 by 100 first

[tex]\frac{126}{100}[/tex]

you will get

1.26

can someone please help

5(1+2m)=1/2(8+20m)

Answers

Answer:

no solutions

Step-by-step explanation:

5(1+2m)=1/2(8+20m)

5+10m = 4+10m

10m-10m= 4-5

No solutions

order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16

Answers

Answer:

-2 1/3, 1/16, √15, 4^2

Following order from least to greatest.

18. Mabel gave Margo a bag containing red, white, and
blue marbles. The bag contained half as many red
marbles as blue ones, and 1/4 of the marbles in the
bag were white. If 8 of the marbles were red, how
many marbles were in the bag?

Answers

So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.

So the answer comes out to be 30 marbles in the bag

Answer:

32.

Step-by-step explanation:

Let the number of red marbles be x then the number of blue = 2x

So we have 8 red and 16 blue marbles.

If the total number of marbles are y marbles the number of white one = y/4.

So  y = y/4 + 8 + 16

3/4y = 24

y = 24 * 4/3

= 96/3

= 32 marbles.

=

SOMEONE HELP PLEASE IT'S DUE IN A FEW MINUTES

if f(x)=3x and g(x)=x+2 find (f-g) (x)

Answers

(f-g)(x) = f(x) - g(x)

= (3x) - (x+2)

= 3x - x - 2

= 2x - 2

A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
A.1188
B.1200
C.1220
D.1224​

Answers

Answer:

Hi there!

We've given with the base area and height. We know the formula for base area

Base area = πr²

154 = 22/7 × r²

154 × 7/22 = r²

49 = r²

√49 = r

7 = r

Now

TSA = 2πr(h + r)

TSA = 2 × 22/7 × 7(7 + 20)

TSA = 44(27)

TSA = 1188 cm²

Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B

Answers

Answer:

Step-by-step explanation:

Sequence is geometric.

[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]

Last term is 8; 5; 2

Numbers of sequence B= 11 or 12 or 13

What is the solution to this system of equations?

Please help!!

Answers

Answer:

(5,1)

If you use substitution it'll be very easy.

In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.

Final answer is (5,1).

The solution to the system of equations is x = 5, y = 1

The given system of equations is:

x + y = 6......(1)

x = y + 4......(2)

Substitute the equation x = y + 4 into the equation x + y = 6

y + 4 + y = 6

Collect like terms

y + y = 6 - 4

2y = 2

y = 2/2

y = 1

Substitute y = 1 into equation (2)

x = 1 + 4

x = 5

The solution to the system of equations is x = 5, y = 1

Learn more on simultaneous equation here:

https://brainly.com/question/16863577

Solve for r.
-5 - 9r = -14 - 18r
Submit

Answers

Answer:-1

Step-by-step explanation:

Answer:
R= -1

Explanation:

1) Distribute if needed
2) Clear fractions if needed
3) Combine like terms if needed
4) Move variables to one side by using inverse operation
5) Isolate the variable by using add/subtraction then multiply/divide

-9r-5= -18r-14
+18r +18r
———————
9r-5 = -14
+5 +5
———————
9r= -9

9r = -9
— —
9 9
-9/9= -1

Can you answer this and simplify this?
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1

Answers

Answer and Step-by-step explanation:

The length of the rectangle is 3 + w (w represents the width).

The polynomial representing the area of the rectangle:

a (area) = w(3 + w) = w^2 + 3w

A)

a = 1

b = 2

c = 3

d = 1

B)

w = 4

(4)^2 + 3(4) = 8 + 12 = 20

e = 20

#teamtrees #PAW (Plant And Water)

I hope this helps!

Calculate the cost for the fuel needed for Sam to drive to Nanaimo to tofino

(15 points)

Answers

Answer:

cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78

Step-by-step explanation:

Diatance from Nanaimo to Tofino is 207km.

Now:

fuel consume in 100km= 12L

fuel consume in 1km=12/100L

We have to find consumption of fuel in 207km.

fuel consume in 207km=12/100 × 207km

= 24.84L

Price of 1 liter= $1.40

Price of 24.84 liters=$1.40 × 24.84

=$34.78

Note:If you have question about it you can ask.Thanks

solve for w 3w + 6w - 19 = -91
please

Answers

Hi ;-)

[tex]3w+6w-19=-91\\\\3w+6w=-91+19\\\\9w=-72 \ \ /:9\\\\\huge\boxed{x=-8}[/tex]

Answer:

w = -8

Step-by-step explanation:

Given:

3w + 6w - 19 = -91

Isolate w, add 19 to both sides:

3w + 6w = -91 + 19

Simplify both sides:

9w = -72

Divide both sides by 9:

w = -72/9w = -8

how far is the point (8,6) from the origin​

Answers

The answer is 14 away

a survey of 100 high school students provided this frequency table on how students get to school. find the probability that a random selected student either takes the bus or walks. need help ASAP. picture is included.

Answers

Answer:

60% or 3/5

Step-by-step explanation:

Add up how many students take the bus: 50, and how many walk:10

Put that number over 100 and simplify: 60/100=6/10=3/5

0.736euros= 1us dollar

Answers

Answer:

0.86 United States Dollar

Step-by-step explanation:

there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games

Answers

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

The reason for arriving at the above probability is as follows:

The given parameters are;

The number of teams in the tournament, n = 60

The chance of a team winning a game = 50% = 0.5

The number of ties = No ties

The required parameter:

The probability that no two teams win the same number of games

Method:

Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes

Solution:

The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770

The possible outcomes = 2; Winning or losing

The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰

The number of games won by each team is between 0 and 59

The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59

Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!

[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]

The probability that no two teams win the same number of games is given as follows;

[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]

Therefore;

[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]

The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³

Learn more about probability theory here:

https://brainly.com/question/1539712

ok how do you add pictures​

Answers

Ohh well when u type in another question it should show a pic option at the bottom once your done typing whatever is u wish to ask :)

Write the conjugate of the following complex
number:
-6i

Answers

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]

4/9 and 10/3 least common denominator?

Answers

Answer:

4/9 and 30/9

Step-by-step explanation:

9, 18, 27, 36

3, 6, 9, 12,

4/9 already has 9 denominator

10/3 × 3/3= 30/9

so now both numbers have common denominators.

4/9 and 30/9

4/9 and 30/9
I did the work

The cost of a repair, which depends on the hours of labor it takes to make the
repair, is $200. Which of the following best shows this is
otation?
A. Hours($200) = cost
B. Hours(cost) = $200
C. Cost(hours) = $200
D. Cost($200) = hours

Answers

Answer:

I think it's B. Hours(cost) = $200 but I could be wrong

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