The prom committee is buying Brownies and Cookies. Brownies cost $2 each and Cookies cost $1.50. They need 45 treats and have $82.50 to spend. How many of each should they buy? You need Variables, Equation, and have to explain the solution

Answers

Answer 1

Answer:

Number of brownies = 30

Number of cookies = 15

Step-by-step explanation:

Given:

Cost of each brownie = $2

Cost of each cookie = $1.5

Total number of treats = 45

Total amount = $82.50

Find:

Number of cookies and brownie

Computation:

Assume;

Number of brownies = b

Number of cookies = c

So,

b + c = 45........eq1

2b + 1.5c = 82.50...........eq2

Eq1 x 2

2b + 2c = 90 ..................eq3

Eq 3 - Eq 1

0.5c = 7.5

c = 7.5 / 0.5

Number of cookies = 15

Number of brownies = 45 - Number of cookies

Number of brownies = 45 - 15

Number of brownies = 30


Related Questions

El diametro de rueda de esta bicicleta mide 80 cm. Si ha dado 10.000 vueltas, ¿cuantos kilimetros ha recorrido?

Answers

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.

Answers

Answer:

b = 2a + 3

Step-by-step explanation:

Here, we want to write an expression for b in terms of a

Mathematically, the formula for the slope of a line is

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

m is 2

(x1,y1) = (-1,1)

(x2,y2) = (a,b)

Substituting these values

2 = (b-1)/(a-(-1))

2 = b-1/a + 1

2(a + 1) = b-1

2a + 2 = b- 1

2a + 2 + 1 = b

b = 2a + 3

Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1.
a) For di = X - Y , what does it mean for d; to be positive? (Did they react faster to the red or blue stimuli?)
b) What is the null and alternative hypothesis?
c) What is the test statistic and p-value?
d) Should we reject the null hypothesis?

Answers

Answer:

the answer is either B or C i beloeve

Please help, I will give brainliest to whoever helps!

Answers

Answer: 0 solutions, II only, 1 solution

Step-by-step explanation:

When the first equation is factored, there are no real solutions that can be found. b^2 - 4ac has to be greater than 0 to have two solutions. x^2 + 2x + 1 is (x + 1) ^ 2, so there is one solution.

The swimming pool shown is a right prism with concave hexagonal bases.... pls help

Answers

3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

-6x+4y=-12 in slope intercept form

Answers

Slope intercept form is y=Mx+b
First add 6x to each side
Then you get 4y=6x-12
Next divide each side by 4 to get y alone.
Then you get y= 6/4x-3.

The slope intercept form is y= 3/2 x - 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

We have the Equation as

-6x + 4y= -12

As, the slope intercept form is y= mx+ b

So, 4y= -12 + 6x

y= -12/4 + 6/4x

y = -3 + 3/2x

y= 3/2 x - 3

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Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done

Answers

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

Another bowler, Ryan Shafer, has a mean absolute deviation of 5. Based on the mean absolute deviation of Norm Duke, who has been the more consistent bowler?

Answers

Answer:

Ryan is a more consistent performer

Step-by-step explanation:

The complete question is

HEL 1. Shown are the final scores for Norm Duke in the past eight bowling tournaments.

299, 281, 285, 269, 280, 269, 286, 287

Part A: What is the mean absolute deviation of Norm Duke’s scores?

A.

7.50

B.

7.00

C.

7.25

D.

6.75

Part B: Based on the mean absolute deviation from Part A, who has been the more consistent bowler if Ryan Shafer has a mean absolute deviation of 7?

Solution

First we will find the mean deviation of Duke is 7.5

The standard deviation of Ryan is 7.0. This means that the average variation in case of Duke is higher than that of average variation of Ryan.

Hence, Ryan has been more consistent performer

Please help, I need this answer ASAP

Answers

Answer: x= (2/3,0) y=(0,2)

X=(4,0) y=(0,8)

X=(-3,0) y=(0,-3)

Step-by-step explanation:

find the area of the pentagon in the diagram below.



15 square inches

20 square inches

25 square inches

28 square inches

Answers

The answer is 28 square inches I think

The area of the pentagon is approximately 15 square inches.

To find the area of the pentagon, we can use the formula for the area of a regular pentagon:

Area = (5/4) * (s²) * (1/tan(π/5)),

where "s" is the length of the side of the pentagon.

Given that the sides of the pentagon are as follows:

Two smallest sides = 2 inches,

Two largest equal sides = 4 inches,

One other equal side = 3 inches.

Since the pentagon is not a regular pentagon, we need to find the area by dividing it into different shapes and then calculating their individual areas.

The pentagon can be divided into three shapes: a rectangle and two triangles.

Rectangle:

The two smallest sides (2 inches) form the length and width of the rectangle.

Area of the rectangle = Length * Width = 2 inches * 2 inches = 4 square inches.

Triangle 1:

The two largest equal sides (4 inches) and one of the 3-inch sides form a triangle.

To calculate the height (h) of the triangle, we can use the Pythagorean theorem, since it is a right triangle.

h² = (4 inches)² - (1.5 inches)², [1.5 inches is half of the 3-inch side]

h² = 16 inches² - 2.25 inches²,

h² = 13.75 inches²,

h ≈ 3.7 inches.

Area of Triangle 1 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Triangle 2:

The two largest equal sides (4 inches) and the other 3-inch side form another triangle.

Using the same height (3.7 inches) from Triangle 1:

Area of Triangle 2 = (1/2) * Base * Height = (1/2) * 3 inches * 3.7 inches ≈ 5.55 square inches.

Now, to find the area of the pentagon, we add the areas of the rectangle and the two triangles:

Total Area = Area of Rectangle + Area of Triangle 1 + Area of Triangle 2

Total Area = 4 square inches + 5.55 square inches + 5.55 square inches

Total Area ≈ 15.1 square inches.

Therefore, the area of the pentagon is approximately 15.1 square inches.

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Factor the trinomial below.
x^2+4x-12

Answers

Answer:

(x+6)(x-2)

Step-by-step explanation:

using the x method, the only two numbers that multiply to get -12 and add to get 4 are 6 and -2

Answer:

(x+6)(x-2) A P E X :)

El 20%de los estudiantes de un colegio que tiene 240 alumnos practican deporte ¿cuántos estudiantes practican deporte?

Answers

Answer:

20% de 240=20×240÷100= 48 practican deporte

Describe a circumstance where there would NOT be both a positive and a negative solution, when finding the square root.​

Answers

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

What is square root?

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Find the equation of the line shown

Answers

Answer:

y=x+1

Step-by-step explanation:

i hope this helps :)

Answer:

y=x+1

Step-by-step explanation:

The gradient is y2-y1:x2-x1 which is 9-1:8-0 ; for example using two points on the line. The gradient is 1, so y=x is the first thing we get. Then you will use a point that is on the line in that equation. For example: y=x, 2=1. So it cannot be like this so we have to add 1. 2=1+1, therefore y=x+1

Which statements is true about figure DEF?

(I NEED HELP PLEASE)
ITS DUE TODAY

Answers

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

PLEASE ANSWER ILL TRY AND MARK BRAINLIEST PLEASE AND THANK YOU

Answers

It’s this

Sorry if I’m wrong

Question and answers are in the picture

Answers

Answer:

C

Step-by-step explanation:

A x 4pi=4piA = C^2

square root both sides and here you go

hope that answers your question

For every $3 Marisa spends, Andie spends $5. Andie spends $120 more than Marisa does. How many dollars does Andie spend?

Answers

Answer:

Andie spends $300   (Marisa spends 180)

Step-by-step explanation:

X= What Marisa spends

3------------5

X----------- x+120

CROSS MULTIPLICATION

5X = 3X+ 360

2X = 360

X = 180

     180+120 = 300

Andie spend $300.

What is arithmetic operations?

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental numerical activities (+, - , ×, and ÷) we use in our day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given Marisa spend $3 and same time Andie spend $5,

let when Marisa spend $x,

spend of Andie = x + 120

spend of Marisa and Andie are in ratio and equal

3 / 5 = x/(x + 120)

3(x + 120) = 5x

3x + 360 = 5x

2x = 360

x = 180

spend of Andie = x + 120 = 180 + 120 = $300

Hence the spend is $300.

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Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?

Answers

1) sometimes
2)always
3)never

Is yiur answer

please help find median and mean of each data display.

Answers

Answer:

median: 60

mean:44

Step-by-step explanation:

80-20=60

30+50+80+40+20=220

220÷5=44

Zac collected 4 pounds of aluminum cans. Brittney collected 1 1/3 times as many pounds as Zac. How many pounds of aluminum cans did Brittney collect? *

Answers

Answer:

5 1/3

Step-by-step explanation:

You turn 1 1/3 into an improper fraction by multiplying 3 time 1 plus 4 and you get 4/3. you multiply 4/1 time 4/3 and get 16/3. 16/3 divided by 3 = 5 with a remainder of 1 and get 5 1/3

What is the vertex of y=-5(x+3)^2+5

Answers

Answer:

(-3,5)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex.

PLEASE HELP I really need help please heplp

Answers

Answer:

im not sure but i think its A

Step-by-step explanation:

A triangular prism has base edges 3 cm, 6 cm, and 7 cm long. Its lateral area is 464 cm^2. What is the height of the prism? Simplify your answer.

Answers

Answer:

A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is

300 cm2.

What is the height of the prism?

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

mr. Smith took a job through an employment agency the job pay $66000 per year he must pay a fee to the employment agency the fee is 15% of his first four weeks pay how much money must Mr Smith pay the agency to the nearest cent​

Answers

Answer:

761.54$

Step-by-step explanation:

Step-by-step explanation:

the answer is £761.54

if I am right plz give brainliest

Please help! :D Pic is below and dont send links-

Answers

Answer:

Frogs : 7, 14, 28

Turtles : 3, 6, 12

Step-by-step explanation:

Multiply equivalently with the same multiple.

Equivalent ratios : (7 : 14) (6 : 12)

Answer:

7*2=14

14*2=28

3*2=6

6*2=12

7/3

14/6

28/12

what is 2x+4
dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Usinf the scatter plot, select all the true statements

Answers

Answer:

1 and 5

Step-by-step explanation:

17 cm
17 cm
8 cm
3 What is the surface area of the triangular
prism shown?
A 1,430 cm?
B 2,360 cm?
35 cm
C 2,480 cm?
D 4,200 cm
I

Answers

D ststjdkgdgk dhdgkdlydky
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