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ASHA 777 [7]
3 years ago
9

The school band sold cupcakes to raise money for new uniforms. Each of the 40 band members baked cupcakes to sell. They either b

aked chocolate or vanilla cupcakes.
Each student baked 24 cupcakes.
Each cupcake was sold for $2.
All of the cupcakes were sold.
A total of $1,200 was earned from the vanilla cupcakes.
How much did the band earn from the chocolate cupcakes?
Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

$720

Step-by-step explanation:

$1,200 divided by 2 (600) equals how many vanilla cupcakes there were.

40 people times 24 cupcakes each person (960) equals how many total cupcakes there were.

The total amount of cupcakes minus the amount of vanilla cupcakes equals the amount of chocolate cupcakes (960-600=360).

360 chocolate cupcakes times the amount each cupcake was sold for equals the amount of money raised from the chocolate cupcakes (360x2=720).

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Answer:

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6 0
3 years ago
Jake bought 2 shirts and 1 pair of pants for $6. Mike bought 1 shirt and 1 pair of pants for $4. How much is each shirt and each
EastWind [94]

The cost of a shirt and a pair of pants is the same and is equal to $2. The correct option is B.

<h3>What is a solution to a system of equations?</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)

Let x represent the cost of a shirt, while y represent the cost of a pair of pants.

Given that Jake bought 2 shirts and 1 pair of pants for $6. Therefore, the equation that represents this situation is,

2x + y = 6 ..... equation 1

Also, Mike bought 1 shirt and 1 pair of pants for $4. Therefore, the equation that represents this situation is,

x + y = 4

Solve the equation for x,

x = 4 - y

Substitute the value of x in equation 1,

2x + y = 6

2(4 - y) + y = 6

8 - 2y + y = 6

-y = 6 - 8

-y = -2

y = 2

Substitute the value of y in equation 1,

2x + y = 6

2x + 2 = 6

2x + 2 = 6

2x = 6 - 2

2x = 4

x = 4/2

x = 2

Hence, the cost of a shirt and a pair of pants is the same and is equal to $2.

Learn more about finding the solution graphically here:

brainly.com/question/26254258

#SPJ1

6 0
1 year ago
1/2-3/16 hurry pls cause I really need it don’t judge me
damaskus [11]
The answer is 2/16 if you do the math with the numerators only.
7 0
3 years ago
The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). What is the equation of the function in vertex
melomori [17]

Answer:

y = -(x + 5)² + 4

Step-by-step explanation:

The roots are -3 and -7, so:

y = a (x + 3) (x + 7)

Distribute and complete the square:

y = a (x² + 10x + 21)

y = a (x² + 10x + 25 − 4)

y = a (x² + 10x + 25) − 4a

y = a (x + 5)² − 4a

The vertex is (-5, 4), so a = -1.

y = -(x + 5)² + 4

3 0
3 years ago
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