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choli [55]
3 years ago
11

(answer fast please, thanks!)

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.  

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

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Step-by-step explanation:

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8 0
3 years ago
There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the
vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = \frac{\textup{56 + 57 + 58 }}{\textup{3}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}

or

Variance = \frac{1+0+1}{\textup{2}}

or

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = \frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}

or

Mean = 57

Variance = \frac{\sum{(Data - Mean)^2}}{\textup{n-1}}

or

Variance = \frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}

or

Variance = \frac{1+0+1+0}{\textup{3}}

or

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0
3 years ago
GEOMETRY Kymani has two equal-sized large pitchers and two equal-sized small pitchers. All of the pitchers together hold 40 cups
melamori03 [73]

Each of the small pitcher will contain 4 cups of water while each of the large pitcher will contain 16 cups of water.

Therefore,  two equal-sized large pitchers will hold 32 cups of water while the two equal-sized small pitchers will hold 8 cups of water

<h3>Larger Pitchers</h3>

The 2 larger pitchers are equal in size.

Let

each size of the large pitcher = x

Two large size pitcher = 2x

<h3>Smaller Pitchers</h3>

The 2 smaller pitchers are equal in size

let

each size of the pitcher = y

Two small sized pitchers = 2y

<h3>Pitchers Capacities</h3>

The whole pitchers holds 40 cups of water. Therefore,

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The capacity of one large pitcher minus the capacity of one small pitcher is 12 cups. Therefore,

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Combine the equations.

2x + 2y = 40

x - y = 12

x + y = 20

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y = 8 / 2

y = 4

x - 4 = 12

x = 12 + 4

x = 16

learn more on geometry here: brainly.com/question/26109140?referrer=searchResults

8 0
2 years ago
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