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SVEN [57.7K]
3 years ago
5

Dustin decides to try selling whole-wheat muffins and bagels at his farm stand. He has $60 to spend on ingredients and 8 hours t

o prepare the muffins and bagels that he will sell on opening day. One dozen muffins costs $10 and takes 1 hour to make, while one dozen bagels costs $15 and takes 3 hours to make. Graph all possible combinations of the food that meets his goal. Which combination of bagels and muffins would meet Dustin's goal?
A. 4 dozen bagels and 3 dozen muffins
B. 2 dozen bagels and 6 dozen muffins
C. 3 dozen bagels and 1 dozen muffins
D. 1 dozen bagels and 3 dozen muffins

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

The correct answer is D.

Step-by-step explanation:

Option A establishes that 4 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 60 and 12 hours on bagels. In total, $ 90 and 15 hours will be spent, so this option is not correct.

Option B establishes that 2 dozen bagels and 6 dozen muffins will be prepared, thus spending $ 60 and 6 hours on muffins and $ 30 and 6 hours on bagels. In total, $ 90 and 12 hours will be spent, so this option is not correct either.

Option C states that 3 dozen bagels and 1 dozen muffins will be prepared, which will spend $ 10 and 1 hour on muffins and $ 45 and 9 hours on bagels. In total, $ 55 and 10 hours will be spent, so this option is not correct.

Finally, option D establishes that 1 dozen bagels and 3 dozen muffins will be prepared, thus spending $ 30 and 3 hours on muffins and $ 15 and 3 hours on bagels. In total, $ 45 and 6 hours will be spent, with which this option is within the predetermined parameters, that is, the expense is less than $ 60 and the time is less than 8 hours.

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The most accurate definition of a multiplicand is the A. person responsible for the multiplication work. B. answer to a multipli
Lerok [7]

Answer:

d?

Step-by-step explanation:

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3 years ago
The mean heigh of American Males is 69.5 inches. The height of the 43 male presidents have a mean 70.78 inches and a standard de
Arisa [49]

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, \overline x = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = \overline x

The alternative hypothesis; Hₐ μ ≠ \overline x

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}

Therefore, we have;

t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

4 0
3 years ago
Can you please help me with this question and i will give you a Brainiest
Flauer [41]

Answer:

infinite soulutions

Step-by-step explanation:

m+7=3+m+4

m+7=m+3+4 (Combine Like Terms)

m+7=m+7

Step 2: Subtract m from both sides

m+7−m=m+7−m

7=7

4 0
3 years ago
Read 2 more answers
Trevor is reading a book for a book report. Last week, he read 35 pages of his book. This week he read 2.5 times as many pages a
Svet_ta [14]

Answer:85.5

Step-by-step explanation:

Use calculator

3 0
3 years ago
The photography club decided to go on a field trip to the Andy Warhol museum. They had to break into smaller groups once they go
Diano4ka-milaya [45]
A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.

B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127

We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)

In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y

In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5

x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5

So the cost of each student is $3.5, and the cost of each teacher is $5.

Hope this helps! :)




4 0
3 years ago
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