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3 years ago

Convert 3 2/7 into improper fractions 21/7 23/7 41/7 None of the above

Mathematics

1 answer:

Vesnalui [34]3 years ago

5 0

Hello,

The correct answer is B.

Further explanation: The first step is to multiply 3 by 7. That gives you 21, then add 21+2. Then put your denominator at the bottom.

Workspace:

3 * 7

=21

21 + 2

=23/7

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A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I co

lisov135 [29]

Answer:

The complete solution and step by step explanation is written below.

Note:

Here is the complete question you were probability asking as you may have unintentionally missed to mention the parts (a) and (b). So, after a little research, I figured out that this was probably the complete question you had meant to ask. So, I am answering based on the reference of this complete question that may indeed clear your concepts.

Complete Question:

A dairy company gets milk from two dairies and then blends the milk to get the desired amount of butterfat. Milk from dairy I costs $2.40 per gallon, and milk from dairy II costs $0.80 per gallon. At most $144 is available for purchasing milk. Dairy I can supply at most 50 gallons averaging 3.9% butterfat, and dairy II can supply at most 80 gallons averaging 2.9% butterfat. Answer parts a and b.

A. How much milk from each supplier should the company buy to get at most 100 gallons of milk with the maximum amount of butterfat? (Also, what IS the maximum amount of butterfat?)

B. The solution from part A leaves both dairy 1 and dairy 2 with excess capacity. Calculate the amount of additional milk each dairy could produce.

Step-by-step explanation:

Let A be number of gallons of the amount of milk the company bought from Dairy 1.

(100 - X) be the number of gallons of the amount of milk the company bought from Dairy 2.

Milk from dairy I costs $2.40 per gallon and milk from dairy II costs $0.80 per gallon.

So, the equation of total cost available for purchasing the milk be:

Cost = 2.40A + ( 100 - A)0.80

As $144 is the total cost available for purchasing the milk.

Hence, Cost equation would be as follows:

Cost = 2.40A + ( 100 - A)0.80

144 = 2.40A + ( 100 - A)0.80

144 = 2.40A + 80 - 0.80A

1.6A = 64

So, A = 64 ÷ 1.6

= 40 gallons

Calculation of gallons of Dairy 1 and Dairy 2:

gallons of Dairy 1 ⇒ A = 40 gallons

gallons of Dairy 1 ⇒ 100 - A = 100 - 40 = 60 gallons

The equation for Fat will be:

Fat for dairy 1 = 40 × 3.9% = 1.56

Fat for dairy 2 = 60 × 2.9% = 1.74

ADD = 1.56 + 1.74 = 3.3 %

Calculation Part B:

Dairy 1 will have = 50 - 40 = 10 gallons ( excess)

Dairy 2 will have = 80 - 60 = 20 gallons (excess)

Keywords: word problem, equation solving

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3 years ago

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

Mama L [17]

Total number of pizzas Juan ordered $20$

Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

$=\frac{55}{10} \times(2)$

$=\frac{110}{10}$

$=11$ pizzas

Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

$=204$ slices

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3 years ago

What are the period and amplitude of the function?

Marta_Voda [28]

Answer: it’s a

Step-by-step explanation:

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3 years ago

What are the coordinates of point of Y

OLga [1]

Answer:

Please provide a picture.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

We conduct a study to determine whether the majority of community college students plan to vote in the next presidential electio

Marizza181 [45]

Answer:

we can conclude that more than 50% of community college students plan to vote in the next presidential election

Step-by-step explanation:

Decision Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Null hypothesis H0: 50% of community college students plan to vote in the next presidential election

H0: p = 0.50

Ha: More than 50% of community college students plan to vote in the next presidential election

Ha: p > 0.50

P-value = 0.02

From the decision rule;

Since the p-value for this study is less than the significance level.

0.02 < 0.05

So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.

Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election

4 0

3 years ago