All categories

3 years ago

Alexander and his children went into a grocery store and he bought $6 worth of

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

Alexander bought 2 peaches and 5 bananas.

Step-by-step explanation:

Since Alexander and his children went into a grocery store and he bought $ 6 worth of bananas and peaches, and each banana costs $ 0.60 and each peach costs $ 1.50, and he bought a total of 7 bananas and peaches altogether, in order to determine the number of bananas, x, and the number of peaches, y, that Alexander bought, the following calculation must be performed:

1.5 x 7 + 0.6 x 0 = 10.5

1.5 x 6 + 0.6 x 1 = 9.6

1.5 x 5 + 0.6 x 2 = 8.7

1.5 x 4 + 0.6 x 3 = 7.8

1.5 x 3 + 0.6 x 4 = 6.9

1.5 x 2 + 0.6 x 5 = 6

Therefore, Alexander bought 2 peaches and 5 bananas.

You might be interested in

Given the following Venn diagram, choose the correct set for M UN

Reil [10]

Answer:

Third choice: {3, 4, 6, 7, 9}

Explanation:

Please, find the Venn diagram attached.

You have to find the set that represents the union of the set M and N (M ∪ N). That is a set with the elements that belong either to set M or set N.

The elements that belong to the set M are the numbers inside the circle M: 3, 4, 7 and 9.

The elements that belong to the set N are the numbers inside the circle N: 4, 6 and 7.

The complete list of the numbers in the union set is 3, 4, 6, 7, and 9, as you must not repeat the elements that belong to both sets.

So, the set that represents M ∪ N is the third option {3, 4, 6, 7, 9}.

4 0

3 years ago

Find the value of the expression -x+y*z-y when x= -3 ; y= -2 and z=5

Anuta_ua [19.1K]

Answer:

-15

Step-by-step explanation:

-3+-2*5-2=-15

7 0

3 years ago

HELP How many pieces 3/7 of a foot each can I make out of 7/2 feet of rope?

AVprozaik [17]

Your answer is (8 1/6) hope it helps and have a great day!

4 0

3 years ago

**The following scenario is for #12, #13, and #14 on this test.** A school chorus has 90 sixth grade students and 75 seventh gra

givi [52]

Answer:

The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

A school chorus has 90 sixth-grade students and 75 seventh-grade students.

Factor these two numbers:

Find GCF(90,75):

Now,

Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

6 0

2 years ago

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

Learn more about word problems and equation solving from brainly.com/question/8917703

#learnwithBrainly

5 0

3 years ago