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shtirl [24]
3 years ago
15

Joe bought 5 apples and 4 bananas for $6. Dawn bought 3 apples and 6 bananas for $6.30. How much foes each apple and each banana

cost?
Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

Apple = $0.6

Banana = $0.75

Step-by-step explanation:

Let us represent Apple by A and Banana by B

For Joe,

5A + 4B = 6       (1)

For Dawn

3A + 6B = 6.3     (2)

To eliminate A, Multiply equation (1) by 3 and equation (2) by 5

15A + 12B = 18          (3)

15A + 30B = 31.5       (4)

subtracting equation (4) from (3)

15A - 15A +12B - 30B = 18 - 31.5

-18B = -13.5

divide through by -18

-18B/-18 = -13.5/-18

B = 0.75

substitute 0.75 in equation (1)

5A + 4B = 6

5A + 4(0.75) = 6

5A + 3 = 6

subtract 3 from both sides

5A + 3 - 3 = 6 - 3

5A = 3

divide through by 5

5A/5 = 3/5

A = 0.6

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Cloud [144]

Answer:

8 family members.  Average of 2.6 fish per person.

Step-by-step explanation:

How many family members caught fish?  Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).

3 + 1 + 0 + 4 = 8 family members.

Average number of fish caught <u>per person</u>.  This is the total number of fish caught divided by the total number of people.

This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.

Multiply number of fish (column 1) by the number of people (column 2):

1 x 3  +  2 x 1  +  3 x 0  + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.

21 fish.  8 people.  On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.

Hint:  the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.

Good Luck!

5 0
2 years ago
Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?
photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0
3 years ago
Is 5 and four fifths = 5.8
nekit [7.7K]
Yes. That's exactly right. Good work.
6 0
3 years ago
Read 2 more answers
Help I need this in like 5 minutes this due
Schach [20]

Answer:

1) 64 yd

2) 1.8 ft

3) 15 ft

4) 4 cm

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

m \angle ABC = m\angle ABD + m\angle DBC (1)

If we know that m\angle ABC = 40^{\circ}, m\angle ABD = 2\cdot x + 3 and m\angle DBC = 4\cdot x + 7, then the value of x is:

(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}

6\cdot x +10^{\circ} = 40^{\circ}

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x = 5

Then, we check the angles of each section:

Section 1

m\angle ABD = 2\cdot x + 3

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Section 2

m\angle DBC = 4\cdot x + 7

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If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0
3 years ago
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