Sean got 4 over 5 pound of honey from a hive. He calculated the quotient of 4 over 5 ÷ 3 over 8. Which statement shows the quotient and gives the most likely explanation of what Sean was trying to determine?He can make 2 and 2 over 15 bottles of honey with 3 over 8 pound of honey in each bottle.
He can make 12 over 40 of a bottle of honey with 3 over 8 pound of honey in each bottle.
He can get 2 and 2 over 15 pounds of honey if he divides the honey into 3 over 8-pound portions.
He can get 12 over 40 pound of honey if he divides the honey into 3 over 8-pound portions.

Answers

Answer 1

Answer:

A statement which shows the quotient and gives the most likely explanation is: A. He can make 2 2/15 bottles of honey with 3/8 pound of honey in each bottle.

What is quotient?

Quotient is a mathematical expression that is simply used to represent the division of a number by another number.

How to determine the quotient?

4/5 ÷ 3/8

4/5 × 8/3

32/15 = 2 2/15.

This ultimately implies that, Sean can make 2 2/15 bottles of honey with 3/8 pound of honey in each bottle.

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Answer:

Step-by-step explanation:

A &B share the cost in a ratio of 3:2 A pays £125 how much dose B pay

Answers

Hi There! :)

A &B share the cost in a ratio of 3:2 A pays £125 how much dose B pay

Let the common multiple be x
3x : 2x
3x = 125
x = 125/3

So, B pays 2x = 2 × 125/3 = £250/3

Ok what is the answer

Answers

Tyronebiked 45 miles at an average speed of 18 miles per hour, without stopping.About how long did the ride take him? Use the formula $t= (d)/(r)$

d = distance = 45 miles

r = rate = 18 miles per hour

t = time

$t= (d)/(r)$

$t= (45)/(18)$

$t= 2.5$
answer

A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 grams. The bracelet has 5 large beads and 2 small beads and weighs 25 grams. Write and solve a system of equations to find the weight of a large bead and weight of a small bead.

Answers

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88 Eqn 1

5x+2y=25 Eqn 2

Multiplying Eqn 2 by 4

$4(5x+2y=25)\n20x+8y=100\ \ \ Eqn\ 3\n$

Subtracting Eqn 1 from Eqn 3

$(20x+8y)-(12x+8y)=100-88\n20x+8y-12x-8y=12\n8x=12$

Dividing both sides by 8

$(8x)/(8)=(12)/(8)\nx=1.5$

Putting x=1.5 in Eqn 1

$12(1.5)+8y=88\n18+8y=88\n8y=88-18\n8y=70$

Dividing both sides by 8

$(8y)/(8)=(70)/(8)\ny=8.75$

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

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What is the square root of 216?

Answers

$√(216)=√(36\cdot6)=√(36)\cdot\sqrt6=6\sqrt6$

$216|2\n108|2\n.\ 54|2\n.\ 27|3\n.\ \ 9|3\n.\ \ 3|3\n.\ \ 1\n\n216=2^2\cdot3^2\cdot2\cdot3\n\n√(216)=√(2^2\cdot3^2\cdot2\cdot3)=√(2^2)\cdot√(3^2)\cdot\sqrt6=2\cdot3\cdot\sqrt6=6\sqrt6$

A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square feet. Find the dimensions of the garden.

Answers

The length and width of the garden are 47 ft and 21 ft respectively.

Explanation

Suppose, the width of the garden is $x$ feet.

As the garden is 5 feet longer than twice its width, so the length will be: $(2x+5) feet$

So, the area of the garden $= length*width=x(2x+5)ft^2$

Now, the garden has a sidewalk 3 feet wide on two of its sides. That means, the length of the garden including the sidewalk $=(2x+5+3)ft =(2x+8)ft$ and the width including the sidewalk $=(x+3)ft$

Given that, the area of the sidewalk is 213 ft². So the equation will be.....

$(2x+8)(x+3)-x(2x+5)=213\n \n 2x^2+14x+24-2x^2-5x=213\n \n 9x+24=213\n \n 9x=189\n \n x=(189)/(9)=21$

So, the width of the garden is 21 feet and the length is $(2*21+5)ft= 47 ft$

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