MATHEMATICS MIDDLE SCHOOL

A baker was going to arrange 432 desserts into rows of 28. The baker divides 432 by 28 and gets a quotient of 15 with remainder of 12. Explain what the quotient and remainder represent

Answers

Answer 1

Answer:

The quotient of 15 represent the number of desserts in each row

The remainder represent the rest of the dessert does not meet the 29th line (only 12 from 15)

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\boxed{:}}$ or $\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\boxed{\bold{divident:divisor=quotient+remainder}}$

example:

7: 3 = 2 + 1

7 = dividend
3 = divisor
2 = quotient
1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

Mixed fractions consist of integers and ordinary fractions

mixed fractional form :

$\displaystyle {2(1)/(3)$

Mixed fractions can be expressed as ordinary fractions :

$\displaysyle {=(7)/(3) }$

Division operation statement:

"7 divided by 3 equals 2 remainder 1"

When dividing 432 desserts into rows of 28, the baker finds a quotient of 15 with a remainder of 12

Division operation statement:

"432 divided by 28 equals 15 remainder 12"

The arithmetic operations :

432 : 28 = 15 + 12

It means :

1. there are 28 rows

2. each line has 15 desserts

3. there is leftover dessert on the 29th row that only has 12 desserts

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The average weight of the top 5 fish

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Keywords: division, fraction, the baker, desserts

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Cedric bought his truck new for $20,000. It’s value decreases 15.4% each year. In approximately how many years will the value of the truck be half of what he paid for it? Round to the nearest whole number. PLEASE EXPLAIN

Answers

Answer:

3.24 years

Step-by-step explanation:

We know that for the truck to become half of the value it has to decrease by %50 if it decreases by %15.4 the real question is 50/15.4=3.24 years because how many years will it take for %15.4 to pile up and eventually become %50

Please tell me the answer.

Answers

x = 30

3x-5=x+55

2x=60

x=30

Madame curie made some radium in her lab. she used 2/5 kg of the radium in an experiment and had 1 1/4 kg left. how much radium did she have at first?

Answers

Madame Curie had $1(13)/(20)$ kg of radium at the beginning.

Further Explanation

Madame Curie used ²/₅ kg for experiment

Radium left = 1¹/₄ kg

Question:

How much radium did she have at first?

The amount of radium that Madame Curie had at first :

= Radium for experiment+ the amount of radium left

$\boxed {= (2)/(5) + 1(1)/(4) }\n$

we can do the additional if the denominator is the same, if not we need to find a common denominator, in this problem, the common denominator for 5 and 4 is 20, so the equation would be:

we change the mixed fraction into an improper fraction

$\boxed {=(2)/(5) + 1(1)/(4) } \n\boxed {=(2)/(5) + (5)/(4) =( (2 *4)/(5 *4)) + ((5 *5)/(4 *5)) } \n\boxed {= (8+25)/(20) =(33)/(20) = 1(13)/(20) }$

So, at first, Madame Curie had 1 $1(13)/(20)$ of radium

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SHE HAD 3/5 TO START I BELIEVE

Frank makes four bows to decorate a gift basket. Each bow uses7/8 yards of ribbon. The ribbon comes in spool of 3 yards, 5 yards or 10 yards. Write and solve an equation that shows how much ribbon Fran needs to make the bows

Answers

7/8 yrds of ribbon per bow
if you need 4 bows
7/8 x 4 = 28/8 = 3 1/2 yards of ribbon needed

Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes the caps charges $6 per cap plus a $25 shipping fee. Laura has a budget of $1,000. What is the greatest number of caps she can buy?

Answers

Let number of caps =x

charge of one cap =$6

charge of x caps =6x

shipping fee =$25

total budget =$1000

let us make an inequality equation here,

Since amount cannot be greater than 1000 , so

25+6x ≤1000

6x≤975

x≤162.5

rounding off ,

x≤163

So she can buy maximum 163 caps

The volume of a sphere is 288π ft3. What is the radius of the sphere? Use the formula V = 4 3 πr3 to find your answer.

Answers

The volume formula of a sphere is:
V = $(4)/(3)$ $\pi$ r³

Given:
V = 288 $\pi$ ft³
Find: Radius

Plug them in!

288 $\pi$ = $(4)/(3)$ $\pi$ r³
Divide by $\pi$ on either sides to cancel them out

$(288 \pi )/( \pi )$ = $(4)/(3)$ r³
288 = $(4)/(3)$ r³
Multiply by 3
228 × 3 = $(4)/(3)$ × 3 × r³
3 and 3 cancels out

864 = 4r³
Divide by 4
$(864)/(4)$ = $(4r^3)/(4)$
4 and 4 cancels out

216 = r³
Take the cube root
$\sqrt[3]{216}$ = $\sqrt[3]{r^3}$

6 ft is the length of the radius

Answer:

6 cm is the length of the radius

Step-by-step explanation:

The volume formula of a sphere is:

V = r³

Given:

V = 288 ft³

Find: Radius

Plug them in!

288 = r³

Divide by on either sides to cancel them out

= r³

288 = r³

Multiply by 3

228 × 3 = × 3 × r³

3 and 3 cancels out

864 = 4r³

Divide by 4

4 and 4 cancels out

216 = r³

Take the cube root

6 cm is the length of the radius

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