A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
and find the area of the square.

Answers

Answer 1

Answer:

greatest value of X = 12

Area of square = 144 cm²

Step-by-step explanation:

The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The highest common factor between both factors of 48 and 60 is 12.

Thus,

greatest value of X = 12

Area of square = 12 × 12

Area of square = 144 cm²


Related Questions

Does anybody know what 4/5 ( + 1) is in standard form?

Answers

Answer:

4/5 + 1 = 5/5

Step-by-step explanation:

This is because the bottom number is the denominator and the top number is the whole number. So, when you add a whole number to a fraction, the whole number goes to the numerator, not the denominator.

PLEASE HELP
PART A

Diego deposited $10,000 for 4 years at a rate 6% simple interest. find the amount of interest Diego earned after 4 years.

PART B

If Diego closes his account after the 4 years, how much money will he have total?

Total Amount=

Answers

Answer:

Part A=2,400  Part B=12,400

Step-by-step explanation:

The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Diego deposited $10,000 for 4 years at a rate 6% simple interest

We need to find the interest earned by Diego after 4 years.

Let us find what is 6% of 10000

Convert 6% to decimal value by dividing with 100.

6/100=0.06

Now multiply zero point zero six with 10000

0.06×10000

600

Noe for four years she earned

4×600

2400

2400 is the amount of interest Diego earned after 4 years.

Now let us find the money Diego have after 4 years.

Which is 10000+2400

12400

Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.

To learn more on Percentage click:

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A navigator on a boat measures the angle between the course of the boat and the lighthouse on shore to be 70 degrees. After the boat has traveled 3000 m, the navigator measure the angle to be 100 degrees. How far, to the nearest metre, was the boat from the lighthouse at the time of the first sighting?

Answers

hi pls where can I get physics questions on checking the correctness of an equation using dimensional analysis

If you drive 162 miles and use 9 gallons of gas, what is your rate?
Select an answer

Answers

Divide 162 by 9 so then yo get your answer

State the slope and y-intercept of the graph of y + 2x = 3.

Answers

Answer:

y-intercept=(0, 3)  slope=-2

hope this help

Step-by-step explanation:

Answer: y intercept= 3 slope is -2

Step-by-step explanation: you subtract 2x from the left and right side and end up with y= -2x+3 if you substitute x for 0 then you get 3 for the y intercept.

Hi could someone help me with this problem? If so, thank you. (ASAP!!)

Answers

Answer:

B

Step-by-step explanation:

A has a change of 20 Fahrenheit.

C has an overall change of 21 kilometres.

D has a total distance of 6.2 kilometres.

PLS GIVE BRAINLIEST

Answer:

B.

Step-by-step explanation:

Buys item = -2.25

Sells item = +2.25

-2.25 + 2.25 = 0

A) The difference between -10 and 10 is 20.

C) sea level = 0, 0 + 21 = 21

D) 3.1 + 3.1 = 6.2

A number rounded to the nearest tenth is 0.6. which could be the original number before rounding?
Answers:
0.68
0.52
0.57
0.69

Answers

Answer:

3rd choice 0.57

Step-by-step explanation:

when rounding to the tenth place we look at the hundreds place and when it greater than or at 5 we round up and when it's less than 5 we round down.

1) explanation:0.7 when rounding to the tenth place. since the 8 was greater than 5 we round-up and get 0.70.

2)explanation: 0.5 when rounded to the tenth place the hundreds place which is 2 is less the 5 so we round down and get 0.50.

3)explanation: 0.6 when rounded its hundreds place is greater than 5 so we round up and get 0.60.

4)explanation: 0.7 when rounding to the tenth place. since the 9 was greater than 5 we round-up and get 0.70.

hopes this help you

÷ 6 = 7 what number makes the equation true

Answers

Answer:

42

Step-by-step explanation:

42/6=7

Answer:

42

Step-by-step explanation:

6 × 7 = 42

I hope this helps!

Whar is an example of a transversal?​

Answers

Answer: Lightwave forms the most important example of a transverse wave. In case of the light waves, particles travel perpendicular to the direction of the waves. It is the visible spectrum that is visible to the human eye and is responsible for the sense of sight.

Step-by-step explanation:

Answer:

♡ hi fairy ♡

An example of a transversal is  line that intersects a system of lines.

hope I could help you. have a great day!

-madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧

Step-by-step explanation:

I have five blue tiles, fourteen green tiles, sixteen yellow tiles and fifteen red tiles in a bag. I shake the bag, reach in, and pull out a random tile. what if the probability the tile is yellow or green​

Answers

its yellow bro easy

comon man

fraction - 30/50
decimal - .6
percent- 60%

Which number is greater . 84 or 9.3

Answers

I think the answer is 9.3, but I’m not sure

Answer:

9.3

Step-by-step explanation:

9.3 is greater because 9.3 has a bigger value than .84 because .84 is in the hundredths place which is less than the unit digit which is 9 from 9.3

Hope this helps!

Find the value of y.

Answers

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

8x+2 factored using the GCF.

My friend is wondering this, I have seen responses but like all are different. Please help!

7th grade math.

Answers

Answer:   2(4x+1)

Explanation:

For now, ignore the x.

The GCF of 8 and 2 is 2 since 2 is a factor of both

2 = 2*1

8 = 2*4

So if we had 8+2 we can factor 2 out like so to get 2*(4+1)

Notice that I divided each term by 2 when going from 8+2 to 4+1. Then I stuck a 2 outside. You can use the distributive property to check the result.

Similarly,

8x+2 = 2(4x+1)

which you can also check using the distributive property.

△DEF≅△LMN
What is the value of x?
What is the value of y?
What is the measure of angle L?
What is the measure segment EF?

Answers

Answer:

If you can pin the picture of the triangles to the comments here I would be very happy to help you!

Can someone help me with problems in the image?

Answers

Answer:

13.m<9=110  14.m<4=115    15.m<10=70   16.m<11=70   17.m<8=65    18.m<5=65  19.m<3=65      20.m<14=110

Step-by-step explanation:

What integer represents a gain of 2 pounds?

Answers

Answer:

+2

Step-by-step explanation:

the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle

Answers

The width of the rectangle is 16cm and here are the steps :)

An ocean sunfish was swimming 125 meters below the ocean's surface. While hunting for jellyfish, it swam down another 115 meters.
What is the position of the sunfish now relative to the ocean's surface?

Answers

Answer:240

Step-by-step explanation:

125+115=240

Answer:

-240

Step-by-step explanation:

its right.

Spectrum word problems Grade 8 HELP

Answers

Answer:

add all the numbers up in 1 2 3 4 and 5

Step-by-step explanation:

Answer:3 4 5 7

Step-by-step explanation:

A town has a population of 2000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number? I just need the correct answer

Answers

Answer:

3200

Step-by-step explanation:

growth = current population + rate * time

            = 2000 * .04 * 15

            = 1200

original population + growth = total

2000 + 1200 = 3200

f(x)5x + 4
Find f(6)

Answers

[tex]\sf{Hello!}[/tex]

[tex]f(x) = 5x + 4[/tex]

[tex]f(6) = ---- [/tex]

[tex]f(6) = 5(6) + 4[/tex]

[tex]f(6) = 30 + 4[/tex]

[tex]f(6) = 34[/tex]

Have a nice day!

when it says f(6), it just means to plug in 6 for x so ... 5(6)+4= 28

Ans: 28

How many hours and minutes is this?

Answers

2 hours and 15 minutes.

i got the answer by 30 x 3/8 portions (bc 15 people eating 2 portions each = 30 ykyk) I got 90/8 = 11 1/4, if it takes 12 min per pound, 12 x 11 1/4 = 135. 135 is equivalent to 2 hours and 15 minutes !

PLEASE HELP ME!!
BEST ANSWER GETS BRAINLIEST

Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.
3 meters
-2 meters
-3.1 meters
1 and StartFraction 7 over 8 EndFractionmeters
Negative 2 and one-halfmeters

Answers

Answer:

-2, -3.1, -2.5

Step-by-step explanation:

Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.

The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;

-2 meter

-3.1 meter

Negative 2 and one-half meters

Given that;

A diver’s position is in the surface of the water diving into a pool.

We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.

What is Negative number?

A number less than zero is called the negative number.

A diver’s position is in the surface of the water diving into a pool.

Since, Diving into a pool is represents negative number.

Hence, The number to represents a diver's position is in negative sign.

So, The numbers are;

⇒ -2 meter

⇒ -3.1 meter

⇒ Negative 2 and one-half meters.

Learn more about the negative number visit:

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I need to know the value of X and how to get the value of X.

Answers

Answer:

2

Step-by-step explanation:

take three off.

x+x=4

2x=4

x=2.

Hope this helps :D

If x is the midpoint of pq, write the relation between px and pq as an inequality

Answers

Answer: Use a math calculator it should help. If not sorry. :/

Step-by-step explanation:

Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christmas. How many stickers does Sally have remaining?

Answers

Answer:

Sally has 1,532 stickers remaining.

Step-by-step explanation:

First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:

124*14=1,736

Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:

1,736-204=1,532

According to this, the answer is that Sally has 1,532 stickers remaining.

Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more lumber does Kiran need in order to make the side panels?

Answers

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

[tex]L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet[/tex]

Therefore, extra lumber required is [tex]\dfrac{5}{6}[/tex] feet.

Hence, this is the required solution.

If F(x)=4x-9 find f(-1)

Answers

it would be -13 because 4 times -1 is -4 minus 9

Answer:

F(-1) = -13

Step-by-step explanation:

If F(-1) then that means x = -1

4 times -1 is -4 and -4 plus -9 is -13

The shortest side of a right triangle is 14 inches long. The difference between the lengths of the other two sides is 2 inches. Find the missing sides. Use exact values.

Answers

Answer:

The missing sides are 50 inches and 48 inches long.

Step-by-step explanation:

Let the lengths of the other two sides be x inches and y inches

And let x represent the length of the longest side.

From the question,

The difference between the lengths of the other two sides is 2 inches. That is,

x - y = 2 ...... (1)

The three sides of the right triangle are x, y, and 14 inches long.

From the Pythagorean theorem, " In a right triangle, the square of the longest side equals sum of squares of the other two sides"

Here, the longest side is x

Hence, we can write that

x² = y² + 14²

∴ x² = y² + 196 ...... (2)

Now, we have two equations, we can then solve simultaneously.

From equation (1)

x - y = 2

∴ x = y + 2 ...... (3)

Put this into equation (2)

x² = y² + 196

(y+2)² = y² + 196

y² + 4y + 4 = y² + 196

4y + 4 = 196

4y = 196 - 4

4y = 192

y = 192/4

y = 48

To determine x, we will substitute the value of y into equation (3)

x = y + 2

∴ x = 48 + 2

x = 50

Hence, x = 50 and y = 48

Since the lengths of the other two sides are x inches and y inches,

Hence, the missing sides are 50 inches and 48 inches.

(-55 +94i) + (13 – 12i) =

Express your answer in the form (a + bi).

Answers

Answer:

(−55+94i) + (13−12i) = (−42+82i)

Step-by-step explanation:

The sum of the two complex numbers, (a+bi) and (c+di), is ((a+c) + (b+d)i)

( -  55 +  94i) + ( 13 -  12i) =

 ( -  42 +  82i)  

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