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

Alamo Cola manufactures a soft drink made with 0.25% peach juice concentrate. What is this percent expressed as a fraction
A. 1/4 and 0.25
B. 1/4 and 0.0025
C.1/40 and 0.025
D. 1/400 and 0.0025

Answers

its a because .25x4=1.00

Answer:

B. 1/4 and 0.0025

Step-by-step explanation:

If the sinø=7/12, what is cosø?

Answers

Answer:

If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2[/tex]

We have Hypotenuse= 12 and Opposite = 7 (because [tex]sin\theta=\frac{opposite}{hypotenuse}[/tex] and we are given [tex]sin\theta=\frac{7}{12}[/tex]

Inserting values and finding adjacent:

[tex](Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}[/tex]

So, value of Adjacent is [tex]\sqrt{95}[/tex]

Now finding cosФ

[tex]cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Adjacent = [tex]\sqrt{95}[/tex], hypotenuse = 12

[tex]cos\theta=\frac{\sqrt{95} }{12}[/tex]

So, If the sinø=7/12, cosø is [tex]\frac{\sqrt{95} }{12}[/tex]

whats 851,708 to the nearest hundred-thousand

Answers

Answer:

900,000

Step-by-step explanation:

because when you round  number from 1-4 you put it down example: 1223

round to nearest thousand it is 1000 but when 5-9 is higher example: 1566 it is 2000

Answer:

900,000

Step-by-step explanation:

Bc The Ten Thousandths place is over 4

Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.

Answers

Answer:

Step-by-step explanation:

Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.

Since;

<B = <C = 60°

Then,

<A + <B + <C = [tex]180^{o}[/tex]

<A + 60° + 60° = [tex]180^{o}[/tex]

<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]

    = 60°

Thus,

AB = BC = AC = 6 inches

The construction is attached to this answer.

Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
how would I write an equation for this? use e for her earnings and h for hours worked

Answers

Y= hx + ex ) x is the number of days jada has worked

solve for x:x+3.17=12.78

Answers

x=9.61 you subtract 3.17 from 12.78 and get 9.61

if triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x

Answers

If angle b and angle e are the same, I guess you can write b=e ?
So you’ll have :
3x = 6x - 39
0 = 6x - 3x - 39
39 = 3x
x = 39/3
x = 13

The value of x in the expression is 13.

What is a Triangle?

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

Given:

The triangle ABC = triangle DEC,

and angle b=3x and angle e=6x-39.

To find the value of x:

We know,

b = e

So, substituting the values,

3x = 6x - 39

3x = 39

x = 13.

Therefore, the value of x is 13.

To learn more about the triangle;

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HELP PLEASE Can you please give an explication when you answer

The temperature at 4:00 am was -3°C, and the temperature rose 9°C during the morning. What was the temperature by noon?
A. -6°C
B. -12°C
C. 6°C
D. 12°C

Answers

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

i’ll give brainliest if it’s right

Answers

Answer:

bruh i  cant see it

Step-by-step explanation:

Answer: what does the display say

Help, Its due in 15 minuets!

Answers

Answer:

All Congruent Angle Pairs

1) ∠1 and ∠3 are congruent **

2) ∠2 and ∠4 are congruent

3) ∠6 and ∠8 are congruent

4) ∠5 and ∠7 are congruent

5) ∠1 and ∠7 are congruent

6) ∠2 and ∠8 are congruent **

7) ∠3 and ∠5 are congruent

8) ∠4 and ∠6 are congruent **

Step-by-step explanation:

1) Vertical pairs

2) Vertical pairs

3) Vertical pairs

4) Vertical pairs

5) Alternate exterior angles

6) Alternate exterior angles

7) Alternate interior angles

8) Alternate interior angles

the pairs are

< 1 and < 3

< 4 and < 5

I think 2 and 8

Need help will mark brainliest

Answers

0Answer:

1) Exterior Angle Therorem

2) Isosceles Triangle Theorem

Step-by-step explanation:

Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation

Answers

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

A quadratic function has an axis of symmetry at x=4 and contains the points (2, -6) and (7, -11). Find the equation in standard form (y=ax2+bx+c). Then state the "a" value in the equation.

Answers

Answer:

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

Step-by-step explanation:

A quadratic function is the standard form of the parabola. We can take advantage of the symmetry property of the parabola by using the following formula from the Analytical Geometry:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]C[/tex] - Parabola constant, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Depedent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex of the parabola, dimensionless.

If we know that [tex](x_{1},y_{1})=(2,-6)[/tex], [tex](x_{2},y_{2})=(7,-11)[/tex] and [tex]h = 4[/tex], then we have the following system of linear equations:

[tex](x_{1},y_{1})=(2,-6)[/tex]

[tex]-6-k = C\cdot (2-4)^{2}[/tex]

[tex]4\cdot C +k = -6[/tex] (2)

[tex](x_{2},y_{2})=(7,-11)[/tex]

[tex]-11-k =C\cdot (7-4)^{2}[/tex]

[tex]9\cdot C + k = -11[/tex] (3)

By clearing [tex]k[/tex] in (2) and (3) and equalizing each other, we get that:

[tex]-6-4\cdot C = -11-9\cdot C[/tex]

[tex]5\cdot C = -5[/tex]

[tex]C = -1[/tex]

And the remaining variable is calculated by substituting directly on (3):

[tex]k = -11-9\cdot C[/tex]

[tex]k = -11-9\cdot (-1)[/tex]

[tex]k = -2[/tex]

Then, the equation of the parabola is:

[tex]y+2 = -(x-4)^{2}[/tex]

And the standard form of the equation is obtained by algebraic handling:

[tex]y+2 = -(x^{2}-8\cdot x + 16)[/tex]

[tex]y + 2 = -x^{2}+8\cdot x -16[/tex]

[tex]y = -x^{2}+8\cdot x -18[/tex] (4)

The equation in standard form is [tex]y = -x^{2}+8\cdot x -18[/tex]. The "a" value is -1.

At a certain bookstore, you get a $5 coupon for every 4 books you buy. What is the least number of books you could buy to get $15 in coupons? Show your work.

Answers

Answer:

12books

Step-by-step explanation:

4 books → 1 $5 coupon

$15 coupon = $15 / $5 = 3times of $5 coupons

3 $5 coupons → 4 x 3 = 12 books

this is a topic on forming and solving equations. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting notes for many topics and will also be posting some tips :)

The number of books for $ 15 coupon is 12 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

From the bookstore :

Number of books for $ 5 coupon = 4 books

So ,

Number of books for $ 15 coupon = Number of books for $ 5 coupon x 3

Number of books for $ 15 coupon = 4 x 3 books

Number of books for $ 15 coupon = 12 books

Therefore , the number of books is 12

Hence , the number of books for $ 15 coupon is 12 books

To learn more about equations click :

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WILL MARK branniest answer if gotten right

Answers

Answer:

Line MN is the answer

Step-by-step explanation:

Image SQ as a line that extends forever, if  you took line segment and also made it extend forever, then it would become parallel to line segment SQ, never touching or intersecting and going at the same angle.

A solid cylindrical metal is melted and recast into cubes of metal of side 3cm the base radius of the initial cylindrical metal is 10.5 and height is 63cm . how many cubes will be Madeline​

Answers

Answer:

A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initi… Get the answers you need, ... is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical metal is 10.5cm and height is 63cm. How many cubes will be made.

Step-by-step explanation:

hope this is right!

Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.

Answers

Answer:

C. The domain is greater than -3 and less than 7.

Step-by-step explanation:

Just like the other one

x is domain

< = less than

≤ = less than or equal to

Answer:

c

Step-by-step explanation:

should b. cause most true usagw 'the domain'

good luck

what is the answer for x?

Answers

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
A 400 milligrams
B 480 milligrams
C 550 milligrams
D 600 milligrams

Answers

Answer:

480 milligrams

Step-by-step explanation:

92 pounds → 320 milligrams

138 pounds → 320/92 x 138 = 480 milligrams

393.3 in 10 years investment

Answers

Step-by-step explanation:

The question is not well structured. We can say;

$393.3 in 10 years investment at rate of 10% is equivalent to what?

Given

Amount invested = $393.3 (principal)

Time = 10years

Rate = 10% (assumed rate)

Required

Amount after 10 years

Amount = Principal + Interest

First we need to get the simple interest using the formula

SI = PRT/100

SI = $393.3 * 10 * 10/100

SI = $393.3*100/100

SI = $393.3

Amount in 10years = $393.3 + $393.3

Amount in 10years = $786.6

Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.

Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.

Will give brainliest if correct.

Answers

Answer:

y=(-9-2x)/3

Step-by-step explanation:

A blueprint of a plot of land has a scale of 1 1/4 cm to 3 1/4 m the length of the land is 20 cm on the blueprint if i represents the length of the actual peace of land. What is i

Answers

Answer:

52metre

Step-by-step explanation:

Let us use proportion in solving this question, the land has a scale of 1 1/4 cm to 3 1/4 m then the proportion is

( 1 1/4)/ (3 1/4 ) =[blueprint of the plot of land/length of the actual peace of land]

But we need to convert those mixed fractions to improper fraction for easy simplification

1 1/4= [(4×1)+4]= 5/2

3 1/4=[(4×3)+1)]=13/4

Then we can proceed with simplification as

(5/2)/(13/4)=[blueprint of the plot of land/length of the actual peace of land]

But we were given length of the actual peace of land as 20 cm, then

(5/2)/(13/4)=[blueprint of the plot of land/20]

If we cross multiply we have

[blueprint of the plot of land] ×13/4 =5/2 ×20

[blueprint of the plot of land] =(5/2 ×20)÷(13/4)

= 50/(13/4)

=(4×13)/50

= 52

Therefore, the length of the actual peace of land is 52metre

Answer: B) 52 miles

Step-by-step explanation:

the square root of 84 is it closer to 9 or 10

Answers

Answer: It is closer to 9

Step-by-step explanation: The square root of 84 is 9.16515139

Answer:

9

Step-by-step explanation:

The square root of 84 rounded the hundredth is 9.17, making it closer to 9 than 10.

please help and if you don't know the answer the don't put a random one thank you :(

Answers

hi i think the answers C     z<=16.1    good luck:)

pls don't hate on me if im wrong:(

Answer:

Your answer will be C z<=16.1

Step-by-step explanation:

How to solve this would be to divide -4 from both sides and because you are dividing a negative you have to flip the sign.

65.6g of sugar is needed to make 8 cakes how much is needed to make 5

Answers

Answer:

41g

Step-by-step explanation:

65.6/8= 8.2g per cake

8.2*5 cakes= 41g

Answer:

41g of sugar.

Step-by-step explanation:

65.6g = 8 cakes

We need to find the sugar for 1 cake:

65.6 ÷ 8= 8.2 (gram for 1 cake)

The sugar for 5 cakes:

8.2 × 5= 41 (gram for 5 cakes)

Graph the equation.
y-1 = -2(x-2)

Answers

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

Write a rule for the translation of ABC to A' B' C'

Answers

Answer:

(x-2,y-4)

Step-by-step explanation:

Here, we want to calculate the rule for the translation

From the question, we can see that the new image was just formed as a movement of the old image by some particular units

The x-axis was move sideways while the y-axis was moved further down

The number of units is thus;

Y from 12 to 8

A movement of -4

For the x-axis

we have a movement of two units toward the left

So the rule is;

(x,y) to (x-2, y-4)

Last year, Summerfield Steel sold 6.5×104 pounds of steel to private businesses and 2.5×105 pounds of steel to government agencies. This year, they expect to sell 3 times that amount. How much steel would that be?

Answers

Answer:

9.45 × 10⁵ pounds of steel

Step-by-step explanation:

Last year, Summerfield Steel sold 6.5×10⁴ pounds of steel to private businesses and 2.5×10⁵ pounds of steel to government agencies.

Total amount of steel sold last year = (6.5 × 10⁴ + 2.5 × 10⁵) pounds = 315000 pounds = 3.15 × 10⁵ pounds

This year, they expect to sell 3 times that amount.

This year = 3 × 3.15 × 10⁵ pounds

= 9.45 × 10⁵ pounds of steel

Michael has a set of 24 math problems to do for homework. Michael completed 1/4 of his homework in 3/4 of an hour. If he continues at this rate , what fraction of his homework would he complete in one hour ? A. 3/8 B. 2/3 C. 4/3 D. 3/2

Answers

Given:

Total number of problems = 24

Michael completed [tex]\dfrac{1}{4}[/tex] of his homework in [tex]\dfrac{3}{4}[/tex] of an hour.

To find:

What fraction of his homework would he complete in one hour.

Solution:

We have,

Part of work done in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{1}{4}[/tex]

Part of work done in an hour [tex]=\dfrac{4}{3}\times \dfrac{1}{4}[/tex]

                                                [tex]=\dfrac{1}{3}[/tex]

Therefore, he complete [tex]\dfrac{1}{3}[/tex] of his homework in 1 hour. Hence, all options are incorrect.

What is the cost of making one burrito? (Remember that costs are negative.) Explain how you found your answer.

Answers

Answer:

it cost 5.99

Step-by-step explanation:

it all depends on the type of burrito

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