if you know the answer you have a high IQ ->
Mrs. O’Connor is creating a large square painting with the grade 8 art classes. The painting will be made of 24cm by 32cm rectangles covered with colored squares. They want these squares to be as large as possible, measured in whole numbers of centimeters.
Then they plan to arrange copies of the 24cm by 32cm rectangle to form a large square painting that measures the least possible whole number of centimeters.

What size will the small colored squares be?
How big will the painting be?

Answers

Answer 1

9514 1404 393

Answer:

small squares: 8 cm squarelarge painting: 96 cm square

Step-by-step explanation:

The size of the small squares will be the greatest common divisor (GCD) of the dimensions 24 cm and 32 cm. We know these dimensions can be factored as ...

  24 = 3×8

  32 = 4×8

so the GCD is 8 cm.

The rectangles can be covered with squares that are 8 cm on a side.

__

The dimensions of the painting will be the least common multiple of the rectangle dimensions. That is ...

  LCM(24, 32) = 24×32/GCD(24, 32) = 24×32/8 = 96

The smallest square painting that can be made from these rectangles is 96 cm square.


Related Questions

Given the two functions below, tell me what type of graphs they are and
how p(x) differs from g(x)

p(x)=8x^2
g(x) = x^2

Answers

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

Please help with this, it's due today and I don't really understand it.

Answers

Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

solve v = 5/f-8 for f​

Answers

f = -3/v
if there’s a certain way you had to solve then it might be wrong but if not then

HELP ME HELP ME please !!! 10 points

Answers

Answer:

The slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

m is the slope of the line whose rule is [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept, you can find it by substituting x, y in the equation by (x1, y1) OR (x2, y2)

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

∴ The slope is [tex]\frac{3}{2}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

The y-intercept is 9

It’s asking me to solve for z...Can someone please explain how I can workout this problem?

Answers

Answer:

12°

Step-by-step explanation:

Step 1:

7z + 6° = 90°        Def. of Right Angle

Step 2:

7z = 84°       Subtract 6° on both sides

Step 3:

z = 84° ÷ 7      Divide

Answer:

z = 12°

Hope This Helps :)

An 8-ounce bottle of glue costs $1.92. What is the unit price

Answers

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

square root of x²-2x+1=100 wkwkwkw

i already have an answer but i need other answers too so i can check whether mine is wrong or not.. ​

Answers

x ^ 2–2x + 1

by splitting this equation

x ^ 2 - x -x + 1

there are a two terms x ^ 2 - x and - x + 1

we take x is common from first and -1 is common from second

x ( x - 1 ) and -1 ( x-1 )

the quadratic roots are (x-1) and (x-1)

x - 1 = 0

x = 1 in both

Therefore , the quadratic roots are 1 , 1 .

Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows​ Luis's position at two points during his ride to the beach. Write an equation in​ slope-intercept form to represent​ Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than​ Luis, at what speed must Raul ride for the plan to​ work?


If x represents the time in hours since the ride began and y represents the remaining distance from the​ beach, then the equation

_____



represents​ Luis's ride from his house to the beach.

Answers

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closer

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

https://brainly.com/question/11897796

What is the length of segment BC?

Answers

The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.

6 squared plus 8 squared is 100, which is 10 squared.

The answer is 10.

Answer:

C. 10

Step-by-step explanation:

The Pythagorean Theorem states that a² + b² = c²

a² can be found by multiplying 6 by 6, which is 36

b² can be found by multiplying 8 by 8, which is 64

36 + 64 = 100.

The square root of 100 is 10, you can double-check this because 10 x 10 = 100

Because of this, we know that the line segment BC is equal to 10

I hope this helps :)

Solve the equation algebraically |x|=12

Answers

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

For the arithmetic sequence 13,9,5,1... determine t8?

Answers

Answer:

34

Step-by-step explanation:

A gear rotates 8 times every 15 seconds. based on the information which of the following is wrong

Answers

D is wrong (making it the correct choice)! In order for D to be correct, it would say “the gear rotates 24 times in 45 seconds. Hope this helped!

The sales tax rate in the state of New York is 8.875. If you buy a pair of shoes for 56.00, how much tax would you pay?

Answers

Answer:

4.97

Step-by-step explanation:

Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP

Answers

Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

Why can’t i be normal and understand math chileee

Answers

girl same i hate math

If g(n) = n +2, find g(1)

Answers

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

what does i2x + 3(x - 5) = 20 equal

Answers

Answer:

x=7

Step-by-step explanation:

2x+3(x-5)=20

2x+3x-15=20

5x-15=20

5x=35

x=7

Answer:

x = 5

Step-by-step explanation:

2x + 3(x - 5) = 20

simplify

5x - 5 = 20

get the variable and the number on different sides

5x - 5 + 5 = 5x

20 + 5 = 25

5x = 25

now divide each side by 5

5x / 5 = x

25 / 5 = 5

x = 5

which equals ( V20 - 13) (120 + V3)?

Answers

Answer:

17

thats the answer

10/3 divided by 2/3 show work pls

Answers

Answer: 1/5

Step-by-step explanation:

10. 3

3. 2

Three divided by three is one

Ten divided by two is five

Answer:

5

Step-by-step explanation:

10/3 divided by 2/3

Using the rule of dividing fractions, you flip one side and multiple.

10/3 multiplied by 3/2

Think: Can you simplify from across?

10 and 2, 3 and 3 can simplify from across

5/1  multiplied by 1/1 = 5

If you have any questions I would be glad to help.

SAT Prep) In the figure, what is the value of x? A. 30° B. 50° C. 15° D. 20°

Answers

Answer:

D. 20°      Can I get brainliest please :)

Step-by-step explanation:

You can see their is a 90° angle, and angles across from each other are equal so them together is 180° and you know the whole thing is 360° so you can do

360°-180°=180°

then you have the x's we still know that angles opposite each other are the same so if we add all those angles together we get

x+x+2x+30°+2x+30°

simplify it

6x+60°

then we know what we have left is 180° so we do numbers to numbers

180°-60°=120°

now we have

6x=120°

simplify it

x=20°

The value of x is 20°. Option b is correct.

Value of angle x is to be determine.

What is angle?

it can be defined as the measure of one line tilt over other line.


Here, the sum of angle is 180°
x+90+2x+30=180
3x =180-120
3x =   60
 x = 20

Thus, the value of x is 20°.

Get more information about angles here:
https://brainly.com/question/13954458

#SPJ2



which is the value of the expresson?​

Answers

The solution to your problem is 8 (:

Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.

Answers

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

Y=-1/5x+12
What is the y-intercept?
What is the slope?

Answers

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

Estimate. 5. 8% of 40

Answers

i would say the answer is 2.32
I don’t know which is your question but here
8% of 40 is 3.2
Estimate it : 3

5.8% of 40 is 2.32
Estimate it : 2

1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?

Answers

Answer:

He need to On the 26th day of his billing

Step-by-step explanation:

Given:

Amount of data = 3 gb

80% data used in 21 days

Find:

Number of days for additional data

Computation:

Total number of days = 21(100/80)

Total number of days = 26.25 days

He need to On the 26th day of his billing

7y+8y can be simplified to 15y
True or false

Answers

Answer:

true because you combine like terms

Answer:

True.

Step-by-step explanation:

The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:

7y + 8y = (7 + 8)y = 15y

~

The first and last buttons are 15 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? (there are 5 buttons btw)

Answers

It should be 3 inches, but I am not sure what the length is of each button if i should subtract it or not.. otherwise it should be 3!!

Somebody who remembers how to do this plz answer all the questions correct!!!!! Thx:)
(WILL MARK AS BRAINLIEST)
Grade5math

Answers

Answer:

.3 .029 .0157 3.9 2.023 4.0129

i hope that helps!

The product of a scaler and vector produces a vector with the direction opposite of the original vector what must be true?

Answers

Answer:

Scalar is negative

Step-by-step explanation:

How do you solve this?

Answers

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35

Step-by-step explanation:

Other Questions
What is the same on the left and right side of a balanced equation? Explain your answer. Rewrite in simplest terms: -(3c - 8) - 3c 4. (03.03 HC)The table shows the outputs, y, for different inputs, x:Input 2 4 6 8Output(y)1 2 3 4Part A: Do the data in this table represent a function? Justify your answer. (3 points)Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)(10 points) Why is Fashion referred to as a mirror of our times? What is the potential energy of a 2 kg plant that is on a windowsill 1.3 m high pleaseeee helllppppppp meeeeeh Which descriptions are true about a civilization? The convection currents in the asthenosphere cause the movement of the Can anyone answer this its due in 5 minutes add the sum of 296 and 173 to their difference ILL MARK BRAINLIST FRIST ANSWERFry remembered a curious adhesive a strong and yet easily removed unglue that Spencer Silver . . . had come upon several years earlier. . . . Silver felt the unusual adhesive might have some commercial value. . . . At the time, no one had come up with a use for it, and so the formula for the weak adhesive was filed away until the Monday morning when Fry came to work with the idea of making sticky bookmarks that could also be removed.The Evolution of Useful Things,Henry PetroskiWhen did Spencer Silver discover the formula for the unglue?A. several years before Fry had his ideaB. the year before Fry had his ideaC. at the same time Fry had his ideaD. soon after Fry had his idea The product of 7 and a number is greater than 42. If thenumber is a whole number less than 10, what could the numberbe? 5Select the correct answer.What effect did the Great Awakening have on the American colonies?A. The Great Awakening caused a split in American Protestantism in the American colonies.OB. The Great Awakening intensified racial and gender bias in the American colonies.C. The Great Awakening diminished the importance of education in the American colonies.D. The Great Awakening resulted in public displays of overt emotion in the American colonies.ResetNext Evaluate the function, f(m) = 13 - 3m, when m is 4 f(4) = Which statement best describes how to predict the formula of a stable ionic compound? Use the same number of cations as anions so that the compound is neutral. Use more cations than anions so that the compound is positively charged. Use enough cations and anions so that the total charge is zero. Use fewer cations than anions so that the compound is negatively charged.IT's C Which of the following is a direct effect of tectonic plate movement? A) The distribution of biomes in a given area B) Seasonal changes in global weather patterns C)The topography of a mountainous region D) The average precipitation that an area receives what is the value of x in the equation 2/3(6x-9)=2(x+12) 3/8 divided by 2/5?? WILL GIVE BRAINLIEST If a triangle is acute, then all three angles have a measure of 60. Provide a counterexample to show that the statement is false. A) The three angles could be 30, 30, and 30 B) The three angles could be 30, 60, and 90 C) The three angles could be 30, 70, and 80 D) The three angles could be 30, 30, and 120 80m15 + 72m12 32m10