James’s four-year-old brother is trying to arrange black and yellow Legos in rows. He has 56 yellow Legos and 120 black Legos. He wants to arrange them in rows so that there are either only yellow or only black Legos in each row, and so that each row has the same number of Legos. What is the least number of rows he can make?

Answers

Answer 1

Answer:

22

Step-by-step explanation:

Answer 2
Final answer:

The four-year-old brother can arrange the Legos in rows of 8.

Explanation:

To find the least number of rows the four-year-old brother can make with the black and yellow Legos, we need to determine the greatest common divisor (GCD) of 56 and 120. The GCD will represent the number of Legos in each row.

To find the GCD, we can use the Euclidean algorithm. Divide the larger number (120) by the smaller number (56). The remainder is 8. Then, divide the smaller number (56) by the remainder (8). The new remainder is 0.

Therefore, the GCD of 56 and 120 is 8. This means that the four-year-old brother can arrange the Legos in rows of 8, with 7 rows of black Legos and 1 row of yellow Legos, or vice versa.


Related Questions

A patient takes a medication with a half life. Initially, there are 11 milligrams of the medication in the patient's system. After 70 minutes there are 7 milligrams. After how many minutes will there be only 3 milligrams remaining in the patient’s system? here be after 10 hours? Round your answer to the nearest whole number, do not include units.

Answers

Answer:

201

Step-by-step explanation:

The situation can be represented by the formula N(t)=11e(−kt) where t represents time in minutes and k is a constant.

Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?

Answers

4(x+3) = 3(3x-1)
4x + 12 = 9x - 3

x = 3
4(3) + 12 = 9(3) - 3
12 + 12 = 27 - 3
24 = 24 ✔️

Answer:

4(3+3)=3(3(3)-1)

Step-by-step explanation:

1) plug in the three

2) distribute

3)  see if the answers gotten are the same if not than the statement is wrong

I know it looks a bit complicated but its not once you get the hang of it

Which best describes the scale factor for each
dilation?

Answers

Can you give us the options so we can try to help you?

These are the dilations

Angle of elevation __________ Angle of depression
Select one:
a. is complementary to
b. equals the
c. is supplementary to
d. >

Answers

It is always B) equals the.

Answer:d

Step-by-step explanation:

What is the median of the set of values?
591 27 3 1 8 8 1 3

Answers

Answer:

The median is 5.5.

I did the math and I also got 5.5

What is the domain of the function y=2ex graphed below?

Answers

Answer:

I´m pretty sure its all real numbers

Step-by-step explanation:

Well I already know that y=0,and the domain would be (-∞,∞)

hope this helps!

Answer: d. all real numbers!!

Step-by-step explanation:

Edge

What is the slope of the graph? (Example: 2/3,-4,-2/9)

Answers

Answer:

7/9

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Slope is rise/run

In the picture the graph 'raises' by -1 (Because its going down) and runs by 1

so the slope is -1/1 or -1

Please answer this question! I will try to give brainlist if possible. I beg you, I have asked this question three times!

Answers

Answer:

2/7

Step-by-step explanation:

Even numbers: 6, 8, 10, 20

P(E1) = 4/7

P(E2) = 3/6

4/7 × 3/6

2/7

last week Tom spent 1/10 hour less time than normal exercising. How much time did Tom spend exercising last week explain?

Answers

Answer: 54 minutes

Step-by-step explanation: Given that Tom spent 1/10 hour less time than normal exercising.

Let the normal exercising hour = H

Tom spent 1/10 hour less time than normal exercisin. That is

Tom spent = H - 1/10H

Tom spent = 9/10 hours

The much time Tom spent exercising last week will be

9/10 × 60 = 54 minutes

LOTS OF POINTS, EASY QUESTION

Answers

Answer:

1/3

Step-by-step explanation:

Take the model size and divide by the original size by using the length

7/21 = 1/3

The scale factor is 1/3

We check by using the width

5/15 = 1/3

Which point is a solution to the inequality? (–2, 1) (–1, 1) (0, One-half) (3, One-half)

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer: The answer is (3, One-half) or option D

Step-by-step explanation:

What is the volume of a 3-foot-tall cylindrical trash can with a 1-foot radius?

Answers

Answer:

The volume of the cylinder in feet is

V= 9.43ft³

Step-by-step explanation:

Step one

The formula for the volume of a cylinder is given as

V=πr²h

Where r= radius

h= height

Step two

Given Data

Radius = 1foot

Height = 3 feet

Substituting in our formula we have

V=3.142*1²*3

V= 9.43ft³

Answer:

i just got this question... It was B

3pie ft^3

​​Step-by-step explanation:

PLEASE HELP ASAP!!!! 50 POINTS!!
Create a factorable polynomial with a GCF of 2y. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.

Answers

Answer:

Hope this helps!!

Step-by-step explanation:

2ya and 2yb where a and b have no common factors and a and b are polynomaals

a=(x+2)(x+3)

b=(x+4)(x+5)

no common factors betwen a and b

so

2ya=2y(x+2)(x+3)=2yx²+10xy+12y

2yb=2y(x+4)(x+5)=2yx²+18xy+40y

the 2 polynomials  are  2yx²+18xy+40y and 2yx²+10xy+12y

Answer:

The GCF of a polynomial is the greatest factor which is common to all the terms of the polynomial.

Thus, an example of a polynomial with a GCF of 2y is

The above polynomial can also be rewritten as

This form of the polynomial is obtained by factoring out the GCF of the polynomial.

find the simple interest on $5,000 at 6% interest for 3.5 years.​

Answers

Look at the attached picture

Hope it will help u..


Which equation is equivalent to 2x + 10 = 6


A)
2x = 4
x + 5 = 3
(
x + 10 = 3
2x + 6 = 10

Answers

2x+10=6 can be simplified to 2x=-4
x=-2
The answer is I believe -2

Which 2d shape can be rotated about the y axis to create a cone

Answers

Answer:

a triangle

Step-by-step explanation:

Answer:

a right triangle

find the area of the shaded porrion​

Answers

Answer: 111.72 m^2 if they want round its 112

Is from O to C 14m

A=pixr^2

3.14x14^2= 615.44 m/2 half circle = 307.72

Area of triangle A= 1/2bh. .5x28x14=196

307.72-98=196= 111.72 m^2

Step-by-step explanation:

Find the midpoint of the segment in the diagram

Answers

Answer:

(-1/2,1/2)

Step-by-step explanation:

We have  the two endpoints

(-3,-2) and ( 2,3)

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-3+2)/2 = -1/2 =-1/2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(-2+3)/2 = 1/2

The midpoint is (-1/2,1/2)

Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? x = What is the value of y in this simplified expression? y =

Answers

Answer:x=7 y=5

Step-by-step explanation:

I just took it, sorry I'm not good at math and just guessed until I got it right for this answer.

Answer:

-4

Step-by-step explanation:

magic

in a wildlife park there were 18 gray wolves after three years there were 27 gray wolves what is the precent increase

Answers

From 18 wolves to 27 wolves, what was the increase? 27 - 18 is 9, so the increase was 9.

How much of 18 is 9? 9 / 18 is equal to 1 / 2, which is 0.5. To make 0.5 a percent we multiply by 100.

0.5 times 100 is 50%.

A book is markdown by 28% from an original price of $19.50. What is the new price?

Answers

Answer:

$14.04

Step-by-step explanation:

19.50 - 28%·19.50 =

= 19.50 - 28·19.50/100

= 19.50 - 546/100

= 19.50 - 5.46

= $14.04

A paving company was hired to make a 4 mile section of the highway. They need 700 tons of concrete to complete the job. How many pounds of concrete will they need to repave the highway?

Answers

Answer:

they will need 1,400,000

Step-by-step explanation:

1 ton is 2,000 pounds. so 700x 2,000=1,400,000

The two lines $y = 2x - 13$ and $3x+y = 92$ intersect. What is the value of $x$ at the point of intersection?

Answers

Answer:

21

Step-by-step explanation:

At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.

2x - 13 &= 92 - 3x  

5x = 105

x  =21

Simplify [tex]5\sqrt{81q^5}[/tex]

Answers

Answer:

45√q^5

Step-by-step explanation:

Which ordered pairs could be points on a line parallel to the line that contains (3,4) and (-2,2) check all that apply.
Options:
(-2,-5) and (-7,-3)
(-1,1) and (-6,-1)
(0,0) and (2,5)
(1,0) and (6,2)
(3,0) and (8,2)

Answers

Answer:

B: (-1, 1) and (-6, -1)

D: (1, 0) and (6, 2)

E: (3, 0) and (8, 2)

Step-by-step explanation:

Hope this helps! :D

Answer:

there' yo answer. B,D,E

How to convert 7 over 9 to a decimal?

Answers

you would divide 7 by 9 (also seen as 7/9)
It would be .8 I hope this helps

15x + 35 = 65 * what does X=

A. x = 2
B. x = -2
C. x = 5
D. x = 50

Answers

Answer:

A

Step-by-step explanation:

15x+35=65

15x=30

x=2

Answer: X= 2

Step-by-step explanation:

We know that 15 + 35 = 50.

But we still need to figure out the X, out of the options multiply it by 2 will get you 30. If we have 30 then we can complete our equation.

15x2 = 30 + 35 = 65

Hope this helps :D

Can you explain it and help me out pleasssee​

Answers

B is the correct answer.

Answer:

B.

Step-by-step explanation:

Answer:

B. x= -1, x=3

Step-by-step explanation:

4x²-8x -12 =0 /:4

x² - 2x -3=0

x² - 3x + x -3 = 0

x(x-3) + 1(x-3)=0

(x-3)(x+1)=0

x-3 =0 or x+1 =0

x=3 and x = -1

Solve the equation if 0 degrees<=x<=360 degrees.
sinx= -sqrt 2/2

Answers

Answer:

Step-by-step explanation:

hello :

sinx = - -√2/2        0°≤x≤360°

x = 225°

x= 315°

The value of x in this equation is 315°

What are trigonometric functions?

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here:

Sinx= -√2/2

x     =sin⁻¹( -√2/2)

x      = -45°

Therefore positive angle of x is given by 360-45=315°

Hence, The value of x in this equation is 315°

Learn more about trigonometric functions here:

https://brainly.com/question/6904750

#SPJ3

help me pls ill give brainly
64−(3y+8y+y)÷40=37

Answers

64 - (3y + 8y + y) / 40 = 37

Simplify 3y + 8y + y

64 - 12y / 40 = 37

Add 12y / 40 to both sides and subtract 37

27 = 12y / 40

Multiply both sides by 40

1080 = 12y

Divide both sides by 12

90 = y

Answer:

y=90

Step-by-step explanation:

Collect the like terms first (3y, 8y, and y) and add them together, which gives you 12y. Equation looks like this so far 64-12y/40=37

Divide the -12 by 40, which can be reduced to -3/10.Equation so far: 64-3/10y=37

Multiply each side by 10 to cancel out the 10 in -3/10y. Equation so far: 640-3y=370

Use inverse operations to move the 640 with the 370. Equation so far: 3y=370-640

Subtract 640 from 370, which gives you -270. Then you'll have -3y=-270 and divide both sides by -3.

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