A large field measures 70 feet by 525 feet. If you divide it up into equal square garden plots, what size would the largest possible plot be with sides of whole number length?​

Answers

Answer 1

9514 1404 393

Answer:

  35 feet square

Step-by-step explanation:

The greatest common factor of 70 and 525 is 35. The largest square plot can be 35 feet on a side.

  70 = 2·35

  525 = 15·35

__

I like to find the GCD (greatest common divisor) using Euclid's algorithm. We find the remainder when dividing the larger by the smaller. When that remainder is not zero, we replace the larger number with the remainder, and repeat. When the remainder is zero, the divisor is the GCD.

  525/70 = 7 r 35

  70/35 = 2 r 0 . . . . . 35 is the GCD


Related Questions

PLZ OFFERING HIGH POINTS
You kayak up a river at a rate of 36 feet every 30 seconds. You kayak 304 feet every 2 minutes on the way back down the river. How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river?

Answers

Answer:

400 feet

Step-by-step explanation:

on way up you travel 35 ft in 30 sec or 144 ft in 120 sec (2 min)

on way down you travel 304 ft in 120 sec (2 min)

the distance traveled for 5 minutes at rate from way 'up' is 360 feet

the distance traveled for 5 minutes at rate from way 'down' is 760 feet

difference is 400 feet

Answer:

400

Step-by-step explanation:

Sleepy

WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER!!!!!

Answers

Answer:

9 cm

Step-by-step explanation:

1/3x3=1

10-1=9

Help plz - 3/4 x - 2/5

Answers

Answer:

3/10

Step-by-step explanation:

Scientists predict that there is a 0.8 chance that there will be an earthquake in San Francisco this year. How likely is that there will be an Earthquake?

Answers

Answer:

80%

Step-by-step explanation:

The ratio of the measures of the three sides of a triangle is 1/4:1/3:1/6 and its perimeter is 31.4 centimetres find the length of the shortest side

Answers

Given:

The ratio of the measures of the three sides of a triangle is [tex]\dfrac{1}{4}:\dfrac{1}{3}:\dfrac{1}{6}[/tex].

Its perimeter is 31.4 centimeters

To find:

The shortest side of the triangle.

Solution:

Let the measures of the three sides of a triangle are [tex]\dfrac{1}{4}x,\dfrac{1}{3}x,\dfrac{1}{6}x[/tex] respectively (in cm).

Its perimeter is 31.4 centimeters.

[tex]\dfrac{1}{4}x+\dfrac{1}{3}x+\dfrac{1}{6}x=31.4[/tex]

[tex]\dfrac{3x+4x+2x}{12}=31.4[/tex]

[tex]\dfrac{9x}{12}=31.4[/tex]

[tex]\dfrac{3x}{4}=31.4[/tex]

On further simplification, we get

[tex]3x=4\times 31.4[/tex]

[tex]3x=125.6[/tex]

Divide both sides by 3.

[tex]x=\dfrac{125.6}{3}[/tex]

[tex]x=41.867[/tex]

Now, the sides of triangle are

[tex]\dfrac{1}{4}(41.867)=10.467[/tex]

[tex]\dfrac{1}{3}(41.867)=13.956[/tex]

[tex]\dfrac{1}{6}(41.867)=6.978[/tex]

Therefore, the length of the shortest side is 6.978 cm.

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Answers

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

Help me find y intercept, slope, and linear function

Answers

Answer:

y=5 m=3

Step-by-step explanation:

i mean it shows you the y intercept and the slope and the linear function all in that one picture

Answer:

y-intercept = 5  

slope = -1/3

Step-by-step explanation:

Please show work, i’ll mark as brainliest

Answers

Answer:

y=4

x=-3

Step-by-step explanation:

4(-3)-9y=-48

-12-9y=-48

-9y=-36

y=4

x=-3

Answer:

simple please follow me and mark it brainliest

Step-by-step explanation:

given 4x-9y=-48

x=-3

substituting value of x in given equation

We get

4(-3)-9y=-48

-12-9y=-48

-9y=-48+12

y=-36/-9

y=36/9

y= 4

Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

There are 2 sketches in case you need more room.



`-3x+y=-2`

`y=4x`

Answers

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pressure in grams per square centimetre.

Answers

Step-by-step explanation:

1pound =0.4536kiligrams=,453.6grams

1square inch =2.54×2.54=6.4516

(32pounds/inch√2square

×453.6g)

(14515.2g/inch √2

÷6.4516)/6.4516

(2,262.34414)1cm√2

2262g/cm2

The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?

Answers

Answer:

The number of hours.

Step-by-step explanation:

The dependent variable is what you are mesuaring.

- 10x - 5y = 5 - 4x + 5y = 23

Answers

The answer is (-2,3)

Can you help me on theese two show work!

Answers

Answer:

Step-by-step explanation:

2 1/8-3/4

17/8-3/4

17/8-6/8

11/8

6 3/5-3 4/5

33/5-19/5

14/5

Answer:

1.       2 1/8 - 3/4 = 1 3/8

(work is below)

2 1/8 - 6/8

17/8 - 6/8

11/8

1 3/8

2.       6 3/5 - 3 4/5 = 2 4/5

(work is below)

6 3/5 - 3 4/5

33/5 - 19/5

14/5

2 4/5

Explanation :

First, you need to convert the mixed numbers into improper fractions. Then, you make sure the denominators are the same. (For example, in the first problem, you have to change the 3/4 to 6/8 to match the 17/8.) Then, you subtract the two fractions, and then turn the resulting improper fraction to a mixed number!

Solve for the value of k. (k+8) 400​

Answers

Answer: The answer to this math question about solving for the value of k with the given full of the angles is k = 6.

Step-by-step explanation: As always to remember, all of the forming angles to a straight line with a sum of 180 degrees, so anyways, here are 6 steps in order to solve for the value of k:

Step 1. First, let's find the measures of the value of all 3 angles, the measures of all 3 angles are, 8°, 90°, and 40° that looks in the equation form like this: [tex]7k + 8 + 90 + 40 = 180.[/tex]

Step 2. Next, after finding the measures of the value of all 3 angles, it's time to add all 3 angles up together that looks in the equation form like this: [tex]7k + 138 = 180.[/tex]

Step 3. Then, let's move positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side that looks in the equation form like this: [tex]7k = 180 - 138.[/tex]

Step 4. In addition to that, after moving positive 138 to the right side so you got negative 138, and keep the positive 180 the same when moving to the left side, it's time to subtract 138 degrees and 180 degrees that looks in the equation form like this: [tex]7k = 42.[/tex]

Step 5. Now last but not least is finally, after subtracting 138 degrees and 180 degrees, it's time to divide the both sides by 7 that looks in the equation form like this: [tex]\frac{7k}{7}=\frac{42}{7}.[/tex]

Step 6. Hence the value of k is 6.

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about solving for the value of k with the given full of the angles, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and a great weekend! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

The given polygons are similar. Find the value of x.

Answers

Answer:

x= 10 hope it helps have a nice day

Answer:

x=10

Step-by-step explanation:

[tex]\frac{8}{12} =\frac{x}{15}[/tex]

8×15=12x

120=12x

120/12=x

10=x

x=10

Hope this helps! :)

Mrs.Kimble earns 125 per week

Answers

Answer:

$60 per week

Step-by-step explanation:

Answer:

that mean Mrs. Kimble gets about $18 everyday

Step-by-step explanation:

125 divided by 7 = 17 round up and its 18

Please help! Thanks!

Answers

Step-by-step explanation:

Put the what given of y in equation 2 to equation of 1

So you get

[tex] \frac{4}{5} x + \frac{2}{5} x - 7 = - 4 \\ \frac{6}{5} x = 3 \\ x = \frac{15}{6 } \\ x = \frac{5}{2} [/tex]

Then put the value of x in second equation

You will get

[tex]y = - \frac{2}{5} \times \frac{5 }{2} + 7 \\ \\ y = 6[/tex]

How many solutions will this equation have? 3(x -4) = 2x + x -4

Answers

Answer:

The equation will have 0 solutions as it is incorrect equation

I = $164.50, P = $940, t = 2.5 years
Plz help and show work

Answers

need more information!

An airplane at 25,000 feet begins its descent. The plane descends 500 feet per minute. Write an equation in the form y = mx + b to model the height of the plane during its descent.

Answers

Answer:

y=500x+25000

where y is height in ft

and x is time in minute....

× - 10 = 4. That's the full question ​

Answers

Answer:

x-10=4

×=4+10

×=14

..............

I need help with 3/1 2 - 1/1 3​

Answers

Answer:3/

1

Step-by-step explanation: 0 < 2 < 3 = 3

0 is less than 2 is less than 3 is equal to 3

0/

1

< 2/

1

< 3/

1

= 3/1

h o p e      i t      h e l p s O_O

An older person is 4 years older than 7 times the age of a younger person. The sum of their ages is 44. Find their ages

Answers

Answer:

5 yr and 39 yr

Step-by-step explanation:

Let x = the age of the younger

then 7x + 4 = the age of the older

Now x + 7x + 4 = 44

8x + 4 = 44

8x = 40

x = 5

7x + 4 = 7(5) + 4 =  35 + 4 = 39

Check:  5 + 39 = 44

Factor the expression below.
x2 + 12x + 36
O A. (x + 9)(x+4)
O B. (x - 9)(x-4)
C. (x+6)(x+6)
O D. by-6)(x-6)
I was thinking c but I don’t know

Answers

Answer:

Step-by-step explanation:

Yes it is C, u are right

Answer:

C    (x + 6)(x + 6)

Step-by-step explanation:

Look for 2 factors of 36 that add up to twelve.   6 and 6 do that, so

[tex]x^{2} + 12x + 36 = (x+6)(x + 6)[/tex]

Foil to check

For the single roots - 1 and 2, the graph
the x-axis at the intercepts.
For the double rbot 3, the graph
the x-axis at the intercepts.

Answers

Answer:

for the single roots -1 & 2, the graph CROSSES the x-axis at the intercepts

for the double root 3, the graph TOUCHES the x-axis at the intercepts

Step-by-step explanation: took it on edge

Answer:

Crosses EDG 2021

Step-by-step explanation:

shine sold two tables at 9900 rupees each.he got 10% profit in one sale and 10% loss in the other.did the total sale result in a profit or loss? what percentage? please give me step by step explanation​

Answers

the total sale was neither a profit nor loss , 0%

Step-by-step explanation:

1st table :

100%-> 9900

110%-> 10890

10890-9900=990(earned)

------------------------------------------

2nd table :

100%->9900

90%-> 8910

9900-8910=990(lost)

990-990=0

hence the total sale was neither a profit nor loss , 0%

Find x for brainliest

Answers

Answer:

4

Step-by-step explanation:

6/(6+6) = 5/(5+5) = (3x+5)/(5x+14) = 1/2

3x+5 = 1/2*(5x+14)

6x+10 = 5x+14

x = 4

Jenna wants to build 8 birdhouses. She needs 2 3/5 square feet of plywood for each birdhouse. If the plywood costs $0.56 per square foot, how much will it cost Jenna to make her birdhouses?

Answers

Answer:

$11.76

Step-by-step explanation:

We first need to find the amount of plywood for all birdhouses.

2 3/5 * 8 = 104/5 or 20.8 or 20 4/5

Now we can solve the cost for all the birdhouses by multiplying the total amount of plywood needed by the price per square foot.

20.8 * 0.56 = $11.648 or estimated $11.65

Remember, the question might be different, so don't submit anything yet. If the people who sell the plywood only sell in integer numbers (meaning you can't buy 4/5 of a square foot of wood but can only by amounts with no fractions), then Jenna must buy 21 square feet of plywood and will have a little bit of wood left over. Now solve just like before.

21 * 0.56 = $11.76

Therefore the answer is $11.76 if she can only buy an integer amount of plywood or estimated $11.65. I think the best answer is 11.76.

In one year, the toll for passenger cars to use a tunnel rose from $3 to $3.50. What is the percent increase? Remember to round to nearest whole number.​

Answers

17% increase

Increase = 50
Original amount = 300

50/300 = 0.166
0.166 x 100 = 16.6 or 17 to the nearest whole number

A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion
A) is valid. The last 10 customers only bought sale items.
B) is correct. This is the average amount spent by any customer.
C) is invalid. This is not a good representation of all customers.
D) is unfair. The last ten people in the store may have been tired.

Answers

Answer:D

Step-by-step explanation:

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