Dylan is planting flower boxes to decorate the school entrance. He has 64 marigolds and 72 periwinkles. Each flower box must contain both flowers. He puts the same number of marigolds in each flower box, and the same number of periwinkles in each flower box. What is the maximum number of flower boxes Dylan can plant and how many marigolds and periwinkles will each flower box have?

Answers

Answer 1

Answer:

Dylan can plant maximum 8 plants.

Number of marigolds in each flower box  [tex]=8[/tex]

Number of periwinkles in each flower box  [tex]=9[/tex]

Step-by-step explanation:

Number of marigolds = 64

Number of periwinkles = 72

To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.

[tex]64=2^6\\72=2^3\,\,3^2[/tex]

So,

H.C.F(64, 72) = [tex]2^3=8[/tex]

That is Dylan can plant maximum 8 plants.

Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]

Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]


Related Questions

Multiply. Enter the product in simplest form.
2/7 x 4/5

Answers

The answer is 8/35 ;)

PLEASE HELP ME TO SoLVE THIS Questions​

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This is the answer key lol, I was boutha do that math but I was like wait hold up ima js search the paper up. Hope this helps lol

If someone can help me on this one as well it would be great.

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An

espera y termino y te ayudo vale que me falta poco

PLZZZ I NEED HELPP THANK YOU SO MUCH

Answers

Answer: A.) B.) D.)

Step-by-step explanation:

It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.

Eight division two thirds

Answers

The answer is twelve. I used a calculator to solve.

Answer:

12

Step-by-step explanation:

If you are saying "eight divided by two thirds", it would be written as 8/2/3. 8 would be equal to 8/1 and the rule for dividing fractions is keep change flip, so keep 8/1, change the division to multiplication, and then flip 2/3 to 3/2.

You would get 8/1 * 3/2. 8 multiplied by 3 is 24, 2 multiplied by 1 is 2, therefore, you get 24/2, which simplifies to 12 if you divide by 2.

HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE

Answers

Answer:

Sorry if I’m wrong but is it ... 90???

Step-by-step explanation:

Answer:  B) 89

========================================================

Work Shown:

The given list is {95, 89, 99, 85, 82, 81, 99}

Sort this list from smallest to largest.

We then have this: {81, 82, 85, 89, 95, 99, 99}

Next we will erase the first and last items in that sorted list above

Doing so leads to this smaller list: {82, 85, 89, 95, 99}

Repeat the step from before. Erase the first and last items

We now have {85, 89, 95}

One more time lets erase the first and last items getting {89}

This shows that 89 is the very center item

Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)

Therefore, the median is 89.

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

Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.

Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4

The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}

Note: this trick only works if you have an odd number of items in a set.

Enter the correct answer in the box by replacing the values of m and b.

Answers

Answer:

f(x) = -2x + 5  Plato

Step-by-step explanation:

Which situations accurately describe a ratio of ? Select all that apply.

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Tobias picked five daisies and eight roses.
Aly painted eight trees for every three birds.
For every eight shots, Micah made five baskets.
Please help :/

Answers

If the ratio is 5/8, or 8/5

Tobias picked five daisies and eight roses.

For every eight shots, Micah made five baskets.

If the ratio is 5/13, or 13/5

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.

If the ratio is 8/3, or 3/8

Aly painted eight trees for every three birds.

What is the decimal value of 5/6? I’m learning 7th grade math

Answers

Answer:

.83 repeating

Step-by-step explanation:

okay so all you do is take the top number divided by the bottom =)

A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x.

Answers

Answer:

Square Perimeter = 4(4x-1)

Rectangle Perimeter = 2(2x+1) + 2(x+2)

 

Square Perimeter = Rectangle Perimeter

4(4x-1) = 2(2x+1) + 2(x+2)  

16x - 4 = 4x + 2 + 2x + 4

16x - 4 = 6x + 6

-6x  +4  -6x  +4

10x = 10

x = 1

Step-by-step explanation:

hope that helped?

Find the value of X. Then find the angle measures of the polygon.

Answers

Answer:

x=75

The measures of the polygon are 75, 105, 70 and 110.

Step-by-step explanation:

Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:

(x-5)+(x+35)+(1.4x)+(x)=360

x-5+x+35+1.4x+x=360

4.4x+30=360

4.4x=330

x=75

Now, to find the angles, all you have to do is plug in 75 for x in every angle:

First angle: 75

Second angle: 1.4*75=105

Third angle: 75-5=70

Fourth angle: 75+35=110

Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?

Answers

Answer:

1166 is the answer to your suggestion

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?

Answers

Given :

Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.

He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.

To Find :

Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.

Solution :

Let, after x years Abraham visited y countries.

It is mathematically given as :

[tex]10 + 5x=y[/tex]

Now, it is given that his goal is minimum of 50 countries.

So,

[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]

Therefore, minimum years required to meet his goals are 8.

Hence, this is the required solution.

Answer:

Im pretty sure the answer is C

Step-by-step explanation:

Good Luck!!!

plzz helppp
complete a proof in paragraph form for the alternate interior angles
theorem

given p||q
prove: m<3=m<5

Answers

Answer:

i sowwy

Step-by-step explanation:

pressions: Practice
Question 1 of 5
Select the correct answer.
Which expression is equivalent to the given expression?
3(x – 7) + 4(x2 – 2x + 9)

Answers

Answer: 14

Step-by-step explanation: Factoring  x2-2x+9  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +9  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 9 = 9  

Step-2 : Find two factors of  9  whose sum equals the coefficient of the middle term, which is   -2 .

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  +15  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 15 = 60  

Step-2 : Find two factors of  60  whose sum equals the coefficient of the middle term, which is   -5 .

     -60    +    -1    =    -61  

     -30    +    -2    =    -32  

     -20    +    -3    =    -23  

     -15    +    -4    =    -19  

     -12    +    -5    =    -17  

     -10    +    -6    =    -16  

For tidiness, printing of 18 lines which failed to find two such factors, was suppressed

4x2 - 5x + 15= x=14

Does (12+6)÷2 and 12+6÷2 have the same answer

Answers

Answer:

No

Step-by-step explanation:

If you go by PEMDAS then you would do whatever is in the parenthesis first, which in this case would be 12 + 6. And then you would divide, so 12 + 6 = 18/2 = 9. In the other equation you would do division first, so that would be 6/2 which equals 3 and then you would add that to 12 which equals 15.

Answer:

No, because it has parentheses. You have to do the parentheses first (cause of order of operations) and the divide, (or based on whatever your step is from order of operations) which your going to get a diff answer.

Does anyone know how to do this??

Answers

Answer:

Step-by-step explanation:

i'll explain how to do 9), it is the same process for the rest

y = 2x - 1

thus the value of 'y' should be the same as the result of '2x - 1'

when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)

when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)

when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)

so in the table we have

x        2x - 1      y         (x, y)

5          9          9         (5, 9)

2          3          3         (2, 3)

0          1           1          (0, 2)

we can now plot these values on a graph to look like so

simplify the following expression: -4x^5y^4x x 5xy^7z^4

Answers

Answer:

[tex]-20x^{7}y^{11}z^{4}[/tex]

Step-by-step explanation:

Multiply: -4 and 5 which then equals [tex]-20x^5y^4x[/tex] X [tex]xy^7z^4[/tex]

Add Exponents: [tex]x^5+x1+x1[/tex] and then [tex]y^4+y^7[/tex]which finally equals to the answer, [tex]-20x^7y^{11} z^4[/tex]

look at the photo: please help

Answers

Answer:

3.66666666667

Step-by-step explanation:

I calculated it

Answer:

2 1/3

Step-by-step explanation:

4 + (-1 2/3) = 2 1/3

Jeremiah is 68 inches tall. This is ten inches less than three times Kyle’s little brothers height. How tall is Kyle’s little brother?

Answers

38 inches tall, or 3 feet 2 inches

HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest


14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35



21. explain how to compare 0.7 and 5/8

Answers

Answer:

14: 1/5, 0.35, 12/25, 0.5, 4/5

17: -2 4/5,-2.6, -2.3

18: -6.0, -0.72, -5/8, -7/12

19: 1.2, 1 1/3, 1.45, 1 1/2

20: -3.0, -0.35, 0.5, 0.55

Fraction Into Decimal:

14: 1/5=0.2, 12/25=0.48, 4/5=0.8

17: -2 4/5= -2.8

18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)

19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)

Explanation:

To start with, you need to convert the fractions into decimals in order to compare them easier

Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line

Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.

Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!

in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer vanilla ice cream make a prediction?

Answers

Answer:

63

Step-by-step explanation:

8 / 32 = 0.25

Multiply 0.25 with 252

0.25 * 252 = 63

This process simply applies the same ratio from the first test to the second test.

Last question- please answer this!

Answers

The ratio of 11k boys to 9k girls. (We use k as a variable because in ratio question the numbers are the divisors of the original number). We have to subtract 9 from 11, we find 2. Since the original numbers of the boys and girls can be divided by 11 and 9, we can understand that by dividing 124 to 2 we will find the value of k. k = 62 . Then we do the multiplication. 62 . 11 = 682, 62 . 9 = 558. Then we add them to find the TOTAL number of students. 682 + 558 = 1240

HELP MATH HW URGENT!!!! I’ll give branliest to whoever can solve one at least!!

Answers

For the first one, it’s (-0.5 , 3)

Answer:

A. (-.5, 3)

B. y=-2x+2

C. y=-2x+7

Step-by-step explanation:

A. Midpoint formula, M=[tex]\frac{x_{1 }+x_{2}}{2} + \frac{y_{1 }+y_{2}}{2}[/tex]

B. Find the slope given Δy/Δx which just means change in y over change in x. -2-8/2-(-3) which is -10/2 which reduces to a slope of -2. Then use the point slope equation [tex]y- y_{1}=m(x-x_{1} )[/tex] where you fill in -3 for for x1 and 8 for y1. Solving for y gives you y=-2x+2

C. If a line is parallel to another line then they have the same slope, so the y=-2x part stays the same. What is different, though, is the y intercept. Luckily the y intercept is given in the problem, as the problem says the line passes through 0,7 so we know that this is the intercept. Thus, we know the equation is y=-2x+7

D. I'm not sure on this one, sorry. You can look up slope in ax+by+c=0 form though

Using the ordered pair below, what would be it's new location if it were translated with the rule (x - 4. y + 6)?

Answers

Answer:

Where is the ordered pair?

Step-by-step explanation:

Help with number 13. . . . . .

Answers

Answer:

6A, D

Step-by-step explanation:

So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).

Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.

Though, we know b*h is just A so we get 6A.  

Fill in the blank
A _______ equation is an equation whose graph is in a line.
Y divided by x equals ___________ proportionality.
A ____________ relationship has a constant rate of change and goes through the origin.
On a coordinate grid, the point (0,0) is called the ___________.
A ____________ relationship may have a constant rate of change but does not go through the origin.
plz help this is part of my homework i already did most of it but i could not remember this TwT

Answers

A linear equation is an equation whose graph is in a line.
On a cordon are grid the point is 00 is called the origin .

Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)

Answers

Answer:

y = 1/-2x + 0 or y = 1/-2x

Step-by-step explanation:

Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1

Answers

Answer:

D

Step-by-step explanation:

y=kx+m

In this case I think the slope would be k.

k=y2+y1 / x2+x1

(4,-1) and (-1,4)

k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answers

Answer:

7 years

Step-by-step explanation:

Let W = number of years they both have to work to make the same amount :

Amount made by Jaylon = 57000

Annual raise = 2500

Titak made after W years :

57000 + 2500w - - - (1)

Amount made by Anita = 64000

Annual raise = 1500

Total made after w years :

64000 + 1500w - - - (2)

Equate (1) and (2)

57000 + 2500w = 64000 + 1500w

2500w - 1500w = 64000 - 57000

1000w = 7000

w = 7000/ 1000

w = 7

Hemce, they'll both earn the same amount after 7 years

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