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

2 2/6 + 3 2/6?? help pls im dumb ​

Answers

Answer:

5 4/6

Step-by-step explanation:

You have to add the whole numbers then add the numerators of the fraction since the denominators are the same.

In a Petri dish a certain type of bacterium doubles in number every 40 minutes,there were originally 64,or 2^6,bacteria in the dish after 20 minutes,the number of bacteria has doubled 3 times,multiplying by 2^3.Now the population of bacteria is 2^6•2^3. Expressed as a power,how many bacteria are in the Petri dish after 120

Answers

Answer:

[tex]Population = 2^{24}[/tex]

Step-by-step explanation:

Given

[tex]Initial = 2^{6}[/tex]

Increment = doubles every 40 minutes

Required

Determine the population after 120 minutes

First, we need to determine the fraction of 120 to 40

[tex]Fraction = \frac{120}{40}[/tex]

[tex]Fraction = \frac{3}{1}[/tex]

[tex]Fraction = 3[/tex]

If for every 40 minutes, we have:

[tex]Population = 2^6*2^6[/tex]

We'll have:

[tex]Population = 2^6 * 2^{6 * 3}[/tex] at the 120the minute

[tex]Population = 2^6 * 2^{18}[/tex]

Apply law of indices

[tex]Population = 2^{6+18}[/tex]

[tex]Population = 2^{24}[/tex]

Answer:

its 2-9

Step-by-step explanation:

Solve for x. 0 = 2x² + 3x + 5

Answers

Answer: No real solutions.

Step-by-step explanation:

Round 7,954 to the place named.

Answers

Answer:

8.0

Step-by-step explanation:

Answer:

8.0, 7.95, 8.0

Step-by-step explanation:

I don't know how I'm supposed to explain this but um. Yeah those are the answers

-2 = ( 4 + z ) / -2
I need help answer fast

Answers

Z=0 hope this helpsssss

Six less than 2/3 of a
number is eighteen.

Answers

Answer:

36

Step-by-step explanation:

i think

The number must be 33
Hope this helps and a Brainliest would be appreciated

The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.

Answers

Answer:

a) R=P+C

b) $870

Step-by-step explanation:

a)

since P=R-C we can do the following to solve the equation for R:

P=R-C

P+C=R-C+C (add C to both sides to get R by itself)

P+C=R

b) P=350  C=520

since R=P+C,

R=350+520

R=870

Answer:

Use the new formula to find the value of R given that

0.52 X 2.1 =
Help i don’t understand

Answers

Answer:

1.092

Step-by-step explanation:

Which angles are vertical angles?

Answers

Answer:

<DCA and <BCF

Step-by-step explanation:

The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.

When two lines cross, two angles that are vertical two one another are equal. They are know as vertically opposite angles. When two straight lines cross each other, four angles are produced. The two vertically opposite have the same values.

Find the 18th term of this arithmetic sequence:
12, 26, 40, 54,...

Answers

Answer:

djzkbhjejbebdhhfhhffhfhfhhfhfffhhfhfjfjfjf#/!cupcupcupcupFairmont

answer would be 252 i’m pretty sure

A 24-ounce bag of name brand of cereal is $1.19. How much is it per ounce? Round to the nearest cent.

Answers

Answer:

It would be around 5 cents an ounce

Step-by-step explanation:

0.04958333333 would be the answer but you have to round to the nearest cent so the correct and proper answer would be .05 cents per ounce

Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.

Answers

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

State the range of the relation. {(3,-2),(4,-3),(5,-4),(6,0)} *

Answers

Answer:

range { -4,-3,-2,0}

Step-by-step explanation:

The range is the output values

range { -4,-3,-2,0}

From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.

Answers

Answer:

Train =9 hours

Bus =12 hours

Step-by-step explanation:

Find attached the solution

Let the time taken by train be x

So the time taken by bus = 3+x

Speed of train =79 mph

Speed of bus = 59.25mph


4x2 - 9y2 – 20x + 25

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=2x−5 and b=3y

.

(2x−5+3y)(2x−5−3y)

Step-by-step explanation:

hope this helps

Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.

Answers

Answer:

The value of every digit in a decimal figure is given by its position in that figure.

Step-by-step explanation:

The Rule:

The value of every digit in a decimal figure is given by its position in that figure.

For the figure 8.888, from left to right,

The first 8 is in units

The second 8 is in tenth (this means 8/10 = 0.8)

The third 8 is in hundreth (this means 8/100 = 0.08)

The fourth 8 is in thousandth (this means 8/1000 = 0.008)

The sum of the place values of the digits after the decimal point = 0.888

when the unit 8 is added, you then get 8.888

Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When he filled the tank, he recorded the mileage as 24,033 miles. It cost him $83.38 to fill his completely empty gas tank. Then If gas cost $3.79 per gallon, how many gallons of gas can his tank hold? Then When he got to their destination there was exactly ¼ that amount of gas left in the tank. The new mileage on the truck was 24,297 miles. Determine the gas mileage, in miles per gallon, for the trip. How many gallons were used? How many miles were driven? How many miles per gallon did his truck get?

Answers

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

help me please, it’s urgent. i know how to solve this but how does the equation go?

Answers

Answer:

Equation:

10x-5= 4x+25

And x=5

Which of the following is not a way to represent the solution of the inequality 3(2x − 1) greater than or equal to 4(2x − 3) − 3? (1 point)

x less than or equal to 6
6 greater than or equal to x
A number line with a closed circle on 6 and shading to the left
A number line with a closed circle on 6 and shading to the right

Answers

Answer:

A number line with a closed circle on 6 and shaded to the right.

Step-by-step explanation:

Answer:a number line with a closed circle on 6 and shading to the right

Step-by-step explanation:I think I’m right! Good luck

What is the distance in coordinate units between 2+6i and -4+3i in the complex plane

Answers

Answer:

lafante

Step-by-step explanation:

Distance in co ordinate units is √27  .

Given,

2+6i and -4+3i in the complex plane

To get distance between these numbers we have to find modulus of their difference:

z = z1 - z2 = (-4 + 3i) - (6i + 2) = -6 -3i

So, distance

d = |(-6 -3i)|

Finding the magnitude of the complex plane obtained ,

= √-6² + (-3i)²

=√27 .

Thus the distance between two complex plane is √27 .

Know more about complex plane,

https://brainly.com/question/24296629

#SPJ4

A certain brand of coffee comes in two sizes. A 10.5-ounce package costs $2.99. A 29.3-ounce package costs $7.98. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Answers

Answer:

The unit price are:

$0.285 for the 10.5 ounce package

$0.272 for the 29.3 ounce package.

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Step-by-step explanation:

From the question:

A 10.5-ounce package costs $2.99.

The unit price = 1 ounce.

10.5 ounce = $2.99

1 ounce = x

10.5 ounce × x = 1 ounce × $2.99

x = 1 ounce × $2.99/10.5 ounce

x = $0.2847619048

The unit price = $0.2847619048

Approximately = $0.285

A 29.3-ounce package costs $7.98.

The unit price = 1 ounce.

29.3 ounce = $7.98

1 ounce = x

29.3 ounce × x = 1 ounce × $7.98

x = 1 ounce × $7.98/29.3 ounce

x = $0.2723549488

The unit price = $0.2723549488

Approximately = $0.272

The size that is the better buy based on the unit price is the 29.3-ounce package costs $7.98 because it's unit's price($0.272) is lesser than that of the 10.5 ounce package.

Answer: i did this test

Step-by-step explanation:

3. A parking fee at SM Lucena costs P25.00 for the first two hours and an extra P5.00
for each hour of extension. If you park for more than twelve hours, you instead
pay a flat rate of P100.00. Represent your parking fee using the function pit)
where t is the number of hours you parked in the mall.
Answer:
(Fill in the missing terms to show the
25 if
p(t) =} (25 + 5t) if
ift > 12
piecewise function of the problem)​

Answers

Answer:

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

Step-by-step explanation:

Given

1. When time is not more than 12 hours.

Base amount = P25

Additional = P5 per hour

2. When time is more than 12 hours

Fee = P100 one time payment

Represent (1) as a function of t.

p(t) = Base Amount + Additional * t

p(t) = 25 + 5 * t

P(t) = 25 + 5t --- when t ≤ 12

Represent (2) as a function

P(t) = 100 ---- when t > 12

So, the complete function is

p(t) = 25 + 5t if t ≤ 12

p(t) = 100 if t > 12

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x

Answers

Option A is correct answer, reflection across y axis

Answer:

A

Step-by-step explanation:

A company that makes hair care products had 6,000 people try a new shampoo of the 6.000
people, 12 had a mild allergic reaction. What percent of the people had a mild allergic reaction


Answers

Using the percentage concept, it is found that 0.2% of the people had a mild allergic reaction.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 12 out of 6000 people had a reaction, hence:

[tex]P = \frac{12}{6000} \times 100\% = 0.2\%[/tex]

0.2% of the people had a mild allergic reaction.

More can be learned about the percentage concept at https://brainly.com/question/10491646

(x - 3)? > -3(x + 2) for x = 3

Answers

Answer:

The Left side (0) is greater then the right side (-15)

Step-by-step explanation:

(x - 3) is greater than -3(3+2)

fill in the missing number in the table for the equation y= -3 + 2​

Answers

y = -3x + 2?

Plug in the value x = 6.

y = -3(6) + 2

y = -18 + 2

y = -16

Hope this helps

Lines Project Journal
need help for number 3​

Answers

Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

[tex]5^{2}[/tex]  +  [tex]13^{2}[/tex]  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

[tex]\sqrt(194)[/tex]  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  [tex]\sqrt{x^2+y^{2}[/tex]  , where x and y are the change in x and y between the two points.


A 20 gallon tank is full. How many gallons are in the tank?

Answers

Answer:

20???

Step-by-step explanation:

20 gallons because it is full and the most that can be filled up is 20 gallons

Paisley earned $384.30 at her job when she worked for 21 hours. How much money did she earn each hour?

Answers

Answer:

18.3

Step-by-step explanation:

384.3 divided by 21

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