You are decorating a Rose Bowl float. There are 108 red roses, 144 white roses, 48 yellow roses, and 72 purple roses. If bunches of roses are identical and there are no leftover roses, what is the greatest number of bunches that can be made? How many roses of each color are in each bunch?

Answers

Answer 1

Answer:

Step-by-step explanation:

Number of red roses = 108

Number of white roses = 144

Number of yellow roses = 48

Number of purple roses = 72

If the number of roses in each bunch are identical,

Number of bunches of roses = HCF of number of roses

Factors of 144 = 3×3×2×2×2×2×1

Factors of 108 = 3×3×3×2×2×1

Factors of 72 = 3×3×2×2×2×1

Factors of 48 = 3×2×2×2×2×1

Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12

Therefore, number of bunches of roses with equal number of roses = 12

Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]

Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]

Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]

Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]


Related Questions

6(8-2x)=4x what is the answer to this equation?​

Answers

Answer:

x=3

Step-by-step explanation:

6(8−2x)=4x

Step 1: Simplify both sides of the equation.

6(8−2x)=4x

(6)(8)+(6)(−2x)=4x(Distribute)

48+−12x=4x

−12x+48=4x

Step 2: Subtract 4x from both sides.

−12x+48−4x=4x−4x

−16x+48=0

Step 3: Subtract 48 from both sides.

−16x+48−48=0−48

−16x=−48

Step 4: Divide both sides by -16.

−16x/−16=−48/−16

Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

1. true

2. true

3. false ( pie chart )

4. true

5. false ( y axis )

6. true

7. true

Hope this helps

plz mark as brainliest!!!!!!

Find the unit rate 18 cupcakes in 3 boxes

Answers

Answer:

6 cupcakes per box

Step-by-step explanation:

divide 18 by 3

Solve for x.


9x+4≤58 or 16x−2>3


x 30

x 30

Answers

Answer:

x ≤ 6

Step-by-step explanation:

Hope this helps!

19 points Solve for c. 5/4c+12=2

Answers

Answer:

C= -8

Step-by-step explanation:

I used a calculator

Answer:

c=-8

Step-by-step explanation:

[tex]\frac{5}{4}c[/tex] + 12 = 2

1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)

1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the             right do it to the left )

1.25c = -10

1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )

c = -8

HOPE IT HELPED

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

Answers

Answer:

It equals -2

Step-by-step explanation:

Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation



B.How much was Candice paid

Answers

(x - 45) / 3 = 192

Let's solve for x to find how much Candice was paid. Multiply both sides by 3

(x - 45) = 576

Add 45 to both sides.

x = 621

Candice was paid $621

Which expression is NOT equivalent to 4 x 3/8

Answers

Answer:

yea

Step-by-step explanation:

please help!!

Find the measure of angle Q and length of QR.


The perimeter of QRS is 344 cm. m QR= _______

Answers

Answer:

[tex]m\angle {Q}[/tex] = 56°

QR = 167

y = 136

Step-by-step explanation:

x-14<-6x+7≤13 solve for x

Answers

Answer:

−1  ≤  x  <  3

Step-by-step explanation:

Solve the system of inequalities.

X must be equal to or greater then -1 and smaller then 3.

You options are -1, 0, 1, & 2

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

Multiply the polynomials (3x+4)(5x+1)

Answers

Answer:

15x^2 + 23x + 4

Step-by-step explanation:

(3x+4)(5x+1)

You put them around a square, like in the picture.

You then cross multiply them.

After that, add all the numbers together.

Hope this helped!

Please help!!!
Geometry

Answers

Answer:

estimately 10.3

Step-by-step explanation:

what is the second step?

Answers

The third option is your answer

Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500

Answers

$1,365 is the answer, (the third choice)

Answer:

c

Step-by-step explanation:

bc

Find the term named in the problem.
-21, - 13, -5, 3, ...
Find a23

Answers

a(n) = a(1) + ( n - 1 ) × d

a(23) = -21 + ( 23 - 1 ) × 8

a(23) = -21 + ( 22 ) × 8

a(23) = -21 + 176

a(23) = 155

And we're done....

♥️♥️♥️♥️♥️

PLEASE HELP MEEEEE!!!!!!!

Answers

Answer:

Cheese: [tex]4\frac{3}{8}[/tex]  Milk: [tex]1\frac{2}{3}[/tex]  Pasta: [tex]6\frac{1}{4}[/tex]

Step-by-step explanation:

Cheese:

[tex]1\frac{3}{4} = \frac{7}{4}[/tex]  Set up a proportion: [tex]\frac{\frac{7}{4} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375[tex]4.375 = 4\frac{3}{8}[/tex]  

Milk:

Set up a proportion: [tex]\frac{\frac{2}{3} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 2/3 = [tex]6\frac{2}{3}[/tex], [tex]6\frac{2}{3}[/tex] ÷ 4 = [tex]1\frac{2}{3}[/tex]  

Pasta:

[tex]2\frac{1}{2} = \frac{5}{2}[/tex]  Set up a proportion: [tex]\frac{\frac{5}{2} }{4} = \frac{x}{10}[/tex]  Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25[tex]6.25 = 6\frac{1}{4}[/tex]  

I hope this helps!

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

Solve for indicated variable 4y + 3x= 5 for x

Answers

Answer:

4y + 15

Step-by-step explanation:

Mr. Yoshi has 75 papers. He graded 60 papers and he had a student teacher grade the rest. What percent of the papers did each grade

Answers

Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20

Angle Pairs Relationships HW
Accessibility Mode

Pictures above

Find the value of each variable

1. A= ?
B= ?
C=?

2. A=?

3. A=?
B=?
C=?

Answers

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

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If you read 28 pages a hour how many for hours per 1 page

Answers

Answer: 46.7

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

[tex]\frac{x}{1}= \frac{1}{28}[/tex]

cross multiply and you get 1/28

Algebra II Question Four 4-2 HW

Answers

Answer:

2

Step-by-step explanation:

Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

fafg and then do the 2a ab 2b

Step-by-step explanation:

Factor completely by grouping.
x^3 + 7x^2 + 9x + 63

Answers

Answer:

(x+7)(x2+9)

Step-by-step explanation:

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Step-by-step explanation:

The table shows how fast four students ran the 200-meter dash.

200-Meter Dash Results
Student Time (seconds)
Ben 40.53
Katie 34.02
Griffin 29.80
Kristin 44.56

How much faster did Griffin run the 200-meter dash than Ben? Enter your answer in the box.

Answers

Answer:

Griffin was 10.73 seconds faster than Ben

Step-by-step explanation:

Here, given the information in the question, we want to know how faster was Griffin than Ben in the race

Mathematically, that will be;

|29.80 - 40.53| = 10.73

This shows that Griffin was 10.73 seconds faster than Ben

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Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

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Y – 9.9 = 6.4
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Answers

to be honest I'm looking for the delay but if they are not going through it and it will work and I am going through it.

Hope the answer I gave you helps!!!
:)

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answers

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

[tex]6y + 13y - 10 = 180[/tex]

[tex] 19y - 10 = 180[/tex]

[tex]19y = 180 + 10[/tex]

[tex]19y = 190[/tex]

[tex]y = \frac{190}{19} [/tex]

[tex]y = 10[/tex]

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

[tex]60 + 9x + 12 = 180[/tex]

[tex]9x + 72 = 180[/tex]

[tex]9x = 180 - 72[/tex]

[tex]9x = 108[/tex]

[tex]x = \frac{108}{9} [/tex]

[tex]x = 12[/tex]

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .

144 is the product of -12 and q

Answers

A is equal to -12 as two negatives multiplied together form a positive and 12 times 12 is 144

Answer:

Step-by-step explanation:

Ok

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