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

PLZ HELP
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.

Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p

In which step did the student first make a mistake and how can it be corrected? (4 points)

a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)

b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)

c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)

d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

I think its c

Answers

Step-by-step explanation:

yes your answer is correct it's C

Simplify
Rewrite the expression in the form 9^n

9•9^2= ___

Answers

Answer:

9^3

Step-by-step explanation:

Since you are given 9^2 already and have to multiply that result by yet another nine, then your problem is 9^3

Hope this helps!

Milk that is 5% butterfat is mixed with milk that is 1% butterfat to produce 50 gal of milk that is 2% butterfat. How much of each type is used?

Answers

Answer:

I actually dunno

Step-by-step explanation:

I'm not good at math and physics

PLSSS HELP WILL GIVE BRAINLIEST IF CORRECT

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy cattle and 16 beef cattle in the barn. How many more beef cattle are on the farm than dairy cattle?

There are ? more beef cattle on the farm than dairy cattle.

Answers

Answer:

28 more beef cattle.

Step-by-step explanation:

Do 16*4 since 1/4 = 16 beef cattle. 16*4=64 total beef cattle on the farm.

Then do if there are 24 dairy cattle in the barn and that is 2/3 of all the cows.

1/3 = 12 so the total number of dairy cows on the farm is 12*3=36

Now subtract 64-36=28

There are 28 more beef cattle than dairy cows.

Hope this Helps!!

The number of cattle more than the number of beef will be 12.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Two-thirds of the dairy cattle on a farm are in the barn. One-fourth of the beef cattle are in the barn. There are 24 dairy cattle and 16 beef cattle in the barn.

Then the number of cattle is calculated as,

⇒ (2/3) x 24

⇒ 16

Then the number of beef is calculated as,

⇒ (1/4) x 16

⇒ 4

Then the number of cattle more than beef is calculated as,

⇒ 16 - 4

⇒ 12

The number of cattle more than the number of beef will be 12.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Can someone help with this?

Answers

Answer:

B

Step-by-step explanation:

Because it has to be less than or no more than $100

Answer:

8=D

Step-by-step explanation:

Find The Value Of X When 6-2x = 6x-10x+6. The Value Is

Answers

Answer:

x = 0

Step-by-step explanation:

6 - 2x = 6x - 10x + 6

1. Isolate the variable (x)

Add 2x to both sides

    6 - 2x = 6x - 10x + 6 -> 6 = 6x - 10x + 2x + 6

Subtract 6 from both sides

    6x - 10x + 2x + 6 -> 0 = 6x - 10x + 2x

2. Combine like terms

      0 = 6x - 10x + 2x -> 0 = -2x

3. Solve

Divide both sides by -2

       0 = x

*Note: 0 divided by anything is 0 so 0/-2 is 0

(unless it is 0/0 which equals 1)

Question 2 (5 points)
(07.02)
Simplify (3x - 5) + (3x + 6). (1 point)
Оа
бx - 1

1
Ос
бx - 11
Od
бx + 1

Answers

(3x-5) + (3x+6) can be simplified to 6x-1. Just combine like terms to find your answer!

Answer:

Option d: 6x +1

Step-by-step explanation:

Lisa won 118 pieces of gum at the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 10 remaining. How many students are in her class?

Answers

Answer:

27 students

Step-by-step explanation:

Answer:

There are 27 students

Step-by-step explanation:

She has 10 left over, so since it's not distributed to the total of the class, so 118 - 10 = 108

Then we divide that by 4 since she gave 4 to each person.

So 108 ÷ 4 = 27

There are 27 students in her class

Item 11 You buy 2.6 pounds of apples and 1.475 pounds of peaches. You hand the cashier a $20 bill. How much change will you receive? You will receive $ change.

Answers

Answer:

$14.90625

Step-by-step explanation:

Using the conversion rate

$1 = 0.8 pounds

If you buy 2.6 pounds of apples and 1.475 pounds of peaches, the total cost of apple and peaches is expressed as:

= 2.6 pounds + 1.475 pounds

= 4.075 pounds

Convert to dollars

$1 = 0.8 pounds

$x = 4.075 pounds

cross multiply

0.8x = 4.075

x = 4.075/0.8

x = $5.09375

This means that the cost of the apple and peaches is $5.09375.

If you hand the cashier a $20 bill, the change that you will receive will be: $20 - $5.09375 = $14.90625

What is 3x+7x=9-18? Math is confusing once you get into 7th grade.

Answers

Answer:

x-(-0.9)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation::3*x+7*x-(9-18)=0

Solve::10x+9 = 0

Subtract 9 from both sides of the equation::10x = -9

Divide both sides of the equation by 10::x = -9/10 = -0.900

Answer:

x = -0.9

Step-by-step explanation:

3x+7x=9-18

10x = -9

x = -9 / 10

x = -0.9

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

Solve for b.
5/b = 45/36
b = ?

Answers

Answer:

b=4

Step-by-step explanation:

Format rewrite:

Solve for 'b', when [tex]\frac{5}{b} =\frac{45}{36}\\\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\\5\cdot \:36=b\cdot \:45\\180=b\cdot \:45\\\\divide(45)\\\\\\\\\\b=4[/tex]

Hoped this help ya

<3

red

What is the answer to a+2/2 in two step equation?

Answers

Answer:

No its not be smartfjfkdnxnfnfn

A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?

Answers

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

Round 685,135 to the nearest ten thousand.

Answers

Answer:

690,000 I think

Step-by-step explanation:

X - 6 < -4 please help

Answers

Answer:

x<2

Step-by-step explanation:

Estimate the √14.6. Round to the nearest tenth.

Answers

Answer:

3.8

Step-by-step explanation:

Answer:

3.82/ 3.8

Step-by-step explanation:

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w

Answers

Step 1: m∠x + m∠y + m∠z = 180 degrees (sum of angles of a triangle) Step 2: m∠w − m∠z = 90 degrees (corresponding angles) Step 3: Therefore, m∠x + m∠y + m∠z = m∠w + m∠z Step 4: So, m∠x + m∠y = m∠w

Answer:

Step 1

Step-by-step explanation:

Which student correctly translated the phrase "twice the sum of a number cubed and nine" and evaluated it for r = 3?
Antonio's work Jessica's work Maria's work Mark's work
2(r + 9)
2(r+ 9) 2+p3 +9 2 + 3r + 9
2(3 + 9)
2(3' + 9)
2 + 3² +9 2 + 3(3) +9
O
2(9+ 9)
2(27+ 9) 2 + 27 + 9
2 + 9 + 9
2(18)
2(36)
29 + 9
11 + 9
36
(72
38
20
O

Answers

Answer:

answer is B

Step-by-step explanation:

i did it in e2022

person above me gets brainliest

Plssss help me :( ASAP

Answers

What are we supposed to be doing

PLEASE HELP IM CHECKING MY ANSWERS!!!

Answers

Answer:

y=5x

Step-by-step explanation:

yes your correct

A)

Sam counted his heartbeats while resting. His heart beat 220 times in 4 minutes. Sam's heart beat at the same rate for the 4 minutes. Complete the ratio of beats to minutes.

Answers

Answer:

220 to 4

Step-by-step explanation:

Your welcome

Please help me Evaluate -9 - (-4)

Answers

Answer:

Should be 13. Sorry if I’m incorrect!

Step-by-step explanation:

the answer is -5 because the minus after the 9 and the -4 in the parentheses makes the minuses a adding sign

Is reported is a linking verb or an action verb or a being verb need help ASAP 100 points

Answers

Answer:

Action verb

Step-by-step explanation:

Reported is an action verb

Answer: I'm pretty sure it's and action verb

Step-by-step explanation: a linking verb is something that brings the sentence together but an action verb is when you're doing something. Reporting is an action

Write the word sentence as an equation. Then solve.
The difference between a number pand 6 is -14
Equation
Solution p=
25

Answers

Answer:

p - 6 = -14

p = -8

Step-by-step explanation:

       The difference between a number p and 6 is -14

  Let the number  = p;

Equation:

          difference between the numbers:

                         p - 6

          equality;

                         p - 6 = -14

Equation; p - 6 = -14

Solution:

                p - 6 = -14

            add (+6) to both sides of the expression;

                 p - 6 + (+6) = -14 +(+6)

                 p = -8

If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$?

Answers

Answer:

AAA

Step-by-step explanation:

GET ECKED

Answer:

13

Step-by-step explanation:

This is my first time posting, so sorry if this isn't that clear.

Anyways:

We want to find the x-intercept, and the y-intercept. The x-intercept will always have 0 as y, and the y-intercept will always have 0 as x.

We can find the x-intercept by plugging in 0 as y. So:

x/4+0/12=1

x/4=1

x=4

a=4 (since a is equal to the x-intercept.)

We can find the y intercept by plugging in x as 0:

0/4+y/12=1

y/12=1

y=12

b=12

We can find the slope by using the equation y2-y1/x2-x1, but theres an easier way. Simplifying the original equation x/4+y/12=1 into y=--3x+12 immediatly gets us the slope of -3.

So, 12+4-3=13.

(In case you didn't know how I got y=-3x+12. This is how:

x/4+y/12=1

12(x/4+y/12)=1(12)

3x+y=12

y=-3x+12 )

which is true regardless the graphed function f(x)​

Answers

Where are the choices?

I NEED HELP FAST!!!!!! Line x and line z are straight lines.

Lines x, z, and y intersect to form 5 angles. From top left, clockwise, the angles are: a: right angle, b, c, d, e.

Which pair of angles are vertical?
Angle a and Angle d
Angle b and Angle d
Angle a and Angle b
Angle c and Angle e
It is not multiple choose

Answers

the answer is angle b and angle d

Answer:

D(Angle c and Angle e)

Step-by-step explanation:

Which pair of angles are vertical?

A (Angle a and Angle d)

B (Angle b and Angle d)

C (Angle a and Angle b)

D (Angle c and Angle e)

i took test on edeg 2021

got it right

A triangle has sides with lengths of 18 inches, 24 inches, and 30 inches. Is it a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

18^2+24^2=900

Square root of 900 is 30

This is derived from Pythagorean Theorem

Answer:

It is a right triangle

Step-by-step explanation:

Right Triangle

A right triangle has one of its internal angles of 90°. If such triangles, Pythagora's theorem must stand.

Being a and b the shortest sides of the triangle and c the longest side (hypotenuse), then:

[tex]a^2+b^2=c^2[/tex]

The shortest sides of the given triangle are 18 and 24, and the longest side is 30, thus the following condition must be met to prove it's a right triangle:

[tex]18^2+24^2=30^2[/tex]

[tex]324+576=900[/tex]

[tex]900=900[/tex]

Since the condition is met, we can conclude it is a right triangle

3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units

Answers

I’m pretty sure it’s B, 19.31 units. I hope this helps :)

9514 1404 393

Answer:

  b)  19.31 units

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2-y1)²)

  d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373

  d ≈ 19.31 . . . units

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