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ira [324]
3 years ago
5

Emma has 18 yellow flowers and 30 white flowers. She wants to split them into vases in equal groups. What is the largest number

of groups she make?
Mathematics
1 answer:
likoan [24]3 years ago
4 0

Answer:

Flowers, yellow flowers, white flowers, group, GCF

For this case we have 18 yellow flowers and 30 white flowers, we must find a number that represents the largest number of groups of flowers that can be formed, bearing in mind that each group must contain the same number of yellow and white flowers. To do this, we must find the GCF (Greatest Common Factor) of yellow flowers and white flowers.

We look for the factors of 18, that is, the numbers for which 18 is divisible, these are:

18, 9, 6, 3, 2 and 1

We look for the factors of 30, that is, the numbers for which 30 is divisible, these are:

30, 15, 10, 6, 5, 3, 2, 1

Thus, we can see that GCF of both numbers is 6.

Then we can form 6 groups of flowers. To know the amount of flowers of each color in each group, we divide:

Thus, 6 groups of flowers can be formed with 3 yellow flowers and 5 white flowers each.

Answer:

The largest number of groups that can be done is 6.

Read more on Brainly.com - brainly.com/question/950582#readmore

Step-by-step explanation:

You might be interested in
You have 14 coins that are nickles and quarters that equals 2 dollars how do you solve using substitution?
sergejj [24]

Answer:

The question is incorrect but if half nickels and quarters exist then you could say the answer is 7.5 nickels and 6.5 quarters.

The problem:

14 coins that are either nickels are quarters

The total dollar amount of these coins is 2 dollars

Step-by-step explanation:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

I'm going to choose to solve the system by elimination.

Multiplying the first equation by .25 gives:

.25n+.25q=.25(14)

.25n+.25q=3.5

So let's line the equations up now:

.25n+.25q=3.5

.05n+.25q=2

---------------------If we subtract the equations, the variable q will be eliminated.                Thus, we will able to solve for the variable n.

.20n+0q=1.5

.20n=1.5

Dividing both sides by .2 gives:

n=7.5

If n=7.5 and n+q=14, then we have 7.5+q=14 by substitution property.

We can subtract 7.5 on both sides giving us:

q=14-7.5=6.5

We cannot have 7.5 nickels and 6.5 quarters but this satisfies the given information.

Check:

7.5+6.5=(7+6)+(.5+.5)=13+1=14

7.5(.05)+6.5(.25)=2

Now, the requested way which is by substitution:

Let n be the number of nickels.

Let q be the number of quarters.

We are given that n+q=14 and that .05n+.25q=2.

We can solve the first equation for either n or q and then substitute that into the other equation allowing us to solve for the other variable.

Let's solve for q by subtraction n on both sides:

q=14-n

We are going to replace q in the second equation with (14-n) giving us:

.05n+.25(14-n)=2

Distribute:

.05n+3.5-.25n=2

Combine like terms:

-0.2n+3.5=2

Subtract 3.5 on both sides:

-0.2n=-1.5

Divide both sides by -0.2:

n=7.5

Since q=14-n and n=7.5, then q=14-7.5=6.5 .

We are already check the solution above.

8 0
2 years ago
Write the sentence as an inequality.<br> 5 is no greater than 4 times a number minus 2.5.
garri49 [273]

Answer:

<em>5 ≤ 4x - 2.5</em>

Step-by-step explanation:

<u>Inequalities</u>

The expression "no greater than" can be better expressed as "less or equal than".

The expression 4 times a number, being x the unknown number can be written: 4x

Thus, the equivalent inequality of the sentence is:

5 ≤ 4x - 2.5

8 0
3 years ago
12 is 24% of what number
alexgriva [62]
The answer is 200
explanation:
6 0
3 years ago
What goes in the blank boxes
noname [10]

Answer:

Everything

Step-by-step explanation:

We can keep every things in the blank boxes.

7 0
3 years ago
A=160, b=110, C=54. What is the distance between AB?
Schach [20]

Answer:

50

Step-by-step explanation:

answer is 50

3 0
3 years ago
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