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Alex Ar [27]
3 years ago
7

Rose picked 18 tulips and 20 daffodils. She divided the flowers into groups so that the same number of tulips and daffodils were

in each bouquet. What is the greatest number of bouquets she could have made?
Mathematics
2 answers:
wlad13 [49]3 years ago
7 0

Answer:

That depends on how many flowers we keep in each bouquet.

If 1 tulip & 1 daffodil is kept in a bouquet , then the greatest no. of bouquets she'll make = 18

If 2 tulips & 2 daffodils is kept in a bouquet , then the greatest no. of bouquets she'll make = 9

If 3 tulips & 3 daffodils is kept in a bouquet , then the greatest no. of bouquets she'll make = 6

If 6 tulips & 6 daffodils is kept in a bouquet , then the greatest no. of bouquets she'll make = 3

If 18 tulips & 18 daffodils is kept in a bouquet , then the greatest no. of bouquets she'll make = 2

but somehow 2 daffodils will be left .

Naddika [18.5K]3 years ago
5 0

Answer:

The greatest number of bouquets Rose could have is 2. 9 of each flower in each bouquet.

Step-by-step explanation:

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The regular pentagon shown has an apothem with a length of 2 centimeters. To the nearest tenth, what is the area of the regular
Rom4ik [11]

Answer:

11.8cm²

Step-by-step explanation:

The area of the regular pentagon is expressed as;

A = pa/2

p is the perimeter of the pentagon

a is the apothem

Since p = 5s

s is the side length, hence;

A = 5sa/2

Get the side length s;

central angle = 360/5

central angle = 72degrees

angle in the right angle triangle =72/2 = 36degrees

Using SOH CAH TOA

sin 36 = x/2

x = 2sin36

x = 1.1755

s = 2x

s = 2.35cm

Get the area

A = 5(2.35)(2)/2

A = 5(2.35)

A = 11.8cm²

Hence the area of the regular pentagon is 11.8cm²

8 0
3 years ago
Read 2 more answers
Jina walks 2.5 km every day. How far does she walk in 7 days?<br> Write your answer in meters.
sweet [91]

Answer: 17500 meters

Step-by-step explanation: 7 times 2.5 is 17.5 and one meter is 0.001 kilometers so

17.5 in meters is 17500.

8 0
3 years ago
Find the value of x and the value of y. 60 30 6
allochka39001 [22]

Answer:

  • The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

  • The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

  • The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

\large{ \tt{❃ \: TAKING  \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE :  }}

  • Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

\large{ \tt{❁ \: sin \:  60 \degree =  \frac{perpendicular}{hypotenuse} }}

\large{ \tt{➝ \:  \frac{ \sqrt{3} }{2} =  \frac{6}{y}  }}

\large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}

\large{ \tt{➝ \:  \sqrt{3} \: y = 12 }}

\large{ \tt{➝ \: y=  \frac{12}{ \sqrt{ 3} } }}

\boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}

\large{ \tt{❇ \: TAKING  \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} :

  • Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

\large{ \tt{❊ \: sin  \: 30 \degree =  \frac{perpendicular}{hypotenuse} }}

\large{ \tt{⟶ \:  \frac{1}{2} =  \frac{x}{4 \sqrt{3} }  }}

\large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}

\large{ \tt{⟶ \: x =  \frac{4 \sqrt{3} }{2} }}

\boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}

\boxed{  \large{ \tt{❈ \:  OUR \: FINAL \: ANSWER :  \boxed{ \tt \: x = 2 \sqrt{3}   \: \: y = 4 \sqrt{3} }✓}}}

  • And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3 0
3 years ago
2x+y+2z=7, 2x-y+2z=1, 5x+y+5z=13
vodomira [7]

Answer:

y = 3

x = 2 - z

Step-by-step explanation:

We have the system:

2*x+y+2*z=7

2*x-y+2*z=1

5*x+y+5*z=13

In the first and second equations we have the term (2*x + 2*z) = A

Then we can rewrite the first two equations as:

A + y = 7

A - y = 1

isolating A in the first equation, we get:

A = 1 + y

Now we replace this in the other equation:

(1 + y) + y = 7

1 + 2*y = 7

2*y = 6

y = 3.

then:

A + y = 7

A + 3 = 7

A = 7- 3 = 4

A = 2*x + 2*z  = 4.

Now let's go to the third equation:

(5*x + 5*z) + y = 13

we can rewrite the thing inside the parentheses as:

(5/2)*(2*x + 2*y) + y = 13

And we know that:

2*x + 2*z = 4

y = 3

then this can be written as:

(5/2)*(4) + 3 = 5*2 + 3 = 13

Then we can conclude that:

y = 3

2*z + 2*x = 4

2*(z + x) = 4

(z + x) = 4/2 = 2

x = 2 - z

Notice that the solution is not only a point, we have infinite solutions for this problem.

3 0
3 years ago
two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7.
steposvetlana [31]
2x+3y=4
x=2-3/2y

3x+4y=7

3(2-3/2y)+4y=7
6-9/2y+4y=7
-1/2y=1
y=-2

3x+4(-2)=7
3x=15
x=5

So the two numbers are 5 and -2

7 0
3 years ago
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