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arlik [135]
2 years ago
13

A bouquet of lilies and tulips has 12 flowers. lilies cost $3 each and tulips cost $2 each the bouquet cost $32. write and solve

a system of linear equations to find the number of lilies and tulips in the bouquet.
Mathematics
1 answer:
Ann [662]2 years ago
8 0

Answer:

Let x represents the number of lilies and y represents the number of tulips in the bouquet.

As per the statement:

A bouquet of lilies and tulips has 12 flowers.

⇒x+y = 12                         .....[1]

It is also given that lilies cost $3 each and tulips cost $2 each the bouquet cost $32.

⇒3x+2y = 32             .....[2]

Multiply equation [1] by 3 we get;

3x+ 3y = 36                    .....[3]

Subtract equation [2] from [3] we get;

3x+3y-(3x+2y)=36-32

3x+3y-3x-2y=36-32

Combine like terms;

y=4

Substitute the value of y in [1] we get;

x + 4 = 12

Subtract 4 from both sides we get;

x = 8

Therefore, the number of lilies are 8 and the number of tulips are 4

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3 0
2 years ago
PLEASE HELP IF CORRECT I WILL GIVE BRAINLIEST AND 5 STARS!
kotykmax [81]
1416 is the answer hope this helps and please give me brainliest
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3 years ago
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jeka94

Answer:  -p^2-(q+r)^2

Work Shown:

I'm assuming your teacher wants you to factor as much as possible.

-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\

In the last step, I used the rule that (a+b)^2 = a^2+2ab+b^2

We cannot factor any further. If the first term was p^2 instead of -p^2, then we could use the difference of squares factoring rule.

5 0
2 years ago
Help!!!!!!! v is a vector of magnitude 4 making an angle of 30° with the positive x-axis. find v in component form .
Elodia [21]

Since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

To find vector v in component form, we need to know what a vector is

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>Component of a vector</h3>

A vector can be resolved into perpendicular components along the x, y and z axis.

<h3>Components of vector v</h3>

Since vector v has a magnitude of 4 making an angle of 30 with the positive x - axis, its x-component is V = (vcos30°)i

= (4cos30°)i

= (4 × √3/2)i

= 2√3i.

The y-component of v is V' = (vsin30°)j

= (4 × sin30°)j

= (4 × 1/2)j

= 2j

<h3>Vector v in component form</h3>

So, vector v in component form is v = V + V'

= 2√3i + 2j

So, since v is a vector of magnitude 4 and makes angle 30° with the positive x axis, vector v in component form is v = 2√3i + 2j

Learn more about vectors here:

brainly.com/question/25705666

5 0
2 years ago
A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room. 
Oxana [17]
Sorry im wrong but the answer should be 280
4 0
2 years ago
Read 2 more answers
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