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Anna007 [38]
3 years ago
9

Use the diagram to answer the questions.

Mathematics
1 answer:
Katarina [22]3 years ago
4 0
No, the slopes are not equal
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Each flower has a specific price. One tulip, one daisy, and 2 mums cost $4.20. On tulip, two daisies and one mum cost $3.80. Two
sineoko [7]

Answer:

The answer to your question is $5.60

Step-by-step explanation:

    1 tulip + 1 daisy + 2 mums = $4.20           (1)

    1 tulip + 2 daisies + 1 mum = $ 3.80         (2)

    2 tulips + 2 mums = $4.80                        (3)

    1 tulip + 3 daisies + 2 mums = ?

tulip = t      daisy = d      mum = m

Process

1.- Find the price of each flower using system of equations

    Solve equation 3 for tulip

     2t = 4.80 - 2 m     divide by 2                            (4)

     t = 2.40 - 1m

2.- Substitute equation 4 in equation 1 and 2

    (2.4 - 1m) + 1 d + 2 m = 4.2

    (2.4 - 1m) + 2d + 1 m = 3.8

3.- Simplify and solve for each flower

     2.4 - 1m + 1d + 2m = 4.2

      1d + 1m = 4.2 - 2.4

      1d + 1m = 1.8                   Equation (5)

     2.4 - 1m + 2d + 1m = 3.8

     2d = 3.8 - 2.4

     2d = 1.4

     d = 1.4/2

     1d = 0.7

4.-  Substitue d in equation 5

     1(0.7) + 1m = 1.8

     0.7 + 1m = 1.8

     1m = 1.8 - 0.7

      1m = 1.1

5.- Subtitute m in equation 4

     1t = 2.40 - 1(1.1)

     1t = 2.40 - 1.1

      1t = 1.3

6.- Result

     1 tulip + 3 daisies + 2 mums cost = 1.3 + 3(0.7) + 2(1.1)

                                                            = 1.3 + 2.1 + 2.2

                                                            = $5.6

8 0
3 years ago
Find the equation of the circle with center at the origin that contains the point (-8,6)
Katena32 [7]
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10

The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2

Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore

(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
3 0
3 years ago
I’ll give brainliest!!!
n200080 [17]

Answer:

A) arithmetic sequence

g(n) = 20 + 3n

Step-by-step explanation:

Each minute, the number of pages increases by 3, which means the common difference is 3 (because it is being added, not multiplied).

If there is a common difference, it's an arithmetic sequence. (Geometric sequences have common ratios.)

If she starts at 20 pages, then you just need to multiply 3 by the number of minutes passed (n) and add it to 20 to find the page she's on.

5 0
3 years ago
Pls help me!
Marianna [84]

Answer:

500-25x ≥ 200 (inequality is ≥)

Step-by-step explanation:

500 to start

-25 per week (or x)

wants at least (≥) 200

meaning greater than or equal to 200

3 0
3 years ago
PLEASE HELP ASAP!!!! 100% CORRECT ANSWERS ONLY PLEASE!!!!
zmey [24]
Area= 2πr

So, 

If you were to multiply the radius by 2 since 2 is not in the equations, 

4*2= 8

8π ft^2 would be the correct answer.

I hope this helps!
~kaikers
5 0
3 years ago
Read 2 more answers
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