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USPshnik [31]
3 years ago
8

At a garden shop, a customer buys 5 geraniums and 4 lilies for $48. Another customer pays $58 for 4 geraniums and 6 lilies. Writ

e and solve system of equations to find the cost of one geranium and one lily
Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5 g + 4 l = 48

4 g + 6 l = 58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:

20 g + 16 l = 192

20 g + 30 l = 290

Subtract the first equation from the second gives:

14 l = 98  which dividing by 14 gives  l = 7

Substituting the value  l = 7  in the first equation gives:

5 g + 28 = 48

Subtract 20 from both sides gives:

5 g = 20  divide by 5 gives  g = 4

So, a lily costs $7 and a geranium costs $4.

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How many triangles can be constructed with angles measuring 25 degree, 25, degree and 130
timofeeve [1]
<span>Answer: Option (C) More than one

Explanation:
All triangles must satisfy the following condition:

"The sum of all the angles of a triangle should be 180°."

25° + 25° + 130° = 180° (The condition of a triangle is satisfied.)

HOWEVER, keeping angles the same as above, we can construct "More than one" triangles by varying the lengths of a triangle.

For example:
By keep the three angles of a triangle 25°, 25° and 130°, the triangle with the three sides of lengths 10, 10, 18.13 (respectively) is same as the triangle with the three sides of lengths 1, 1, 1.81 (respectively). Likewise, you can construct infinite number of triangles. Therefore, the correct option is "(C) More than one."</span>
8 0
4 years ago
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Ann made a 33-step staircase using 1818 toothpicks as shown in the figure. How many toothpicks does she need to add to complete
malfutka [58]
You would take 1818÷33=55.09

55.09 is how many toothpicks it took for each step made

Then you would take 55.09×55=3029.95

You can make sure this is correct by taking 55.09×33=1817.97 which would actually be 1818 because you had to round it up 
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3 years ago
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Which system of inequalities is shown?
Ilia_Sergeevich [38]

Answer:

I'm 90 percent sure the answer is A.

Step-by-step explanation:

5 0
3 years ago
What is the Value of x+y ? PLZ Help ASAP
Natalija [7]
ANSWER

x + y = 60

EXPLANATION

Method 1

Vertically opposite angles are equal, therefore

3x + 55 = 85

This implies that,

3x = 85 - 55

We simplify to get,

3x = 30

Dividing through by 3 gives,

x = 10

Also,

2y - 5 = 95

This implies that,

2x = 95 + 5

We simplify the right hand side to get,

2x = 100

We divide both sides both sides by 2 to get,

x = 50

x + y = 50 + 10

x + y = 60


Method 2

Angles on straight line sums to 180°.



2y-5+85=180


This implies that,

2y+80=180


2y=180-80


2y=100


y=50



Also,


3x+55+95=180


3x+150=180


3x=180-150


3x=30


x=10


x+y=50+10


x+y=60
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3 years ago
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alina1380 [7]

D) 81°

explanation:

90°-9° =81°

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