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IRISSAK [1]
3 years ago
15

Sara wants to buy a tennis racket for $120. She has $40 and is saving $10 every week. The owner of the store decreases the racke

ts price by $5 each week he doesnt sell it. How many weeks until Sara has enough money to buy the racket?
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

After the sixth week, she would have more than enough money to buy the racket.

Step-by-step explanation:

First Week

Sarah = 40 + 10 = 50

Owner = 120 - 5 = 115

Second Week

Sarah = 50 + 10 = 60

Owner = 115 - 5 = 110

Third Week

Sarah = 60 + 10 = 70

Owner = 110 - 5 = 105

Fourth Week

Sarah = 70 + 10 = 80

Owner = 105- 5 = 100

Fifth Week

Sarah = 80 + 10 = 90

Owner = 100 - 5 = 95

Sixth Week

Sarah = 90 + 10 = 100

Owner = 95 - 5 = 90

After the sixth week, she would have more than enough money to buy the racket.

How many weeks until Sara has enough money to buy the racket?

40 + 10x = 120 - 5x

10x + 5x = 120 - 40

15x = 80

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Answer:

a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\

Step-by-step explanation:

y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\

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4 years ago
Solve the following 5t - 3 = 3t + 5
Pavel [41]

Answer:

t=4

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2t-3=5 - add 3 to both sides

2t=8 - divide by 2

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3 0
2 years ago
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the functuon y=30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. does this situat
Sveta_85 [38]

We want to see if the given function represents a linear function.

We will see that yes, it does.

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And a general linear function is written as:

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where a is the slope and b is the y-intercept.

Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.

A graph of our function also can be seen below, where it is evident that it is a line.

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8 0
3 years ago
The ratio between the radius of the base and the height of the cylinder is 2:3.if its volume is 1617cm^3,the total surface area
zalisa [80]
The answer is 769.3 cm²

The volume of the cylinder is : V = π r² h
<span>The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r

V = 1617 cm
</span>π = 3.14

1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
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r = ∛343 = 7 cm

h = 3/2r = 3/2 * 7 = 10.5 cm


The surface area of the cylinder is:
SA = 2πr² + 2πrh
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3 years ago
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