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klemol [59]
3 years ago
15

Martina is building a fence around her garden. For every 4 feet of fencing, the cost is $32.

Mathematics
2 answers:
Vlad [161]3 years ago
5 0

Answer:

Length of fencing: 4, 6, 7, 9, 10

Cost : 32 , 42, 63, 72, 90

Step-by-step explanation:

im not sure if the cost is correct but someone else might have the cost right

Dominik [7]3 years ago
4 0

Answer:

For every foot of fencing, it costs $8. This should help us easily solve the question.

1st missing number: 48

2nd missing number: 56

3rd missing number: 9

4th missing number: 80

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Two cylindrical containers, C and D, with different capacities are shown below. What is the total volume of liquid held in these
Zielflug [23.3K]

Answer:

Option D. (x + 4)(x + 1)

Step-by-step explanation:

From the question given above, the following data were obtained:

C = (6x + 2) L

D = (3x² + 6x + 9) L

Also, we were told that half of container C is full and one third of container D is full. Thus the volume of liquid in each container can be obtained as follow:

Volume in C = ½C

Volume in C = ½(6x + 2)

Volume in C = (3x + 1) L

Volume in D = ⅓D

Volume in D = ⅓(3x² + 6x + 9)

Volume in D = (x² + 2x + 3) L

Finally, we shall determine the total volume of liquid in the two containers. This can be obtained as follow:

Volume in C = (3x + 1) L

Volume in D = (x² + 2x + 3) L

Total volume =?

Total volume = Volume in C + Volume in D

Total volume = (3x + 1) + (x² + 2x + 3)

= 3x + 1 + x² + 2x + 3

= x² + 5x + 4

Factorise

x² + 5x + 4

x² + x + 4x + 4

x(x + 1) + 4(x + 1)

(x + 4)(x + 1)

Thus, the total volume of liquid in the two containers is (x + 4)(x + 1) L.

6 0
3 years ago
Jessica furniture store is trying to figure out if she bought a couch at wholesale price for $113 and she mark up by 45%. what p
allochka39001 [22]

original price = $113

MArkup = 45% = 45/100 = 0.45 ( decimal form)

Sell price = 113 (1 + 0.45) = 113 * 1.45 = $163.85

3 0
2 years ago
lauren wants to keep her cell phone bull under $60 per month. Her current cell phone plan is $30 per month plus $0.50 per text.
stellarik [79]

Answer:

The correct answer is t < 60.

Step-by-step explanation:

Lauren wants to keep her cell phone bill below $60 per month.

Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.

Let Lauren sends t texts in a complete month.

Total money spent on texts in a month is given by $ (0.50 × t)

Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).

But this amount should be under $60 as per as the given problem.

∴ 30 + (0.50 × t) < 60

⇒ (0.50 × t) < 30

⇒ t < \frac{30}{0.50}

⇒ t < 60.

So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.

8 0
3 years ago
The perimeter of an equilateral triangle is 11 inches more than the perimeter of a square, and the side of the triangle is 6 inc
uysha [10]

Answer:

13 inches

Step-by-step explanation:

Let P(t) and P(s) be the perimeters of the equilateral triangle and square respectively. Similarly, t and s be the side lengths of equilateral triangle and square respectively.

According to the first condition :

(Perimeter of an equilateral triangle is 11 inches more than the perimeter of a square)

\implies P(t) = P(s) + 11

\implies 3t = 4s + 11....(1)

According to the second condition :

(The side of the triangle is 6 inches longer than the side of the square)

\implies t = s + 6....(2)

From equations (1) & (2)

3(s + 6) = 4s + 11

3s + 18 = 4s + 11

3s - 4s = 11 - 18

-s = - 7

s = 7 inches

\because t = s + 6

\because t = 7 + 6

\because t = 13\: inches

Thus the side of the triangle is 13 inches long.

7 0
3 years ago
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the Quadrilateral. Show your work. ( Plea
oksano4ka [1.4K]

Answer:

  • Shown Below.

Explanation:

opposite angles in a quadrilateral sum up to 180°

total interior angles in a quadrilateral is 360°

solve for x:

x - 2 + x + 2 = 180°

2x = 180°

x = 90°

solve for each angle:

1st

x + 2

90° + 2 = 92°

2nd

x - 2

90° - 2 = 88°

3rd

x - 10

90° - 10° = 80°

4th

360° - 80° - 88° - 92° = 100°

7 0
3 years ago
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