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Viefleur [7K]
2 years ago
6

Jorge has saved $15.50. Janet saved 1/5 of the amount that Jorge saved. Rob saved 12 times as much of Janet. What is the total s

aved amount of all three. (please show the answer and how you got it please)
Mathematics
1 answer:
KiRa [710]2 years ago
8 0

Answer:

$55.80

Step-by-step explanation:

First, find how much Janet saved by finding 1/5 of 15.50:

15.50/5

= 3.1

Find how much Rob saved by multiplying 3.1 by 12:

3.1(12)

= 37.2

Then, find the total saved amount by adding them all together:

15.50 + 3.1 + 37.2

= 55.8

So, they saved $55.80 in total

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You want to save $500 for a school trip. You begin by saving a penny on the first day. You save an additional penny each day aft
irga5000 [103]

Answer:

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

a = 1 penny = 1/100 = $0.01

d = 0.01

a) For 100 days, the sum of the first 100 terms, S100 would be

S100 = 100/2[2 × 0.01 + (100 - 1)0.01]

S100 = 50[0.02 + 0.99)

S100 = 50 × 1.01 = $50.5

b) when Sn = $500, then

500 = n/2[2 × 0.01 + (n - 1)0.01]

Multiplying through by 2, it becomes

500 × 2 = n[2 × 0.01 + (n - 1)0.01]

1000 = n[0.02 + 0.01n - 0.01]

1000 = n[0.01 + 0.01n]

1000 = 0.01n + 0.01n²

0.01n² + 0.01n - 1000 = 0

Applying the general formula for quadratic equations,

x = [-b±√(b² - 4ac)]/2a

n = - 0.01±√0.01²-4(0.01 × - 1000)]/2 × 0.01

n = (- 0.01 ± √40.001)/0.02

n = (- 0.01 + 6.32)/0.02 or

n = (- 0.01 - 6.32)/0.02

n = 315.5 or n = - 316.5

Since n cannot be negative, then n = 315.5

It will take approximately 316 days to save $500

6 0
3 years ago
Simplify:<br>2√3/16 - √75/16 + 2√27/16<br>a. 3/4√3<br>b. 1/2√3<br>c.5/4√3<br>d.0​
erastova [34]

Answer:

a.

Step-by-step explanation:

2√3/16 - √75/16 + 2√27/16

2/4√3 - 5/4√3 + 6/4√3

3/4√3

5 0
2 years ago
A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the poi
liubo4ka [24]

Answer:

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

<u>To find the area of equilateral triangle</u>

Here side be 'a'

Area of equilateral = √3a²/4

<u>To find the area of circle</u>

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

<u>To find the probability</u>

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%

 

8 0
2 years ago
4x+x+6=11x-6x+6 what is the value for x
sveticcg [70]

Answer:

use papamath it will give u the anwers

Step-by-step explanation:

7 0
3 years ago
What is the gcf of 96 and 40
Naddika [18.5K]

Answer:

8

Step-by-step explanation:

40 factors: 1 2 4 5 8 10 20

96 factors  1 2 3 4 6 8 12 16 24 32 48

5 0
2 years ago
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