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Oxana [17]
2 years ago
5

Yellow line leaves station every 6 min and red line leaves every 8 min and they both leave at 4:15, when will they both leave at

the same time next 3 times?
Mathematics
1 answer:
zheka24 [161]2 years ago
8 0

Answer: 4:39, 5:03

Step-by-step explanation:

Given

The yellow line leaves the station every 6 min

The red line leaves the station every 8 min

They both leave at 4:15

Both trains meet again after, LCM(6,8)=24 min

i.e. at

4:15+24=4:39\\4:39+24=5:03

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What is your sister’s total cost under each of the two plans?2. Suppose your sister doubles her monthly usage to 3,500 minutes a
chubhunter [2.5K]

Answer:

(1) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$515</u>.

(2) The total cost under Plan A is <u>$92</u> and the total cost under Plan B is <u>$1,030</u>.

Step-by-step explanation:

<u><em>The question is incomplete, so the complete question is below:</em></u>

A\ cell \ phone \ company\  offers\  two \ different \ plans.

Plan\ A\ costs\ \$92\ per\ month\ for\ unlimited\ talk\ and\ text.\ Plan\ B\ costs \ $0.20\ per\ minute\ plus\ \$0.10\ per\ text\ message\ sent.You\  need \  to\   purchase \  a \  plan \  for\   your \  14-year-old \  sister.Your\  sister\  currently \ uses\  1,750 \ minutes\  and \ sends\  1,650 \ texts\  each \ month.(1) What\  is\   your \  sister's\   total\   cost\   under \  each\   of\   the\   two\   plans?

(2) Suppose\  your\  sister\  doubles\  her\  monthly\  usage \ to\  3,500\  minutes \ and\  sends\  3,300 \ texts.What \ is \  your  \ sister's \  total \  cost \  under \  each \  of  \ the \  two \  plans?

Now, to find (1) total cost for each of the two plans. (2) Total cost under each of the two plans, if sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.

<h3>(1) </h3>

As, the Plan A is for unlimited talk and text

Cost of the Plan A = $92.

<u><em>Now, to find the cost under Plan B:</em></u>

According to question:

Rate of call per minute is $0.20 and per text is $0.10.

Calls she uses currently is 1,750 minutes and text 1,650.

<u><em>So, to get the cost of Plan B:</em></u>

0.20\times 1750+0.10\times 1650

=350+165

=515.

Thus, Plan B costs $515.

<h3>(2)</h3>

<u><em>Now, to get the total cost as, sister doubles her monthly usage to 3,500 minutes and sends 3,300 texts.</em></u>

As, the Plan A is same in both cases and is for unlimited text and calls.

So, cost of Plan A = $92.

As, the monthly usage is double.

Calls in minutes are 3,500.

Texts are 3,300.

<u><em>Now, to get the total cost under Plan B:</em></u>

0.20\times 3500+0.10\times 3300

=700+330

=1030.

Hence, the cost of Plan B = $1,030.

Therefore, (1) The total cost under Plan A is $92 and the total cost under Plan B is $515.

(2) The total cost under Plan A is $92 and the total cost under Plan B is $1,030.

7 0
3 years ago
Express sin(3theta) in terms of sin (theta)
BigorU [14]
3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅<span>)
Opening brackets on the right hand side;
 = sin2</span>∅ cos ∅ + cos2∅sin<span>∅
</span><span>This simplifies to;
 = 2sin</span>∅cos^2∅ + sin∅ (1- 2sin^2∅<span>)
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7 0
3 years ago
Read 2 more answers
Mila Hawkins purchased a bookshelf for $210.00.
Alenkinab [10]

Answer:

$12.60

Step-by-step explanation:

6% of 210 is .06 x 210 which equals 12.60

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2 years ago
Someone please help me with this question, I don’t know what to do.
Lelu [443]

Answer:

22.5

Step-by-step explanation:

What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.

If you want to calculate it yourself stop reading here, because I will work it out now.

Volume box = a*b*c

Volume prism = 15

Volume pyramid = (b * c * a)/3

The prism has the volume of the box minus the pyramid so

abc - (abc)/3 = 15

abc - (1/3)abc = 15

(2/3)abc = 15

abc = 22.5

So 22.5 is the volume of the figure

8 0
3 years ago
if A= (-1, -3) and B= (11, -8) what is the length of AB A) 14 units B) 11 units C) 13 units D) 12 units
Anastasy [175]
Distance is the formula : 

DAB = \sqrt{(xA - xB)^2  + (yA - yB)^2}
 
so 

\sqrt{(-1 - 11)^2 + (-3 + 8)^2}

= 13 

Answer is C)


5 0
3 years ago
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