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Advocard [28]
4 years ago
15

Use cross products to solve the proportion: 5/m = 15/9

Mathematics
2 answers:
ANTONII [103]4 years ago
7 0

Hope this helps. please add brainlist

Mrac [35]4 years ago
6 0

M = 3

Is that what you were looking for?

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Jenny borrowed $500 for five years at 4 percent interest, compounded annually. What is the total amount she will have paid when
Sladkaya [172]
The total amount due in the future (F) for the current loan (P) with compound interest (i) is calculated through the equation,
                                        F = P x (1 + i)^n
where n is the number of years. Substitute to the equation, the values given above,
                                        F = ($500) x (1 + 0.04)^5 = $608.326
Thus, Jenny would pay approximately $608.326. 
8 0
3 years ago
Read 2 more answers
An experienced cashier at a grocery store takes 2 seconds to scan each item and 40 seconds to process the customer's payment. 1)
lina2011 [118]

The answers are 1) D. 43 items and 2) B. 58 seconds.

Step-by-step explanation:

Step 1; An experienced cashier takes a time of 2 seconds per item and another 40 seconds for processing the customer's payment. So if it took 2 minutes 6 seconds which equals ( 2× 60 ) + 6 = 126 seconds for a customer. Out of these 126 seconds, the last 40 seconds were to process the customer's payment so 126 seconds - 40 seconds = 86 seconds. So it took 86 seconds to scan the items and as it takes 2 seconds per item we divide 86 by 2 to get the number of items. So 86 / 2 = 43 items which is option D.

Step 2; Anna brought 31 items and due to some glitch, the total time took 2 minutes. So for 31 items, it took the cashier 31 × 2 = 62 seconds, 1 minute 2 seconds. So out of the 2 minutes, 1 minute 2 seconds were used to scan the items. So the remaining time was 2 minutes (120 seconds) - 1 minute 2 seconds (62 seconds) = 58 seconds which was the processing time. So option B is the answer.

5 0
3 years ago
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to
GrogVix [38]

Answer: 17.4\ \text{miles}

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading 48^{\circ} east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}

3 0
3 years ago
A drama club earns $1400 from a production it sells a total of 64 tickets adult tickets and 132 student tickets in adult ticket
Ket [755]

Answer: an adult ticket cost $8 and a student ticket cost $4

Step-by-step explanation:

Let x represent the cost of one student ticket.

Let y represent the cost of one adult ticket.

A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that

132x + 64y = 1040 - - - - - - - - - -1

An adult ticket costs twice as much as a student ticket. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

132x + 64 × 2x = 1040

132x + 128x = 1040

260x = 1040

x = 1040/260 = 4

y = 2x = 2 × 4

y = 8

5 0
3 years ago
Help please what is the sum of the series ?
aksik [14]
Comment
There are 4 terms in this series
That's because the summation (Sigma) goes from 3 to 6 inclusive. So k takes on values of  3,4,5,6

You could use this summation formula

Formula 
Sum = (a + L)n/2

Substitution 
a is the first term.
k = 3 for the first term
a = -5k + 20
a = -5(3) + 20
a = -15 + 20
a = 5

For the last term k = 6
L = -5(6) + 20
L = -30 + 20
L = - 10

Sum
Sum = (5 - 10)*4/2
Sum = -5 * 2
Sum = -10

Comment
You may wonder how come the last term and the sum are the same. The reason to be found by figuring out the 4 terms and adding them together.

When k = 3, -5k + 20 = -15 + 20 = 5
When k = 4, -5k + 20 = -20 + 20 = 0
When k = 5, -5k + 20 = -25 + 20 = -5
When k = 6, -5k + 20 = -30 + 20 = -10

Sum = 5 + 0  - 5 - 10 = - 10

Conclusion. 
It is an accident of the numbers.

Answer: - 10 = the Sum
8 0
3 years ago
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