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2 years ago

Write a system of equations to describe the situation below, solve using any method, and fill

Mathematics

1 answer:

labwork [276]2 years ago

8 0

Answer:

23 seconds later Erin will catch up

Erin will run 115 meters

Step-by-step explanation:

23+4x=5x

x=23

23 seconds later Erin will catch up

Erin will run 115 meters

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Question Help A television programmer is arranging the order that five movies will be seen between the hours of 6 P.M. and 4 A.M

Mamont248 [21]

<span>During the indicated time block of 6 PM-4 AM, the movies should go as follows: Since the G rating movies needs to be shown during the first time block, it would be first at 6 pm until around 8 pm. The NC-17 movie would also need to be LAST and from 2 am to 4 am. That leaves 3 movies left to be shown from around 8 pm to 2 Am, which could be shown in 6 different ways. If we assigned EACH movie a title of A, B or C, you get these different showing possibilities- ABC, ACB, BAC, BCA, CAB, and CBA. Since the first and last movies never change, they would default to the first and last positions while the rest is filled in.</span>

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3 years ago

Please answer fast<br><br> In typing

kobusy [5.1K]

Y= 105
X+Z= 360 - (105*2)= 150
X= 150/2 = 75
Z= 150/2 = 75

8 0

3 years ago

14.95 divided by 65 show your estimation and check

Serhud [2]

The answer is 0.23 or 23/100

7 0

3 years ago

The mens taxable is income is rs 14280 the state tex instruction tel him to pay 2%on the first rs3000 of his taxable incom 3% on

Naddik [55]

Answer:

Rs. 451.2

Step-by-step explanation:

It is given that a men's total taxable income is Rs. 14,280.

He is charged by the state tax for 2% on the first Rs. 3000.

i.e. $2 \% \times 3000$

$=\frac{2}{100} \times 3000$

= Rs. 60

Then he is asked to pay 3% on the second Rs. 3000

i.e. $3 \% \times 3000$

$=\frac{3}{100} \times 3000$

= Rs. 90

Similarly, he pays 3% on the third Rs. 3000

i.e. $3 \% \times 3000$

$=\frac{3}{100} \times 3000$

= Rs. 90

Lastly, he pays 4% on the remaining amount. i.e 14,280 - (3000+3000+3000) = 14,280 - 9000 = Rs. 5280

∴ $4 \% \times 5280$

$=\frac{4}{100} \times 5280$

= Rs. 211.2

Thus the total amount of the income tax the man has to pay is

= 60+90+90+211.2

= Rs. 451.2

6 0

3 years ago

Maria and Javier are taking a trip to a crafts store to buy supplies for an arts project. Maria buy 11 packs of ribbon and 16 ne

Umnica [9.8K]

Answer:

ribbon: $0.45
markers: $0.08

Step-by-step explanation:

Each purchase will be the sum of products of item price and number of items. The two purchases give rise to two equations.

<h3>equations</h3>

The variables are defined in the problem statement. The two purchases are ...

11r +16m = 6.23

13r +7m = 6.41

<h3>solution</h3>

A calculator offers a simple way to find the solutions to these equations. The attachments show the solution to be ...

r = 0.48
m = 0.08

The cost of ribbon is $0.45; the cost of a marker is $0.08.

The "cross-multiplication" method of solving these equations seems particularly useful when the coefficients are mutually prime. It starts with a rewrite to general form:

11r +16m -6.23 = 0
13r +7m -6.41 = 0

Then we define three "cross products":

Δ1 = (11)(7) -(13)(16) = -131

Δ2 = (16)(-6.41) -(7)(-623) = -58.95

Δ3 = (-6.23)(13) -(-6.41)(11) = -10.48

The solutions are ...

r = Δ2/Δ1 = -58.95/-131 = 0.45

m = Δ3/Δ1 = -10.48/-131 = 0.08

The cost of ribbon is $0.45; the cost of a marker is $0.08.

_____

For more about the cross-multiplication method you can read ...

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5 0

2 years ago