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olga_2 [115]
1 year ago
10

Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom de

posits $40.00 on his public transportation card. It costs him $2.00 per trip to ride the subway.
If x represents the number of trips and y represents the amount remaining in each account, which system of equations represents their transportation costs?
Mathematics
2 answers:
ratelena [41]1 year ago
7 0

Answer:

\left \{ {{50-2.5x = y} \atop {40-2x=y}} \right.

Novosadov [1.4K]1 year ago
6 0

Step-by-step explanation:For this case, the first thing we must do is define variables.

We have then:

x: number of trips.

y: amount of money remaining.

We now write the equation for each person.

For Kaisorn we have:

Pata Thom we have:

Answer:

The system of equations that represents this situation is given by:

Answer:

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In a gambling game, a woman is paid $3 if she draws a jack or a queen and $5 if she draws a king or an ace from an ordinary deck
cluponka [151]
There are 8 Jacks and Queens and 8 King and Aces

3*8+5*8=24+40=64 $
8 0
2 years ago
Background information: This is an excerpt from an investigative report commissioned by the United Nations.
RoseWind [281]

Answer: genocide, deliberate attacks against civilians and crimes against humanity

Step-by-step explanation:

The United States took the lead in the U.N. Security Council to pass four resolutions on Sudan in 2004. The U.S. legislatures passed a joint resolution on July 23 declaring that the Sudanese government and the Janjaweed were guilty of genocide. And a survey of Darfurian refugees in Chad and concluded that “genocide has been committed and may still be occurring in Darfur

Nevertheless, According to this passage, the government of Sudan was also guilty of deliberate attacks against civilians, and crimes against humanity

6 0
2 years ago
Read 2 more answers
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
7 0
2 years ago
Triangle ABC was dilated and translated to form similar triangle A'B'C'.
Hunter-Best [27]
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.

On this exercise is asked to find the scale factor by which the triangle ABC was 
dilated to produce the triangle A'B'C'. 
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.

As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.

Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)

Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)

As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.  

3 0
2 years ago
Read 2 more answers
A ball is thrown down from a balcony with a vertical velocity (in ft/s) given by
fenix001 [56]

Answer:

–90 < –32t – 10 < –58

Step-by-step explanation:

We want the velocity to be BETWEEN -90 and -58.

Whenever we need a quantity, let it be A, to be between two numbers, p and q (p is less than q), we can write it as:

p < A < q

Similarly, here we need the velocity, -32t-10 to be BETWEEN -90 and - 58 (with -90 being the smaller number). Thus we can write:

–90 < –32t – 10 < –58

This is the correct choice, 2nd choice.

4 0
2 years ago
Read 2 more answers
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