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Studentka2010 [4]
3 years ago
11

Two brothers went shopping at a back to school sale where all shirts and shorts were the same price. The younger brother spent $

175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?
Mathematics
1 answer:
salantis [7]3 years ago
8 0

Answer:

Each shirt costs 10$ cause there is a 10 $ difference between the two brothers and the only thing the older brother didn't buy was another shirt.

Have a great day. Brainliest always helps!!!

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9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.
kherson [118]

Answer:

a) (7,8)

b) r = 10

c) (x-7)^2+(y-8)^2=100

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as (x_m,y_m)

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)

(x_m, y_m) = (7,8)

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

in our case the equation changes to: (selecting the centre and point B)

r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}

r = \sqrt{(7-17)^2+(8-8)^2}

r = 10

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all <u>since in this particular case</u> all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

  1. coordinates of the center: (x_m,y_m) = (7,8)
  2. radius of the circle: r = 10

we can put this in the formula of the circle:

(x-a)^2+(y-b)^2=r^2

in our case the equation changes to:

(x-x_m)^2+(y-y_m)^2=r^2

(x-7)^2+(y-8)^2=(10)^2

(x-7)^2+(y-8)^2=100

this is the equation of the circle!

6 0
3 years ago
My number has 8 tens the digit in the ones place is greater than the digit in ten place
Lerok [7]
98 is the answer.

The 8 is in the tens place and the number in the ones place is greater than the number in the tens place.
5 0
3 years ago
Please help me fast .
DedPeter [7]

Answer:

17sq

Step-by-step explanation:

Took the test LOL.......

Hope it helps

5 0
3 years ago
. City workers recorded the number of squirrels in a park over a period of time. At the first count, there were 15 pairs
coldgirl [10]

Answer:

Exponential

P(X) = P_0 (2)^{2x}

Step-by-step explanation:

Given that at the first count, there were 15 pairs

of male and female squirrels (30 squirrels total). After 6 months, the city workers recorded a total of 60 squirrels,

and after a year, there were 120.

i.e. every 6 months population of squirrel is doubling.

a) Function is exponential since every time of 6 months population is doubled

b) The function that represents the population of squirrels recorded over x number of years.

We know that every 1/2 year it doubles.  Hence initially if P0 is started with in 1/2 year it would be 2P0 and in 1 year it would be 4P0 and so on.

In other words, the model would be

P(X) = P_0 (2)^{2x} where x = no of years

3 0
3 years ago
Someone please help me I’ll mark brainliest
tekilochka [14]
There are no solutions.
6 0
3 years ago
Read 2 more answers
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