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777dan777 [17]
3 years ago
9

LaToya had a large collection of basketball cards. She decided to give half of them to her friends, Aaron, and a fourth of them

to her brother. She still has 75 cards left. How many cards did she start out with?
Mathematics
1 answer:
Savatey [412]3 years ago
5 0
1-1/2-1/4=1/4  If 75 is 1/4, then just divide to get the whole thing.  75/1/4=200
She had two hundred cards to start with.  Hope this helps!!!
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A) find a cartesian equation for the curve described by the given polar equation. r =3 sin g
Radda [10]
Recall that r^2 = x^2 + y^2, so that r = sqrt(x^2+y^2).

                                                                        y
r = 3 sin g becomes    sqrt(x^2+y^2) = 3*-----------------------
                                                                  sqrt(x^2+y^2)

Squaring both sides,

                    9y^2
x^2+y^2 = -----------------
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If this is correct (and I'm not convinced that it is), then (x^2+y^2)^2 = 9y^2
shows the relationship between x and y.  Can anyone improve on this result?

6 0
3 years ago
The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th
weqwewe [10]

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

8 0
3 years ago
Find m/AEB<br><br> A.<br> 10<br> B.<br> 70<br> C.<br> 110<br> D.<br> 170
Paul [167]
A is most likely the answer.

Hope this Helped!

;D
5 0
3 years ago
Read 2 more answers
7x-4y=20 for y when x=3
viktelen [127]
I think it is y=-.25
7*3 - 4y = 20
21 - 4y = 20
subtract 21 from each side
- 4y = - 1
divide each side by - 4
y= -.25
6 0
3 years ago
Read 2 more answers
Consider this system of equations.  x + 2y = 5,  –x + 3y = 6 The x- and y-intercepts of the first equation are found below. x-in
vichka [17]

Answer:

Part 1) The x-intercept is the point (-6,0)

Part 2) The y-intercept is the point (0,2)

Step-by-step explanation:

we know that

The x-intercept is the value of x when the value of y is equal to zero

The y-intercept is the value of y when the value of x is equal to zero

we have

-x+3y=6

Part 1) Find the x-intercept

For y=0

substitute the value of y in the linear equation and solve for x

-x+3(0)=6

-x=6

x=-6

The x-intercept is the point (-6,0)

Part 2) Find the y-intercept

For x=0

substitute the value of x in the linear equation and solve for y

-(0)+3y=6

3y=6

y=2

The y-intercept is the point (0,2)

7 0
3 years ago
Read 2 more answers
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