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lys-0071 [83]
3 years ago
11

Carla's team won 3 of its 5 games. Elena's team won games at the same rate and won 12 games. How many games did Elena's team pla

y?
Mathematics
2 answers:
Maurinko [17]3 years ago
4 0
This is all about proportions. You can make this into fractions:

3/5 = 12/x

A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)

So then you have this:

12/20 = 12/x

It's basically a fill in the blank from there. x= 20

Elena's team played 20 games
Andru [333]3 years ago
3 0
We have: 3/5 = 12/?

Cross multiply:
3*?= 5*12
⇒ ?= 5*12/3= 20

Elena's team played 20 games~
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Consider the quadratic function:
sdas [7]

Answer:

Step-by-step explanation:

I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:

h=\frac{-b}{2a}  and

k=c-\frac{b^2}{4a}

(Just a fun fact:  Those expressions come from the quadratic formula that help us to factor a quadratic equation.)

Filling in for h:

h=\frac{-(-8)}{2(1)}  simplifies to

h = \frac{8}{2}=4

Filling in for k:

k=-9-\frac{(-8)^2}{4(1)}  which simplifies a bit to

k=-9-\frac{64}{4}  which simplifies a bit more to

k=-9-16=-25

The vertex, then, is (4, -25).

You would also find this if you completed the square.  But again, I'm not sure how you're solving for the vertex in class.

8 0
3 years ago
A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
Wittaler [7]

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

  • Radius, r = 3
  • Height, h = 7
  • Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

V = \frac 13\pi r^2h

This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

7 0
2 years ago
Use square roots to solve the equation x2 = −25 over the complex numbers. Select all the solutions.
Nezavi [6.7K]

Answer:

E and A

Step-by-step explanation:

7 0
3 years ago
6x-14&lt;-14 or 3x+10&gt;13
kow [346]

Step-by-step explanation:

not sure the question but I can solve the equations

6x-14<-14

6x<0

×<0

3x+10>13

3x>3

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2 years ago
Jerry and Jeannie (married) have 6 children (three are married) and 8 grandchildren. Four of the grandchildren are in college. T
Alex73 [517]

Answer:

Sorry no understand bro

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3 years ago
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