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3 years ago

In a bag there are 13 red marbles, 15 green marbles and 32 blue

Mathematics

2 answers:

alekssr [168]3 years ago

6 0

Answer:

3/4

Step-by-step explanation:

Total sample space(S)=60

Probability of red marbles(PR)= 13/60

Probability of green marbles(PG)=15/60

Probability of blue marbles(PB)=32/60

Solution,

Probability of not getting green marble(P-G)=1-15/60

=1-1/4

= 3/4

Vika [28.1K]3 years ago

4 0

Answer:

45:15 turned into a fraction =1/3

Step-by-step explanation:

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Help Me Find The X Please

Papessa [141]

Answer:

x = 16

y = 16 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 60 = y/ 32

Multiply each side by 32

32 sin 60 = y

32 ( sqrt(3) /2) = y

16 sqrt(2)

cos theta = adj/ hyp

cos 60 = x /32

32 cos 60 = x

32 (1/2) =x

16 =x

4 0

3 years ago

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Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

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In the equation x square + 5x - 14 =0, the solutions are?

Hoochie [10]

Answer:

-2,7

Step-by-step explanation:

6 0

3 years ago

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June is driving from brookline, massachusetts to brooklyn, new york. The cities are 200 miles apart. Pretend june lives in a wor

Pani-rosa [81]

The formula that describes this function is c = 50t

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let c represent the distance travelled at time t.

The cities are 200 miles apart and constant speed of 50mph, hence:

50 = c/t

c = 50t

The formula that describes this function is c = 50t

Find out more on equation at: brainly.com/question/2972832

6 0

2 years ago

① Expand and simplify <br> a) 7(x+ 2) + 4(x+5)

Amiraneli [1.4K]

Answer:

11x + 34

Step-by-step explanation:

brackets mean multiplying

so 7x + 14 and 4x + 20

add the like terms together 11x + 34

5 0

3 years ago

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