If one factor of 6x^2+5x-6 is 3x-2, whats the other factor

Hello I need help on this math question

Zigmanuir [339]

Answer:

$50.24\ cm ^2$

Step-by-step explanation:

Let's start by finding the radius of this circle.

$D=2r\\8=2r\\\text{Divide both sides by 2}\\r=4$

Note that in the equation:

$A=\pi r^2$

"A" stands for area and "r" stands for radius.

Now, let's substitute the given values into the equation.

$A=\pi r^2\\A=3.14*(4)^2\\A=3.14*16\\A=50.24\ cm^2$

8 0

2 years ago

A box of cereal stated there are 90 calories in a 3/4 cup serving. How many calories are there in 4 cups of the cereal

Elenna [48]

Answer:

Step-by-step explanation:

Lets call the calories in one cup 'x'

so (3/4)x=90

Solving for x:

x=(90)/(3/4)

x=120

Now for 4 cups:

(4)(120)=?

480 calories in 4 cups of cereal

3 0

3 years ago

An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes m

inessss [21]

Answer:

$\mathbf{ 0.6 \times 0.5 = 0.3 }$

Step-by-step explanation:

Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.

It is given that $P(M) = 0.6$

Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event $D | M^{c}$ (D given M does not occur) is a null event, i.e

$P(D|M^{c}) = 0$

It is also given that,

$P(D|M) = 0.5$

Recall that : $P(D|M) = \frac{P(D \cap M)}{P(M)}$

Here, we are required to find $P(D \cap M)$

$P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3$

7 0

3 years ago

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day 333 people enter the park, the

liberstina [14]

Answer:

188 children and 145 adults were admitted in the park.

Step-by-step explanation:

Given:

The admission fee at an amusement park is $1.50 for children and $4 for adults.

Total $862 collected on a certain day when 333 people enter the park.

Now, to find the children and adults admitted in the park.

Let the number of children admitted be $x.$

And the the number of adults admitted be $y.$

So, the total people enter the park:

$x+y=333\\\\x=333-y\ \ \ ...(1)$

Thus, the total amount collected of the admission fee:

$1.50(x)+4(y)=862\\\\$

Substituting the value of $x$ from equation (1):

$1.50(333-y)+4(y)=862\\\\499.50-1.50y+4y=862\\\\499.50+2.50y=862\\\\Subtracting\ both\ sides\ by\ 499.50\ we\ get:\\\\2.50y=362.50\\\\Dividing\ both\ sides\ by\ 2.50\ we\ get:\\\\y=145.$