Find the quotient.
63,145 - 365

Answer:

A. [tex]4(2x+1)(x-2)[/tex]

Explanation:

[tex]8x^{2} -12x-8[/tex]

1. You can factor out a 4.

        [tex]4(2x^{2} -3x-2)[/tex]

2. Factor [tex](2x^{2} -3x-2)[/tex].

        X-Method:

        1. Draw an X

        2. Multiply ac (2(-2)=-4) then put it in the top part of the X

        3. Then put b, -3, in the bottom part of the X

        4. On the two sides of the X find out what added together equals b, -3,

        and multiplied equals ac, -4.

        5. -4(1)=-4 & -4+1=-3

        6. If the quadratic has a coefficient then you must divide the two sides

        of the X by that coefficient, 2.

        7. -4/2=-2 & 1/2 can't be evenly divided into, so in this case the

        coefficient remains.

        8. When you write this out it will be (2x+1)(x-2)

3. Put it together to get your answer.

        [tex]4(2x+1)(x-2)[/tex]

Answer:

A

Step-by-step explanation:

Answer:

1486.14

Step-by-step explanation:

Answer:

Hence, the hourly rental fee is [tex]\$\: 12[/tex].

Step-by-step explanation:

Time for which Roberto rented the truck [tex]=9[/tex] hours.

Rental fee [tex]=\$ \:50[/tex]

Time for which Allison rented the truck [tex]=4[/tex] hours.

Rental fee [tex]=\$ \:110[/tex]

Both companies have the same hourly rental fee.

Let the hourly rental fee of both the companies be [tex]x[/tex].

Both spent the same amount.

So, according to the question,

[tex]\Rightarrow 50+9x=110+4x[/tex]

[tex]\Rightarrow 9x-4x=110-50[/tex]

[tex]\Rightarrow 5x=60[/tex]

[tex]\Rightarrow x=\frac{60}{5}[/tex]

[tex]\Rightarrow x=12[/tex]

Hence, the hourly rental fee is [tex]\$\: 12[/tex].

Answer:

Step-by-step explanation:

164 double rooms

Answer:

The inequality would be (310-120)/10 less than or equal to x

19 hours minimum

Step-by-step explanation:

(310-120)/10

190/10

19

Step-by-step explanation:

(-23) x 93 = - 2139

(- 16 ) x (- 30) = 480

14 x (- 12) = - 168

Answer:

s=0.20p

Step-by-step explanation:

Answer:

b and c

Step-by-step explanation:

In this exercise we have to use the knowledge of parabolas to describe the value, in this way we have to:

Letter C

In this exercise we are dealing with a parabola and we can solve it just by looking at the values ​​and the graph, so:

See more about parabola at brainly.com/question/8495504

Answer:

1:2

Step-by-step explanation:

i did 16 divided by 4 and got 4, then 24 divided by 4 and got 8 (4:8), then divided 4 by 4 and got 1, and 8 divided by 4 and got 2 (1:2). hope i helped!

Answer:

here

Step-by-step explanation:

2.000.000.099

Answer:

(48.70-1.20)/4.75 = x x=10

Step-by-step explanation:

you should get the x by its self by moving the 1.20 over to the other side then divide by the 4.75 this would get x by its self leaving you to answer and get an answer of 10

Chase rode the taxi for 10 miles.

Let the number of miles in the taxi ride be represented by x.

Pick up fee = $1.20

Amount per mile = $4.75 per mile.

Therefore, the number of miles in the taxi ride will be:

1.20 + (4.75 × x) = 48.70

1.20 + 4.75x = 48.70

Collect like terms

4.75x = 48.70 - 1.20

4.75x = 47.50

Divide both side by 4.75

4.75x/4.75 = 47.50/4.75.

x = 10

Therefore, the number of miles is 10 miles

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Answer: It would be Todd for (P) and Jenna for (VP)

Step-by-step explanation: OK, so look there are four people wanting to run for president and vice presdent  so Todd and Jenna are running for a school club Todd has a higher chance of getting one of the two positions because if people vote enough for Todd to get the president position and has a change of getting vice president so If Jenna get lots of vote for (P) then she will run for (P) but if not flip flop Todd and Jenna positions and   one of them go to get some position or if not the candidates move up a step.

Answer:

B

Step-by-step explanation:

There are six numbers altogether. 2 3 and 5 are prime. One is odd, but it is not considered prime.

So P(prime) = 3/6 = 1/2

As a percent, this is 1/2 * 100 = 50%

Answer:

Step-by-step explanation:

Each oven weights 300 pounds and there 80 ovens:

Weight left for freezers:

Number of freezers could be added:

9514 1404 393

Answer:

  80

Step-by-step explanation:

ab is the product of 'a' and 'b'. For the given values, that is the product ...

  ab = (-16)(-5) = 80

_____

When the number of minus signs is even, the resulting product is positive.

Answer: Wouldn't That be 15, Since He bought 515, Then spent 500, So 515-500=15 (If its Wrong I'm Sorry)

Answer:

B. 3x = 6

Step-by-step explanation:

The left side of a hanger is on the left side of the equation, and the right side of a hanger is on the right side of the equation.

There are 3 x's on the left side, so the left side is 3x

The right side shows 6 unit boxes, so the right side is (1 * 6), or 6.

As a result, the equation is 3x = 6, which is B.

Answer:

x=26

Step-by-step explanation:

We can use the Pythagorean theorem for this answer.

Pythagorean Theorem: a^2 +b^2 = c^2

We can see that both triangles are right triangles. We should first find the hypotonus of the bottom triangle.

So, we plug in the values.

6^2 +8^2 = c^2

36 +64 = c^2

c^2= 100

c= square root of 100

c=10

The hypotonus for the bottom triangle is equivalent to the base of the top triangle. Therefore, we can use the Pythagorean Theorem again.

10^2 +24^2= c^2

100+576+c^2

c^2 = 676

c= square root of 676

c= 26

The answer to the problem is 26.

Answer:

$80 - 60% = 32

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex] - 1.9f - 16[/tex]

Step-by-step explanation:

1. Collect like terms.

[tex]( - 2.8f + 0.9f) + ( - 12 - 4)[/tex]

2. simplify.

[tex] - 1.9f - 16[/tex]

Therefor, the answer is, -1.9f - 16

Answer:

4.5

Step-by-step explanation:

Diameter is equal to 2r. In other words, to find radius from the diameter, you divide the diameter by two. In this case, its 9/2. That gives you 4.5

Answer:

4 1/2 feet

Step-by-step explanation:

The radius fo the circle is half of the diameter so 4 1/2 Feet.

Answer: 13/24

Step-by-step explanation: M A T H W A Y Calculator

Answer:

0.54166666666 or 13/24

Step-by-step explanation:

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where is the different number?

Answer:

7

Step-by-step explanation:

the answer is 7.

Answer:

 (-2x - 1) • (x + 3)

Step-by-step explanation:

3.2     Factoring  2x2 + 7x + 3

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  +3

Step-1 : Multiply the coefficient of the first term by the constant   2 • 3 = 6

Step-2 : Find two factors of  6  whose sum equals the coefficient of the middle term, which is   7 .

     -6    +    -1    =    -7

     -3    +    -2    =    -5

     -2    +    -3    =    -5

     -1    +    -6    =    -7

     1    +    6    =    7    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  1  and  6

                    2x2 + 1x + 6x + 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (2x+1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2x+1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (2x+1)

            Which is the desired factorization

Answer:

a) 0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b) 0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c) 0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d) 0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e) 0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Poisson distributed, with a mean of 0.6 trips per year

This means that [tex]\mu = 0.6n[/tex], in which n is the number of years.

a.The family did not make a trip to an amusement park last year.

This is P(X = 0) when n = 1, so [tex]\mu = 0.6[/tex].

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-0.6}*(0.6)^{0}}{(0)!} = 0.5488[/tex]

0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b.The family took exactly one trip to an amusement park last year.

This is P(X = 1) when n = 1, so [tex]\mu = 0.6[/tex].

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 1) = \frac{e^{-0.6}*(0.6)^{1}}{(1)!} = 0.3293[/tex]

0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c.The family took two or more trips to amusement parks last year.

Either the family took less than two trips, or it took two or more trips. So

[tex]P(X < 2) + P(X \geq 2) = 1[/tex]

We want

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5488 + 0.3293 = 0.8781[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8781 = 0.1219[/tex]

0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d.The family took three or fewer trips to amusement parks over a three-year period.

Three years, so [tex]\mu = 0.6(3) = 1.8[/tex].

This is

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.8}*(1.8)^{0}}{(0)!} = 0.1653[/tex]

[tex]P(X = 1) = \frac{e^{-1.8}*(1.8)^{1}}{(1)!} = 0.2975[/tex]

[tex]P(X = 2) = \frac{e^{-1.8}*(1.8)^{2}}{(2)!} = 0.2678[/tex]

[tex]P(X = 3) = \frac{e^{-1.8}*(1.8)^{3}}{(3)!} = 0.1607[/tex]

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607 = 0.8913[/tex]

0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e.The family took exactly four trips to amusement parks during a six-year period.

Six years, so [tex]\mu = 0.6(6) = 3.6[/tex].

This is P(X = 4). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.1912[/tex]

0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

Probabilities are used to determine the chances of events.

The given parameters are:

[tex]p = 0.6[/tex]

The distribution is given as a Poisson distribution.

So, we have:

[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]

Where:

[tex]\mu = np[/tex]

Last year means that:

[tex]n = 1[/tex] --- the number of years.

No trip, means that:

[tex]x = 0[/tex]

So, we have:

[tex]\mu = np[/tex]

[tex]\mu = 1 \times 0.6[/tex]

[tex]\mu = 0.6[/tex]

The probability becomes

[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]

[tex]P(0) = \frac{e^{-0.6} \times 0.6^0}{0!}[/tex]

[tex]P(0) = \frac{0.5488 \times 1}{1}[/tex]

[tex]P(0) = 0.5488[/tex]

Hence, the probability that the family did not make a trip to an amusement park last year is 0.5488

This means that:

x = 1.

So, we have:

[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]

[tex]P(1) = \frac{e^{-0.6} \times 0.6^1}{1!}[/tex]

[tex]P(1) = \frac{0.5488 \times 0.6}{1}[/tex]

[tex]P(1) = 0.3293[/tex]

Hence, the probability that the family took exactly one trip to an amusement park last year is 0.3293

This means that:

x = 2,3...

So, we make use of the following complement rule:

[tex]P(x\ge 2) = 1 - P(x < 2)[/tex]

This gives

[tex]P(x\ge 2) = 1 - P(0) - P(1)[/tex]

So, we have:

[tex]P(x\ge 2) = 1 - 0.5488 - 0.3293[/tex]

[tex]P(x\ge 2) = 0.1219[/tex]

Hence, the probability that the family took two or more trips to an amusement park last year is 0.1219

For a three-year period, we have:

[tex]n = 3[/tex]

So, the mean of the distribution is:

[tex]\mu = np[/tex]

[tex]\mu = 3 \times 0.6[/tex]

[tex]\mu = 1.8[/tex]

The probability is then represented as:

[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

Calculate P(0) to P(3) using:

[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]

So, we have:

[tex]P(0) = \frac{e^{-1.8} \times 1.8^0}{0!}[/tex]

[tex]P(0) = \frac{0.1653 \times 1}{1}[/tex]

[tex]P(0) = 0.1653[/tex]

[tex]P(1) = \frac{e^{-1.8} \times 1.8^1}{1!}[/tex]

[tex]P(1) = \frac{0.1653 \times 1.8}{1}[/tex]

[tex]P(1) = 0.2975[/tex]

[tex]P(2) = \frac{e^{-1.8} \times 1.8^2}{2!}[/tex]

[tex]P(2) = \frac{0.1653 \times 3.24}{2}[/tex]

[tex]P(2) = 0.2678[/tex]

[tex]P(3) = \frac{e^{-1.8} \times 1.8^3}{3!}[/tex]

[tex]P(3) = \frac{0.1653 \times 5.832}{6}[/tex]

[tex]P(3) = 0.1607[/tex]

So, we have:

[tex]P(x \le 3) = P(0) + P(1) + P(2) + P(3)[/tex]

[tex]P(x \le 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607[/tex]

[tex]P(x \le 3) = 0.8913[/tex]

Hence, the probability that the family took three or fewer trips to amusement parks over a three-year period is 0.8913

A six-year period means that:

[tex]n = 6[/tex]

So, the mean of the distribution is:

[tex]\mu = np[/tex]

[tex]\mu = 6 \times 0.6[/tex]

[tex]\mu = 3.6[/tex]

The probability is then calculated as:

[tex]P(x) = \frac{e^{-\mu} \times \mu^x}{x!}[/tex]

So, we have:

[tex]P(4) = \frac{e^{-3.6} \times 3.6^4}{4!}[/tex]

[tex]P(4) = \frac{0.0273 \times 167.9616}{24}[/tex]

[tex]P(4) = 0.1911[/tex]

Hence, the probability that the family took exactly four trips to amusement parks over a six-year period is 0.1911

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Answer:

m>1

Step-by-step explanation:

inverse operations... add 3 to both sides so you get -2+3=1!!