Factor completely: -6x4y5 - 15x3y2 + 9x2y3

A certain gecko measured 3.5 inches as a hatchling, and then grows at a steady rate of 1.2 inches per month for the first 12 mon

gregori [183]

Answer:

21.1 inches

Step-by-step explanation:

The gecko is 3.5 inches to start with.

If it grows at a rate of 1.2 inches per month for the first 12 months, after 12 months the gecko will be 14.4 inches larger. (Because 12 times 1.2 is 14.4)

So, after 12 months the gecko will be 17.9 inches.

Since the gecko grows at 0.4 inches per month for the next 16 months, and the gecko has grown for 20 months, all we need to do is subtract 12 from 20 (since we already calculated how long it will be after 12 months) and multiply that by 0.4.

Since 20 - 12 is 8, we just multiply 8 by 0.4 to get 3.2. We now add 3.2 to 17.9 to get 21.1 inches.

Hope this helps!

6 0

3 years ago

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents

Alexeev081 [22]

Answer:

Problem 1.

If the plane can still load p no. of passengers , then,

p ≤ 78

Problem 2

With 6 servings of wings, Sarah can serve maximum 2 burgers.

Problem 3

x > 10 [where the passenger travels x miles by either Uber or Lift car]

Step-by-step explanation:

Problem 1

Let, the no. of passengers that the plane can still load is p.

Then, according to the question,

p ≤ (118 - 40)

⇒ p ≤ 78

Problem 2

Let, Sarah can serve x no. of wings and y no. of burgers.

Then according to the question,

6x + 3y < 45 ------------(1) and

x ≥ 4 --------------(2)

Now, for 6 servings of wings or for x = 6,

from (1)

3y < 9

⇒ y < 3

So, with 6 servings of wings, Sarah can serve maximum 2 burgers.

Problem 3

For, going x miles the Uber driver charges,

$ ( 3 + 0.5x)

while the Lift driver charges,

$ ( 2 + 0.6x)

So, the cost of Lift is greater than Uber when

2 + 0.6x > 3 + 0.5x

⇒0.1x > 1

⇒x > 10

3 0

4 years ago

The manager of a new supermarket wished to estimate the likely expenditure of his customers. A sample of till slips from a simil

bagirrra123 [75]

Answer:

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

88.54% of shoppers are expected to spend between $30 and 80 per week.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean of $50 and a standard deviation of $15.

This means that $\mu = 50, \sigma = 15$

Find the probability that any shopper selected at random spends more than $80 per week?

This is 1 subtracted by the p-value of Z when X = 80. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 50}{15}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that any shopper selected at random spends more than $80 per week.

Find the percentage of shoppers who are expected to spend between $30 and 80 per week?

The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 30.

X = 80

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 50}{15}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772

X = 30

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{30 - 50}{15}$

$Z = -1.33$

$Z = -1.33$ has a p-value of 0.0918

0.9772 - 0.0918 = 0.8854

0.8854*100% = 88.54%

88.54% of shoppers are expected to spend between $30 and 80 per week.

8 0

3 years ago

What is 38% of 96? just need someomne to walk me through it plz

Ludmilka [50]

Answer:

37.24

Step-by-step explanation:

ok so there's a strategy I got taught ready?

100%- 96.

38%-x

~cross multiply~

100x= 3724

÷100 ÷100

________________

x=37.24

Hope this helps :D p.s- i recommend using this strategy :D

8 0

3 years ago

Read 2 more answers

[Ignore the 2 problems] I need help on #9

Lena [83]

Comment.
9A
Let's use (a) as an example. What number is in front of the x inside be brackets? If I gave you the choice of 1,2,3,4,5 which number is it out of those 5?

If you chose 5, you have the second best answer. You are reading outside the brackets. Not what we need.

If you choose 1, you are well on your way. There is a 1 beside the x.

Now go to the outside of the brackets. What's in front of the x? 1,2,3,4,5.. There is only one number you can choose. It's a 5. So the result outside the brackets is 5x. How did 1x become 5x? You had to put a 5 on the blank to the left of the brackets..

5(5 + x) = 5x + ___ What goes on the line to the right of 5x? Rule whatever you do to one side of a plus sign inside the brackets, you must do to the other side of the plus sign.

It becomes 5*5

So the blank is filled with 25. And here's the answer.
5(5 + x) = 5x + 25 <<<< answer..
Stop don't do anything more. 5x and 25 are not like terms. They don't mix

9B
Let's make this one brief so that you have something to do. What did you multiply 5 by to get 10? You should answer 2.
2(x + 5) = ___ x + 10

What you do on one side of the plus sign, you must do on the other. So what's in front of the x on the right?

2(x + 5) = 2x + 10 <<<< answer

5 0

3 years ago