Find the product. Simplify your answer.
(3p–2)(4p–1)

Answer:

23

Step-by-step explanation:

First, divide the figure into a large rectangle (2 * 5), a small rectangle (3 * 2), and a quarter circle with a radius of 3. Adding the areas of the 3 shapes together we get 10 + 6 + 7 = 23.

[LARGE RECTANGLE]

A = w * l = 2 * 5 = 10 ([tex]units^{2}[/tex])

[SMALLER TRIANGLE]

A = w * l = 3 * 2 = 6 ([tex]units^{2}[/tex])

[QUARTER CIRCLE]

A * [tex]\frac{1}{4}[/tex] = πr² * [tex]\frac{1}{4}[/tex] = 3 * 3 * π * [tex]\frac{1}{4}[/tex]  = 7 ([tex]units^{2}[/tex])

Answer:$373.50

Step-by-step explanation:

$498.00 divided by 40 is 12.45

12.45 times 30 is $373.50

Triangle ABC was rotated 90 degrees counter clockwise to become triangle STU

The comic book cost $1.50.

A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.

The difference between $1.50 and .60 cents is .90 cents.

25 x 6 = 150  while  10 x 6 = 60  :  150 - 60 = 90

Hope this helps!!

Answer:

it is D

Step-by-step explanation:

I have to show you, but if I do it don't on the paper

Answer:

I understand how that feels

Step-by-step explanation:

Answer:

Maybe

Step-by-step explanation:

maybe

Answer:

yes because it can be written as a fraction 225/1000

Using the equation for the area of a rectangle, the original width of the pen is determined by:

9.5 (W + 5.7) = 77.9

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

Then:

[tex]A = lw[/tex]

[tex]9.5(w + 5.7) = 77.9[/tex]

For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198

Answer:

10 yards

Step-by-step explanation:

10 + 10 + 5 + 5 = 30 feet

30 feet = 10 yards

Answer:

a. P(O) = ¹/₂ = 0.5

As a percentage, this is 50%

b. P(> 2) = ²/₃ = 0.666...

As a percentage, this is 66.6...%

c. P(< 7) = 1

As a percentage, this is 100%

d. P(prime) = ¹/₂ = 0.5

As a percentage, this is 50%

Step-by-step explanation:

a.

1, 3 and 5 are odd, 3 of the outcomes

2, 4 and 6 are even, 3 of the outcomes

So, 3 of the 6 possible outcomes are odd and 3 are even;

Thus, the probability of an odd roll is ³/₆ (and the same applies to even);

This can be simplified to ¹/₂

b.

3, 4, 5 and 6 are the outcomes > 2;

1 and 2 are the outcomes ≤ 2;

So, 4 of the 6 possible outcomes are > 2;

Thus, the probability of rolling < 2 is ⁴/₆;

This can be simplified to ²/₃

c.

All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;

This means the probability of rolling less than 7 is ⁶/₆, or simply 1

d.

Prime numbers: 2, 3, 5, 7 ...

The possible prime number outcomes are 2, 3 and 5;

3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂

Answer:

-12

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

The co-efficient, in this case the - 10s, cancel each other out, leaving just q

9514 1404 393

Answer:

  -3/10

Step-by-step explanation:

11/5 plots on a number line at 2.2

5/2 plots on a number line at 2.5

The distance between these points is 2.5 -2.2 = 0.3.

__

If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.

Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option

A.  A comparison of two numbers

A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8

Learn more on ratios:

https://brainly.com/question/2328454

Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."

According to the question,

Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours

As per the given situation we have,

Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field

[tex]=\frac{(6)(18)}{8}[/tex]

[tex]=13.5[/tex]hours

Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

Learn more about time here

https://brainly.com/question/15356513

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Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

Answer:

1. Eleven plus t

2. 7 times r times s time t

3. t minus seven

4. ten times n

5. fifteen times y

6. four times x

7. a plus b

8. fourteen times x plus 3 times y

Step-by-step explanation:

Hope this helps!

Answer:

1, eleven plus t

2, seven rst

3,t-17

........................

Answer:

it increases the the hole

Step-by-step explanation:

Answer:

No, sorry about that, buddy, I cannot.

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]

Answer:

y= 3x + 4

Step-by-step explanation:

yeah-ya....... right?

Answer:

ayo i think is ufo trying to communicate hey alien we come in peace

Step-by-step explanation:

[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]

Answer:

9×10^16

Step-by-step explanation:

Only if the power is the same, you can just add the first numbers

You just need to combine.

The rule (a) = a tells us we can just remove the parenthesis.

2*10^16 + 7*10^16

That would equal to 9 x 10^16 because when adding exponents, you keep them the same.

Answer:

P(~7) = 12/13

Step-by-step explanation:

There are 4 sevens in a normal deck of cards.

Therefore there are 48 cards out of 52 that are not 7.

P(~7) = 48/52 simplified, it is 12/13

Answer:

A statistic

Step-by-step explanation:

This is because she only examined the applications that she selected.

The given percentage represents statistic.

" Percentage is defined as the hundredth part of a given quantity."

According to the question,

Given,

Collection of data applicants in form of sample

Percentage calulation based on sample

    parameter is not the correct answer.

      Statistic is the correct answer.

Hence, the given percentage represents statistic.

Learn more about percentage here

brainly.com/question/24159063

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Answer:

42

Step-by-step explanation:

Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:

[tex]z = \frac{0.0515}{0.02}[/tex]

[tex]z = 2.575[/tex]

The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.

Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.

0.995 - 0.05 = 0.99

Out of 500 measurements:

(0.99)500 = 495

495 readings fall within 5.15cm of the mean value.

A similar problem is given at https://brainly.com/question/24663213

Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

Answer:

-11 boys -6 girls

Step-by-step explanation: