135 pencils were to be packed into boxes. Each box could take 12 pencils. find the number of boxes fully packed​

9514 1404 393

Answer:

  20

Step-by-step explanation:

As with any evaluation problem, take it step by step according to the order of operations.

The first thing you need to do here is compute a#b.

The given definition can be simplified a bit for evaluation purposes:

  a#b = a²b -ab² = ab(a -b)

Then for a=3 and b=-2, you have ...

  (3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30

Now, you are in a position to evaluate the expression you're asked for.

  [tex]\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}[/tex]

[tex]3.09375[/tex] ✅

Step-by-step explanation:

[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

x = 25 degree

Step-by-step explanation:

5x + 4 = 8x - 71 (being vertically opposite angle)

5x - 8x = -71 - 4

-3x = -75

x = -75/-3

x = 25

Answer:

The correct answer is B.

Step-by-step explanation:

The area of the closest answer is 30 since the actual area is 28 square inches.

Answer:

Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.

Step-by-step explanation:

(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)

Answer:

x ≈ 5.7

Step-by-step explanation:

Recall, SOH CAH TOA.

We are given:

Reference angle = 35°

Opposite side length to reference angle = 4

Adjacent side = x

To find x, apply the trigonometric equation, TOA, which is:

Tan 35° = Opp/Adj

Substitute

Tan 35° = 4/x

x*Tan 35° = 4

x = 4/Tan 35°

x ≈ 5.7

Answer:

Hi there!

Step-by-step explanation:

First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)

Hope you enjoy!

Answer:

11

Step-by-step explanation:

Using GEMDAS

G-Group

E-Exponent

M-Multiplication

D-Division

A-Addition

S-Subtraction

Step 1: Substitute the value y=5 in the equation

35÷(5+2)+4

Step 2: Evaluate the equation by computing first the parenthesis

35÷(7)+4

Step 3: Next divide 35 by 7

(5)+4

Step 4: Add

=9

The answer is 9.

Answer:

13/3 = 4 1/3 which when rounded is 4hrs

As 4.3/4 = 1.075 = 1 unit and not 2

Step-by-step explanation:

13/3 = 4.33333333 and rounded down = 4 hrs

Answer:

well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance

Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly

Answer:

It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.

Step-by-step explanation:

When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :

Changing the data format for variables whose units do not conform and so on.

The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.

Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted

Depending on what we hope to discover from the data, an analysis may be performed

A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.

When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this

changing the data format for variables with non-conforming unit measurements.

During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers

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Answer:

It will cost $121.50

Step-by-step explanation:

C = 20 + 25h + .05m

Now plug in the hours and miles

C = 20 + 25(4) + .05(30)

C = 20 + 100 + 1.5

C = 121.50

The total cost rent the truck for 4 hours and 30 miles drive is $121.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, a home improvement store charges $20 to rent a small truck for 1 hour.

Let the number of hours be h and the number of miles be m.

Now, total charge = 20+25h+0.05m

Here, h=4 and m=30

So, total charge = 20+25(4)+0.05(30)

= $121.5

Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.

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Answer:

m=13

Step-by-step explanation:

Answer:

2(6+x)

Step-by-step explanation:

1. Multiply the numbers

20+2x-8

2. Subtract the numbers

12+2x

3. Factor 2 from the expression

2(6+x)

Answer:

D. 3

Step-by-step explanation:

two parallel lines have the same slope

Answer:

She should order 2400 coupons.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population.

This means that [tex]p = 0.4, s = 0.01[/tex]

How many coupons should she order?

We have to find n. So

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]0.01 = \sqrt{\frac{0.4*0.6}{n}}[/tex]

[tex]0.01\sqrt{n} = \sqrt{0.4*0.6}[/tex]

[tex]\sqrt{n} = \frac{\sqrt{0.4*0.6}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{\sqrt{0.4*0.6}}{0.01})^2[/tex]

[tex]n = 2400[/tex]

She should order 2400 coupons.

Answer:C

Step-by-step explanation: you have to multiply first than subtract because it says subtract 32 FROM the product meaning multiplying comes first than subtract

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]3x - 4y = 8[/tex]

Required

Graph the line

First, we calculate the intercepts

Set x = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3*0 - 4y = 8[/tex]

[tex]- 4y = 8[/tex]

Divide by -4

[tex]y = -2[/tex]

So, we have:

[tex](x,y) = (0,-2)[/tex]

Next, set y = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3x - 4 * 0 = 8[/tex]

[tex]3x = 8[/tex]

Divide by 3

[tex]x = 8/3[/tex]

So, we have:

[tex](x,y) = (8/3,0)[/tex]

The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]

Here's my answer

hope it helps

Answer:

r=-6

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]

Answer:

i don't know

Step-by-step explanation:

I don't know

Step-by-step explanation:

= 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Answer:

2ap + aq - bq -2bp = (a - b)(2p + q)

Step-by-step explanation:

(2ap + aq) - (bq -2bp)

a(2p +q) -b(q + 2p)    [ taking a common from the first, and b from the second]

(2p + q) [a - b]           [takin (2p + q)]

(2p + q)(a - b)

The completely factored form of the expression 2ap + aq - bq - 2bp is

(a - b)(2p + q).

In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.

Given expression: 2ap + aq - bq - 2bp

Step 1: Look for common factors.

Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.

Step 2: Factor out the common terms.

We can factor 'a' from the first two terms: a(2p + q)

And factor '-b' from the last two terms: -b(q + 2p)

Step 3: Rearrange the expression.

Now we have: a(2p + q) - b(q + 2p)

Step 4: Factor by grouping.

We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)

Step 5: Final result.

Thus, the completely factored form of the given expression is

(a - b)(2p + q).

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Answer:

I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.

Step-by-step explanation:

9514 1404 393

Answer:

See the attachment. Brainly doesn't like function constructs using f as a function name. Hence the picture.

Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

Answer:

This can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Step-by-step explanation:

Given that a bag contains exactly 50 coins, and the coins are either worth 10 cents, 20 cents or 50 cents and there is at least one of each, and the total value of the coins is $ 10, to determine how many different ways can this occur, the following calculation must be performed:

48 x 0.5 + 1 x 0.2 + 1 x 0.1 = 24.30

48 x 0.1 + 1 x 0.2 + 1 x 0.5 = 5.5

48 x 0.2 + 1 x 0.1 + 1 x 0.5 = 10.3

45 x 0.2 + 4 x 0.1 + 1 x 0.5 = 9.9

44 x 0.2 + 5 x 0.1 + 1 x 0.5 = 9.8

42 x 0.2 + 6 x 0.1 + 2 x 0.5 = 10

30 x 0.1 + 10 x 0.2 + 10 x 0.5 = 10

Therefore, this can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6