Bruce owns a small grocery store and darges per pound et produce Ir a customer orders S pounds of prodeer, om zich das Bruxe charge the castomert function

Since the load L varies directly with the product of width and square of the height h, and inveresly as the length l, so

We will use the second rule

Since L is 8740 pounds when w is 5 in., h is 7 in. and l is 144 in.

We need to find L when w is 6 in., h is 9 in. and l is 216 in.

Let us substitute them in the second rule

By using cross multiplication

Divide both sides by 245

Round it to the nearest integer

The load is 11558 pounds

EXPLANATION

We can affirm by the triangle midsegment theorem that the segment DF is half of the segment BC, therefore:

Plugging in the terms into the expression:

Applying the distributive property and removing the parentheses:

Subtracting -3x to both sides:

Subtracting terms:

Adding +3 to both sides:

Adding numbers:

In conclusion, the value of x is 6

we have

Apply distributive property

simplify

Given:

Number of months and the amount spent on internet service is tabulated.

Let the total cost (t) and the number of months (m)

Therefore equation is

The average height of the Viking's starting lineup is 1.4 inches greater than the average height of the Panther's starting lineup.

The Panthers and the Vikings are competing for the state basketball championship. The data shows the height in inches of the starting lineup for each team.

The heights of the players on the Panther's team are 72, 74, 71, 73, and 75. The heights of the players on the Viking's team are 71, 77, 76, 74, and 74.

Let the average height of the Panther's starting lineup be denoted by the variable "A1".

A1 = (72 + 74 + 71 + 73 + 75)/5

A1 = 365/5

A1 = 73

So, the average height of the Panther's starting lineup is 73 inches.

Let the average height of the Viking's starting lineup be denoted by the variable "A2".

A2 = (71 + 77 + 76 + 74 + 74)/5

A2 = 372/5

A2 = 74.4

So, the average height of the Viking's starting lineup is 74.4 inches.

The difference in the average height is calculated below.

d = A2 - A1

d = 74.4 - 73

d = 1.4

Hence, the average height of the Viking's starting lineup is 1.4 inches greater than the average height of the Panther's starting lineup.

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Let the two consecutive numbers be x and (x+2).

According to the given condition,

Answer:

eh

Step-by-step explanation:

not really imo

but alas i am not a big fan of boats so i mean

what ever floats your boat (i am so funny)

SOLUTION:

Step 1 :

In this question, we are told that Bella counted the number of students who play various instruments in her school's marching band and graphed

the results.

We are asked to find the instruments did the same number of students play.

Step 2:

From the graph, we can see clearly that the same number of students play

Saxophone and Drums.

CONCLUSION:

SAXOPHONE -- OPTION D

DRUMS -------------OPTIO

The amount loaned at 8% interest is $15000

Using the simple interest formula, we find the interest obtained at each rate.

Simple interest, I = PRT where

Now, the interest obtained at 8%,I₁ = P₁R₁T where

Also, the interest obtained at 16%,I₂ = P₂R₂T where

So, the total interest received is I = I₁ + I₂

=  P₁R₁T +  P₂R₂T

= P₁ × 0.08 × 1 +  P₂ × 0.16 × 1

= 0.08P₁ + 0.16P₂

Since the total interest received is $2000,we have that

I = $2000.

So, I = 0.08P₁ + 0.16P₂

0.08P₁ + 0.16P₂ = 2000  (1)

Since the amount loaned by the bank is P = P₁ + P₂ and P = $20000, we have that

P₁ + P₂ = 20000

P₂ = 20000 - P₁   (2)

Substituting equation (2) into (1), we have that

0.08P₁ + 0.16P₂ = 2000  (1)

0.08P₁ + 0.16(20000 - P₁) = 2000  

Expanding the brackets, we have

0.08P₁ + 0.16 × 20000 - 0.16P₁ = 2000  

0.08P₁ + 3200 - 0.16P₁ = 2000  

0.08P₁ - 0.16P₁ = 2000 - 3200

- 0.08P₁ = -1200

P₁  = -1200/-0.08

P₁  = 15000

So, the amount loaned at 8% is $15000

The question seems incomplete, here is the complete question

A bank loaned out ​$20,000​, part of it at the rate of 8 % per year and the rest at 16 % per year. If the interest received in one year totaled ​$2000​, how much was loaned at 8 %

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Yes, your answers are correct.

And the answer would be different if the non-Normal because all the calculations are based on a normal ditributed production of the chocolate bars; if the production of the chocalte bars had a non normal distribution, for example a skewed distribution (to the left or to the right) all the values used in the calculation would be different.

For this problem we know that the sum of 3 consecutive numbers is one hundred five. Let's assume that the 3 numbers is: a, a+1, a+2

And we can set up the following equation:

And we can solve for a like this:

We can subtract 3 in both sides and we got:

And we can divide both sides by 3 and we got:

And we can conclude that the smallest number is 34

Solution:

Given:

From the absolute function, the axis of symmetry is;

Hence, comparing it to the equation given;

Therefore, OPTION C is correct.

Answer: other guy is wrong it’s x= -2

Step-by-step explanation:

It is given that the fraction is:

If a fraction is given by:

Then p is called numerator and q is called denominator.

Hence the numerator is 12 and denominator is 13.

8.1

Remember cos = adjacent side (in this case X) / hypotenuse (10)

shop sells 24 boxes in 2 hrs

so in 1 hrs shop sells 24/2 = 12 boxes,

so in 4 hrs shop sells 12 x 4 = 48 boxes.

We want to solve the equation;

We start by collecting like terms;

The first expression

(-25) + 12

open the parentheses

-25 +12

= - 13

for the second expression

40 + (-63)

in mathematics

- x + = -

40 - 63

= -23

from the two results

-13 and -23

-13 is greater than -23, therefore -23 is less or 40 + (-63)

answer: 40 + (-63) is less

Question A.

The initial population ocurrs at t=0. Then, by substituting this value into the given model ,we get

which gives

then, the answer is 51 owls.

Question B.

The limits when t approaches to + infinity is

then, the answer is 2040 owls.

Question 15.

In this case, we need to find t when N(t) is 950, that is,

By moving the denominator to the left hand side, we have

then, by moving 950 to the right hand side, we obtain

which is

so, we get

By applying natural logarithms to both sides, we have

then, the answer is

By rounding o the neares interger, the answer is 7 years

From the statement of the problem, we know that.

• Andrea lives 5 1/2 blocks to the west of school → x = -5.5,

• Ben lives 4 blocks to the east of school → x = +4,

• Christine lives 2 blocks to the west of school → x = -2,

• Doug lives 6 1/2 blocks to the east of school → x = +6.5.

A) Using the data above, we have:

B) The x coordinate of:

• Andrea is x_A = -5.5,

• Ben is x_B = +4.

The distance between Ben and Andrea is equal to the difference between its coordinates:

We find that Ben lives 9.5 blocks from Andrea.

The function is

y=0,7x+80

and they ask you the point (6, )

this means x=6

so we need to replace x=6 on the function and find out the value of y

Y=0,7*6+80

Y=4.2+80=84.2

So the answer is: (6, 84.2)

and this means that 6 years before 1999, the number of households that have at least one microwave is 84.2 million

For C. 2014 is (2014-1999=15) 15 years after 1999

So we replace x=15

Y=15*0,7+80=90.5

So the answer is: 90.5 million households

we have the following:

therefore the number of galllons is 12

In total Irene makes 4 2/3

She splits the batter into two bowls

Blueberries bowl 2 1/4

walnuts bowl ?

In order to do an estimation

Then for the other fraction

Therefore we do the next estimation

The estimation is 2 2/4 cups of batter with walnuts

For an exact value, we do the next operations

In order to know how much batter has walnuts

Then we convert to a mixed number

As we can see our estimation and the actual differ very a little therefore we do a good estimation

Reverse the rows and photos in each row (ex 5 rows 10 photos=10 rows 5 photos) to get another 3 sets.

5 rows of 10 photos and last row with 3 photos,

6 rows of 8 photos and last row with 5 photos,

7 rows of 7 photos and last row with 4 photos,

Hence, reverse the rows and photos in each row (ex 5 rows 10 photos=10 rows 5 photos) to get another 3 sets.

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To ascertain fi the ratio 12:8 is equivalent to 18:12 we have to reduce the ratios

The slope of a line is given by the following formula:

Where (x1, y1) and (x2, y2) are the coordinates of two points where the line passes through. By replacing (2, -9) and (8, -6) into the above equation, we get:

Then, the slope of the given line is 1/2. The equation of a line can be written in slope-intercept form like this:

y = mx + b = (1/2)x + b

We can find the value of b by replacing the coordinates of one of the point where the lie goes through, let's take (2, -9), then we get:

-9 = (1/2)(2) + b

-9 = 1 + b

-9 - 1 = 1 - 1 + b

-10 = b

b = -10

Then, we can rewrite the above equation to get: y = (1/2)x - 10

We want to write the following system

As a matrix. To do that, we just take the coefficients and plug them in the same order in a matrix. Our system can be rewritten as:

Now, to solve this, we can use the gaussian elimination. It consists of adding, multiplying, and changing the order of the rows, until we have an identity matrix on the left side.

Let's start by subtracting the second row from the third row, and subtracting 2 times the second row from the first row.

Multiplying the first row by (- 1), we have:

Adding the first row to the third row, we have:

Multiplying the last row by 1/9:

Now, subtracting the third row from the second row, and subtracting 5 times the third row from the first row, we have:

Dividing the first row by 3:

Subtracting the twice the first row from the second row:

And finally, permuting the first and the second row

And this is our answer.

(a) We can name the vertex as B.

(b) We can name the sides as A and C.

The image below shows the angles with their names.

(c) The angle on the left is an obtuse angle because it measures more than 90°. The angle on the right is a right angle because it's equal to 90°.

(e) At last, we name these angles in three ways, using a greek later, using the three letters on the points, or just given the letter of the vertex.

We have the expression:

So, when x=-1 we need to use this expression, so lets plot -1 on it:

so f(-1)=1.

The probability that the mean fill is more than 84.8 ounces is 0.39358

From the question, the given parameters about the normal distribution are

Mean value of the set of data = 88.2

Standard deviation value of the set of data = 1.3

The actual data value = 88.2

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

z = (88.2 - 87.9)/1.3

Evaluate the difference of 88.2 and 87.9

z = 0.3/1.3

Evaluate the quotient of 0.3 and 1.1

z = 0.23

The probability that the mean fill is more than 88.2 ounces is then calculated as:

P(x > 88.2) = P(z > 0.23)

From the z table of probabilities, we have;

P(x > 88.2) = 0.5910

Hence, the probability that the mean fill is more than 84.8 ounces is 0.5910

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Given the following equation:

You need to solve for the variable "n" in order to find its value.

The steps are shown below:

1. You can multiply both sides of the equation by "n":

2. Now you need to multiply both sides of the equation by 9:

3. Finally, you can divide both sides of the equation by 15:

The answer is: