A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 440 books. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Answer:

there is a 25% increase from 24 to 30

Step-by-step explanation:

30-24/24 x 100

6/24x 100

0.25x100

25%

Answer:

[tex]\begin{align} \% \text{ Increase} &= \dfrac {\text{Final - Initial}}{\text{Initial}} \times 100 \\ \\ &= \dfrac {30 - 24}{24} \times 100 \\ \\ &= \dfrac {6}{24} \times 100 \\ \\ &= 0.25 \times 100 \\ \\ &= 25 \% \end{align} [/tex]

There is a 25 % increase from 24 to 30.

C. size

because when things dilate they change in size but not shape, orientation or betweenness

Answer:  A.( 2,10) B.(4,6) C(5,4)  D(6,2)

Step-by-step explanation:

Answer:

5 hours lifeguarding and two hours babysitting.

Step-by-step explanation:

5(20) = 100

10(2) = 20

100 + 20 = 120

Answer:

2x - 12

Hope this helps : )

Step-by-step explanation:

The equation for 12 less than twice a number is 2x-12. This is because "12 less than a number" means 12 is being subtracted from a number. The "number" is a variable which can be x. "Twice a number" is the variable being multiplied by 2. So the final equation would be 2x - 12.

The normal approximation to the binomial distribution is C ( n , r ) * p^r * q^n - r .

a )

the binomial distribution .

Null hypothesis H0: μ = 19.4

Alternative hypotheses H1: μ ≠ 19.4

19.4 with minus sign, we get

n = 20, x = 4 and n/2 = 10

Here x < n/2

Therefore, from table the computed P-Value is.

b )

the normal approximation to the binomial distribution ,

P = 2P(X ≤ 4 when θ = 1/2 )

= 2 (0.0059)

= 0.0118

Hence the P value, 0.0118, is less than 0.05, the null hypothesis must be rejected, and we conclude that the mean of the population is not 19.4 minutes.

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Answer:

The coordinates of the vertices of triangle ΔABC, A(0, -1), B(6, 5), and C(-4, 3), indicates that the triangle ΔABCD is a right triangle with all sides of different length.

Step-by-step explanation:

Average velocity of the car as calculated from the given data is 6m/s.

The average velocity is calculated by dividing the total distance travelled by the whole time that has passed. Given the velocity as a function of time, you may integrate the velocity function from t = 4 to t = 8 to determine the total distance travelled.

The opposite of taking a derivative is to integrate; in other words, the function I get when I take a derivative is 2t1/2 + 1. Assuming you are aware of how to do that If not, you can input the aforementioned integral into your TI-84 to obtain the result.

The integral turns out to be

(4/3)t^3/2 + 4t so x(t)

= (4/3)t3/2 + 4t and x(8) - x(4)

= (4/3)(8)3/2 + 4(8) - [(4/3)(4)3/2 + 4(4)]

= 24 meters

The distance travelled in total was 24 meter and it took 4 seconds (8-4) to do it, so the average velocity is 24 /4 = 6 m/s.

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Answer:

the third onei

Step-by-step explanation:

it describes a quadratic equation/

$340 was invested in the 9% fund and 1660 was invested in the 2% profit fund.

Step-by-step explanation:

Let x be amount invested in 9% profit fund

let (2000-x) be the amount invested in the 2% profit fund

.09x+.02 times (2000-x)=89

.09x+40-.02x=89

0.07x=49

x=340

The amount invested in mutual fund A  and mutual fund B is $700 and $1300 respectively.

Profit margin is a measure of profitability. It is calculated by finding the profit as a percentage of the revenue. It is given by :

profit margin = (profit / revenue or return) × 100

Given here $ 2000 invested in two mutual funds

let the amount invested in A be x then the amount invested in B is $2000-x

now profit in dollars from the two mutual funds is equal to $89

therefore, 9% of x + 2% of $2000-x = $89

               0.09x + 0.02×(2000-x) = 89

                     0.09x + 40 - 0.02x = 89  

                                           0.07x = 49

                                                   x = $700

Hence  the amount invested in A is  $700 and amount invested in B is $1300.

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Answer:

R = 12

Step-by-step explanation:

1 + 12/R = 13

Answer:

Step-by-step explanation:

32

Using the equation of the plane and the provided point (1,2,3) with the unit values perpendicular to the plane .The answer is [tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.

A normal in geometry is a piece of geometry that is perpendicular to another piece of geometry, such as a line, ray, or vector. For instance, the (infinite) line perpendicular to the tangent line to the curve at the point is the normal line to a plane curve at the point.

x1=1

y1=2

z1=3

[tex]\frac{x-x1}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{y-2}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{z-3}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} = 1[/tex]

[tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]

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The attached graph is defined by f(x) = x² + 5|x| + 6.

What is the graph function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.

We have,

y = x² + 5|x| + 6

we know,

|x|² = x² use this ,

y = |x|² + 5|x| + 6

Steps for drawing y = |x|² + 5|x| + 6

step1 :- first draw y = x² + 5x + 6, this graph is quadratic equation .

step2:- Leave the part of y=x² + 5x + 6 right side to the y-axis and also take its image with respect to the y-axis as a plane mirror.

step3 :- now remove the part of y = x² + 5x + 6 to left side from y - axis .

now your graph is ready

you can see in the figure attached.

Hence, the attached graph is defined by f(x) = x² + 5|x| + 6.

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Answer:

88 ft^2

Step-by-step explanation:

we can make this a full 10 by 10 rectangle and find the area

10x10

100

And now we subtract the 6 by 2 triangle area that we added

6x2

12

100-12

88 ft^2

Hopes this helps please mark brainliest

Answer:

Answer = 88 ft²

Step-by-step explanation:

Step 1: Divide the composite shape into two separate parrellagrams

    1. Dimensions of shape 1: Length is 10 ft, and width is 4 ft

    2. Dimensions of shape 2: Length is 8 ft, and width is 6 ft

Step 2: Multiply the length by the height of each shape

    Area = lw

    3. Area of shape 1: 10 ft ∙ 4 ft = 40 ft²

    4. Area of shape 2: 8 ft ∙ 6 ft = 48 ft²

Step 3: Add both areas together to get the total area of the composite shape

    5. 40 ft² + 48 ft² = 88 ft²

    Hence, the total area of this composite figure is 88 ft²

The length of BD is 9 units when considering the idea of a line segment's midpoint.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C. As a result, measuring the length of the line segment and dividing it by two will yield the midway.

According to the given information :

AE = 18, DE = 5

However, D is the middle of CE

CE = 2 × 5 = 10

The line CE will become 10

But AE is the total length of the line segment and it is equal to 18

AE = AC + CE

AC = AE - CE

AC = 8

If AC = 8 , BC = 1/2AC

BC = [tex]\frac{8}{2}[/tex]

BC = 4

The BD becomes BC + CD

BD = 9 units

The length of BD is 9 units when considering the idea of a line segment's midpoint.  

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it must be A because it's is going down word

Answer:

Slope is negative

Step-by-step explanation:

from one point to the next, it goes down 1 (-1) and over 4 (4)

or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.

Step-by-step explanation:

Using linear regression, you'd expect 50 people to sign up on day 7.

Answer:

2.4 × 101

Step-by-step explanation:

that is 24 in scientific notation

Answer:

24 * 10^1

Step-by-step explanation:

Hope this helps. :)

Answer:

Step-by-step explanation:

if its asking how many people there are it would be 40,000

Mother, Father, 2 kids=4

4 x 10,000= 40,000

Answer:No, because you cant divide 20 balls into 3 equal groups.

Step-by-step explanation:

Together, Tony and Ted caught 78.29 pounds + 59.36 pounds = 137.65 pounds of fish when they went fishing.

Addition is a mathematical process that combines two or more numbers or units to form a sum. One of the four fundamental operations of mathematics, along with addition, subtraction, multiplication, and division, it is generally represented by the plus sign (+). The fundamental idea of addition is one that is taught to children at a young age and is utilized frequently in both mathematics and daily life. For instance, when shopping, one may tally up the costs of several goods to get the overall expense. In algebra, adding is used to solve problems and make statements simpler. Finding side lengths and shape areas are both important aspects of geometry. In general, adding is flexible. for example,Tony and ted went fishing. and we got to calculate the total fishes caught by them.

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Answer: x + 2/3(x)

Step-by-step explanation:

x = distance F walks to school

2/3(x) = distance T walks to school

Felipe walks first to school, then walks to Tim's house, so total distance Felipe walks:  x + 2/3(x)

Answer:

B. For 5 students, the cost will be the same, and the cost will be $70

Step-by-step explanation:

Look at the graph and see where the two linear plots intersect.

This point of intersection is at the x value of 5 and y value of 70: (5, 70)

Since the x-axis represents the number of students and y axis the total cost, the answer is B

An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The sum of an arithmetic sequence is given as,

S(n) = a + d(n - 1)

The total number of books sold over the first 18 months is 7600.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8, 10 is an arithmetic sequence.

We have,

In the first month, the author sold 2500 books, but the sales were declining steadily at 12% each month.

This means,

a = 2500

12% of 2500

12/100 x 2500

= 12 x 25

= 300

d = 300

Now,

The sum of an arithmetic sequence is given as,

S(n) = a + d(n - 1)

Now,

n = 18

a = 2500

d = 300

S(23):

= 2500 + 300(18 - 1)

= 2500 + 300 x 17

= 2500 + 5100
= 7600

Thus,

The total number of books sold over the first 18 months is 7600.

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You see from the graph that when x = 0, y = 2 so the y-intercept is ( 0 , 2).

you are given points (-6 , 3) and (6 , 1). Find slope:

slope = change in y / change in x

slope = (3 - 1) / (-6 - 6)

slope = 2/-12

slope = -1/6

slope-intercept form: y = mx + b where m = slope and b = y intercept.

y = -1/6x + 2

The value of f(-3) + g(-3) Or (f + g)(-3) is 11.

When the output of one function is given to the input of another function they are called composite functions. In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, f(-3) is 9 and g(-3) is 2.

We know f(x) + g(x) = (f + g)(x).

∴ (f + g)(-3) = 9 + 2.

(f + g)(-3) = 11.

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