help please it's eLearning day​

Answer: 2150 books

Step-by-step explanation: Let the number of books Jessica has be the variable x. Percentage works the same way as multiplying fractions, for example 19% of "something" is 19/100 times that "something". If Jessica has x books, and Lily has 15% more books (that is, 115% Jessica's books), at the same time Lily has 150 more books, it's safe to assume that 15% of x is 150, and so, 15x/100 = 150, if so, 15x = 15000, and x = 1000. Now that Jessica has 1000 books, and Lily has Jessica's books and 150 more (or 1000 + 150), the problem sums up to (1000 + 150 + 1000) = 2150.

0.625 is the terminating decimal between 0.5 and 0.75.

A fraction represents a part of a whole.

Terminating decimal between 0.5 and 0.75

we can find the mean of these two numbers and if the mean is terminating decimal then this will be the required answer.

0.5+0.75/2=0.625

Fractions having a denominator which can be factored in terms of 2 or 5 (or both) will terminate completely or will have terminating decimals.  

But the fractions whose denominator can not be factored only in terms of 2, 5 or both, will repeat or will have repeating decimals..

As 2=2¹  , 4= 2², 8=2³ , 16=2⁴

Here, 2,4,8,16, and 32 are all powers of 2 and fractions with these denominators will have terminating decimal expansion.  

As, 6=2×3, 12=3×4, 18=6×3, 24=6×4

But 6,12, 18, and 24 can'not be factored only in terms of 2 or 5 or both. Therefore, fractions with these denominators will have repeating decimals.

Hence, Fractions in simplest form that have denominators of 2, 4, 8, 16, and 32 produce terminating decimals. Fractions with denominators of 6, 12, 18, and 24 produce repeating decimals

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

The number of significant figures that the digits given have are;

1) 3

2) 2

3) 4

Significant figures are defined as the number of digits in a value, which is often a measurement, that contributes to the degree of accuracy of the value.

Some of the rules for counting significant figures are;

- All non-zero  digits and any zeros contained between non - zero digits count e.g 300042 has 6 significant digits

- Leading zeros don't count e.g 0.000254 has only 3 significant figures.

- Trailing zeros count if there is a decimal point e.g 0.0002500 has 4 significant figures.

- Trailing zeros will not count if there is no decimal point e.g 180000 has only 2 significant figures.

1) 90500 Kg; This has only 3 significant figures when applying rule 1 and 4 above.

2) 7.1 x 10 ml = 71 ml; This clearly has 2 significant figures.

3) 0.004300; Applying rule 3 above, this has 4 significant figures.

Read more about significant digits at; https://brainly.com/question/24491627

#SPJ1

a) The equation in the form of x is x + x+2 + x+4 = 648.

b) The three consecutive even integers are 214, 216 and 218.

What is an integer?

The number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer denoted by a minus sign (1, 2, 3, etc.) are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

It is given that the sum of three consecutive even integers is 648.

The smallest integer is taken to be x.

Since, the numbers are consecutive and even then the numbers will be x, x+2 and x+4

So, according to the question the equation will be -

x + x+2 + x+4 = 648

Solve the equation to get the value of x -

3x+6 = 648

3x = 648 - 6

3x = 642

x = 214

Hence, the three numbers are x = 214,

x+2 = 214+2 = 216

x+4 = 214+4 = 218.

To learn more about integer from the given link

https://brainly.com/question/17695139

#SPJ1

Using the formula for the surface area of the rectangular prism and with the provided values, The answer is 366 [tex]mm^2[/tex].

A rectangular prism is a three-dimensional geometric shape that has six rectangular faces. It has three pairs of parallel faces, with each pair being a rectangle of the same size and shape. The opposite faces of a rectangular prism are also parallel and congruent. It is also known as a cuboid. In addition to having three pairs of parallel, congruent rectangle faces, a rectangular prism also has three pairs of parallel edges and four pairs of congruent vertices. It can also be defined by its length, width, and height, which are the measurements of the three rectangular faces.

The surface area of a three-dimensional object is the total area of all of its faces or surfaces. It is the sum of the areas of all the faces of an object. For example, the surface area of a rectangular prism is the sum of the areas of all six of its rectangular faces. To find the surface area, you would add up the area of the length x width of each face. In a rectangular prism, the surface area can be calculated by:

Surface Area = 2lw + 2lh + 2wh

Where l is the length, w is the width and h is the height.

Surface Area = 2lw + 2lh + 2wh

l=9mm

w=3mm

h=13mm

surface area = 2·(3·9+13·9+13·3) = 366[tex]mm^2[/tex].

To learn more about prisms visit:

https://brainly.com/question/27914026

#SPJ1

Answer:$40

Step-by-step explanation:

Find the price of the item after the discount was applied.

Find the discount percentage that was applied to the price.

Divide the discount percentage by 100.

Subtract that number from 1.

Divide the after-discount price by that number.

This number is the original price of the item, pre-discount.

The story that can be represented by the equation y=x−2/3x is D. Noah bought x pounds of cheese. Clare bought 2/3 less than that.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

Since Noah bought x pounds of cheese. Clare bought 2/3 less than that. This will be:

x - 2/3x

Therefore, the correct option is D.

Learn more about equations on

brainly.com/question/2972832

#SPJ1

The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

Learn more about Correlation Coefficient here:

https://brainly.com/question/15577278

#SPJ4

There are approximately 63 large blocks in the Mega Maker set.

Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division. In ratios the dividend is called the 'antecedent' and the divisor is called the 'consequent'.

The ratio of large to small is 40 to 25

To find the ratio of the big block for the the mega maker will be;

40 : 25 in its simplest form 8 : 5

100 : X

X = (5 x 100) / 8

X = 500 / 8

X = 62.5

62.5 is not a whole number so it can be approximated to the nearest whole number which is 63.

Learn more about ratios here: https://brainly.com/question/12024093

#SPJ1

Answer: 160

Step-by-step explanation:

A scaled-down version of the right triangle on the left, where the fraction is 54, is shown on the right.

A scaled-down version of the right triangle on the left can be seen in the right triangle on the right. The scaling factor should be recognised as a whole integer or simplest possible fraction. In order to relate these two sides, we will choose the number 15 since it is a finer number than 254 and is therefore the longer of the two sides that correlate to the number 12.

And since we're moving in this direction and getting bigger, the scale factor needs to be greater than 1 . Consider the difference between the original corresponding length of 12 and the new length of 15, which is 15. Because 15 is three times the original length of 12, the difference between 15 and 12 may be simplified. Though your response is 54.

To learn more about fraction refer to :

https://brainly.com/question/20023959

#SPJ1

Here scale factor is 33/25

33/25  =  1.32

To learn more about scale factor refer to:

brainly.com/question/30152367

#SPJ1

Answer:

b

Step-by-step explanation:

For the given inequality: 2x - 3y ≥ 12.

m = 2

b = -4

Line: Solid

Shade: Below

(0, 2) is not the solution for the given inequality.

(3, 4) is the solution for the given inequality.

(-2, -2) is not the solution for the given inequality.

What is linear inequality?

An inequality is a mathematical statement comparing two values or expressions, usually involving one of the following relational operators: < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), or != (not equal to). The solution to inequality is a set of values that make the inequality true.

The given inequality, 2x-3y>=12, is a linear inequality in two variables. The slope of the line represented by this inequality is the coefficient of x, which is 2. The y-intercept of the line is not explicitly given in the inequality, but we can find it by setting x = 0 and solve for y.

To find the y-intercept, we set x = 0 and substitute it into the inequality:

2(0) - 3y >= 12

-3y >= 12

y <= -4

and by observing the graph, we can say that

Line: Solid

Shade: Below

(0, 2) is not the solution for the given inequality.

(3, 4) is the solution for the given inequality.

(-2, -2) is not the solution for the given inequality.

Hence,

For the given inequality: 2x - 3y ≥ 12.

m = 2

b = -4

Line: Solid

Shade: Below

(0, 2) is not the solution for the given inequality.

(3, 4) is the solution for the given inequality.

(-2, -2) is not the solution for the given inequality.

To learn more about linear inequalities, visit:

https://brainly.com/question/24372553

#SPJ1

Answer:

2.25, v5, 2.2, 2 1/5, 2

Step-by-step explanation:

v5 = 2.24

Answer:

4

Step-by-step explanation:

This is a right triangle.

To find the value of x we can use Pythagoras theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

a and b are the legs which are given as 3 and √7 respectively and c is the hypotenuse.

[tex] {3}^{2} + ( { \sqrt{7} )}^{2} = {c}^{2} [/tex]

[tex]9 + 7 = {c}^{2} [/tex]

[tex]16 = {c}^{2} [/tex]

4 = c

Answer:

Answer is written in the link

Step-by-step explanation:

https://brainly.com/question/30174719

Refer to this link

The solution of the interval will be;

⇒ (- 3, 5]

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The interval is,

⇒ (- ∞, 5] ∩ (- 3, ∞)

Now,

Since, The interval is,

⇒ (- ∞, 5] ∩ (- 3, ∞)

Hence, The solution of the interval is,

⇒ x ∈ (- ∞, 5] and x ∈ (- 3, ∞)

⇒ x ∈ (- 3, 5]

Thus, The solution of the interval = (- 3, 5]

Learn more about the number line visit:

https://brainly.com/question/24644930

#SPJ1

Table 4 represents a direct variation function.

What is the direct variation?

A pair of variables that are related when one is a constant multiple of the other. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant).

Here,

We have given a table and we have to determine which table represents a direct variation function.

A function of direct variation fulfills the following form:

y = kx<br/>

Where,

x: independent variable

y: dependent variable

k: proportionality constant (k> 0)

The value of k is given by:

k = (y₂ - y₁)/(x₂ -x₁)<br/>

Now, we substitute value

k = (12.5 - 5)/(5 -2)<br/>

k = 2.5>0

Hence, table 4 represents a direct variation function.

To learn more about the direct variance from the given link

https://brainly.com/question/6499629

#SPJ1

The profit is 45 ₹ if he sold 15 kg of rice.

Cost of rice for the shopkeeper, c = 42 ₹

Price of the rice sold, p = 45₹

hence, the profit per kg of rice, P = p - c = 45 - 42

P = 3₹ per kg of rice

therefore, the profit of 15kg

= 15 × 3 ₹

Total profit = 45 ₹

Therefore, the profit is 45 ₹ if he sold 15 kg of rice.

To learn more about profit:

https://brainly.com/question/20392443

Nelson has 2+x/3 pears.

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry.

In algebra, symbols are used, and operators are used to connecting the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

After Donovan gives Mabel 6 pears, she has 6+x pears. If Mabel gives one-third of her pears to Nelson, he gets (1/3) * (6+x) pears = (2+x/3) pears. Therefore, Nelson has 2+x/3 pears.

To know more about algebra visit :

https://brainly.com/question/24875240?referrer=searchResults

#SPJ4

Answer: y+2.50

Step-by-step explanation:

The function is discontinuous at x=-2, x=0, x=2. The correct answer is B.

A function is said to be discontinuous at a point if it does not have a well-defined value at that point or if the left-hand limit and the right-hand limit at that point are not equal. Discontinuity can be classified as removable or non-removable. Without knowing the specific function, it is not possible to determine exactly where it is discontinuous. However, From the options provided B) x=-2, x=0, x=2 is the only option that lists all possible discontinuous points.

To learn more about discontinuity visit: https://brainly.com/question/17160504

#SPJ4

The percent of the iceberg which is not visible above the water could be 12.5%.

What is percentage ?

percentage can be defined as the  product of ratio of value and total value and 100 .

Given, the captain of a ship must use extreme caution when approaching an iceberg, because only 0.125 of it is above the surface of the water

so the percent of the iceberg which is not visible could be

0.125 * 100 = 12.5 %

Hence , the percent of the iceberg which is not visible above the water could be 12.5%.

To learn more about percentage from the given link .

https://brainly.com/question/24877689

#SPJ1

The value of ∠ABD is 20°.

In geometry, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal halves. An angle bisector is a ray that divides an angle into two identical segments of the same length.

Given ∠ABC = 40°

and BD is angle bisector,

so ∠ABD  = ∠DBC

∠ABD  = 3x - 1

∠DBC = 34 - 2x

∠ABD  = ∠DBC

3x - 1 = 34 - 2x

3x + 2x = 34 + 1

5x = 35

x =7

∠ABD  = 3x - 1

∠ABD  =  3(7) - 1

∠ABD  = 20°

Hence value of ∠ABD  = 20°.

Learn more about bisector of angle;

https://brainly.com/question/12896755

#SPJ1

Mrs. Malatlian has failed to meet the condition that np ≥ 10.

Meet is an event or gathering of people who have come together for a common purpose or to discuss specific topics. It typically involves a group of people who come together in person or virtually to exchange ideas and information. Meetings are often used as a platform for brainstorming, collaboration, problem solving, decision-making, and/or making plans. They can also serve as a platform for networking, team building, and connecting with others. Meetings can also be used to disseminate information or provide updates to a group.

Specifically, the sample size (n) is 28 and the proportion of those who plan to participate in the game (p) is 20/28 = 0.71.
Thus, np = 28(0.71) = 19.88 which is less than 10.

To learn more about meet
https://brainly.com/question/29326319
#SPJ1

Answer:=4

Step-by-step explanation:√(√7)²+3²

                                            √7+9

                                             √16

                                      =4

The rate interest of the first CD account is 5%.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Given that, two certificates of deposit pay interest rates that differ by 3%.

Let 1000 be the amount of principal invested. Let n/100 be the rate of interest on the first CD and n+3/100 be the amount paid on the second CD.

1000(n/100)=50

1000(n+3/100)=655

10n=50

n=5%

So, n+3= 8%

Therefore, the rate interest of the first CD account is 5%.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

#SPJ1

Randy can buy six gallons of gas for $18. He would pay $24 for 8 gallons of gas.

We can see that he pays three dollars per gallon by dividing the per gallon. 18 dollars/6 gallons equals 3 dollars, and 21 dollars/7 gallons equals 3 dollars. So, if he pays the same $3 per gallon rate, he will pay $24.

Fuel costs can be estimated using this calculator based on trip distance, vehicle fuel efficiency, and gas prices in various units. Gas prices fluctuate, but for most drivers, it is always a significant expense.

If you use mpg (miles per gallon), the total gas consumption formula is as follows: as an example The total amount of fuel required is 500 / 20 = 25 gallons if the distance is 500 miles and the consumption rate is 20 miles per gallon


To learn more about gallons

https://brainly.com/question/19638640
#SPJ4

An equilateral triangle has equally long sides.

An equilateral triangle is a special type of triangle where all three sides are equal in length. This means that all three angles of the triangle measure 60 degrees each. This also means that all three sides of the triangle are of equal length, and that the triangle is also an isosceles triangle (since two of the sides are equal). Therefore, the statement "All sides of an equilateral triangle are equal in length" is true for all equilateral triangles.

All equilateral triangles have three sides of equal length, with all three angles measuring 60 degrees each, and they are also isosceles triangles.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

If we perform a dilatation by a scale factor of 2 on triangle ABC and resulting in triangle A’B’C’ where A’(-4,4), B’ (-4,6), and C’ (2,4), then the original coordinates of triangle ABC are A(-2,2), B(-2,3), C(1,2)

A coordinate plane is a system that graphs and describes the position of points and lines. It consists of horizontal (x) and vertical (y) axes.

We can perform dilatation for a point or line in a coordinate plane system based on specific criteria.

Dilation is a form of image transformation that produces a new image, which is larger, or smaller, based on a certain scale factor.

The rule of dilatation:

[tex]D_{k}[/tex](x,y) = (kx, ky)

where [tex]D_{k}[/tex] is the resulting point and k is the scale factor.

Now take a look at the vertices of triangle A’B’C’ and apply the rule:

A'(x,y) = (kx, ky)

(-4,4) = (2x, 2y)

so x = -2, and y = 2 ⇒ A (-2,2)

B'(x,y) = (kx, ky)

(-4,6) = (2x, 2y)

so x = -2, and y = 3 ⇒ B (-2,3)

C'(x,y) = (kx, ky)

(2,4) = (2x, 2y)

so x = 1, and y = 2 ⇒ C (1,2)

Thus, the original coordinates of triangle ABC are A(-2,2), B(-2,3), C(1,2)

To learn more about dilatation, click here:  https://brainly.com/question/16596053

#SPJ4

Answer:

y = 2A - x

Step-by-step explanation:

Given equation,

→ A = (x + y)/2

Now the value of y will be,

→ A = (x + y)/2

→ (x + y)/2 = A

→ x + y = 2A

→ [ y = 2A - x ]

Hence, answer is y = 2A - x.

Answer:

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

sin

(

15

)

Split

15

into two angles where the values of the six trigonometric functions are known.

sin

(

45

−

30

)

Separate negation.

sin

(

45

−

(

30

)

)

Apply the difference of angles identity.

sin

(

45

)

cos

(

30

)

−

cos

(

45

)

sin

(

30

)

The exact value of

sin

(

45

)

is

√

2

2

.

√

2

2

cos

(

30

)

−

cos

(

45

)

sin

(

30

)

The exact value of

cos

(

30

)

is

√

3

2

.

√

2

2

⋅

√

3

2

−

cos

(

45

)

sin

(

30

)

The exact value of

cos

(

45

)

is

√

2

2

.

√

2

2

⋅

√

3

2

−

√

2

2

sin

(

30

)

The exact value of

sin

(

30

)

is

1

2

.

√

2

2

⋅

√

3

2

−

√

2

2

⋅

1

2

Simplify

√

2

2

⋅

√

3

2

−

√

2

2

⋅

1

2

.

Tap for more steps...

√

6

−

√

2

4

The result can be shown in multiple forms.

Exact Form:

√

6

−

√

2

4

Decimal Form:

0.25881904

…