Reflection and Rotation
A. Preserve
B. Do not Preserve

ABC is
A. Equal to the
B. Twice the
C. Not related to the
D. Three times the

And AC is
A. 8,9, and 13
B. 7,9 and 10
C. 2, 14, and 10
D. 8,9 and 10

The number of fiction and non fiction books are 10 and 2 respectively.

There are 5 times as many fiction books in the class library as there are nonfiction books.

Therefore,

let

x = number of non fiction book.

number of fiction book = 5x

The number of information books is 7 more than the sum of the number of fiction and nonfiction books.

Therefore,

number of information book = 7 + x + 5x

number of information book = 7 + 6x

There are 19 information books in the library.

Hence,

19 = 7 + 6x

19 - 7 = 6x

6x = 12

x = 12 / 6

x = 2

Therefore,

The number of non fiction book = 2

The number of non fiction book = 5(2)  = 10

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The percentile rank of a value with a z-score of 1.33 as given in the task content is; 9.18% (10th percentile).

It follows from the task content that the percentage rank of.the value whose z-score is; 1.33 as in the task content is to be determined.

As evident in the image attached (z-score table) , it can be inferred that a z-score of 1.33 corresponds to 40.82% on the table.

Also, since the z-score is positive, the percentage of data values which are above the z score 1.33 is 50% - 40.82%.

And ultimately, the percentile rank of a value which has a z-score of 1.33 as given in the task content is therefore; 9.18%.

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Answer:

£75 > £70 Therefore Sally is wrong.

Step-by-step explanation:

1. First we need to find the volume of the sand pit  

     60x40x100= 24,000[tex]cm^{3\\[/tex]

 Volume= 24,000[tex]cm^{3\\[/tex]

2. We need to convert 8 liters to [tex]cm^{3\\[/tex] so, all the units are the same

     1 liter= 1,000[tex]cm^{3\\[/tex]

     8 liters= 8,000[tex]cm^{3\\[/tex]

3. We then do 24,000[tex]cm^{3\\[/tex] divide by 8,000[tex]cm^{3\\[/tex] to see how many bags, we need

    24,000[tex]cm^{3\\[/tex]/ 8,000[tex]cm^{3\\[/tex] = 30

so, Sally needs 30 bags

4. We know one bag cost £2.50 to know how much 30 bags cost we do

   £2.50 x 30 = £75

so, we know 30 bags cost £75

5. Sally statement was said that it would cost less than £70 which is false as it costs £75

6. Therefore the final answer is £75>£70 so Sally is wrong.

Answer:

see below

Step-by-step explanation:

In order to calculate the composite function (gow)(x), that is, g(w(x)), we need to use w(x) as the input (value of x) in the function g(x).

So we have:

Now, calculating (wog)(x), we have:

Based on the number of equal parts that Lester divided the cake into such that each family member got 1/6 of the whole pie, the proportion of the part of the leftover pie that Lester brought home was 2 / 3

Lester brought back part of some pie from the Sweet Slice pie shop, and then divided it into 4 equal parts for his family. This led to the family getting 1/6 of the pie each.

To find out how much of the total pie that Lester brought back from Sweet Slice pie shop, you need to add the proportions received by his family:

= 1 / 6 + 1 / 6 + 1/ 6  + 1/6

=  4 / 6

At the simplest form this is:

= 4 / 6

= 2 / 3

Rest of the question is:

How much of the pie had Lester brought back from the pie shop?

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For given triangle, the value of x is 22.

In this question, we have been given three angles of triangle.

We need to find the value of x.

We can observe that (6x - 7)° is an exterior angle.

So, the third angle of the triangle is 180° - (6x - 7)°

We know that the sum of the all angles of the triangle is 180°

2x° + (103 - x)° + [180° - (6x - 7)°] = 180°

2x + 103 - x + 180 - 6x + 7 = 180

2x - x - 6x + 103 + 180 + 7 = 180

-5x + 290 = 180

-5x = 180 - 290

-5x = -110

x = 22

Therefore, for given triangle, the value of x is 22.

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Answer: 1.662E-7 square kilometers

Step-by-step explanation:

A circle of radius = 23 or diameter = 46 or circumference = 144.5 cm has an area of: 1.662E-7 square kilometers (km²) 0.1662 square meters (m²)

Answer:

[tex]a_5 = \frac{17}{20}[/tex]

Step-by-step explanation:

Use the general progression formula where

[tex]d=\frac{3}{20}\\a_n=\frac{1}{4}+\frac{3n-3}{20}[/tex]

Solving this for the 5th term returns the answer

[tex]a_5=\frac{17}{20}[/tex]

The difference between the expressions (2n -9) - (2.4n +4) is -0.4n-13

An algebraic expression can be defined as an arithmetic expression made up of variables, coefficients, terms, factors and constants.

They are also known to be composed of mathematical operations which may include;

Given the expressions;

Let's determine their difference

(2n -9) - (2.4n +4)

expand the bracket

2n - 9 - 2.4n - 4

collect like term

2n - 2.4n -4 -9

Subtract like terms

-0.4n - 13

Hence, the difference is -0.4n - 13

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The Value of X = 7.16 ( approximate value)

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Possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.

As given in the question,

Distance covered by toy cart before stopping =15.6

Percentage of error found in calculation= 30%

30% of 15.6

= (30/100) × 15.6

= 4.68cm

Possible value for the actual distance that toy cart rolled before stopping

= Calculated distance - error distance

= 15.6 -4.68

=10.92centimeters

Therefore, possible values for the actual distance that the toy cart rolled before stopping with 30% error in the calculation conducted earlier is equal to 10.92centimeters.

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Answer:

-1.5,-3,-16,011

Step-by-step explanation:

that is the answer as u know it has negative sign and -3 is smaller

Answer: -6, -3, -1.5, 0, 11

Step-by-step explanation:.

Answer:

If p(x) = ax²

-3x+10

p(-2) =

f(g(-2))

The number of students in Señora Clara  is 300 students

20% of Señora Clara's students are going to Spain for a semester

60 students are going to spain

The number of students in  Señora Clara can by first calculating the percent of 20

20/100

= 0.2

Next is to divide 0.2 by 60

60/0.2

= 300

Hence there are 300 students in Señora Clara

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Answer:

-9

Step-by-step explanation:

16-25=-9

Answer: -9

Step-by-step explanation:

value of a2+a4+a6+……+a98 IS EQUAL TO 93.

Given, the common difference (d) =1

Let a1=a Given, a1+a2+……+a98=137

⇒(98/2)(2a+97)=137    [Sn=n/2[2a+(n−1)d]

⇒2a+97=137/49…eq.(1)

a2+a4+…+a98    (n=49 terms)

a2+a4+…+a98=49/2(a2+a98)

a2+a4+…+a98=49/2[(a+1)+a+97]

a2+a4+…+a98=49/2[2a+97+1]

a2+a4+…+a98=49/2[(137/49)+1] [using eq. 1]

a2+a4+…+a98=137/2+49/2

a2+a4+…+a98=186/2 =93

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Answer:

1

Step-by-step explanation:

Flip 10/25 to become 25/10 and times it by 2/5

Answer:

take x=1

2(1)-y=9

2-y=9

-y=9-2

y= - 7

= (1,-7)

Answer:

Step-by-step explanation:

1 . In the given triangle ΔNBA BO is a median.
By applying the property of median it divides the opposite side into two equal parts.
Therefore,
NO = OA ...(a)
We have,
NO = x+3 and OA = 2x-9

from (a)
NO = OA
x+3 = 2x-9
∴ 3+9 = 2x-x
∴ x = 12
∴ The Value of x is 12.

Que 2 - In ΔMTV
Given - TP is an angle bisector
             m∠MTP = 12 , m∠MTV = 3x - 3.
Ans - TP is an angle bisector which means it divides the angle into two equal parts. (By angle bisector theorem)
∴ m∠MTP = m∠VTP ..... (a)
m∠MTV = m∠MTP + m∠VTP
∴m∠MTV = 2(m∠MTP)
∴3x-3 = 2(12)
∴3x-3 = 24
∴3x = 24 + 3
∴3x = 27
∴ x = 27/3
∴ x = 9
∴ The Value of x is 9.

Answer:

a) No equation/Contradiction

b) One Solution/Conditional

c) Infinite Solutions/Neither

Step-by-step explanation:

a) you combine like terms: 7x+9=7x-8

    then subtract 7x from both sides, since 9 isn't equal to -8 there is no solution that would make it a contradiction

b) Combine likes: 13x-7=12x+21

    subtract 12 x: x-7=21

    add 7: x=14

c)  Combine like terms: -3x+24=-3x+24

     24=24

Answer:

No, he can only make 48 sliders with 7 pounds of ground beef.

He would need about 12 pounds to make 78 sliders

Step-by-step explanation:

Answer:

If I assume that I can use x to mean "all real numbers that are less than -3 or greater than or equal to 5",

Then I can write this as follows: x<-3 and x>=5

This includes all whole numbers (or integers), all fractions (or rational numbers), and all numbers that cannot be expressed as fractions such as pi, or the square root of 29 (or irrational numbers).

Answer:

75deg

Step-by-step explanation:

the angle for the entire thing is 131 degrees. Since you are given angle 1 you can subtract that value from the whole to find the remaining degrees. So 131-56=75

The transformation is:

g(x) = -f(x) - 4

So is a reflection across the x-axis followed by a translation of 4 units downwards.

Here we have the two functions:

f(x) = 3x + 1

g(x) = -3x - 5

So we start at f(x), first we apply a reflection across the x-axis so we change the sign to get:

g(x) = -f(x) = -3x - 1

Now we can apply a translation of 4 units downwards so we get:

g(x) = -f(x) - 4 = -3x - 1 - 4 = -3x - 5

And in this way we transformed f(x) into g(x).

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Answer:

-6(y+3)

Step-by-step explanation:

The value of m + n from getting the values of m and n from the constant polynomial P(x) = (2m - 4)x² + (5 - n)x + 13 is; 7

A constant Polynomial is defined as a polynomial is a function of the form f(x) = a

where a is a real number, whose highest degree is zero.

Thus, examples of constant Polynomials are f(x) = 5, g(x) = -11 , h(y) = 7/4

Now, we are given the polynomial expression;

P(x) = (2m - 4)x² + (5 - n)x + 13

From the definition of constant Polynomials, we can say that;

2m - 4 = 0 and 5 - n = 0

Thus;

m = 2 and n = 5

Then, m + n = 2 + 5 = 7

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The value of x is 26° and y is 9°.

A pair of neighboring angles created by the intersection of two lines is known as a linear pair of angles. When two angles share a vertex and an arm but do not overlap, they are said to be adjacent angles. Due to their formation on a straight line, the linear pair of angles are always complementary. So, the total of two angles in a pair of lines is always 180 degrees.

The value of x and y are : x= 26° and y= 9°.

As a linear pair, (5x - 17)° + (3x - 11)° = 180°.

or, 8x - 28°= 180°

8x = 180° + 28°

Therefore, the value of x is 26°.

Now,

3x - 11°= 3×26°-11° = 67°

Again,

67°+90°+(2y+5)° = 180° { being linear pair}.

157°+2y+5° = 180°

or, 2y + 162° = 180°

or, 2y = 180° - 162°

y =

Therefore, the value of y is 9°.

The value of x is 26° and y is 9°.

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