The library owns 80,000 books. 90% of the books are fiction books. How many fiction books does the library own?

Answer: D

Step-by-step explanation: They are greater than the lengths of the sides of the base.

We will need 7 quart package if we want 62 strawberries

What is division?

Division is one of the basic arithmetic computation which divide a value in equal sets of smaller values. The other basic arithmetic computations are addition, subtraction, multiplication. We use long division method to find the quotient and remainder.

We are given that there are 9 strawberries in a quart package

Also we want 62 strawberries

Then how many quart will be required

Now we perform division to find the number of quart

62/9 = we get a value of 8.88

Which is very close to nine

Hence we will need 9 quart packages if we want 62 strawberries

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Answer:

(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

to find the y values, plug in the given x values into the equation y= 4x+7

when x = 0

y = 4(0) + 7

y = 0 + 7

y = 7

so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)

when x = 1

y = 4(1) + 7

y = 4 + 7

y = 11

so the y value that corresponds to the x value 1 is 11; also written as (1, 11)

when x = 2

y = 4(2) + 7

y = 8 + 7

y = 15

so the x value 2 corresponds to the y value 15; also written as (2 , 15)

hope this helps

Answer:(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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Answer:

114.29

Step-by-step explanation:

In linear equation, No of Adults = 2,179, No of Children = 3,221 .

What in mathematics is a linear equation?

Let Number of Adult admission be x

    Number of children's admission be y

Total tickets were sold = 5400

so x+y= 5400  ....... eq 1

One adult ticket costs $5.50 ,so total Adult ticket costs = 5.50x

One Child ticket costs $ 3.50, so total Children tickets cost= 3.50 y

receipt totaled = $23,258

so 5.50x+3.50y= $23,258....... eq 2

multiply 5.50 to the  eq 1, we get,

5.50x +5.50y = 29,700...... eq 3

subtract eq 2 from eq 3, we get,

5.50y-3.50y = 29,700- 23,258

2y= 6,442

divide by 2 both sides ,we get, y= 3,221

substitute the value of y in eq 1, we get,

x+ 3,221 =5400

x= 5400- 3221

x= 2,179

No of Adults = 2,179, No of Children = 3,221

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Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

Harper would take the Total Bill after tax and mutiply it by 0.16.

The formula for this would be

Total Bill = x

Tip = 16% -> 16/100 = 0.16

So

0.16x

Answer:

Let the initial number of boys and girls be 600 and 800 respectively, so that

(no. of boys) : (no. of girls) = 6:8.

Final number of boys (Fb) = 600+ 20% of 600 = 720

Final number of girls(Fg)  = 800+ 10% of 800 = 880

The new ratio = Fb / Fg = 720 / 880 = 9/11 = 9:11

So, the new ratio will be 9 : 11

x = 6 is the value of x does f(x) = 2.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Here, we have

Given function:  f(x) = −1 + 0.5x

We have to find the value of x does f(x) = 2.

For this, we put the different values of x and see what value satisfies the given function.

For x = -6

f(x) = −1 + 0.5(-6)

f(x) = -4

For x = 5

f(x) = −1 + 0.5(5)

f(x) = 1.5

For x = 6

f(x) = −1 + 0.5(6)

f(x) = 2

Hence, x = 6 is the value of x does f(x) = 2.

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Answer:

The answer to the question is C

Answer:

-3

Step-by-step explanation:

Substitute -1 for x in the expression 2x-1

2*-1-1

-2-1

-3

Answer:

-3

Step-by-step explanation:

Answer:

a =5/9 b=1/3 c=1/9 d=8/9

Step-by-step explanation:

there are total 9 numbers

in a

there are 5 odd numbers

in b

there are 3 multiplier of 3

in c

there is only one 5

in d

there are 8 numbers except 7

a) 5/9 b) 1/3 c) 1/9 d) 8/9

Step-by-step explanation:

a) odd numbers between 1 to 9 are 1,3,5,7,9. so there are 5 odd numbers.

total balls are 9

=> probability is 5/9

b) multiples of 3 = 3, 6,9 there are 3 numbers.

=> probability is = 3/9 = 1/3

c) 5. only one 5 is there between 1 to 9 numbers.

=> probability is 1/9

d) not a 7.

removing 7. there will 8 numbers.

=> probability is 8/9

Answer:

Im sorry what?

Step-by-step explanation:

Answer: \(-3y^{2} +5x+2\)

Step-by-step explanation:

\(-3y^{2} +2x+2+3x\\2x+3x=5x\\\)

that is all that you can combine so it makes the answer \(-3y^{2} +5x+2\)

Answer:

1) No

2) yes

3) no

Step-by-step explanation:

1)

\( \sqrt{5} \)

It cannot be simplified

2)

\( \sqrt[3]{8} \)

\( \sqrt[3]{(2) {}^{3} } \)

\(2\)

It can be simplified

3)

\( \sqrt{3} + 5\)

It cannot be simplified

Answer:

281-282

Step-by-step explanation:

Answer:

The answer is B) 152

Step-by-step explanation:

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

The number of adult Pacific newts made their annual migration = 13800

Roughly 2/5 didn't survive the trip

Then the number of newts didn't survive = 13800×(2/5)

= 13800×0.4

= 5520 newts

To find the number of newts survived, we have to use subtraction

The number of newts survived crossing the road = 13800-5520

= 8280 newts

Hence, If 13800 adult Pacific newts made their annual migration between November 2020 and March 2021, Roughly 2/5 didn't survive the trip, then the number of newts survived crossing the road is 8280 newts

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Answer:

The estimated probability that Harriet will eat pizza for lunch every day next week is 5/10 = 50%

The simulation is represented as:

The above means that the simulation that represents when she eats pizza for lunch must have all its digits to be from 2 to 9.

The results that represent eating pizza for lunch are:

73676 45467 95592 82739 38448

The count of the result is 5.

Hence, the probability is 5/10 = 50%

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The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

Width of the frame = 1 in

Explanation:

Given the dimension of the photo to be 10in by 8in, then the area of the photo will be;

Then the area of the frame can be determined as;

Let the width of the frame be w, we can determine the value of w as follows;

We have to solve the resulting quadratic equation by finding two factors of -10 whose sum will give +9, the numbers are 10 and -1.

We can then split the middle term of the quadratic equation as follows;

So we'll go with the positive number, w = 1

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

\((\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\qquad \qquad m = -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-3}(x-\stackrel{x_1}{4})\implies y+1=-3(x-4) \\\\\\ y+1=-3x+12\implies \stackrel{\textit{slope-intercept form}}{y=-3x+11}\)

does it pass through the origin?  well, we could draw it, or we can just check that, the origin is at 0,0, or namely when x = 0, y = 0, let's see if that's true, let's make x = 0, let's see what we get for "y".

y = -3(0) + 11 => y = 11

woops, no dice, y ≠ 0, so nope, doesn't pass through the origin.

9514 1404 393

Answer:

   yes

Step-by-step explanation:

The triangles are given as right triangles. Hypotenuses QT and RS are given as congruent.

We also have XS ≅ TP. By the addition property of equality, this means ...

  XS +ST ≅ ST +TP

By the segment sum theorem, this means ...

  XT ≅ SP

XT and SP are the corresponding legs of the right triangles. So, we have corresponding hypotenuses and corresponding legs congruent. This lets us conclude ΔXQT ≅ ΔPRS by the HL theorem.

Answer:

The graph will shift 3 units down

Answer:

Step-by-step explanation:

x = 5

Solution of 1/4 (x-3) ≤ -2 is x ≤ 5 . The value of x will be less than or equal to 5 .

Graph is attached below.

Given,

1/4 (x-3) ≤ -2

Now,

Inequality : 1/4 (x-3) ≤ -2

Solve for x,

x - 3 ≤ -8

Take -3 from LHS to RHS.

-3 will be converted to 3 in RHS .

x ≤ -8 + 3

x≤ -5

The value of x will be less than or equal to -5.

The graph of inequality is attached below and represents the the value of x is less than or equal to 5 .

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