PAOLA GAVE AWAY 42 OF HER BOOKS SHE NOW HAS 150 BOOKS CALCULATE THE PERCENT CHANGE

HINT: how many books did she HAVE

please help me

Answers

Answer 1

Answer:

21.875%

Step-by-step explanation:

We need an equation to represent this problem,

Let x be the number of books she had before giving away 42 of them,

x - 42 = 150

To find out how many books she had before turn the problem around and add 42 with 150,

150 + 42 = x

⇒ x = 192

Now that you know that divide 42 by 192,

Let n be the quotient of 42/192

42/192 = n

⇒ n = 0.21875

Now to turn that into a percent move the decimal 2 spaces to the left,

0.21875

⇒ 2.1875

⇒ 21.875%

Therefore there was a 21.875% change.


Related Questions

Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84

Answers

-2y = 48 + 6x
-6x - 2y = 48 ——(1)

-6x + 9y = -84
-6x = -84 -9y ——(2)

Substitute (2) into (1):
(-84 -9y) -2y = 48
-84 -9y -2y = 48
-84 -11y = 48
-11y = 48 + 84
-11y = 132
y = - 12

Substitute y = -12 into (1):
-6x -2(-12) = 48
-6x + 24 = 48
-6x = 48 -24
-6x = 24
X = -4

ANS : y= -12, x= -4

Please show work thank you so much y’all

Answers

Answer:

a

Step-by-step explanation:

looked it up if u dondon't like the answer sorry

1
The point lies in which quadrant?
A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV

Answers

Answer:

Step-by-step explanation:

Since you did not include what the point is that you are trying to label, I can only tell you which quadrant is which. The quadrants go from 1 to 4 in a counterclockwise direction, starting from the top right quadrant (or the +,+ quadrant). One easy way to remember which direction the quadrants go in is the letter C, as they follow the same path as that letter.

I included a diagram to help.

Hope this helps! :)

help pls?!?!?
calculate the area of the following.

Answers

Answer:

580.4 cm^2 to the nearest tenth.

Step-by-step explanation:

If we draw a perpendicular line from the top right vertex to the base we split the figure into 2 triangles and a rectangle in the center.

Left side triangle:

base = √(28^2 - 20^2)    (using Pythagoras theorem

= 19.600

So its area = 1/2 * 19.6 * 20 = 196 cm^2.

Right side triangle:

Base = √(30^2 - 20^2) = 22.361

Area = 1/2 * 22.361 * 20 = 223.61 cm^2

Rectangle:

Base of rectangle = 50 - 19.6 - 22.361 = 8.039.

Area = 8.039 * 20 = 160.78.

So the area of the whole figure

= 196 + 223.61 + 160.78

= 580.39 cm^2.

find x. the whole question is- To what angle of depression should the security camera be adjusted in order to have lens aimed at point P on the ground?

Answers

Answer:

Hence, the security camera be adjusted in order to have the lens aimed at point. P. on the ground at an angle of depression of. x∘=30∘

Step-by-step explanation:

How to tell the difference between permutation and combination?.

Answers

Answer:

Permutation is an arrangement of things where order of arrangement matters. The position of each thing in a permutation matters. Thus, Permutation can be associated with Position.

Combination is grouping/selection of things where order does not matter. Permutation can be considered as an ordered combination.

Who the answer so ez to find

Answers

Mee

increase 31 kg by 100%

What is the balance after 3 years on a CD with an initial investment of $1,800.00 and a 2.75% interest rate?​

Answers

Answer:

$1952.62

Step-by-step explanation:

1,800(1+.0275)^3

= 1952.62

Pooja and Amit are playing a card game with a standard 52 card deck. Pooja will draw a card. If the card she draws is a face card (a jack, queen, or king), she will win $6. If Pooja draws an ace, she will win $4. If any other card is drawn, she will lose $2. The image below shows a standard deck of playing cards.
What is Pooja's expected value of playing this game?

Answers

The probability helps us to know the chances of an event occurring. Pooja's expected value of playing this game is 0.3077.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

There are 12 face cards, therefore, the probability of the getting a face card can be written as,

[tex]\text{Probability of face card }= \dfrac{12}{52} = 0.2308[/tex]

Also, the winning prize for drawing a face card is $6. Therefore, the expected value will be,

[tex]\text{Expected Value(Face)} = \$6 \times 0.2308= $1.3846[/tex]

There are 4 ace cards, therefore, the probability of the getting an ace card can be written as,

[tex]\text{Probability of ace card }= \dfrac{4}{52} = \dfrac{1}{13} = 0.077[/tex]

Also, the winning prize for drawing an ace card is $4. Therefore, the expected value will be,

[tex]\text{Expected Value(Ace)} = \$4 \times 0.077 = $0.3077[/tex]

There are 36 normal cards, therefore, the probability of the getting a normal card can be written as,

[tex]\text{Probability of normal card }= \dfrac{36}{52} = 0.6923[/tex]

Also, the losing prize for drawing a normal card is -$2. Therefore, the expected value will be,

[tex]\text{Expected Value(Normal)} = (-\$2) \times 0.6923 = -$1.3846[/tex]

Thus, Pooja's expected value of playing this game can be written as,

[tex]\rm Expected\ Value = 1.3846 + 0.3077-1.3846 = 0.3077[/tex]

Hence, Pooja's expected value of playing this game is 0.3077.

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6.
Use the Change of Base Formula to evaluate log base 4 20

Answers

Answer:

The answer with calculator would be 2.16096

1. Which expression below represents
"k more than 8"?
A 8k
B 8+k
C 8-k
D 8/k

Answers

Answer:

B. 8+k

Step-by-step explanation:

A variable is an undetermined number represented by a letter.

K is a variable.

The addition of more than is not a subtraction.

Therefore, the correct answer is B. 8+k.

I hope this helps. Let me know if you have any questions.

Which of the following is NOT a function?

A. {(3, 8), (3, 9)}
B. {(3, 6), (6, 12)}
C. {(3, 7), (7, 13)}
D. {(3, 16), (4, 31)}

Answers

Answer:

A. is NOT the function.

Step-by-step explanation:

In a function, 1 input (the 3) can not have two differnt ouputs (8 and 9) meaning that this is NOT a dunction.
I hope this helps! :)

Write the equation of the given line in slope-intercept form

Answers

Answer:

y = -3x -1

Step-by-step explanation:

Hi there!

We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)

We can use these points to help find the equation of the line, which we can write in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.

[tex]x_1=-1\\y_1=2\\x_2=1\\y_2=-4[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-4-2}{1--1}[/tex]

Simplify

m=[tex]\frac{-4-2}{1+1}[/tex]

m=[tex]\frac{-6}{2}[/tex]

Divide

m= -3

The slope of the line is -3

We can substitute this into the formula.
Here's our line so far:

y = -3x + b

Now we need to find b

As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b

Taking (-1, 2) for example:

Substitute -1 as x and 2 as y.

2 = -3(-1) + b

multiply

2 = 3 + b

Subtract 3 from both sides

-1 = b

Substitute -1 as b.

y = -3x - 1

Hope this helps!

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Find the equation of the line shown

Answers

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

We will use the point slope formula: [tex]y=mx+b[/tex]

We will start by finding the slope([tex]m[/tex]).
The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]

That's our slope.

Next we need to find the y-intercept([tex]b[/tex]). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

[tex]y=-\frac{1}{4}x+2[/tex]

Does this figure have symmetry?
E
CLEAR
CHECK
Yes, because if you fold it in half, both halves match up.
Yes, because if you rotate it 90 degrees, the figure carries
onto itself.
No, because if you fold it in half, both halves do not match
up
No, because if you rotate it 180 degrees, it does not carry
onto itself.

Answers

Answer:

The Letter E has 1 line of symmetry. (Horizontal)

Step-by-step explanation:

Yes, because if you fold it in half (horizontally), both halves match up.

at which angles are the x and y coordinate on the unit circle exactly the same? give your answer in radians and degrees

Answers

Answer:

In radian :

[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]

In degree :

45° and 225°

Step-by-step explanation:

the x and y coordinate on the unit circle exactly the same at the angles :

In radian :

[tex]\frac{\pi }{4} \ \text{and}\ \frac{5\pi }{4}[/tex]

In degree :

45° and 225°

At those angles :

[tex]\left( x,y\right) =\left( \frac{\sqrt{2} }{2} ,\frac{\sqrt{2} }{2} \right) \ or\ \left( x,y\right) =\left( -\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} \right)[/tex]

Type the correct answer in each box.

Ella rolls a dle and then flips a coin. The sample space for this compound event is represented in the table (H is heads and Tis tails). Complete

the table and the sentence beneath it.

Die

1

2.

3

4

5

6

heads

H-1

H-2

H-3

H-5

H-6

Coin

tails

T-1

T-3

T-4

T-5

The size of the sample space is

Hi

Answers

The size of the sample space would be  { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }.

What is the sample space for a random experiment?

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

         tails T-1 T-3 T-4 T-5

The size of the sample space

= { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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Answer:

hope this works for u

Step-by-step explanation:

Giving 100 points


The dot plot below shows the hourly rate of some babysitters in a city:

A number line is shown from 1 dollar to 5 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollar per hour. There are 4 dots above 2 dollars, 2 dots above 3 dollars, 3 dots above 4 dollars, and 1 dot above 5 dollars. The title of the line plot is Babysitting Rates.

Which statement best describes the shape of the data?

It is symmetric and has a peak at $5.00.
It is not symmetric and has a peak at $2.00.
It is a cluster from $1.00 to $5.00 and has gaps.
It is a cluster from $1.00 to $5.00 and has no gaps.

Answers

Answer:

It is not symmetric and has a peak at $2.00

Step-by-step explanation:

$2.00 has 4 dots while the others have less

in order for it to be symmetric:

1 and 5 would need the same amount2 and 4 would need the same amount3 could be whatever

it is also not clustered from $1.00 to $5.00 because $1.00 has no amount

There are no gaps as $1.00 has no amount

Answer:

It is not symmetric and has a peak at $2.00

Step-by-step explanation:

hope i helped you very much

5 If the standard deviation of a distribution 3.2, find the varience correct to the nearest whole number​

Answers

Answer:

Step-by-step explanation:

variance = (S.D)^2

=3.2^2

=10.24

=10

therefore , varience of a distribution is 10

PLS HELP
What is the median of this data set?

Answers

Answer:

$3.50

Step-by-step explanation:

add up all the x's and distribute them starting from the outside until you get to the middle. if there is an odd number of x's (which there isn't), the last x to be placed will be on the spot that is the median. If there is an even number of x's, and they both land on the same spot, that spot will be the median, and if they are next to each other, the median will be between them.

What is 0.47 expressed as a fraction in simplest form?
(SHOW WORK)

Answers

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

[tex]\frac{0.47}{1}[/tex] = [tex]\frac{0.47 x 100 } {1x100}[/tex] = [tex]\frac{47}{100}[/tex]

So, 0.47 as a fraction  in simpliest form equals 47/100

Which expression is equivalent to startfraction 4 a 4 over 2 a endfraction times startfraction a squared over a 1 endfraction?

Answers

The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a

How to Simplify Fractions?

We want to simplify the expression;

[(4a + 4)/2a] * [a²/(a + 1)]

This expression can be further reduced to;

[(4a + 4)/2] * [a/(a + 1)]

Factorizing the numerator to get;

[(4(a + 1)/2] * [a/(a + 1)]

(a + 1) will cancel out to get;

2a

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help. I can't do maths again​

Answers

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

[tex]\frac{x}{sin46}[/tex] = [tex]\frac{20}{sin94}[/tex] ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = [tex]\frac{20sin46}{sin94}[/tex] ≈ 14.4 cm ( to the nearest tenth )

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

[tex]\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}[/tex]

a,b,c are side lengths.R is radius so 2R is diameter.A,B,C are angles.

Given angles are:

40°, 46°

Definition of Euclidean Triangle:

Sum of three interior angles equals 180°

Find another angle:

40°+46°+B = 180°86+B = 180B = 180-86B = 94°

So another angle is 94°.

To find:

Value of x

Determine:

A = 46°a = x cmB = 94°b = 20 cm

Therefore:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}[/tex]

Multiply both sides by 20x:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}[/tex]

Divide both sides by [tex]\displaystyle \large{\sin 94^{\circ}}[/tex]:

[tex]\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}[/tex]

Evaluate the expression, hence:

[tex]\displaystyle \large{x = 14.42...}[/tex]

Round to nearest whole number:

[tex]\displaystyle \large{x = 14}[/tex]

Therefore, the value of x is 14 cm.

Which equation represents a line that passes through (–9, –3) and has a slope of –6? y – 9 = –6(x – 3) y 9 = –6(x 3) y – 3 = –6(x – 9) y 3 = –6(x 9)

Answers

Answer:

Y+3=-6(x+9)

Step-by-step explanation:

Got it right on usa test prep

If a. sub n. is a geometric sequence with a. sub 1 is equal to 10. and a. sub 5 is equal to 810. , find r., the common ratio.


a. 1/3
b. 3
c. 81
d. 1/81

Answers

A geometric series is the sum of an unlimited number. The common ratio of the geometric sequence is 3.

What is geometrical series?

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

Given the value of a₁ is 10, while the value of a₅ is 810, therefore, the common ratio can be written as,

[tex]\dfrac{a_5}{a_4} \times \dfrac{a_4}{a_3} \times \dfrac{a_3}{a_2}\times \dfrac{a_2}{a_1} = r \times r \times r \times r\\\\\\\dfrac{a_5}{a_1} = r^4\\\\\\dfrac{810}{10} = r^4\\\\\sqrt[4]{81} = r\\\\r = 3[/tex]

Hence, the common ratio of the geometric sequence is 3.

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Two times a number added to the other number is 25. Three times the first numb
minus the other number is 20. Find the numbers.

Answers

Answer:

First number = 9

Second number = 7

Step-by-step explanation:

Let x be the first number and y be the second.

2x + y = 25

3x - y = 20

1) Add them together.

5x = 45

x = 9

2) Solve for y.

2(9) + y = 25

y=7

3) Check your work on the other equation.

3(9) - (7) = 20

27 - 7 = 20

20 = 20

Therefore the first number is 9 and the second number is 7.

PLEASEE HELPPP!! The figure below is made of 2 rectangular prisms.
What is the volume of this figure?

Answers

Answer:

176 cubic cm

Step-by-step explanation:

[tex](2 \times 8 \times 2) + (3 \times 6 \times 8) = 32 + 144 = 176[/tex]

Two speeds are in the ratio 12:5 . If the first speed is 8km/h . what is the second speed?

Answers

Write two ratios equal to each other :

12/5 = 8/x(second speed)

Cross multiply:

12x = 40

Divide both sides by 12:

X = 3.333 or 3 1/3 km/h


second speed = 3.33 ( as a decimal) or 3 1/3 ( as a fraction) km/h

Algebra 1 8.2 worksheet answers

Answers

The graphs and their functions/equations are all illustrations of quadratic functions.

What are the zeros of a function?

The zeros of a function of a graph are the points where the line or curve of the graph crosses the x-axis

What is the axis of symmetry?

The axis of symmetry of a graph is the line that divides the graph into equal  halves

What is the vertex of a function?

The vertex of a function is the minimum or the maximum point on the graph

The vertex of a quadratic function is minimum if it opens upward, otherwise the vertex is maximum

Using the above definitions, the solutions to the worksheet are:

Graph 1

Zeros: -4 and 0Axis of symmetry: x = -2Min or Max: MaximumVertex: (-2, 4)

Graph 2

Zeros: 2Axis of symmetry: x = -2Min or Max: MinimumVertex: (-2, 0)

Graph 3

Zeros: -3 and 3Axis of symmetry: x = 0Min or Max = MinimumVertex: (0, -9)

Graph 4

Zeros: -5 and -3Axis of symmetry: x = -4Min or Max = MaximumVertex: (-4, -1)

Graph 5

Zeros: 3 and 7Axis of symmetry: x = 5Min or Max = MinimumVertex: (5, -4)

Graph 6

Zeros: NoneAxis of symmetry: x = 24Min or Max = MinimumVertex: (2, 5)

Graph 7

Zeros: 1 and 5Axis of symmetry: x = 3Min or Max = MinimumVertex: (3, -4)

Graph 8

Zeros: -2 and 0Axis of symmetry: x = -1Min or Max = MaximumVertex: (-1, 1)

Graph 9

Zeros: 5Axis of symmetry: x = 5Min or Max = MinimumVertex: (5, 0)

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Reflect the triangle in the x-axis

Answers

I think this might helpful

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