In January Mr.Tan's students read 20 books. In February, they read 15 books. What is the percent increase or decrease in the number of books the read?

Answers

Answer 1

Answer:

there is a 25% decrease in books being read


Related Questions

Tanya has a garden with a trench around it. The garden is a rectangle with a length of 2 1/2 m and width 2 m The trench and garden together make a rectangle with length 3 1/2 and width 3m

Find the area of just the trench.

Answers

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30

Answers

Answer:

2.5%

Step-by-step explanation:

Given :

Mean, μ = 190

Standard deviation, σ = 30

Probability that more than 250 books are borrowed ;

x = 250

P(Z > z)

Z = (x - μ) / σ

P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]

P(Z > z) = P(Z > 2)

P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725

P(Z > 2) = 1 - P(Z < 2) = 0.02275

(0.02275 * 100)% = 2.275%

2.5% is closest to 2.275%

The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?

Answers

Answer:

$95.52

Step-by-step explanation:

Number of robots = 3

Cost of each robots = $398

Tax rate = 8%

Amount of tax of each robots = 8% of $398

= 8/100 × $398

= 0.08 × $398

= $31.84

TOTAL TAX to be paid = Amount of tax of each robots × Number of robots

= $31.84 × 3

= $95.52

TOTAL TAX to be paid = $95.52

Instructions: Point T is the centroid. Find TE if XE= 21.

Answers

Answer:

TE = 7

Step-by-step explanation:

The centroid divides a median in this ratios 1/3 and 2/3. In particular

XT = 2/3 XE

XT = 2/3 * 21

XT = 14

TE = 7

5x
If f(x) = 5x and g(x)= 5x/3, find f(x) divided by g(x).

A. 1/3

B. 3

C. 3/25x^2

D. 25x^2/3

Answers

i think its b Step-by-step explanation:

[tex] \frac{5x}{ \frac{5x}{3} } = \frac{15x}{5x} = 3[/tex]

Given the function f(x)= (x+3)^2 determine the value of f^-1 (49) include a complete solution

Answers

Answer:

Step-by-step explanation:

taking the inverse is essentially saying

x = (f(x) + 3)^2

root(x) - 3 = f(x) and -root(x) -3 = f(x)

(you have to take both the positive and negative roots)

plug in 49 for x and get 4 and -10.

The value of the inverse function, to the function f(x) = (x + 3)², at f(x) = 49, is; f⁻¹(49) = 4

What does the inverse notation f⁻¹(x) represents?

The notation f⁻¹(x) represents the inverse of the function f(x). The inverse function, f⁻¹(x) undoes the the effect of the function f(x), meaning, that if y = f(x), then x = f⁻¹(y)

The value of f⁻¹(49) for the function, f(x) = (x + 3)² is the x-value, such that f(x) = 49, which can be obtained by solving the equation f(x) = (x + 3)², for x as follows;

Taking the square root of both sides of the equation, we get;

√(f(x)) = √((x + 3)²)

√(f(x)) = (x + 3)

Subtracting 3 from both sides, we get;

√(f(x)) - 3 = x + 3 - 3 = x

√(f(x)) - 3 = x

The above function is the inverse function, f⁻¹(x) that takes an output value, f(x), to produce the corresponding input value, x of the original function;

The inverse function, f⁻¹(x) = √(f(x)) - 3, takes the original output, f(x) to produce the original input x

When the output value is f(x) = 49 we get;

f⁻¹(49) = √(49) - 3 = ±7 - 3

Restricting the domain of the original function, f(x) to (x + 3) ≥ 0, or x ≥ -3, so that its inverse is also a function and produces only one value, we get;

f⁻¹(49) = 7 - 3 = 4

f⁻¹(49) = 4

Learn more on the inverse of a function here: https://brainly.com/question/1559611

#SPJ2

!!!!!!URGENT!!!!!
Two similar rectangles have a proportional coefficient of 1:2, and the perimeter of the smallest one is 80 m, find the
perimeter of the small rectangle

Answers

Answer:

160m

Step-by-step explanation:

Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.

Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.

Therefore, for our case, we multiply the smaller rectangle by 2.

Hence;

(80 × 2)m

= 160 m

NB:

The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.

find the midpoint between this pair of points (-4,10) and (14,0)

Answers

Answer:   (5, 5)

Explanation:

The x coordinates are -4 and 14. They add up to -4+14 = 10. Then this cuts in half to get 10/2 = 5. This is the x coordinate of the midpoint.

We'll follow this same idea for the y coordinates as well.

10+0 = 10 which cuts in half to 10/2 = 5, and this is the y coordinate of the midpoint.

Therefore, the midpoint is (5,5).

Coincidentally, the x and y coordinates are the same for the midpoint (both are 5). This won't always happen.

The diagram shows a square with side length 5cm.

The length of the diagonal is y cm.
Find the exact value of y.

Answers

Answer:

5sqrt2

Step-by-step explanation:

Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.

Find the slope
of the line passing through the points (3, 4)
and
(8, -3).

Answers

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty ​

Answers

I think these are the correct answers
45. 13/36
46. 86/63
47. 19/42
48. 17/30

Answer:

45:13/36

46:86/63

47:19/42

48:9/10

49:1/12

Can someone help me with this please

Answers

Answer:

.574

Step-by-step explanation:

This can be inputted in a calculator to achieve .57357643

To three decimal places that is .574

Write the set of non-negative integers in the inequality 2x < 4.

Answers

Answer:

The set [tex]S[/tex] of non-negative integers in the inequality [tex]2x < 4[/tex] is

[tex]S = \{0, 1\}[/tex]

Step-by-step explanation:

The non-negative integers are given as [tex]\mathbb{Z}_{\ge 0} = \{ 0, 1, 2, \ldots \}[/tex]

For the inequality [tex]2x < 4[/tex], we have

[tex]2x < 4 \implies x < \dfrac{4}{2} \implies x < 2[/tex]

Therefore,

[tex]x\in \mathbb{R}:x\in(\infty, 2)[/tex]

Note: 2 is not included

The integers are

[tex]\ldots -2, -1, 0, 1[/tex]

And the non-negative integers are

[tex]0, 1[/tex]

The measure of two complementary angles are 2x degree and 3x degree, then value of x is​

Answers

Answer:

2x+3x=90

or ,5x=90

or,x=90/5

X=18

Answer:

90/5=18 degrees

Step-by-step explanation:

HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18

Answers

Answer:

Hello the answer is 5x - y = 30!

Step-by-step explanation:

m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3

y = mx + b

O = (5/3)(6) + b

O = (30/3) + b

O = 10 + b

-10 = b

3y = 5x - 30

3y + 30 = 5x

5x - 3y = 30

Instructions: Find the missing side. Round your answer to the nearest
tenth.
58°
х
22
X=

Answers

Answer:

35.2

Step-by-step explanation:

tan(58) = x/22

or, x = 22×tan(58)

or, x = 35.2 (rounded to the nearest tenth)

Answered by GAUTHMATH

similar right triangles, i need help with this please

Answers

Answer:

Step-by-step explanation:

the answer is a)

Jack rides his bike 4 miles in 1/3 of an hour. What is jack unit rate in miles per hour?

Answers

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.


Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression
that can be used to determine the final cost of the DVD. HELP URGENTLY PLEASE

Answers

Answer:

If u add the number it will show u te answer which is 7

Step-by-step explanation:

Pam and Amanda and Mike work at different clothing stores. Amanda made twice what Pam earned and Julie
made $90 more than Amanda. If their total earnings for a week are $995, how much did each person make?

Answers

Answer:

Pam: $181

Amanda: $362

Julie: $452

Step-by-step explanation:

(What does Mike have to do with this problem?)

Let a = Amanda's pay

Let p = Pam's pay

Let j = Julie's pay

"Amanda made twice what Pam earned"

a = 2p

"Julie made $90 more than Amanda"

j = a + 90

j = 2p + 90

Pam earned p

Total salary

a + p + j = 2p + p + 2p + 90

Total salary

$995

2p + p + 2p + 90 = 995

5p = 905

p = 181

a = 2p = 2(181) = 362

j = 2p + 90 = 362 + 90 = 452

Answer:

Pam: $181

Amanda: $362

Julie: $452

On a world ​, the distance between city A and city B is 5,625 inches. The two cities are actually 1688 miles apart. On the same ​, what would be the distance between city C and city​ D, two cities that are actually 1296 miles​ apart? Use a proportion to solve this problem.

Answers

Answer:

The distance between C and D is 4.2768 inches.

Step-by-step explanation:

As from A to B the distance is 5.625 inches and actual is 1688 miles

so,

1 mile = 5.625/1688 = 0.0033 inches

So, the distance between C and D is 1296 miles

= 1296 x 0.0033 inches = 4.2768 inches  

If a point is chosen inside the square, what is the probability that it will also be inside the circle?

Answers

Answer:

[tex]79\%[/tex]

Step-by-step explanation:

The probability that the point is chosen in the circle is equal to the area of the circle divided by the area of the square.

Formulas used:

Area of a square with side length [tex]s[/tex] is given by [tex]A=s^2[/tex] Area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]

The segment marked as 1 represents not only the radius of the circle, but also half the side length of the square. Therefore, the side length of the square is 2, and we have:

Area of square: [tex]A=2^2=4[/tex]

Area of circle:

[tex]A=1^2\pi=\pi[/tex]

Therefore, the probability that the point will be inside the circle is:

[tex]\frac{\pi}{4}=0.78539816339\approx \boxed{79\%}[/tex]

cos(30 +x) =5/3 find x​

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

What is the slope of the line that contains these points? x- 31, 36,41,46 y- 10,8,6,4

Answers

[tex] - \frac{2}{5} [/tex]

Please help me solve this

Answers

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3

The graph of a relation is shown.
Which of these values could be the slope of the line?
Select two options.
-2
-8/5
0
7/4
3

Answers

Answer:

4th option, 7/4 and

5th option, 3

Step-by-step explanation:

The line seems like it will have a positive slope and will not be 0 since it's not passing through the origin

so, possible values are 7/4 and 3

Answered by GAUTHMATH

Answer: The answer would be 7/4, 3

Step-by-step explanation:

I’m practically begging someone please help me!!

Answers

My guys is is not just (5, -10)?

What is Index Law 2?
please give definition

Answers

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.

Answer:

The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.

Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.​

Answers

Answer:

Answer is in the picture.

m 2 = aº, m 3 = bº, m 41
a
b
a + b
a-b

Answers

Answer:

m,4+ a+b

Step-by-step explanation:

an exterior angle equals the sum of the 2 opposite interior angles

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