The school library has 2,469 books. Two-thirds of them are paperbacks. How many
books are paperbacks?

Answers

Answer 1

Answer:

2469 x 2/3= 1646

personally, I solve it by dividing the 2469 by 3 to get 1/3.

2469/3= 823

then, double it to get 2/3.

823x2= 1646


Related Questions

Find the area of the composite shape.
1,323 cm squared
1,209 cm squared
955.5 cm squared
1,029 cm squared

Answers

Answer:

4. A = 1029 cm²

Steps:

A = (35×21)+(21+2×3.5)×21/2

A = 735 + (21+7)×21/2

A = 735 + 28×21/2

A = 735 + 588/2

A = 735 + 294

A = 1029 cm²

what is 9 over 10 as an decimal

Answers

Answer: 0.9

Step-by-step explanation:

.9, as a percent its 90%

Here is an expression 3*2t.


Evaluate the expression when t is 1

Answers

Well if t is equal to 1, then it would be 3*2*1. And since the one can basically be disregarded, the answer would be 3*2

5b2+28=
b=1.5
PLEASE HELP ME!!!

Answers

if b is 1.5 then sub it into the equation
5(1.5)(2)+28
=15+28
=43

Answer:

39.25

Step-by-step explanation:

I am assuming that 5b2 means 5b to the power of 2.

5(1.5)^2+28

5(2.25)+28

11.25+28

39.25

An artist is painting flower pots that each require 1/32 gallon of paint. What is the maximum number of flower pots the artist can paint with 3/4 gallon of paint?

Answers

Answer:

24 flower pots

Step-by-step explanation:

Fraction of paint required per flower pot = 1/32

Number of pots that can be painted with 3/4 galoons of paint :

Total Fraction of paint had / fraction of paint required per flower pot

3/4 ÷ 1/32

3/4 * 32 / 1

(3*32) / 4

96 /4

= 24 flower pots

There are three small rounds of cheddar cheese in Grace’s refrigerator. She wants to bring a small wedge of cheese in her lunch every day for the next 12 days of school. If she wants to eat the same amount of cheese every day, how much cheese should she bring for lunch each day?

Solution:
Number Model:

Answers

Answer:

The one-fourth of one round of cheddar cheese

Step-by-step explanation:

Because if we cut every round in 4 equal pieces, 4x3=12, we will have 12 equal pieces of cheddar cheese.

Use the equation below to answer the division question. A/b+(1/4x1/b)=1/2 What is 1/2 divided by a/b?

Answers

Answer:

[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]

Step-by-step explanation:

[tex]\text{The given equation is:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]

[tex]\text{To find:}[/tex]

[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]

[tex]\text{From the given equation:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]

[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]

[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]

[tex]\implies \dfrac{4b- 2}{4b}[/tex]

[tex]\implies \dfrac{2b- 1}{2b}[/tex]

the product of 700 and 4000 expressed in scientific notation is

Answers

Answer:

caca

Step-by-step explanation:

caca

The answer is 2.8x10^6

guys help i only have 10 more minutes left ;-;

Answers

Answer:

20

Step-by-step explanation:

12 = 6/10 x

120 = 6x

x = 20

Please help! In the diagram below, lines l and k are parallel.




What is the measure, in degrees, of ∠ABC ?

Answers

Answer:

50

Step-by-step explanation:

x+95 = 4x-10 ( alternate angles)

or, 4x -x = 95+10

or, 3x = 105

x= 35

x+95 = 35+95 = 130

130 + ABC = 180 ( linear pair)

or, ABC = 180-130= 50

PLEASE HELP!! find the value of c

Answers

Step-by-step explanation:

step 1. so you want to convert a quadratic (ax^2 + bx + c) into a perfect square

step 2. therefore c is half of b then squared

step 3. (26/2)^2 = 169

step 4. (-22/2)^2 = 121

step 5. (-13/2)^2 = (-6.5)^2 = 169/4 = 42.25.

write a quadratic equation with a double root of -5

Answers

Answer:

x^2 =5

Step-by-step explanation:

Answer:

x² + 10x + 25 = 0

Step-by-step explanation:

Given that x = - 5 is a root then (x + 5) is a factor

Since it is a double root then (x + 5)² so equation is

(x + 5)² = 0 ← expand factor using FOIL

x² + 10x + 25 = 0

45% of 81.2 is a number between
A) 4 and 40
B)40 and 80
C)80 and 320
D)320 and 3600

Answers

Answer:

B, 55.42 (between 40 and 80)

what is Arithmetic progression and geometric progression?




hope u have a great day!!​

Answers

Answer:

Arithmetic progression is a series of numbers in which each one varies from the one before it by a constant quantity

Geometric progression is a non-zero number sequence in which each term after the first is found by multiplying the previous term by a fixed, non-zero number known as the common ratio.

Hope you have a good day as well! <3

plz help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 50 points

Answers

Answer:

d1 = 192

d2 = 192

Step-by-step explanation:

step 1

From the imformation given, the distance is the same

so from the table

d1 = 64t

d2 = 48(7-t)

the distance is the same, it means

d1 = d2

therefore we can get the time(t) from here

64t = 48(7-t)

64t = 336 - 48t

collect like terms

64t+48t = 336

112t = 336

t = 336/112

t = 3

substitute t into d1 to get the distance

d1 = 64t

d1 = 64 × 3

d1 = 192

Note, d1 = d2

d2 = 192 too

Please help me with this, it's urgent and due tonight (Ylasterdev125 do not try to answer this with your petty virus file)

Answers

Answer:

domain is (-1 , 2) and the range is (0 , 4)

The graph of h is the graph of f(x) = x2 translated 2 units left and 5 units up. What is the vertex form of this function?
A. h(x) = (x + 2)2 + 5
B. h(x) = (x - 2)2 + 5
C. h(x) = (x + 5)2 + 2
D. h(x) = (x + 5)2 - 2

Answers

Answer:

A. [tex]h(x) = (x+2)^{2}+5[/tex]

Step-by-step explanation:

First, we need to defined the two transformations required to derive [tex]h(x)[/tex].

Vertical translation

[tex]n(x) = m(x) +k[/tex], [tex]k \in \mathbb{R}[/tex] (1)

Where:

[tex]k > 0[/tex], upwards.

[tex]k < 0[/tex], downwards.

Horizontal translation

[tex]n(x) = g(x+k)[/tex], [tex]k\in \mathbb{R}[/tex] (2)

Where:

[tex]k > 0[/tex], leftwards.

[tex]k < 0[/tex], rightwards.

Let [tex]f(x) = x^{2}[/tex], if [tex]h(x)[/tex] is translated 2 units left and 5 units up, then we have the resulting expression:

[tex]h(x) = (x+2)^{2}+5[/tex] (3)

Hence, correct answer is A.

What would x equal( rounded to the nearest tenth)

Answers

You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km
8.5 i think cause i used tan but i haven’t done this in a while

7. Tom weighs 168.5 pounds. His 2-year- old son, Nicholas, weighs 33.7 pounds. How many times as much as Nicholas does Tom weigh?

Answers

Answer:

Tom weighs 5 times as much as Nicholas

Step-by-step explanation:

To find how many times as much as Nicholas Tom weighs, we will divide Tom's weight by Nicholas' weight. This is done as follows:

Tom's weight = 168.5 pounds

Nicholas' weight = 33.7 pounds

Dividing both weights = 168.5 ÷ 33.7 = 5

∴ Tom weighs 5 times as much as Nicholas

PLEASE HELP IM DESPRATE AND I CANT GET IT

Answers

Answer:

1

Step-by-step explanation:

1. 1

if you find -4 on the x-axis, the y value is 1.

what is the 3rd page?

What is the radius of a sphere that has a surface area of 951.1 in2?
A. 6.4 in
B. 7.7 in
C. 9.8 in
D. 8.7 in

Answers

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Which of the following functions is an example of an exponential function?
х
0
1
N
f(x)
2
4
6
8
g(x)
1
1
2
4
8
f(x) only
g(x) only
Both f(x) and g(x)
Neither f(x) nor g(x)

Answers

Answer:

g(x) only

Step-by-step explanation:

g(x) only is an exponential function

If you need to construct a dog run for your dog and the total perimeter needs to be 40 feet, and you only have enough room to make it 5 feet wide, how long can you make the dog run?

Answers

Answer:15 ft

Step-by-step explanation:

Given

The total perimeter needed is [tex]40\ ft[/tex]

The available width of the room is [tex]w=5\ ft[/tex]

Suppose l is the length of the room

So, the perimeter of a rectangle-shaped room is [tex]2(l+w)[/tex]

Putting values

[tex]\Rightarrow 40=2(l+5)\\\Rightarrow l+5=20\\\Rightarrow l=15\ ft[/tex]

Solve the simultaneous equations
3x + 2y = 14
2x + 7y = 15
X =?
y =?

Answers

3x + 2y = 14 --> equation (1)

2x + 7y = 15 ---> equation (2)


multiply equation (1) by 7
and multiply equation (2) by -2

21x + 14y = 98 equation (1)

-4x -14y = -30 equation (2)


21x -4x = 98 -30

17x = 68

x = 4

not by substitution in any equation by x = 4

3x + 2y = 14

3(4) + 2y = 14

12 + 2y = 14

2y = 14-12

2y = 2

y = 1

so x = 4
and y = 1







What is the area of the triangle

Answers

area is base x height divide by 2
5 in x 1 ft = 5 ft in
divide by 2 is 2.5 ft in

Answer:

30 inches squared

Step-by-step explanation:

The formula for a RIGHT triangle is:

[tex]A= \frac{ab}{2}[/tex]

We are given..

a = 5 inchesb = 1 foot = 12 inches

Therefore...

[tex]A = \frac{5(12)}{2}[/tex]

[tex]A=\frac{60}{2}[/tex]

[tex]A = 30[/tex]

A ball is dropped from a height of 64 feet. Its height, in feet, can be modeled by the function h(t) = -16t2 + 64, where t is the time in seconds since the ball was dropped. A. After how many seconds will the ball hit the ground? B. What is a reasonable domain and range for this function?

Answers

Answer:

See solution below

Step-by-step explanation:

The ball will hit the ground at whrn t = 0

Given the height of the ball modeled by the expression

h(t) = -16t^2 + 64

0 =  -16t^2 + 64

16t^2 = 64

t^2 = 64/16

t^2 = 4

t = 2sec

The ball will hit the ground 2secs after

The domain are the values of the input values t and this values start from 2 and greater. Hence the domain of the function is {2, ∞}

when t = 2

h (2) = -16(2)^2 + 64

h(2) = -64+64

h(2) = 0

Hence the range are the output values i.e the height.

The range are within the range {0, ∞}

Use substitution. What is the solution to the system of equations?

y=1/2x+2
2y=x+4

Answers

Answer: Infinitely many solutions.

Step-by-step explanation:

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

Use [tex]\frac{1}{2} x+2[/tex] for y in [tex]2y=x+4[/tex]

[tex]2(\frac{1}{2}x+2)=x+4\\x+4=x+4\\x-x = 4-4\\0=0[/tex]

Infinitely many solutions.

May i get someone to help with these questions

6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81

8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54

Answers

Answer:

8) 0.46

Step-by-step explanation:

54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54

100% - 54% = 46%

46%/100 = 0.46

You're #6 is unclear, what is V?

4. Write the ratio for cos M.

cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24

Answers

Answer:

24/25

Step-by-step explanation:

Hello There

[tex]cos = \frac{adjacent}{hypotenuse} [/tex]

The adjacent of M is 24 and the hypotenuse is 25 so

[tex]cosm = \frac{24}{25} [/tex]

Answer:

cos M= base/hypotenuse=KM/LM=24/25

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

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