A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?

Answer:

⅓litres

Step-by-step explanation:

1²/5+1³/5 =(1+1)+(²/5+³/5)

=2+ 1 = 3

3÷9=³/9.

simplify. ³/9= ⅓

Kelly pours 1/3 liter of fruit punch into each glass at a party for her chess team.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

She combined 1 2/5 liters of cranberry juice and 1 3/5 liters of pineapple juice which are given in the question.

As per the above situation, the required solution would be

⇒ 1 2/5 + 1 3/5

Convert mixed numbers to fractions,

⇒ 7/5 + 8/5

Take the LCM in the above equation,

⇒ (7 + 8)/5

⇒ 15/5

⇒ 3

Then, she split the fruit punch evenly among 9 glasses.

Now, we have to divide 3 liters of fruit punch into 9 glasses

So 3/9 = 1/3 liters of fruit punch

Therefore, she pours 1/3 liter of fruit punch into each glass.

To learn more about the division operation click here :

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Answer:

The coordinates of the midpoint of the segment is (3,2)

Step-by-step explanation:

To find the coordinates of the midpoint, we use the midpoint formula which is;

(x1+x2/2 , y1+y2/2)

Where;

x1 = 7

x2 = -1

y1 = -1

y2 = 5

= (7-1)/2 , (-1+5)/2 = 6/2, 4/2 = (3,2)

Answer:

about 51 ft

Step-by-step explanation:

I am not sure if this is the correct answer

16:9 = 16/9

90/x = 16/9

Remember that i am not sure about this answer, but I hope this helps!

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

Answer:

5

Step-by-step explanation:

With the equation [tex]x^2 + 2xy - 4y[/tex], we can substitute the values of x = 3 and y = -2 into the equation to find its result.

[tex](3^2) + (2\cdot3\cdot-2) - (4\cdot-2)\\\\9 + (6\cdot-2) - (-8)\\9 - 12 + 8\\5[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

[tex]\frac{1.6*10^{3}}{8*10^{7}}=\frac{1.6}{8}*10^{3-7}\\\\\\=0.2*10^{-4}\\\\\\=2.0*10^{-5}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

Answer:

The answer is either A or B. Answer D is not appropriate for a survey of 100 dogs. Answer C, is also not correct, because it doesn't exactly matter out of 100 dogs. Answer A, is more accurate, then Answer B, because it is more of a statistical question, as in surveys, we want statistics. Thus, I must go with A) - What is the number of dogs in the shelter that are more than 5 years old?

Step-by-step explanation:

Answer:

the average

Step-by-step explanation:

option1: will help you get a population of those above five only therefore frequency for a large group of above five years which you can't analyse

2: you are able to see e.g average is 25yrs so your classes can start from e.g 0 to at most 26yrs therefore clearly defined classes

3 and 4: help you either get upper and lower limits but the other respective limits are infinite

Answer:

ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Step-by-step explanation:

Picture for the given question is missing; find the picture attached.

If [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H

Then ΔFHK ~ ΔGHJ

[tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex]

[tex]\frac{(12+10)}{10}=\frac{(15+18)}{15}[/tex]

[tex]\frac{22}{10}=\frac{33}{15}[/tex]

[tex]\frac{11}{5}=\frac{11}{5}[/tex]

Since, [tex]\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}[/tex] and ∠H ≅ ∠H [By reflexive property]

Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Option (3) will be the answer.

Answer:

ΔFHK and ΔGHJ are similar triangles by the SAS similarity theorem.

Step-by-step explanation:

Verified correct with test results.

what should we do??? the question isn't there!

Answer: 5(2+3n)

Step-by-step explanation:

Answer:

15n + 10 should be your answer.

Step-by-step explanation:

Answer:

p = 48/11 or 4.36

Step-by-step explanation:

4 + 2p = 10(3/4p - 2)

distribute the 10 on the right side of the equation

4 + 2p = (15/2p - 20)

multiply both sides by 2

8 + 4p = 15p - 40

move the terms

48 = 11p

p = 48/11

(sorry if this question is already answered, brainly is glitching out for me)

Answer:

p=6

I got it right on Kahn Academy

Answer:

2x +4

Step-by-step explanation:

The Expression for "Multiply the input by 2 and then add 4 to the result to get the output" is 2x+ 4.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

Multiply the input by 2.

let the input be x.

So, 2x

Now, add the result to 4

Then, 2x+ 4

Hence, the expression is 2x+ 4.

Learn more about expression here:

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Answer:

C

Step-by-step explanation:

Find 120% of 150

1.2 x 150 = 180

Increase to 150

180 + 150 = 330

Hope that helped!!! k

Answer:

0.08%

Step-by-step explanation:

2 years,

the $800 plus $128 in interest. What simple interest rate did he pay?

128/2

$64 a year

64/800=0.08

so 0.08%

Answer:

10

Step-by-step explanation:

(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²

1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10

Step-by-step explanation:

Here,

diameter(d) of the cylinder is 16 yd.

radius of a cylinder is 16/2 yd= 8 yd.

height (h) of a cylinder is 18yd.

now, we use formula for surface area of cylinder,

a= 2.pi.r(r+h)

or, a= 2×3.14×8(8+18)

by simplifying it we get,

The surface area of cylinder is 1306.24 sq.yd.

Hope it helps...

Answer:

The surface area of this cylinder is:

1306.24 square yards

Step-by-step explanation:

  There are 2 types of surface:

then:

total  surface = 2 flat surface + circular surface

ts = 2(п r²) + (п*d*h)

ts = total suface

п ≈ 3.14

d = diameter = 16 yd

r = radius = diameter/2 = 16/2 = 8yd

h = high = 18yd

then:

ts = 2(3.14*8²) + (3.14*16*18)

ts = 2(3,14*64) + (904,32)

ts = 2(200.96) + 904.32

ts = 401.92 + 904.32

ts = 1306.24 yd²

Answer:

[tex]\displaystyle [0, 6][/tex]

Step-by-step explanation:

[tex]\displaystyle 1 = -\frac{1}{2}[10] + b \\ \\ 1 = -5 + b; 6 = b \\ \\ [0, 6][/tex]

I am joyous to assist you at any time.

Answer:

Look at photo

Step-by-step explanation:

Answer:

4 bus is required for field trip to carry 200 passengers.

Step-by-step explanation:

Total no . of passengers = 200

let the be x bus required to carry 200 passengers

capacity of 1 bus = 60 passengers

capacity of x bus = 60*x passengers = 60x passengers

Thus,

60x = 200

x = 200/60 = 3 2/3

thus, 3.66 bus is required , but no. of bus cannot be in fraction hence we take integral value greater than 3.66 which is 4

Thus, 4 bus is required for field trip to carry 200 passenger.

Answer:

1. 8y - 9y = -1y

( 8 - 9 = -1)

3. 8a - 6 +a - 1

( i have showed the like terms here)

8a - 1a= 7a

-6 - 1 = -7

7a - 7

5. -x - 2 + 15x

( i have showed the like terms here)

-x + 15x = 14x

(x = 1)

14x + 2

7.  8d - 4 - d - 2

( i have showed the like terms here)

8d - d = 7d

-4 -2 = -6

7d - 6

8. 9a + 8 - 2a - 3 - 5a

( i have showed the like terms here)

9a - 2a - 5a = 2a

8 - 3= 5

2a + 5

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

Answer:

1/4

Step-by-step explanation:

25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4

The P(took a vitamin | got the flu) will be 1/4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.

We need to find the P(took a vitamin | got the flu).

Now, 25 people took a vitamin and still got the flu.

The total number is 100.

So, the fraction is 25/100 which can be reduce to 1/4.

P(took a vitamin | got the flu) = 25/100

P(took a vitamin | got the flu) = 1/4

Therefore, the P(took a vitamin | got the flu) will be 1/4.

Learn more about the unitary method;

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Answer:

The answer is

Step-by-step explanation:

The figure above is a rectangle

To find the perimeter of a rectangle we use the formula

Perimeter of a rectangle = 2l + 2w

where

l is the length of the rectangle

w is the width of the rectangle

From the question

length = 14 ft

width = 8ft

Substituting the values into the above formula we have

Perimeter = 2(14) + 2(8)

= 28 + 16

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

[tex]9^{-4}[/tex]

=[tex]\frac{1}{9^{4} }[/tex]                   ∴     [tex]x^{-n} = \frac{1}{x^{n} }[/tex]

=[tex]\frac{1}{9*9*9*9}[/tex]

=[tex]\frac{1}{6561}[/tex]

Answer:

The answer is A

Step-by-step explanation:

This shows a mirroring effect over the vertical y axis.

Choices B and C are a translation (aka shifting)

Choice D is a reflection but over the horizontal x axis.

Answer:

-1, 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is (-1,4)

6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.

Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:

(4/8)/(2/2) = 2/4

(6/12)/(3/3) = 2/4

As you can tell, when they share a common denominator (4), the numerators are the same as well (3).

~

Answer:

535.2 cm²

Step-by-step explanation:

The surface area the solid formed by the net in exercise 4 can be calculated by finding the area of each part that makes up the net.

The net consists of 2 triangles and 3 rectangles.

Each triangle has a base (b) of 8 cm and a height (h) of = √(8² - 4²) (using Pythagorean theorem)

height = 6.9cm

Each rectangle has length (l) of 20cm, and width (w) of 8cm

Therefore, Surface Area (S.A) = area of 3 rectangles + area of 2 triangles

S.A = 3(l*b) + 2(½*b*h)

S.A = 3(20*8) + 2(½*8*6.9)

S.A = 3(160) + (1*8*6.9)

S.A = 480 + 55.2 = 535.2 cm²

(5280 vodas) * (1/2.71828 moloko/voda) * (1/3.1416 pivo/moloko) ≈ 618 pivos

(because 5280 has 3 significant digits)