What are rational numbers? Why is it important to study rational numbers?

Answers

Answer 1

Answer:

Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)


Related Questions

On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?

Answers

Answer:

120 children and 388 adults bought tickets for the swimming pool

Explanation:

Create two simultanous equations:

Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being

c

+

a

=

508

then, you now create a second equation for the prices of the tickets.

(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected

so:

1.75

c

+

2.25

a

=

1083.00

now we still know, that

a

=

508

c

so we can substitute it into the second formula

1.75

c

+

2.25

(

508

c

)

=

1083

now its just simple algebra

1.75

c

+

1143

2.25

c

=

1083

60

=

0.5

c

so:

c

=

120

now we know, that 120 children went to the swimming pool.

and we still have the formula from before:

a

=

508

c

so

a

=

388

Show that the triangles are similar and write a similarity statement.
F.
5
G
24
15
18
H
16.5 J 5.5 K
HG
HJ
GJ
II
II
So AGHJ~A

Answers

Answer:

the circle is a square so that means a triangle is a circle

Step-by-step explanation:

At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m.

Write and simplify an expression for the exact area of the sidewalk.

Find the approximate area of the sidewalk. Use 3.14 to approximate π.

Answers

Answer:

The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m

The equation would be:

144 x 3.14 - 64 x 3.14 = 251.2

Step-by-step explanation:

First, you need to find out what the whole circle is:

The whole circle is 452.16

Then, find the inner circle :

8 x 8 x 3.14  

200.96

Last, subtract the whole by the inner:

452.16 - 200.96 = 251.2

hope this helps!

what is the value of x​

Answers

Answer:

x=11

Step-by-step explanation:

6x + 1 + 7x = 144

13x + 1 = 144

13x = 143

x = 11

what is seven squared as an exponetial expression

Answers

Answer:

7^2

Step-by-step explanation:

how big are yoongi's feet

Answers

Answer:

he's a size 8.5-9 in US mens and 265(mm) korean shoe size

Step-by-step explanation:

pfft hope this helped army

How much will 9 pencils cost if 6 pencils cost $1.68?

Answers

Answer:

$2.52

Step-by-step explanation:

1.68/ 6 = $0.28 each pencil

0.28 x 9 = $2.52

If a = 8 and b = 15, then c
=

Answers

Then c = 22 just keep adding 7
8+7=15 15+7=22

The Vincent family played a game of basketball. For each game, Ben kept a record of the number of 2-point baskets he attempted, and the number of 3-point baskets he attempted. After the family played several games, he made a scatter plot of the data using the 2-point shots as the x-variable and the 3-point shots as the y-variable. The scatter plot has a line of best fit with the equation y=1.2x+3.1

Answers

Answer:

your answer is The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

Answer:The y-intercept represents how many 3-point shots Ben will try to make if he attempts 0 2-point shots.

Step-by-step explanation:

Solve for

Help me please

Answers

Answer:

x = 7

Step-by-step explanation:

tan 30 = x/7√3

tan 30 = 0.5774

x = 0.5774(7√3)

x = 7

what is the measure of Y ​

Answers

Answer:

62

Step-by-step explanation:

60 + 58 + y = 180

118 + y = 180

y = 180 - 118

y = 62

solve 35% of 84 using the mental method

Answers

Answer:

29 approximately

Step-by-step explanation:

You want to estimate 35% of 84.  35% is roughly equivalent to 1/3, so multiply 84 by 1/3 (or, equivalently, divide 84 by 3), obtaining 28.    Use a calculator to find 0.35(84):  29.4.     This 28 is a fairly good estimate of 35% of 84 which is 29.4.

Factor The Expression

14b + 10=

there are no options

Answers

Answer:

2(7b+5)

Step-by-step explanation:

Write a real word problem that involves dividing a decimal by a whole number

Answers

There is 75% of a pizza and there are 3 siblings who want to eat it for lunch. They divide what they have of the pizza evenly among themselves. In terms of a whole pizza, what percent did each sibling get.

This question would mean dividing 75% or .75 by 3 which would mean each person got 25% or .25 of what would be a whole pizza.
So while each person would get .33 of the current sized pizza (.75) in terms of a whole pizza it would be .25

I hope this makes sense! Sorry if I over explained it.

Please fully explain and thank you a lot

Answers

Answer:

If you aren't allowed to use calculators do (1280 - 128pi) but if you are do (877.876140341) Don't forget units in your work and answer.

Step-by-step explanation:

Volume of Rectangular prism = L*W*H = 8*10*16 = 1280in

Volume of Cylinder = pi*r^2*H = 8*pi*r^2

We know that the diameter is 8 (because that's the height of the rectangular prism as stated in the question) and diameter is 2*r thus the radius of the cylinder is 4.

therefore the volume of the cylinder is 8*pi*(4)^2 which is 128pi If you aren't allowed to use calculators do (1280 - 128pi) but if you are do (877.876140341)

Helpppppp me pleaseeee

Answers

Answer:

3. C

4. D

Step-by-step explanation:

1. add flat fee to each song.

2. Multiply 0.15 by 25 then add 10

first is C
second is D

A linear equation is an equation whose graph is a straight line.

Answers

Answer:

True

Step-by-step explanation:

Plotting the point of any linear equation on a graph gives a straight line

Answer:

True

Step-by-step explanation:

(4m+3)(m+2)

expand each of the following algebraic expression​

Answers

Answer:

4m² + 11m + 6

Step-by-step explanation:

Use foil to expand this value.

(4m+3)(m+2)

Multiply the first terms in the two brackets.

Then multiply the two outer terms.

Followed by multiplying the inner terms.

Finally multiply the last terms

= (4m+3)(m+2)

4m² + 8m + 3m + 6

4m² + 11m + 6

Brainliest to right answer

Answers

Answer: 32 liters

Step-by-step explanation:

W(0)= 32 so the glass tanks volume is 32

Are (99 – 11 + 10g) - (12 - 119 + 13) and -3(-10g + 12) equivalent expressions? Explain.

Answers

Answer:

)99-11+10g -12+119 -13= 182+10g

)30g-36

Step-by-step explanation:

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?

a x + b greater-than c
when a is positive
when a is negative
when b is positive
when b is negative

Answers

Answer:

B. when a is negative

Step-by-step explanation:

Inequality given:

ax + b > c

When solving we do steps:

ax > c - bx > (c - b)/a

At the second step both sides divided by a.

When a is positive the inequality symbol remains as is, when a is negative we have to divide both sides by -1 as well. This will reverse the inequality symbol.

Correct answer choice is B.

Answer:

b

Step-by-step explanation:

what is 7 -7/8 by the way this is a fraction question

Answers

Answer: 6 1/8

Step-by-step explanation:

6 1/8 that's what I got but I'm not sure

Marilyn and Frank each save $25 per month. Their savings are $3x and $2x respectively. What amount will be the sum of their savings 5 months from now?

Answers

Answer:yutu

gdffg

Step-by-step explanation:

uytyuytuyuyu dfgdgdg

Answer: the answer is b on the forum

Step-by-step explanation:

Hey! Can someone help me?

Answers

Answer:

Step-by-step explanation:

there are 4 sixes soo

[tex]6^{4}[/tex]

Answer:

[tex] {6}^{4} [/tex]

-have a nice day

Pleaseeee help ASAP rocky!!!

Answers

Answer:E

Step-by-step explanation:

What are the measures of the other three angles formed by the intersection?

Answers

angle 2 is 132 since it’s a vertical angle... i cant help you with the other 2 i’m sorry!!
Could you resend the picture in the comments or maybe even write it out?
My screen is very blurry.

TOTAL SURFACE AREA!!! WILL GIVE BRAINLIEST

Answers

Answer:

158in^2

Step-by-step explanation:

Answer:

158 in^2

Step-by-step explanation:

2C = 2x5x8 = 80

2B = 2x3x8 = 48

2C = 2x3x5 = 30

80+48+30 = 158 in^2

Find the equation of the line that is parallel to the line y=-3x-7 and passes through the point (1,2). Write an equation in slop intercept form

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y=-3x-7

slope is -3

parallel lines have the same steepness, they have the same slope.  The slopes are equal.

y-y1=m(x-x1)

y-2=-3(x-1)

y-2=-3x+3

y=-3x+3+2

y=-3x+5

PLEASE ANSWER COMPLETE QUESTION. WILL MARK BRAINLIEST FOR BEST ANSWER. QUESTION IS ATTACHED.

Answers

9514 1404 393

Explanation:

A linear system of two equations in two variables will be a dependent system. This means both equations reduce to the same equation. The equations will be different only until they are reduced to the same form.

Here is one possible set of equations. The first is in slope-intercept form. The second is in point-slope form.

y = 3x +1y -7 = 3(x -2)

If we subtract the first equation from the second, we get ...

  (y -7) -(y) = (3(x -2)) -(3x +1)

  -7 = 3x -6 -3x -1 . . . . . eliminates y

  -7 = -7 . . . . . . . . . true for all values of x

There are an infinite number of solutions.

3y + 5x = 26
-2y – 5x
ан
-16
У —

Answers

Answer:

15

Step-by-step explanation:

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