6. Toni can carry up to 18 lb in her backpack. Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?

Do not use the equal sign, we're using the greater than sign > and the < less than sign!​

Answers

Answer 1

Answer:

x≤ 5

Step-by-step explanation:

18-2-1=15

15/3=5

Answer 2

Answer:

the number of book she can carry is 5 books

Step-by-step explanation:

backpack capacity = 18 lb

backpack can carry:

lunch = 1 lb

gym clothes = 2 lb

books = 3 lb per book

find:

how many books can she carry in her backpack?

backpack capacity = lunch + gym clothes +  x books

let x be the number of books

18 = 1 + 2 + 3x

18 - 1 - 2 = 3x

15 = 3x

x = 15 / 3

x = 5

therefore, the number of book she can carry is 5 books


Related Questions

what is the answer to x/-4 <16

Answers

[tex]\frac{x}{-4} < 16[/tex]

16 yı karşıya at;

x/-4-16<0

(-x-64)/4<0

-x-64<0

-64<x

x>-64

Answer:

x > −64

I hope this helps!

Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Answers

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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three more than five times the number of dogs find the algebraic expression

Answers

Answer: 5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

could somebody please help me graph this function?? 40 points <3

Answers

Answer:

root (0,0)

domain x= all reall numbers

range y= all real numbers

Vertical intercept (0,0)

what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

Answers

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

Subtitution .HELP ME

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

x = 3y - 4

5x + 2y = 31 in the second equation replace x with 3y - 4

5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis

15y - 20 + 2y = 31 add like terms

17y = 51

y = 3

Now, since we found the value of y we can use it to calculate x

x = 3y - 4

x = 3×3 - 4

x = 2

Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.

Answers

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m

Answers

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

What is the product of -15 and -3?
05
-5
-18
45

Answers

Answer:

45

Step-by-step explanation:

negative times negative equals positive

45
negative times negative equals positive

3k + 3n = 3(k+n)

is this
association axiom for addition or multiplication

Answers

Answer:

Yes it is ✔️✔️✔️

Axiom for multiplication

hope this helps uh

Two numbers have a sum of 2 and a difference
of -16. What are the numbers?

Answers

Answer:

-7 & 9

Step-by-step explanation:

(-7) + 9 = 2

(-7) - 9 = -16

x + y = 2

x - y = -16

Add the equations together to eliminate one of the variables.

2x = -14

Divide both sides by 2

x = -7

Let's plug -7 into x for our first equation.

-7 + y = 2

Add 7 to both sides.

y = 9

write 0.46 repeating as a fraction in simplest form​

Answers

46/100? I’m pretty sure

A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes

Answers

Answer:

0.4561

Step-by-step explanation:

If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio  of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.

amount of boxes of socks : amount of boxes of shoes = 26:57

26:57 = 26/57

26/57 ≈ 0.4561

Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561

Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)​

Answers

Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x

Simplify the equation -4(2x-4)

Answers

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =

Answers

A) -10
C) -5
E) 0
B) 6
D) 10
F) 8

What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis? Choose 1 answer:

Answers

Answer:

5.6568 units

Step-by-step explanation:

Given the following points :

(8, - 3) and (4, - 7).

Find the distance between them.

(8, - 3) : x1 = 8, y1 = - 3

(4, - 7): x2 = 4, y2 = - 7

Distance (d) = √[(x2 - x1)² + (y2 - y1)²]

d = √[(4 - 8)² + (-7 - (-3))²]

d = √[(-4)² + (-7 +3)²]

d = √[16 + (-4)²]

d = √16 + 16

d = √32

d = 5.6568

d = 5.66 units

Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Answers

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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A movie theater sends out a coupon for ​90% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket.

Answers

Y=x-0.9x

For example, if the ticket is $10 (x=$10):
Y=10-10(0.9)
Y=10-9, Y=$1

Solve the equation below

Answers

The answer is b1 = 2A/h-b2

Answer:

A)2A/h-b2

Step-by-step explanation:

A=h(b1+b2)/2

2A=b1h+b2h

2A-b2h=b1h

b1=2A-b2h/h

b1=2A/h-b2h/h

b1=2A/h-b2

Hope it is helpful for you

Please follow me

and mark me the brainest PLEASE

List the domain and range of the relation. {(7. - 6), (4,4), (0, -6), (4,1) (7,6)}​

Answers

The domain is all the x values in the relation.

The range is all the y values in the relation.

Note that if you have more then one of a number, you only put one.

Domain: 7, 4, 0

Range: -6, 4, 1, 6

Best of Luck!

y+9÷2=y-3÷4-(y/3)
pls help​

Answers

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2               ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4

===============

(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3      ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9

help solve this please

Answers

Answer:

h=18/7

Step-by-step explanation:

2/21=h/27

21 h=54

h=54/21 common factor 3

h=18/7

Solve the following expression when
m = 5 and d = 4
m2 + 2d + 8 + d

Answers

If you use substitution the should be answer 30

Answer:

answer is 45

Step-by-step explanation:

What is the sum and classification of 3/20 + the square root of 10 and is it rational

Answers

Answer:

The correct option is 1

Step-by-step explanation:

Given the number . we have to identify the number is rational or irrational

As we know  is irrational

i.e

The above number is irrational as it is non repeating and non-termination number after decimal.

As the sum of a rational and an irrational must be irrational

∴  is irrational which gives the sum 3.31227766....

hence, the correct option is 1)

9x10^7 is how many times as large as 3x10^3

Answers

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

What is Exponents?

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

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Use the distributive property to find the value of 8(10 + 9).
152
82
89
97

Answers

The answer is 89 because you distribute the 8 to the 10 and then to the 9. 80+9=89
152 because 8x10=80 and 8x9=72 so 80+73=152

plz help me im crying ​

Answers

Answer:

B

Step-by-step explanation:

You just do 113,000 - 71,500= 41,500

the answer is b .....;)

Help me do this please!

Answers

Answer:

Step-by-step explanation:

Part a:

a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4

b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4

c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9

Part b:

Line 1 and Line 2: perpendicular

Line 1 and Line 3: neither

Line 2 and Line 3: neither

Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florida, located at (1, 4) on the map’s coordinate grid, makes a stop at the midpoint, Panama, located at (5, 7 ) on the map’s coordinate grid. and then heads to its destination, Ecuador. Find the location of Ecuador on Mary’s map. Group of answer choices (3, 5.5) (8, 9) (0, 0) (9, 10)

Answers

Answer:

(9, 10)

Step-by-step explanation:

We are told that the coordinates of Mary's departure location is (1,4)

Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).

Now, we want to find the coordinates of her final destination.

Let the coordinates of her final destination be (x, y)

Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;

(x + 1)/2 = 5

x + 1 = 5 × 2

x + 1 = 10

x = 10 - 1

x = 9

Similarly, to get y;

(y + 4)/2 = 7

y + 4 = 14

y = 14 - 4

y = 10

Thus, the coordinates of her final destination is; (9, 10)

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