A family is comparing different car seats. One car seat is designed for a child up to and including 35 lb. Another car seat is designed for a child between 18 lb and 40

ib. A third car seat is designed for a child between 35 lb and 75 lb, inclusive. Model those ranges with compound inequalities.

Answers

Answer 1

Answer:

0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb

Step-by-step explanation:

Let the first car seat be A, the second car seat be B and the third car seat be C.  

For the first car seat be A, the weight ranges from 0 to 35 lb inclusive. Since it is inclusive, we use the ≤ sign. So, the inequality is

0 ≤ A ≤ 35 lb

For the second car seat be B, the weight ranges from between 18 to 40 lb. Since it is between 18 lb and 40 lb, we use the inequality sign <. So, the inequality is

18 lb < B < 40 lb

For the third car seat be C, the weight ranges from between 35 to 75 lb inclusive. Since it is between 35 lb and 75 lb inclusive, we use the inequality sign < for the left side and ≤ for the right side. So, the inequality is

35 lb < C ≤ 75 lb.

So, the ranges are

0 ≤ A ≤ 35 lb, 18 lb < B < 40 lb, 35 lb < C ≤ 75 lb


Related Questions

BRAINLIEST TO THE CORRECT ANSWER! 20 POINTS!!


Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

The statement that best explains why Maricella's strategy is incorrect based on the distribution property and order of operation is option A.

Recall:

When given an equation involving brackets, the distribution property must be applied first which involves multiplying every term in a bracket by the term outside the bracket.

In the equation given, to solve for x, Maricella needs to apply the distribution property by using -2 to multiply each term in (3x - 4) and using +3 to multiply every term in (x + 1).

The next step will now be addition and subtraction of like terms.

Therefore, the statement that best explains why Maricella's strategy is incorrect based on the distribution property and order of operation is option A.

Learn more about distribution property on:

https://brainly.com/question/11279503

Answer:

A!!!

Step-by-step explanation:

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ZahraouiAziz Midterm Geometry Pt 1 2020-2021 Question: 134
A line segment has an endpoint at (4.6). If the midpoint of the line segment is (1,5), what are the.coordinates of the point at the other endorine ne segment?
O (3, 1)
O (-2,4)
O (7.7)
O (5, 11)
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Answers

Answer: most likely be (7,7) not sure right or wrong but i tried so yeah

Step-by-step explanation:



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

-12

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Its -12 for sure!!!!!

(PLEASEEE HELP I DONT UNDERSTAND) Which of the following equations represents a linear NON-proportional function?
A) y=3x+0
B) y=x/4
C) y=7x
D) y=2/5x+7

Answers

D

A nonproportional relationship is a linear line that doesn’t go through the origin.

y=3x+0 does go through the origin because the y-intercept (the b) is 0

Y=x/4 also has a y-intercept of 0

Y=7x also has a y-intercept of 0.

y=2/5x+7 does not go through the origin because the line passes the y-axis at (0,7) which is the y-intercept.

What is the slope of this line? Enter your answer as a fraction in simplest term.

Answers

-1/1 but it can be simplified into -1 only depends what your teacher is looking for

give me answer.1 to 100 plus. like:1+2+3+4+5+6+7+8+9+10+11.........

Answers

Answer:

5,050

Step-by-step explanation:

Use sigma notation to add all the numbers together (∑)

Find m angle Y
A.41°
B.82°
C. 98°
D. 102°

Answers

5x+6=8x-15
->x=7
m=180-5x-6-8x+15=98

john is 2 years younger than his sister, annie. Last year, John was half Annie's age. How old are john and Annie now?

Answers

Answer:

John is 3 and Annie is 5 because to be half of someone's age while being to years younger it would have to be 2 and 4 - but then a year passed and so the are now 3 and 5.

Step-by-step explanation:

The present  age of John is  3 years

The present age of Annie is 5 years  

Given that John is 2 years younger than Annie's age

Let the present age of John be "J"

Let the present age of Annie be "A"

According to the given situation

[tex]\rm J = A -2........(1)\\[/tex]

One year ago the age of John = [tex]\rm J-1[/tex]

One year ago the age of Annie = [tex]\rm A -1[/tex]

According to the given situation

[tex]\rm\dfrac{A-1}{2}= J-1.........(2)[/tex]

On solving for equations (1) and (2) we get

A = 5 and J = 3

So the present  age of Annie is  5 years

The present age of John is 3 Years  

For more information please refer to the link given below

https://brainly.com/question/21835898

Mr. Sanchez earns a 14% commission on the sales he makes for Sanchez
Rentals. How much commission would he make if he sold $3500 last
week?

not multi choice u type an answer !!!

Answers

Commision would be $490
3500 times .14 is 490
Answer:

So the commission would be determined by multiplying the total profit of goods sold by the percent. With that we do this, 3,500*0.14=490$.
So, He would make a 490$ commission if he sold 3,500$ last week.

Is every relation also a function? Explain

Answers

Answer:

no

Step-by-step explanation:

they are not

Answer:

Step-by-step explanation:

In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.

How would you graph the solution to -5w + 9 = 14 on a number line?

Answers

Answer:

Step-by-step explanation:

w= -1

Your circle will be on the -1

Answer:

Taft

Step-by-step explanation:

if the first and fifteen terms of A.P. are 8 and -48 respectively, obtain the progression​

Answers

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

[tex]a_n=a_1+(n-1).r[/tex]

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

[tex]\displaystyle r=\frac{a_n-a_1}{n-1}[/tex]

[tex]\displaystyle r=\frac{-48-8}{15-1}[/tex]

[tex]\displaystyle r=\frac{-56}{14}[/tex]

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

the cost of 3 boxes is

Answers

I can’t seee what ur trying to show me

The function f and g are such that f(x) =2x + 5 /(x -4) and g(x) = 2x – 3 Calculate the value of(i) g(4) (ii) fg(2) (iii) gˉ¹(7)​

Answers

Answer:

g(4) = 5, fg(2) = 7/-3, gˉ¹(7)​ = 2

Step-by-step explanation:

i.) g(4)= 2(4) -3

g(4) = 8 -3

g(4) = 5

ii.) fg(2)

g(2) = 2(2)-3

g(2)= 4-3

g(2) = 1

fg(2) = 2(1)+5/1-4

fg(2) = 7/-3

iii.) g(x) = 2x -3

g(y) = 2y -3

x = 2y -3

x-3 = 2y

y= (x-3)/2

gˉ¹(7)​ = ((7)-3)/2

gˉ¹(7)​ = 4/2

gˉ¹(7)​ = 2

There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?

Answers

Answer:

girls: 16

boys: 40

Step-by-step explanation:

girls : boys

2 : 5

let the total number of people be (2+5)x.

2x + 5x = 56

7x = 56

x = 8

therefore, no. of girls = 2 x 8 = 16

no. of boys = 5 x 8 = 40

This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

A cookie factory uses 3 bags of flour in each batch of cookies. The factory used 2 7/10 bags of flour yesterday. How many batches of cookies did the factory make.

Answers

2 7/10 divide by 3
27/10 * 1/3 = 27/30 = 0.9 batches of cookies

Factorise
b) x + 3x - 40

Answers

4(x-10) .....................

y= (x + 4)2 + 8
how do you simplify this equation

Answers

Answer:

Step-by-step explanation:

you could distribute and combine like terms

y=(x+4)2+8

y=2x+8+8

y=2x+16

∀x∀y(((x ≥ 0) ∧ (y < 0)) → (x – y > 0))
A. A non-negative number - a negative number is positive.
B. For any two real numbers, the first is non-negative, the second is negative, and the difference is positive.
C. For every non-negative number, one can find a negative number so that the first number minus, the second is positive.
D. One can find a non-negative number and a negative number so that the first minus, the second is positive.
E. One can find a non-negative number so that for any positive number chosen, the first number minus, the second is positive.

Answers

Answer:

B. For any two real numbers, the first is non-negative, the second is negative, and the difference is positive.

Step-by-step explanation:

To answer this question, I'll analyse the mathematical statements one at a time

The analysis is as follows:

∀x -> This means real number x

∀y -> This means real number y

(x ≥ 0) -> Such that real number x is greater than or equal to 0. In other words, x is positive

∧ -> and

(y < 0)-> y is less than 0. In other words, y is negative

So, there are two real numbers: x and y

→ (x – y > 0) -> Their difference is greater than 0. In other words, their difference is positive

When the analysis above is compared to the list of given options; the option that match is B.

Hence, option B answers the question.

i need the answer asap i’ll make you the brainliest

Answers

Answer

the second one

-7.8× (- 1.5)
plz help ASAP

Answers

Answer:

11.7

Step-by-step explanation:

(−7.8)(−1.5)

Hope ths helps

Solve: 0.072 = w - 3.6 w = _____

Answers

Answer:

Step-by-step explanation:

0.072=w-3.6w

w= -0.0276923

Answer:

w = 3.672

Step-by-step explanation:

0.072 = w - 3.6

0.072 + 3.6 = w

3.672 = w

what plus 80 and 70 equals 180

Answers

Answer:

30

Step-by-step explanation:

Take 80 and 70 and add them together to get: 130

Then subtract 130 from 180

To get: 30

:)

Answer:

30

Step-by-step explanation:

80 + 70 = 150

180- 150 = 30

therefore 80 + 70 + 30 = 180

PLEASE HELP HURRY!! What is the value of x?

Answers

Your answer is 3/2 units.

Hope this helps!✌

Which of the following sets of numbers could represent the three sides of a triangle?
1) {15, 23, 37}
2) {6,8,14}
3) {7, 22, 30}
4) {7, 21, 30}

Answers

Answer:

NONE

Step-by-step explanation:

You have to do a² + b² = c²

To do it you have to put the three numbers from least to greatest for it to work. They already are so that's good.

15² + 23² = 37² (solve)

225 + 529 = 1369

754 ≠ 1369

6² + 8² = 14² (solve)

36 + 64 = 196

100 ≠ 196

7² + 22² = 30²

49 + 484 = 900

433 ≠ 900

7² + 21² = 30²

49 + 441 =  900

490 ≠ 900

I don't know what happened, but none of these would work.

I even used a pythagorean theorem calculator to check my work and none of them match.

Hope this helps!

How many solutions does the following equation have?
4(x-2)-2=2x+2x-10

Answers

Answer:

all real numbers

Step-by-step explanation:

PLZ HELP HURRY. Select the correct answer. Which of the following inequalities is graphed on the coordinate plane? ​

Answers

Answer: A

Step-by-step explanation: The reason is because a less than or equal symbol makes the solutions all below the points.

Write a linear equation to represent this

Answers

I think is Y=5x+20
Hope you get it right!
:D

Alguém pode me ajudar por favor???????????

Answers

Es el tercedo, porque lo ese

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins

Find the slope pls help me I need this

Answers

Answer: 3/2x

Step-by-step explanation: it going up 3 units and right 2 units. And since slope is rise/ run it 3/2x

3/2 love:) you go to the bottom point and then go up to the next and over to touch it, making it 3/2
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