Translate the given statement into an algebraic inequality or compound inequality:

To avoid an additional charge, the sum of the length, l, width, w, and depth, d, of a piece of luggage to be checked on a commercial airline can be at most 61 inches.



a.

l + w + d greater-than 61

b.

l + w + d less-than 61

c.

l + w + d greater-than-or-equal-to 61

d.

l + w + d less-than-or-equal-to 61

Answers

Answer 1

Answer:

[tex]l + w + d \leq 61[/tex]

Step-by-step explanation:

Given

Sum of l, w and d be at most 61

Required

Write as inequality

First, we need to determine the sum of l, w and d

[tex]Sum = l + w + d[/tex]

Next, we determine the type of inequality.

At most 61 means less than or equal to 61

So, the expression becomes:

[tex]Sum \leq 61[/tex]

Substitute value for Sum

[tex]l + w + d \leq 61[/tex]

Answer 2

Answer:

D

Step-by-step explanation: Ede 2021


Related Questions

5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?

Answers

Answer:

5.3 hours

Step-by-step explanation:

Jane can paint the office by herself in 7 hours.

with an associate, she can paint the office in 3 hours.

The combined work rate is 3 hours per office

Required

the work rate for the associate

Step two:

let the expression for the wok rate be

1/A+1/B= 1/T

1/7+1/B=1/3

1/B=1/3-1/7

1/B= 8-4/21

1/B= 4/21

B= 21/4

B=5.3 hours

the work rate for the associate is 5.3 hours

Type the missing number in this sequence:
58, 65, 72, ___, 86, 93

Answers

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

the value of an investment decreased by 10%. The original amount of the investment was $75 what is the current value of the investment?​

Answers

Answer:

67.5

Step-by-step explanation:

what is it like being dead?

Answers

Answer:

fun

Step-by-step explanation:

ask cedric diggory

Answer:

it when you jump off of a car

Step-by-step explanation:

I need help! (math) ..............

Answers

Answer:

b (0, 12)

Step-by-step explanation:

x must be 0 for a point to be a y-intercept so (0, 12) is a y-intercept because x=0

i need help with this.​

Answers

What help do you need?

The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?

a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.

Answers

Answer:

c. The particle is moving away from the origin at a decreasing speed.

Step-by-step explanation:

Since x(2) which represents the particles position is less than zero, that is, x(2) < 0, it shows that the particle is at the left of the origin at t = 2.

Also, x'(2) which represents the particle's speed at t = 2 is less than zero, that is, x(2) < 0, the particles speed is negative at t = 2.

Finally, since x"(2) which represents the particle's acceleration at t = 2 is less than zero, that is, x"(2) < 0, the particle's acceleration is negative at t = 2 and thus decreasing.

So, combining these three conditions together shows that the particle is moving away from the origin at a decreasing speed at time, t = 2.

Since [tex]x(2)[/tex], which represents the subatomic particle location, is below zero, that is, [tex]x(2) <0[/tex], it indicates that the particles are to the left of the origin at [tex]t = 2.[/tex]

Therefore, [tex]x'(2)[/tex], which represents the particle's speed at [tex]t = 2[/tex], is less than zero, implying that[tex]x(2) <0[/tex], the subatomic particle speed at [tex]t=2[/tex], is negative.Furthermore, because [tex]x"(2)[/tex], which represents that particle's acceleration at [tex]t = 2[/tex], is less than zero, [tex]x"(2)< 0[/tex], the particle's acceleration at [tex]t = 2[/tex] is negative and consequently declining.Considering these three requirements reveals that at the moment [tex]t = 2[/tex], the particle is moving away from the nucleus at a decreasing speed.

Therefore, the answer is "Option C".

Learn more:

brainly.com/question/18800858

The expression 2y + 2.6 is equal to ? for y = 1.4

Answers

Answer:

5.4 :))

Step-by-step explanation:

ok so first you take 2*1.4=2.8 (you replace the Y with the number)

so now you have 2.8+2.6 which is equal to 5.4

Answer:

5.4

Step-by-step explanation:

2*1.4 is 2.8. Now the expression is y2+2.6=. Now, that we figured out what 2y is, which is 2.8, we need to add on 2.6. 2.6 + 2.8 is equal to 5.4. Now, to write out the whole equation, it would look like this.

2y+2.6=?

y2+2.6=?

2.8+2.6=?

5.4

So in the end:

2y+(2.6)= 5.4

the angles of a triangle are in the ratio 2:3:4 find the size of each angle ​

Answers

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

pls help i don’t know how to simplify lol

Answers

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Calculate the speed of a wave with a frequency of 2 Hz, amplitude of 3m, and a wavelength of 10m

Answers

Speed = wavelength * frequency
10 * 2 = 20
The speed is 20 m/s

The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

[tex]\lambda = 10m[/tex] --- the wave length

[tex]f =2Hz[/tex] --- the frequency

[tex]A = 3m[/tex] --- the amplitude

The speed of wave (v) is calculated as follows:

[tex]v =f\lambda[/tex]

Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]

[tex]v = 2Hz \times 10m[/tex]

[tex]v = 20ms^{-1}[/tex]

Hence, the speed of the wave is 20m/s

Read more about waves at:

https://brainly.com/question/10715783

HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

b

-8

Step-by-step explanation:

What is the answer to 2W-12-5

Answers

Answer: 2W-17

Step-by-step explanation: HOPE THIS HELPS


The prime factorization of
___

Answers

Answer:

80

Step-by-step explanation:

Answer:

The correct answer is 80.

Step-by-step explanation:

=2^4×5

=2×2×2×2×5

=4×2×2×5

=8×2×5

=16×5

=80#

Some people have been complaining that the children's playground at a municipal part is too small and is in need of repair. Managers iof the pard decide to survey city residents to see if they believe the playground should be rebuild. They hand out questionnaires to parents who bring children to the park and asked: "Do you think the playground should be repaired and expanded even if that means raising the entrance fee to the park?" Which type of bias is most likely to have occurred in this situation?


a

Voluntary Bias

b

Wording Bias

c

Response Bias

d

Non-Response Bias

Answers

Answer:

c  . Response Bias

Step-by-step explanation:

This is a convenience sampling and it could lead us to a response bias. Those parents who bring their children to play in the park would most likely to support rebuilding the park while the parents those who do not bring their children would not be sampled and thus would not be included in the sampling. This sample method involved is not representative of the entire population. So it is a responsive bias.

А
8x - 12
D
KE
B.
20
3. ABCD is a rectangle. Use the properties of a rectangle to determine the value of x.
A. X = 5
B. X = 4
OC. x = -2
D. X = -1.5

Answers

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]AD = BC[/tex]

[tex]8x - 12 = 20[/tex]

[tex]8x = 20 + 12[/tex]

[tex]8x = 32[/tex]

[tex] \frac{8x}{8} = \frac{32}{8} [/tex]

[tex]x = 4[/tex]

to be sure

[tex]8x - 12 { = }^{?} 20[/tex]

[tex]8 \times 4 - 12 { = }^{?} 20[/tex]

[tex]32 - 12 { = }^{?} 20[/tex]

[tex]20 = 20[/tex]

Find the length of the missing side of the perimeter is 30ft

Answers

Answer:

5ft

Step-by-step explanation:

7 + 10 + 8 = 25

subtract that form 30

25-30

Thane you get

5

so the answer is

5!!!!!

also plz mark me brainliest

jesuseduardomontiel0 avatar
jesuseduardomontiel0
3 days ago
Mathematics
High School
Daniel has 4.8 pounds of ground beef. He makes 8 burgers of equal amounts. Daniel draws this model to show how much each burger will weigh. Daniel's model correct? Why or why not?

Answers

WOW JIMMY. THATS A BIG . BIG. BIG. NUT SACK

The solution of the inequality 20 >= 5 + 3x. is

Answers

Answer:

x ≤ 5

Step-by-step explanation:

20 ≥ 5 + 3x

20 - 5 ≥ 3x

3x ≤ 15

x ≤ 5

4.521x10^1 in scientific notation

Answers

Answer:

if you are asking for the real number, the answer would be 45.21

Step-by-step explanation:

We simply multiply by 10 since we are given 1 as an exponent

Please help me Asp with this

Answers

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24

((3 + 5)2.7) - 11 - 42

Answers

Answer:

-31.4

Step-by-step explanation:

[tex]2.7(3+5)-11-42\\=2.7*8-11-42\\=21.6-53\\=-31.4[/tex]

Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.

Answers

Answer:

She will walk and run 148.2 miles in a year

Step-by-step explanation:

She walks: 0.75+0.5=1.25 miles each week

And: 1.25 *52=65 miles a year

She runs : 1.6 miles a week

And: 1.6*52 =83.2 miles a year

Total miles : 83.2+65=148.2 miles

Plzzzz help right answer gets a brainly!

Answers

Answer: A, The line starts at 9 and ends at 29

I think it’s the first one

g(x)=x^2-3 and h(x)=2x+5

find h(g(x))

Answers

We know that [tex]g(x) = x^2-3[/tex] and [tex]h(x) = 2x+5[/tex]. So, [tex]h(g(x))[/tex] is equal to [tex]h(x^2-3)[/tex], which is [tex]2(x^2-3)+5[/tex]. This can be simplified to [tex]2x^2-1[/tex].

Sophia, Aiden, and Jaiden had a challenge to see who could bike the farthest in one day. Sophia biked 13 miles, Aiden biked 2 times as many miles as Jaiden and Jaiden biked 3 times as many miles as Sophia. How many miles did Aiden bike?

Answers

Answer:

78 is the answer

Step-by-step explanation:

ok so look below for steps to solve it!

step 1: it says Jaiden did 3* as many so multiply 3*13=39

step 2: then multiply 39*2=78

step 3: thus, the answer is 78

please give me brainliest! have a great day!

Answer:

Its 78

Step-by-step explanation:

95 points!!!! please help


When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home.


Draw a graph to represent this situation?

Answers

Answer:the sum of the first 20 terms of the sequence 50, 100, 150,.... is equal to

Step-by-step explanation:

Answer:

Just subtract, 400 - 50 = 350, 350 - 50 = 300....etc until you reach (8,0) point on the graph. Graph a straight line down from starting point (0,400) on graph to (8,0). This is your answer subtract 50 from 400 until you reach 0. Starting point (0,400) and ending point (8,0), it's a straight line down ward..

Step-by-step explanation:

What is the equation of the line through the origin and (-5, 6)?
O A. y = -5x
O B. y = -6/5 x
O C. y = -6x
0 D. y = -5/6 x

Answers

Answer:

answer is option b

Step-by-step explanation:

B. y=-6/5x

in a class of c children there are 16 boys what fraction of the class are boys ​

Answers

Answer:

16/c

Step-by-step explanation:

hope this helps <3

Please help please please

Answers

I haven’t ever learn that in my entire life
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