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

HELP NOW

(solve by substitution lesson)

1. y=4x-8

y=2x+10


2. y=x-2

2x+2y=4


3. m=5p+8

m=-10p+3

Answers

(Question 3)3=p, x=2(question 2), x=9(question 1)

Sabrina plans to apply for a loan that requires a down payment at the end of this year what will help her reduce the total cost of the loan

Answers

Answer:

Increasing the down payment.

Step-by-step explanation:

The longer Sabrina takes to pay all the money to the bank, more expensive it will be, so a an idea is to decrease that final cost.

In fact, increasing the down payment is best because to pay, you need money, the more something expensive, the more money you need. Like the bank.

Answer:

Option D

Step-by-step explanation:

Just took the test on Plato and got it right

Can somebody help me please

Answers

? = 45 degrees. This is the answer. The angles always equal to 180.

PLZ HELP


Li can walk 2 miles in 45 minutes. At this rate how far can she walk in 135 minutes?

Answers

Answer:

6 miles

Step-by-step explanation:

SO first divide 135 by 45

You’ll get 3

Now using 3 we multiply that by 2

youll get 6 miles

135 minutes/ 45 minutes = 3

2 miles x 3 = 6

They can walk 6 miles.

Select the correct answer.
The probability of event Als x, and the probability of event Bis y. If the two events are independent, which of these conditions must be true?
O A P(BA) = y
OB. P(
AB) = y
OC. P(BA) = x
OD. P(A and B) = x + y
OE
P(A and B)
P(A)

Answers

It is C have a great day luv

The condition that must be true about the probabilities is P(A and B) = xy

The probabilities of the events A and B are given as:

P(A) = x

P(B) = y

Given that events A and B are independent events, then we have the following equation

P(A and B) = P(A) * P(B)

The equation becomes

P(A and B) = x * y

P(A and B) = xy

Hence, the condition that must be true is P(A and B) = xy

Read more about independent events at:

https://brainly.com/question/14279727

Let p be the elevation of a passage in meters. Write an inequality that
represents elevations below -8 meters.

Answers

Answer: -8>p

Step-by-step explanation: um it just is

The required inequality is -8 > p which represents elevations below -8 meters.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

Let p be the elevation of a passage in meters.

We have to determine inequality that represents elevations below -8 meters.

According to the given question, translate the phrase into an algebraic form :

⇒ -8 > p or

⇒ p > 8

Therefore, the algebraic inequality represents the sentence " p less than eight"

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In a car wash fundraiser, the money earned varies directly with the number
of cars washed. If four cars are washed, $14 is made.. Determine how much
money is made when 15 cars are washed.

Answers

if 15 cars were washed there would be $52.50

Dominic has $600 in a savings account at the beginning of the summer. He wants to have at least $100 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. Write an inequality that represents Dominic's situation. How many weeks can Keith withdraw money from his account

Answers

Keith works 14 weeks to make $25
He can withdraw 20 weeks in his account until to reach $100. Explanation: 25 + 25 + 25 + 25 is a hundred so keep counting on your fingers until you reach $100.

What is the slope of the line graph

Answers

Answer:

[tex]m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-6, 6)

Point (6, 2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{2-6}{6+6}[/tex]Subtract/Add:                      [tex]m=\frac{-4}{12}[/tex]Simplify:                               [tex]m=\frac{-1}{3}[/tex]

The average height of a male ROTC cadet is 70 in. Suppose that 10 percent of the male cadets are taller than 72 in. Assuming that the heights of the cadets are normally distributed, what is the standard deviation

Answers

Answer:

1.56

Step-by-step explanation:

Given that :

Average height (μ) = 70 in

10% are taller than 72 in ; the standard deviation Given a normal distribution :

P(x > Z) = 0.10

Using a Z probability calculator, the Z value corresponding to P(x > Z) = 0.10 is 1.282

Z = 1.282

Using the Z relation:

Z = (x - μ) / σ

σ = standard deviation x = 72

1.282 = (72 - 70) / σ

1.282σ = 2

σ = 2 / 1.282

σ = 1.5600624

σ = 1.56

Which of these relations is a function?


Answers

the function is in the top right

THIS IS URGENT
Is 6 less than or equal to 6

Answers

it’s equal too ,, if it’s just a regular 6


Determine whether or not the relationship between x and y is proportional. Explain how you deter-
mined your answer.

(#1) please help

Answers

Answer:

Al of them are proportional

Step-by-step explanation:

If you see the first one is getting multiplied by 2 same as the second but the third is reversed.

2x,2x,-2x

Select all of the quadratic expressions in vertex form.
(x-1)2+10
(x-5)(x-4)
(x-5)2
O x2-4x+4
Ox(x - 4)

Answers

The one that is in vertex form is
x^2-4x+4

⚠️Pls Help. I’m in desperate need of answers⚠️

Answers

Answer:

bring all point according to its instruction and draw them back

Step-by-step explanation:

it's hard to explain online

1. The coins in Jada's pocket are worth 75% of a dollar. How much are they worth (in dollars)?​

Answers

Answer:

$0.75

Step-by-step explanation:

Mrs. Milavec had to take out a loan, to pay for Oreos. She borrowed $2,000 at 8% for 2 years. What is the interest Mrs. Milavec will have to pay?

Answers

Answer:

$320.00

Step-by-step explanation:

car x travels 186 in 3 hours write an equation of the linethat describes the relationship between distance and time​

Answers

Answer:

car x travels 62 miles an hour

Step-by-step explanation:

186 in 3 hours can also be represented by 186 divided by 3, and when this happens you would get 62 miles per hour

y=62x equation of the line that describes the relationship between distance and time​.

What is Speed?

Speed is the time rate at which an object is moving along a path.

Given,

car x travels 186 miles

Distance=186

Time = 3 hours

We need to find the equation of  the line that describes the relationship between distance and time​

This can be achieved by Speed  formula.

Speed=Distance/time

Speed =y/x

Speed =186/3=62

62=y/x

Now apply cross multiplication

y=62x.

Hence, y=62x equation of the line that describes the relationship between distance and time​.

To learn more on Speed click:

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26/50 as a percentage?

Answers

Answer:

52%

Step-by-step explanation:

Easy 50 is half of 100 so times 26 by two because 50 times 2 is 100 so then 26 x 2 = 52

Find the length of side x in simplest radical form with a rational denominator.
60°
X
5
30°

Answers

Answer:

10

Step-by-step explanation:

[tex]\sin 30\degree = \frac{5}{x}\\\\

\frac{1}{2}= \frac{5}{x}\\\\

x = 5\times 2\\\\

x = 10 \\ [/tex]

C+2c+c-5c+1 pls help me

Answers

[tex]c + 2c + c - 5c + 1 \\ = - c + 1[/tex]

Somebody please help me asap I need help noww

Answers

Answer:

x = -7

Step-by-step explanation:

sum of interior angles in any triangle 180°

84 + 59 + 51 = 194

180 - 194 = -14

14 ÷ 2 = -7     x = -7

check

-7 + 59 = 52

-7 + 51 = 44

84 + 52 + 44 = 180

i also got -7..........

Find the value of the variable in the parallelogram

Answers

The value is 64 hope this help

Graph the system of equations given below on the provided graph.
2x- 3y = -18
3x+ y = -5
Then, use the Mark Feature tool to plot the solution to the system.

Answers

solve for y on both equations
1st equation (blue line) is 2/3x + 6
2nd equation (red line) is -5 - 3x

they intersect at (-3,4)

The intersection of both the graphs gives the solution to the system of equations , The point of intersection is (- 3 , 4).

What is a System of Equation ?

The set of equations that have common solution is called System of Equations.

The equations given in the question is

2x -3y = -18

3x +y = -5

The graph has been plotted and attached with the answer ,

The intersection of both the graphs gives the solution to the system of equations.

The point of intersection is (- 3 , 4) , x = -3 and y = 4.

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Which coordinate grid shows Point A at (0.25, −1.75)?

Answers

Answer:

Chart B

Step-by-step explanation:

you go out .25 on the x axis and down 1.75

Answer:

im pretty sure it's a

Step-by-step explanation:

im literally doing that question

chloe has three dogs. Corky weighs twice as much as muffin.Rufus weighs twice as much as corky. the total weight of the dog is 77 pounds. how much does each dog weigh?

Answers

Answer:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

Step-by-step explanation:

Let the weight of each dog be represented as

Corky = c

Muffin = m

Rufus = r

The total weight of the dog is 77 pounds.

c + m + r = 77

Corky weighs twice as much as muffin.

c = 2m

m = c/2

Rufus weighs twice as much as corky.

r = 2c

Hence

c + c/2 + 2c = 77

3.5c = 77

c = 77/3.5

c = 22 pounds

m = c/2

m = 22/2

m = 11 pounds

r = 2c

r = 2 × 22

r = 44 pounds

Each dog weighs:

Corky = c = 22 pounds

Muffin = m = 11 pounds

Rufus = r = 44 pounds

3 3/4 divided by 5/7

Answers

I think I already answered it to you from the same question you asked earlier.

But anyways, the answer is in the image below and the steps are also in one of the images too.

Hope this helps! :)

Answer:

15/4 × 7/5

= 105/20

= 5 5/20

= simplified 5 1/4

A machine paints 340 toy boats in 15 minutes. What is the Unit rate?​

Answers

Answer:

about 22

Step-by-step explanation:

Answer:

340 boats

---------------

3/4 hours

Explanation:

Since we are asked to find the unit rate per hour, we must convert the minutes given into hours.

45 minutes⋅ 1 hour / 60 minutes = 3/4 hours

Now, we simply put the number of toy boats given in the problem over the total amount of time (in hours) required to paint them. Thus, our final answer is:

340 boats

------------

3/4 hours

Which equation describes the line that passes through the points (1, 3) and (– 2, 6)?
y = -x + 4
y = - 2x + 3
y = -x + 3
y = - 2x + 6

Answers

the first one. if you use one of the points to substitute the variables, you’ll see that the equation is true

The equation y = -x + 4 describes the line that passes through the points (1, 3) and (– 2, 6).

What is a line?

A line is a straight one-dimensional geometrical which has 0 wideness and extends infinitely in both directions. A line is also called a straight line.

A line is also called one-dimensional. It extends infinitely in both directions and has 0 wideness. It's not a shape since it has no form. although we used to represent points or lines as shapes because we need to actually analyze them, they don't actually have any form.

Given that two points (1, 3) and (– 2, 6) and asking which is the line passing through both points now if line passing then it should satisfy points.

By the cross, checking option is clear that in first option

3 = -1 + 4

3 = 3

and 6 = 2 + 4 =6 so its clear y = -x + 4 will be the correct line.

To learn more about line

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Drag each expression to show whether the product is less than 1, equal to 1, or greater than 1.

Answers

Answer:

See answer below

Step-by-step explanation:

Given the expressions

8 × 1/9, 4 × 4/5, 6 × 1/5, 9 × 1/2, 1 × 2/5, 9 × 1/9

We are to check which is less than 1, equal to 1 and greater than 1

For 8×1/9

8×1/9 = 8/9

8/9 = 0.889<1

Hence 8/9 is less than 1

For 4 × 4/5

4 × 4/5 = 16/5

16/5 = 3 1/5

3 1/5 =3.2>1

Hence 4 4/5 is greater than 1

For 6×1/5;

6×1/5 = 6/5

6/5 = 1.2 >1

Hence 6×1/5 is greater than 1

For 9 × 1/2:

9 × 1/2 = 9/2

9/2 = 4.5>1

Hence 9× 1/2 is greater than 1

For 1×2/5;

1×2/5 = 2/5

2/5 = 0.4<1

Hence 1×2/5 is less than 1

For 9×1/9

9×1/9 = 9/9

9/9 = 1

Hence 9×1/9 is equal to 1

Answer:

a2

Step-by-step explanation:

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