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2 years ago

An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.

Mathematics

2 answers:

Eddi Din [679]2 years ago

8 0

Answer:

(1, 5]

Step-by-step explanation:

Lina20 [59]2 years ago

5 0

Answer:

$x^3+x^2-2x\leq140$

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth= (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

$2x*(x -1) * (x + 2) \leq 280\\\\$

open the brackets

$2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280$

divide through by 2 we have

$x^3+x^2-2x\leq140$

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Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.

Ede4ka [16]

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Solving

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

#learnwithBrainly

5 0

2 years ago

Read 2 more answers

A log is 16m long, correct to the nearest metre. It has to be cut into fence posts which must be 70cm long, correct to the neare

dmitriy555 [2]

Answer:

25 posts

Step-by-step explanation:

So the number of fence post would be the total length of the log divided by the length of each post. As the log is 16m and is corrected to the nearest metre, it could possibly be 16.499m. As for the post that is 70 cm long and corrected to the nearest 10cm, it may as well be 65 cm (or 0.65m) each post

So the max number of fence point once can possibly cut from the log would be

16.499 / 0.65 = 25 posts

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2 years ago

Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i

kap26 [50]

Answer:

The z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34 45 to 54

1329 2268

1906 1965

2426 1149

1826 1591

1239 1682

1514 1851

1937 1367

1454 2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01$

Compute the z-score for the group "25 to 34" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37$

Compute the mean and standard deviation for the group "45 to 54" as follows:

$\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39$

Compute the z-score for the group "45 to 54" as follows:

$z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25$

Thus, the z-score for the group "25 to 34" is 0.37 and the z-score for the group "45 to 54" is 0.25.

8 0

2 years ago

The picture below shows Annie and her younger brother Tommy’s money. They want to combine their money to buy something together.

Inga [223]

Answer:

$5.47

Step-by-step explanation:

Given data:

Annie has 4 dollar , 11 dimes, 4 pennies.

Tommy has 3 dimes, 3 pennies.

To add the money, let us first convert dime and penny into dollar.

1 dollar = $1

11 dime = $1.1

4 penny = $0.04

3 dime = $0.3

3 penny = $ 0.03

Total money = Annie’s money + Tommy’s money

= $4 + $1.1 + $ 0.04 + $0.3 + $0.03

= $5.47

So, they have $5.47 in all.

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2 years ago

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After all costs are split evenly, how much does Max owe Becky? Help please tysm!

raketka [301]

The question is Max owes Becky for the movie how much.. the pizza information is a distractor.

Max has a coupon for 1/2 off a third movie ticket when 2 are purchased for regular price of $9.80

2 x (9.80) + 1/2 x (9.80) = 19.60 + 4.90 = $24.50 total all 3 tickets

Since they agree to split the cost equally, divide total cost by 3
24.50 / 3 = $8.16 each

The answer is: Between $8 and $10

8 0

2 years ago

Read 2 more answers