Jeffrey has an aquarium in the shape of a rectangular prism. He is going to place a layer of sand over the base for his iguana. The area of the base of the aquarium can be represented by the expression (42x3−14x2+21x) feet3. If the width of the aquarium is represented by the expression (7x) feet, what is the length of the aquarium?

Answers

Answer 1

Answer:

[tex]Length = 6x^2 - 2x + 3[/tex]

Step-by-step explanation:

Given

[tex]Area = 42x^3 - 14x^2 + 21x[/tex]

[tex]Width = 7x[/tex]

Required

Determine the length of the aquarium

The area of a rectangular base is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Width

[tex]42x^3 - 14x^2 + 21x = Length * 7x[/tex]

Make Length the subject

[tex]Length = \frac{42x^3 - 14x^2 + 21x}{7x}[/tex]

Factorize the numerator

[tex]Length = \frac{7x(6x^2 - 2x + 3)}{7x}[/tex]

[tex]Length = 6x^2 - 2x + 3[/tex]


Related Questions

Which of these equations is correct when x = -2?
A
x + 8 = 5
B
3x - 1 = -10
C
2x - 7 = -11
D
-95x = -190

Answers

Answer:

C

Step-by-step explanation:

just plug it into a calc

Answer:

C: 2x - 7 = - 11

Step-by-step explanation:

If you insert -2 into the place of "x", you will have 2(-2) - 7.

2(-2) = -4, and -4 - 7 = -11.

(Please I will mark BRAINLIEST, not lie)Use this equation to solve for the missing variable:
y = 8x + 12


If x = -6, y = _____

If y = 13, x = _____

Answers

y = 8x + 12

if x = -6

y = 8(-6) + 12

y = -48 + 12

y = - 36


if y = 13

13 = 8x + 12

13-12 = 8x

8x = 1

x = ¹/₈ ≈ 0.125

Answer:

If x = -6, y = -36

If y = 13, x = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

There is one equation and are asked to find x and y if there is a certain value to substitute either x or y.

Let's start with x, we know that x = -6. Meaning that we need to subtitute x for -6. Do as followed :

y = 8(-6) + 12

y = -48 + 12

y = -36

Now do y, we know that y is 13. Meaning that we need to substitute y for 13. Do as followed :

8x + 12 = 13

We need to isolate x alone, so do as followed :

Subtract 12 from both sides to get 8x alone :

8x = 1

Divide 8 from both sides to get x alone :

x = 1/8

PLEASE HELP ASAP DUE VERY SOON

Answers

Answer:

your answer will be A'B'/AB=3/1=3

Step-by-step explanation:

i hope this helps you

Answer:

3 is the correct answer......

3. Con la finalidad de contar con un alimento para animales con un valor nutritivo
más alto que el maíz común, un grupo de expertos comparan dos nuevas varie-
dades de maiz con un contenido de aminoácidos modificado llamadas opaca-2
y harinoso-2, con maíz común. Los investigadores mezclan maíz y soya para ali-
mentar animales, con 12%, 16% y un 20% de proteina. Suministran diariamente
este alimento compuesto a 10 pollos machos y anotan su aumento de peso al
cabo de 21 días. El aumento de peso de los pollos es una medida de valor nutri-
tivo del contenido del alimento, que se suministra. De acuerdo a lo anterior iden-
tifica ¿Cuál es la variable dependiente?. ¿Cuál es la variable independiente?, y
el aumento de peso que sería?
13
on qué conocimientos cuento?

Answers

What I don’t speak that language im sorry

8(-3/2x+6)=-9(4/3x-8)

Answers

the answer is 0=24 hope this helped

Please help. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answers

Answer:

59

Step-by-step explanation:

3x1.7= 5.1
5x .9 = 4.5
add it together

9.60 per mixture

Help ASAP:Solve : 0.84+91.279

Answers

Answer:

92.119

Step-by-step explanation:

0.84+91.279=92.119

Hope this helps!

Answer:

92.119

Step-by-step explanation:

Hope this helps :)

Which number is located between 1.2 and 1.4 on the number line

A) 1.19
B) 1.44
C) 1.22
D) 1.03​

Answers

Answer:

D) 1.03 (is the answer)

Step-by-step explanation:

A. ■(1.19) is not in between 1.2 and 1.4 this is wrong. B. ■(1.44) is not in between 1.2 and 1.4 this is wrong. C. ■(1.22) is not in between 1.2 and 1.4 this is wrong.D. ■(1.03) is between 1.2band 1.4 this is correct

50 POINTS IF YOU CAN ANSWER.

What is the product of 1/4x-1/2 and 5x^(2) - 2x + 6? Write your answer in standard form. Show your work. Please this is due by tomorrow :c

Answers

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Solution:

(4x2 - 2x) - (-5x2 - 8x)

= 4x2 - 2x + 5x2 + 8x.

= 4x2 + 5x2 - 2x + 8x.

= 9x2 + 6x.

= 3x(3x + 2).

Answer: 3x(3x + 2)

Find 0% of 152:
Find 100% of 152:
Find 50% of 152:
Find 25% of 152:
Find 75% of 152:

Answers

0% of 152: 0
100% of 152:152
50% of 152:76
25% of 152:38
75% of 152:114


Solve for x. Round to the nearest tenth.
Helpppp

Answers

Answer:

40

Step-by-step explanation:

40
Solve step by step

The perimeter of a rectangle is 36 feet. The length is 2 less than 3 times the width. What is the length? What is the width?

Answers

Width = x
Length = 3x-2

(3x-2)*2+2x= 36
6x-4+2x = 36
8x-4 = 36
8x/8 = 40/8
x = 5

Width = 5
Length = 3*5-2 = 13


A refrigerator costs $429 to buy and its label says that estimated energy costs are $43 per year. Another brand costs $399, but its energy costs are $48 per year. If x is the years of ownership and y is the total dollars spent, write the ordered pair (x,y) that shows at what point the owner would have spent the same amount of money on either brand.

Answers

Answer:

(6, 687)

Step-by-step explanation:

Use the Distributive Property to simplify the expression.
3(x+10)

Answers

Answer:

[tex]3x + 30[/tex]

3 times x +3 times 10

Hi, let me help you out!

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

In order to simplify this expression, we will use the Distributive Property:

—> a(b+c)=ab+ac

Simplify:

3(x+10)

Multiply 3 times x and 10:

3x+30

Hence, we conclude that the answer is: 3x+30.

I hope it helps you! Have an awesome day.

Which quadrilateral is a trapezoid?

Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.
Quadrilateral E F G H is shown. Sides F E and G H are congruent. Angles E and H have different measures.
Quadrilateral J K L M is shown. Sides J K and L M are parallel. Sides K L and J M are parallel.
Quadrilateral N O P Q is shown. Sides O N and N Q are congruent. Sides O P and P Q are congruent.

Answers

Answer:

A.   Quadrilateral A B C D is shown. Sides A B and D C are parallel. Sides A D and B C have different length measures. Angles A and D are right angles.

Step-by-step explanation:

Edge 2021

Answer:

its a

Step-by-step explanation:

100% on edge 2021

Help plsss I’m stressing out

Answers

7/8 is the correct answer
they together are 7/8 of the pizza

this is because when you put 1/4 into eights it turns into 2/8

5/8 +2/8 =7/8

True or false?

The length of the intercepted arc is equal to the circumference of the circle.

Answers

Answer:

True

Step-by-step explanation:

i’m sure the arc is just a piece of the circumference so false

| -11|>2 true or false

Answers

Answer:

Step-by-step explanation:

niet waar -11 is negatief

What is the sum of 13.75 and -11.25 ? Show your
work

Answers

Here goes the answer. Hope it helps you.

Answer:

Step-by-step explanation:

2.5

Fill in the missing decimal number.

To decrease by 14% multiply by...

Answers

To decrease by 14% multiply by 0.86

The missing decimal number to decrease by 14% is 0.86.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Percent= 14%

Now,

14% is equivalent to 0.14 as a decimal, and to decrease by 0.14 we need to subtract 0.14 from 1, which gives 0.86. So multiplying by 0.86 is the same as decreasing by 14%.

Therefore, by algebra the answer will be 0.86.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

what is 295 cents in dollars???​

Answers

Answer:

$2.95

Step-by-step explanation:

for this graph, mark the statements that are true​

Answers

A and b


Hope this helps!!!!!


Brainliest plzzzz

Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?

Answers

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths


Express (81^1/4)^3
in simplest radical form.

Answers

Your answer in simplest radical form would be 531441/64

Which of the following is a verbal
description of this expression?
2 – 3
B
А
Three less
than a number
An unknown
quantity less
than three.

Answers

Answer:  Three less than a number

Step-by-step explanation: z-3 means the three is subtracted from the unknown number.

An unknown quantity less than three. would be 3 - z or  z < 3

Answer:

A.) Three less than a number

Step-by-step explanation:

How does 8/10= 80/100

Answers

When dealing with fractions, it is important to realize that it is the quotient of the numerator and the denominator that matters. 8/10 is 0.8, and 80/100 is 0.8. if you multiply the 8/10 x 10/10, it becomes 80/100. likewise, if you reduce 80/100, it becomes 8/10.

Answer: well, they are both equal because, in this case, you take 8/10, and multiply both sides by 10. that would get you 80/100

Step-by-step explanation:

Express answer in exact form.

A segment of a circle has a 120° arc and a chord of 8√3in. Find the area of the segment.

Answers

3749.4 838.638 the answer is

Find A, B so that y = A sin(2) + B cos(2) is a solution to the differential equation
4y'' +y' + 5y = 2 cos(x).
A=
BE
Submit Question

Answers

If y = A sin(x) + B cos(x), then

y' = A cos(x) - B sin(x)

y'' = -A sin(x) - B cos(x)

Substitute these into the ODE:

4y'' + y' + 5y = 2 cos(x)

4 (-A sin(x) - B cos(x)) + (A cos(x) - B sin(x)) + 5(A sin(x) + B cos(x)) = 2 cos(x)

(-4A - B + 5A) sin(x) + (-4B + A + 5B) cos(x) = 2 cos(x)

(A - B) sin(x) + (A + B) cos(x) = 2 cos(x)

Then

A - B = 0

A + B = 2

Adding these equation gives

(A - B) + (A + B) = 0 + 2

2A = 2

A = 1   →   B = 1

A figure is shown.

What is the measure, in degrees, of PLEASE HELP ME

Answers

the answer is 121 degrees

explanation: 59+4x=180
4x=121
121 would be that angle and the other side as well because 59+121=180



hey so don’t trust me on this but i’m like 95 percent sure it’s right

Solve for a.
a
3
9
a =
= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer:[tex]\sqrt{72}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\a^2+3^2=9^2\\a^2+9=81\\a^2=72\\a=\sqrt{72}[/tex]

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