A fish tank, shaped as a cube, has a volume of 36 liters, or 2, 197 in What are the dimensions of the fish
tank in inches? Use paper to show your work.

Step-by-step explanation:

apter 5 – Finance – The first part of this review will explain the different interest and

investment equations you learned in section 5.1 through 5.4 of your textbook and go through

several examples. The second part of this review will give you various sample problems to work

on – you should know how to do all these sample problems for Exam II. The sample exam is

posted to the Math 113 webpage – please come to the Math Resource Center if you need help!

The sum of money you deposit into a savings account or borrow from a bank is called the

principal. The fee to borrow money is called interest. When you borrow money you pay back

the principal and interest to your lender. When you deposit money into a savings account or

other investment, the bank pays you back the principal and the interest earned. Interest is

calculated as a percent of the money borrowed, a percent of the principal. Depending on the type

of loan, interest can be calculated in a variety of ways.

Simple Interest Loans (Section 5.1) :

Simple Interest involves a single payment and the interest computed on the principal only. The

equation for simple interest is a linear function. If the problem refers to a simple interest rate,

then you know you need to use simple interest rate formulas.

Equation #1:

:

Pr

where

I = t

I = the amount of interest paid for borrowing the money

P= the principal or the amount of money you borrowed from the bank

r = is the simple interest rate – this is a per annum rate (i.e. yearly)

t = the amount of time the money is borrowed for – this needs to be in years if the problem gives

you t in months then you need to divide the number of months by 12 to convert t into years.

Equation #2:

A = (P+Prt)=P*(1+rt)

where:

A = the future value - the total amount the borrower owes at the end of the loan period – this is

Principal plus Interest.

I = the amount of interest paid for borrowing the money

P= the principal or the amount of money you borrowed from the bank

r = is the simple interest rate – this is a per annum rate (i.e. yearly)

t = the amount of time the money is borrowed for – this needs to be in years if the problem gives

you t in months then you need to divide the number of months by 12 to convert t into years.

Equation #3:

I = A – P

where:

A = the total amount you owe at the end of the loan period – this is Principal plus Interest.

I = the amount of interest paid for borrowing the money

Answer:

y = 2x - 13

Step-by-step explanation:

Slope intercept equation of a line

y = mx + b

m is the slope = 2

y = 2x + b

To find "b" plug in the given point (4, -5)

-5 = 2(4) + b

-5 = 8 + b

Subtract 8 from both sides

-13 = b

Using m = 2 and b = -13 the equation becomes

y = 2x - 13

Answer: Y=2x-13

you can use the point slope form to solve something like this or you can use desmos to help with graphing

Answer: D

Step-by-step explanation:

Answer: The radius would be twelve

Step-by-step explanation:

The radius of a sphere would be 12 cm. By putting the value of volume we can find the radius of the sphere. The radius of a sphere would be 12 cm.

Given:

The value is [tex]\sqrt{90}[/tex].

To find:

The two consecutive whole numbers such that [tex]\sqrt{90}[/tex] lies between those numbers.

Solution:

The perfect square numbers between 1 to 100 are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

We know that, 90 lies between 81 and 100.

[tex]81<90<100[/tex]

[tex]9^2<90<10^2[/tex]

The value of x radical cannot be negative. So taking square root on each side, we get

[tex]\sqrt{9^2}<\sqrt{90}<\sqrt{10^2}[/tex]

[tex]9<\sqrt{90}<10}[/tex]

The given number lies between 9 and 10. Therefore, the correct option is (d)

Answer:

1/6

Step-by-step explanation:

Since There are 6 marbles in total and possibly one red marble than its 1/6.

Im not sure if that makes sense but i hope it does :)

Answer:

4.5 ft³

Step-by-step explanation:

Volume = 1/2(LxWxH)

1/2( 1.5 x 2) * 3  = 1.5 x 3 = 4.5 ft ³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

48

Step-by-step explanation:

6+6+12 = 24

192/24 = 8

8*6 = 48

(Ratio is 48:48:96)

Answer:

48

Step-by-step explanation:

48

Step-by-step explanation:

6+6+12 = 24

192/24 = 8

8*6 = 48

(Ratio is 48:48:96)

sorry I copied you harpsickle213 but i needed the 7 points

Answer:

2

Step-by-step explanation:

2/3 plus 2/3 equals 1 and 1/3

Answer:

240 cubic units

Step-by-step explanation:

Given data

Length= 8

Width= 6

Height= 5

Hence the expression for the volume is

Volume= L*W*H

Volume= 8*6*5

Volume= 240 cubic units

Answer:

a) the cost of one medium drink be $3.80

b) the cost of a large popcorn be $6.25

Step-by-step explanation:

Let the cost of one medium drink be $x and the cost of a large popcorn be $y

According to question, A couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85      ..............(1)

A family bought 3 medium drinks and 2 large popcorn for a total of $23.90

3x + 2y = 23.90      ..............(2)

Using Elimination method to solve the system of equation. Multiply equation (1) by 2 , we get,

4x + 2y = 27.70      ..............(3)

Now, subtract equation (2) from (3), we get,

4x + 2y-(3x + 2y) = 27.70 - 23.90

4x + 2y-3x - 2y = 3.80

4x -3x = 3.80

x = 3.80

Substitute, x = 3.8 in (1) ,

2(3.80) + y = 13.85  

7.60 +y = 13.85

y = 6.25

Therefore, the cost of one medium drink be $3.80

and the cost of a large popcorn be $6.25

Answer:

without doing the math, we can affirm that the percent in decrease in the price of the gloves is not the same as the percent increase of the goggles. decreasing $2 from $10 will have a lower decrease than an increase of $2 from $8 since $2 represents a higher portion of $8 compared to $10

Step-by-step explanation:

(please give brainliest, much appreciated)

Answer:

Angle of elevation of sun = 59°

Step-by-step explanation:

Given:

Height of tree = 20 feet

Shadow of tree on ground = 12 feet

Find:

Angle of elevation of sun

Computation:

Height of tree = Perpendicular

Shadow of tree on ground = Base

Using trigonometry function;

Tanθ = Perpendicular / Base

Tanθ = 20 / 12

Tanθ = 1.66

Tanθ = Tan 59°

θ = 59°

So,

Angle of elevation of sun = 59°

Answer:

Step-by-step explanation:

mark brainlist plz

Answer:

he defenition of a rectangle is that it has 4 angles that measure 90 degrees

ther are infinite legnths and inifinite numbers

intinite side legnths so infinite number of unique rectanglesStep-by-step explanation:

Answer:

hey your answer would be   3x • (2x2 - 1)

please tell me if im wrong

Step-by-step explanation:

Answer:

48.26 cm

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

6(x+3)=21

Step 1: Distribute 6 into (x+3)

6(x) = 6x

6(3) = 18

We're left with 6x+18=21

Step 2: Subtract 18 from 21

6x=21-18

6x=3

Step 3: Divide each side by 6 to isolate x

x=3/6

Step 4: Simplify

x=1/2

Answer:

So, first you multiply 6 times x. You'll get 6x, then you multiply 6x3. You get 18. If we reverse the equation we get 21-18=3, 6x1/2=3. Therefore x=1/2

Step-by-step explanation:

18cm×2=36cm

13cm×2=26cm

36+26=62cm

answer =62cm

I’m sorry I tried my best but I didn’t get the correct answer

Answer:

w + 1.3 = 2.7

Answer:

The length and width dimensions of solid 'a' are multiplied by 2 while the height remains the same to get the representative quantity in solid, b

Step-by-step explanation:

The given parameters of solid 'a' are;

The shape of solid, a = Right, rectangular prism

Let 'l' represent the length of solid 'a', let 'w' represent the width of solid 'a' and let 'h' represent the height of solid 'a'

We have;

The length of solid, [tex]l_b[/tex] = 2·l

The width of solid, [tex]w_b[/tex] = 2·w

The height of solid, [tex]h_b[/tex] = h

Given that we have;

The length of solid, b = 2 × The length of solid, a

The width of solid, b = 2 × The width of solid, a

The height of solid, b = The height of solid, a

The dimensions of length and width of each quantity in solid 'a' will be multiplied by 2 to find the dimension of a similar quantity in solid 'b'

The change in volume from solid 'a' to solid 'b' is given as follows;

The volume of solid, 'a', Vₐ = l × w × h = l·w·h

The volume of solid, 'b', [tex]V_b[/tex] = 2·l × 2·w ×h = 4·l·w·h

[tex]V_b[/tex] = 4 × Vₐ

Therefore, the volume of each unit volume in solid 'a' is multiplied by 4 to get the volume of the image of the unit volume in solid 'b'

The cross sectional area of solid 'a', Aₐ = l × w

The cross sectional area of solid 'b', [tex]A_b[/tex] = 2·l × 2·w = 4·l·w

[tex]A_b[/tex] = 4 × Aₐ

The cross sectional area of each unit of solid 'a' is multiplied by 4 to get the image of the unit cross sectional area in solid 'b'.

Therefore;

The change in the height and width of of solid 'b' is equal to a change in twice the height and width of solid 'a' at a given height, 'h'

The relationships are;

[tex]l_b[/tex] = 2·l, [tex]w_b[/tex] = 2·w, [tex]h_b[/tex] = h

Answer:

Step-by-step explanation:

-5

5

Answer:

-5 and 5

Step-by-step explanation:

I used a graphing program to graph the function.

The x-intercepts of the graph are (-5, 0) and (5,0).

The zeros of the function are -5 and 5.

Hope this helps.

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2x=10

divide through by 2

2X/2=10/2

X=5.

prove: 2x is simply 2 multiplied by the value of X.

when X is 5, it means 2 X 5= 10

The value of x makes the equation 2x = 10 true is x=5.

The given equation is

2x=10

We have to determine the value of x

We have to apply the opposite operation of multiplication.

The division is the opposite operation of multiplication.

divide through by 2

2X/2=10/2

X=5.

2x is simply 2 multiplied by the value of X.

when X is 5, it means 2 X 5= 10.

To learn more about the equation visit:

https://brainly.com/question/2972832

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Answer:

[tex]19.5\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.

Solving for [tex]V[/tex]:

[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]

The answer on deltamath is

19.5m^3