The total bill was 56.25. how much would the bill be if 7 % tax was added

Corry's conjecture is right, and the volume follows a pattern

The volume of a cube of side length l is:

[tex]V = l^3[/tex]

For the first cube of length 1 in, the volume is:

[tex]V = 1^3[/tex]

[tex]V = 1[/tex]

For the second cube of length 2 in, the volume is:

[tex]V = 2^3[/tex]

[tex]V = 8[/tex]

For the third cube of length 1 in, the volume is:

[tex]V = 3^3[/tex]

[tex]V = 27[/tex]

So, the total volume is:

[tex]Total =1 + 8 + 27[/tex]

[tex]Total =36[/tex]

The volume of a rectangular prism of base lengths 6 in and height 1 in is:

[tex]Volume = 6^2 \times 1[/tex]

[tex]Volume = 36[/tex]

Assume, he adds a cube of side length 4 in, the volume is:

[tex]V = 4^3[/tex]

[tex]V = 64[/tex]

The total volume would be:

[tex]V =36 + 64[/tex]

[tex]V =100[/tex]

The base length of the rectangular prism would be:

[tex]Length =1+2+3+4[/tex]

[tex]Length =10[/tex]

The volume of the rectangular prism would be:

[tex]Volume = 10^2 \times 1[/tex]

[tex]Volume = 100[/tex]

So, the pattern is:

Cubes                Volumes

1, 2, 3                    36

1, 2, 3,4                  100

Corry's conjecture is right, and the volume follows a pattern

Read more about conjectures at:

https://brainly.com/question/4125198

Answer:

A rectangular garden has dimensions of 19 feet by 16 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 246 square feet?

OA 5ft

OB. 3 ft

OC. 41

OD. 5.5 ft

Answer:

1/16 of the cereal is in each bowl

Step-by-step explanation:

Answer:

1/8  

Step-by-step explanation:

1/2 / 4

= 1/2 * 1/4

= 1/8.

Answer:

D

Step-by-step explanation:

When 2 angles are congruent and corresponding, the lines are parallel

Answer:

The total would come out to be $105.66

Step-by-step explanation:

Answer:

87.50%5=17.50=5%

Step-by-step explanation:

87.50%5=17.50      

17.50x3=52.5

52.50

Answer:

849,400

Step-by-step explanation:

hi

Answer:

I thinks it 849,400 bc you would round it up because it over half

Answer: Check the answers below

Step-by-step explanation:

Remember: slope is rise/run

1) 3/15 = 0.2 ft

2) 4/3

3) 2

4) 6/8

5) 2/9

Answer:

All real numbers (infinite solutions)

Step-by-step explanation:

To find the number of solutions, first, distribute and combine the like terms of the equation.

3(x+1)+x+2=2(2x+1)+3

3x+3+x+2=4x+2+3

4x+5=4x+5

Since both sides of the equation are equal, the number of solutions are infinite.

Answer:

y=x+4

Step-by-step explanation:

Answer:

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

Step-by-step explanation:

First term is [tex]-2[/tex]

The term to term rule is 'square and subtract [tex]3[/tex]'

Second term[tex]=(-2)^{2} -3=1[/tex]

Third term[tex]=(1)^{2} -3=-2[/tex]

Fourth term[tex]=(-2)^{2} -3=1[/tex]

Fifth term[tex]=(1)^{2} -3=-2[/tex]

Sixth term[tex]=(-2)^{2} -3=1[/tex]

The first six numbers are [tex]-2,1,-2,1,-2,1[/tex]

Answer:

70%

Step-by-step explanation:

Percentage is out of 100

35/50 change denominator

multiply both numerator and denominator by 2

70/100= 70%

Answer:

Answer: 2

Step-by-step explanation:

[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]

Answer:

c

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

The lines never meet, there for have no intersection point leading to no solution for the system of equations.

Hope that helps

Answer:

18 minutes

Step-by-step explanation:

7.2 litres is 7200ml

each minute 400ml leaves the tank

so the question being asked is how many 400's are there in 7200...

7200 divided by 400 is 18.

Rearrange the equation by writing

x² + x - 90 = 0

x² + x = 90

x² + x + 1/4 = 90 + 1/4

Recall that (a + b)² = a² + 2ab + b². Then

x² + 2 • x/2 + (1/2)² = 361/4

(x + 1/2)² = 361/4

x + 1/2 = ± √(361/4)

x = -1/2 ± 19/2

x = 9   or   x = -10

Answer:

170years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

Step-by-step explanation:

option C is correct

hope this answer helps you! take care

Answer:

0ption C is correct hope it correct have good day

Step-by-step explanation:

Answer:

just use algebraic expression

Answer:

C

Step-by-step explanation:

Answer:

  9:50

Step-by-step explanation:

It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...

  ? - 8:58 = 0:52   ⇒   ? = 8:58 +0:52 = 9:50

  10:43 -? = 0:53   ⇒   ? = 10:43 -0:53 = 9:50

The missing time is 9:50.

Answer:

substitute 1 for t

Step-by-step explanation:

Step-by-step explanation:

math question ? really ?

while it is true, as the other answer indicated, that experimental and practical are not the same, but the meaning of the words is different to what the other answer suggested.

please read the question again.

this is about "experimental" vs. "practical".

so, we are only dealing with adjectives (describing associated nouns).

something is "experimental", if it already exists, but it is not clear yet, if it will fulfill its intended purpose. only time and experience in using and applying that thing will tell us.

example : experimental drugs.

something is "practical" on the other hand, if we are not wondering about the effects of the existing thing but its usability. it is "practical", if this thing or method or operation guideline or ... is not too complicated to do, and any potentially necessary resources are relatively easily available and obtainable.

Answer:

Step-by-step explanation:

Answer:

x=-38

Step-by-step explanation:

-19*2=-38

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