The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?

Answer:

10

Step-by-step explanation:

every day he doubles the number of sold cars compared to the previous day.

so the sequence goes along the powers of 2 :

1

2

4

8

16

32

64

128

256

512

1024 - so, latest here, of course, at least 1000 cars were sold. that would be day 11.

but - maybe we reached the total of 1000 cars already before that.

as you can see, the number of cars sold on a day is 1 bigger than the sum of cars sold on all previous days.

e.g. 8 = 4 + 2 + 1 + 1

64 ÷ 32 + 16 + 8 + 4 + 2 + 1. + 1

therefore, 1024 is bigger by 1 than the sum of the cars Sikhs before that day. so, that sum is 1023 and bigger than 1000.

so, with the 512 cars sold on day 10 he reached and surpassed the total 1000 sold cars mark.

It takes 11 days for the salesman to sell at least 1000 cars.

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

We can set up an inequality to represent the total number of cars sold after n days using a geometric series, where "a" is the initial number of cars sold, "r" is the common ratio of the series, and "n" is the number of days.

The inequality is : a(1-rⁿ)/(1-r) ≥ 1000

In this case, the initial number of cars sold is 1, the common ratio is 2, and we're trying to find the number of days it takes to sell at least 1000 cars. So we can plug these values into the inequality:

1(1-2ⁿ) ≥ 1000

1-2ⁿ ≥ 1000

2ⁿ ≤ 999

Now we can take the log base 2 of both sides

n ≤ log₂(999) +1

n ≤  9.97+1

n ≤ 11

As the number of days is an integer, it takes 11 days for the salesman to sell at least 1000 cars.

Learn more about inequalities here:

brainly.com/question/20383699

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Answer:

this is the answer Hope's it helps

Answer:

16

Step-by-step explanation:

Y=Mx+b where m is the slope and b is the y intercept

y=5x+16 where 5 is the slope and 16 is the y intercept.

Answer:

m= 17.4

Step-by-step explanation:

Answer:

cot(x)=-sqrt(3)/3

Step-by-step explanation:

I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.

Plug in:

sin^2(x)+(-1/2)^2=1

Simplify:

sin^2(x)+1/4=1

Subtract 1/4 on both sidea:

sin^2(x)=3/4

Square root both sides:

sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]

cot(x)=(-1/2)/(sqrt(3)/2))

cot(x)=-1/sqrt(3)

Rationalize denominator by multiplying by sqrt(3)/sqrt(3):

cot(x)=-sqrt(3)/3

cot(x)=

Answer:

The slope is -1/2

Step-by-step explanation:

slope is found by putting the rise over run, which is -2/4 or -1/2

Answer:

B+54

Step-by-step explanation:

If Jackie has B beads, and Sally has 54 more than that, then you are adding 54 to B

Answer:

7/10

Step-by-step explanation:

1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10 + 1/10

Answer:

7/10

Step-by-step explanation:

i dont really know how i can explain it :(

Answer:

answer is 8

Step-by-step explanation:

hope this helps

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

Answer:

Our two selected points:

-3, 3

2, -4

-4 -(3)           7

_____ = - _____ = -7/5, D is your answer

2 - (-3)         5

Answer:

54 degrees.

Step-by-step explanation:

So a fun fact is that the exterior angle is equal to the sum of the opposite two interior angles (at least within triangles).

Given this, set these values equal to each other to get the value of a.

d = a + b

2a = (a+10)+44

2a = a + 54

a = 54

The measure of the exterior angle is 54 degrees.

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

Answer:

20%

Step-by-step explanation:

40-32=8

8/40=20%

This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.

Answer:

32 are eaten so we need to eliminate that from the total pieces.

40 - 32 = 8 are not eaten YET

8/40 since there are 8 out of 40(in total) that are not eaten

Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.

Brainliest is appreciated.

Answer is 2

If 8x = 16y

on rearranging question,

x/y = 16/8 = 2

Answer:

[tex] k = 24 \sqrt{2} [/tex]

Step-by-step explanation:

Given is a 45° - 45° - 90° triangle.

According to the 45° - 45° - 90° triangle theorem, measure of the side opposite to 45° angle is equal to [tex] \frac{1}{\sqrt 2} [/tex] times of the hypotenuse.

[tex]\therefore 24 = \frac{1}{ \sqrt{2} } k \\ \\ \therefore \: 24 \sqrt{2} = k \\ \\ \therefore \:k = 24 \sqrt{2} [/tex]

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24*[tex]\sqrt{2}[/tex] =k*1

24[tex]\sqrt{2}[/tex] =k

Answer:

I think it’s (4)

Step-by-step explanation:

Not sure but thats the only close answer I got

Answer:

v<31

Step-by-step explanation:

Simplify

v-6<25

We want to isolate x.

v<25+6

Simplify

v<31

If this helps please mark as brainliest

Answer:

total cost = amount paid + tax paid + tip

total cost = $23.40 + 1.872 + $3.51

Step-by-step explanation:

Chris went out to dinner. His total bill before tax and tip was $23.40 He was charged an additional 8% tax and he also paid 15% tip on the original bill. Write an expression that will show the total cost including tax and tip.

total cost = amount paid + tax paid + tip

tax paid = 8% x $23.40

0.08 x $23.40 = $1.872

tip = 15% x original bill

0.15 x $23.40 = $3.51

total cost = $23.40 + 1.872 + $3.51

Answer:

D is the correct answer

Step-by-step explanation:

Please mark me as brainlist thanks

Answer:

42

Step-by-step explanation:

15/4 x 2/1 x 28/5 = 840/20 = 42

Answer:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Step-by-step explanation:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Answer:

x = 18

Step-by-step explanation:

Both angles together make 180, they are essentially supplementary angles thou not on the same line.

Set your formula up as

81 + 5x + 9 = 180

5x = 180 - 81 - 9

5x = 90

x = 90/5

x = 18

Answer:

11/12 should be the correct answer!

Step-by-step explanation:

Let's make the denominator the same!

Lcm of 3 and 4 is 12

sooo... multiply

2/3 x 4/4 = 8/12

1/4 x 3/3 = 3/12

8/12 + 3/12 = 11/12

Answer:

128 times

Step-by-step explanation:

32 / 50 = 0.64

0.64 * 200 = 128

128 times out of 200

Answer:

4. - 3

5. 5 / 11

6. - 2

Step-by-step explanation:

4.

9 / x = - 3

x = 9 / - 3

x = - 3

5.

11 = 5 / x

x = 5 / 11

6.

- 2 = 4 / x

x = 4 / - 2

x = - 2

Answer:

1.632 ft cubic

Step-by-step explanation:

Volume = width * height * length

Volume = 0.6 * 0.8 * 3.4

Volume = 0.48 * 3.4

Volume = 1.632 ft cubic

Hope this helps.....

Have a good day ahead :)

Answer:

80 Ft²

Step-by-step explanation:

Area= length x width

length= 10 feet

width= 8 feet

A= 10 × 8

A= 80 Ft²

squared because it's feet multiplied by feet

Ft × Ft= Ft²