2 4/10?
round to nearest whole number

Answer:

yes, he still needs all the buses he hired

Step-by-step explanation:

768 people/56 people per bus = 13.71, so 14 buses

768 - 19 = 749 people going

749people/56 people per bus = 13.37, so still need 14 buses

Answer:

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Step-by-step explanation:

First, we decompose the number given on statement by applying prime numbers in ascending order. We see that 200 is an even number, therefore, we infer that smallest prime number within is 2.

1) [tex]\frac{200}{2} = 100[/tex] (Even number)

2) [tex]\frac{100}{2} = 50[/tex] (Even number)

3) [tex]\frac{50}{2} = 25[/tex] (Even number)

4) [tex]\frac{25}{5} = 5[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

5) [tex]\frac{5}{5} = 1[/tex] (Odd number, not a multiple of 3, but a multiple of 5 since last digit is 5)

Now, we construct the prime factorization using exponential notation:

[tex]200 = 2^{3}\times 5^{2}[/tex]

The prime factorization of 200 using exponential notation is [tex]2^{3}\times 5^{2}[/tex].

Answer:

2 * 3 * 5

Step-by-step explanation:

made a 100 on the text trust!!!!!

Answer:

(0, 4 ) and (2, - 4 )

Step-by-step explanation:

(2)

3x + 4y = 16 → (1)

- 3x + 2y = 8 → (2)

Adding (1) and (2) term by term will eliminate the x- term

0 + 6y = 24

6y = 24 ( divide both sides by 6 )

y = 4

Substitute y = 4 into either of the 2 equations and solve for x

Substituting into (1)

3x + 4(4) = 16

3x + 16 = 16 ( subtract 16 from both sides )

3x = 0 , then

x = 0

solution is (0, 4 )

(3)

2x - 4y = 20 → (1)

5x + 4y = - 6 → (2)

Adding (1) and (2) term by term will eliminate the y- term

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

5(2) + 4y = - 6

10 + 4y = - 6 ( subtract 10 from both sides )

4y = - 16 ( divide both sides by 4 )

y = - 4

solution is (2, - 4 )

Answer:

Step-by-step explanation:

The Cauchy integral formula states that the values of a holomorphic function inside a disk are determined by the values of that function on the boundary of the disk. More precisely, suppose f : U → C f: U \to \mathbb{C} f:U→C is holomorphic and γ is a circle contained in U.

Answer:

y = 2x - 1

Step-by-step explanation:

-1 is the y-intersect of the slope

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Answer:

B

Step-by-step explanation:

You can use Desmos to help with questions like these :)

Answer:

[tex]\boxed{12u^3+8u^2-6u+9}[/tex]

Step-by-step explanation:

[tex](8u^3+8u^2+6)+(4u^3-6u+3) = 8u^3+8u^2+6+4u^3-6u+3[/tex]

Once

[tex]8x+4x = 12x, \text{ as } x = u^3[/tex]

[tex]8u^3+8u^2+6+4u^3-6u+3 = 12u^3+8u^2+6-6u+3 = \boxed{12u^3+8u^2-6u+9}[/tex]

You don't need to factor.

Answer:

523.3

Step-by-step explanation:

The volume of a cone is 1/3 hB where h is the height and B is the area of the base.

Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314

Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3

Answer: 220 miles

Step-by-step explanation:

Let's write the equations for each case:

A Hertz Rent-a Car:

Charges a fixed amount of $40, plus a $0.10 per mile.

Then if you drive x miles, we get a total cost of:

C(x) = $40 + $0.10*x

Enterprise Rent-A-Car:

Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:

K(x) = $18 + $0.20*x

Now, we want to find how many miles you can drive such that you would pay the same in both companies.

Then we need to find x such that:

C(x) = K(x)

$40 + $0.10*x = $18 + $0.20*x

Let's solve this for x.

$40 - $18 = $0.20*x - $0.10*x

$22 = ($0.20 - $0.10)*x

$22 = $0.10*x

$22/$0.10 = x

220 = x

So if you drive exactly 220 miles, you would pay the same in both companies.

Answer:

7 hours and 15 minutes.

Step-by-step explanation:

Draw a timeline for this question.

8.30 + 7 hours = 3.30pm or 15 30

3.30 + 0.15 minutes = 3.45 or 15 45

7 hours + 0.15 minutes = 7 hours and 15 minutes.

Answer:

look at the picture i sent...........

25x65=1625

1625/73=22.26

Given:

Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]

Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]

Find the number of ways for equally distributing candy to all 5 children

Using formula:

[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]

Calculating the distributing way for strawberry candy:

[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]

           [tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]

Calculating the distributing way for rhubarb candy:

[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]

           [tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]

Adding both distributing ways:

[tex]\to \bold{56+21=77}[/tex] ways

Learn more:

probability: brainly.com/question/23044118

Answer:

1.5 moles

Step-by-step explanation:

number of moles = no. of particles / Avagadro number

therefore, number of moles. = 9.033 * 10^23 / 6.022 * 10^23

therefore, no. of moles = 1.5

There are 1.5 moles in 9.033 * 10^23 Lithium atoms.

Answer:

It has infinite length, but no width and no thickness (It describes a Line )

Hope it helps...

Have a great day :P

Answer:

the answer is 3/6 cause you go up 3 and over 6

Answer:

The answer for  4+2×3²-9​ is 13

Step-by-step explanation:

4+2×3²-9​=13

Answer:

4+2×3-9 i think forgot

Step-by-step explanation:

Answer:

50.04

Step-by-step explanation:

Answer: 3.11

Step-by-step explanation:

khan academy hint.

Answer:

1/8th of a foot

Step-by-step explanation:

All you have to do is divide the 5 feet by how ever many sections there are in this case it's 8.

5 / 8 = 0.625 = 1/8

Answer:

37:31 or any other way of writing 37 to 31

Step-by-step explanation:

Write the ratio the same way the question asks, there are 37 girls and 31 boys. This cannot be simplified.

Answer:

Step-by-step explanation:

Average price of a two bedroom apartment can be approximated by the equation,

p(t) = [tex]0.12e^{0.10t}[/tex]

Here, t represents the duration from year 1994.

Duration from year 1994 to year 2004 = 10 years

p(10) = [tex]0.12e^{0.10\times 10}[/tex]

        = 0.12e

        = 0.3262

        ≈ 0.33 million

Cost of the apartment in 2004 was 0.33 million.

Let the equation to calculate the rate of increase in the price is,

p(t) = [tex]0.12(1+\frac{r}{100})^t[/tex]

Cost of the apartment after 10 years = 0.33

0.33 = [tex]0.12(1+\frac{r}{100})^{10}[/tex]

[tex]\frac{0.33}{0.12}=(1+\frac{r}{100})^{10}[/tex]

2.75 = [tex](1+\frac{r}{100})^{10}[/tex]

[tex](1+\frac{r}{100})=(2.75)^{0.10}[/tex]

1 + [tex]\frac{r}{100}=1.106[/tex]

[tex]\frac{r}{100}=0.106[/tex]

r = 10.6%

Therefore, price of the apartment is increasing with 10.6%

Answer:

48

Step-by-step explanation:

Area of a triangle is 1/2(base*height)

Plug in:

1/2(6*16)

1/2(96)

48

Answer: 1,600 cm

~ i really hope that this is correct, have a gr8 day my friend!~

Step-by-step explanation:

Answer:

You should study hard and look through the test first to answer the ones you do know and then go back to the ones you don't know. Also if you use any methods or anything related to help with math try to use those through. Therefore try your best and just prepare for it, and always have supplies.

Answer:250 feet

Step-by-step explanation: a rectangle has four sides, now you have two numbers, 70 and 50. so you do  4÷2 = 2 now take 2 a multiply it 70(140) now do it with 50(100) now add em (250) it is how i do it

13-8=5

8-5=3

3-5=-2

-2-5=-7

etc.

Just keep subtracting 5 until you have the 18th term

---

hope it helps

Answer:

-77

Step-by-step explanation:

Reasoning:

Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77

Answer:

Step-by-step explanation: