What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3

Answer:

27 oak trees

Step-by-step explanation:

Answer:

The mileages for which company A charge less than company B when , y  50 .

Step-by-step explanation:

Given as :

The two truck companies have following prices

Company A

The initial fee = i = $110

And unlimited mileage

Company B

The initial fee = I = $65

Additional charge = $0.90 per mile driven

Let it driven x mile

Let The mileages for which company A charge less than company B = y

Now, According to question

Charges of company A = charges of company B

i.e i = I + 0.90 × x

Or, $110 = $65 + 0.90 × x

Or, $110 - $65 = 0.90 × x

Or, $45 = 0.90 × x

∴    x =  

i.e  x = 50

i.e.  Company B driven x = 50 miles

So, the mileages for which company A charge less than company B = y

And y x

i.e. y 50

Hence, The mileages for which company A charge less than company B when, y 50. Answer

Step-by-step explanation:

Hope this helps:)

Answer:

95

Step-by-step explanation:

100 divided by 5 plus 25 times 3 is 95 :)

100/5=20

25x3=75

75+20=95

95

Answer:

  B) there is a single point of solution

Step-by-step explanation:

If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.

The amount of Plutonium that remains after 36 months is 0.05

The equation for the amount of Plutonium after t months is

[tex]\mathbf{P(t) = 12e^{-0.1507t}}[/tex]

After 36 months; we have: t = 36.

Substitute 36 for t in P(t).

So, we have:

[tex]\mathbf{P(36) = 12e^{-0.1507 \times 36}}[/tex]

Simplify the exponent

[tex]\mathbf{P(36) = 12e^{-5.4252}}[/tex]

Evaluate the exponent

[tex]\mathbf{P(36) = 12 \times 0.004404}[/tex]

Multiply

[tex]\mathbf{P(36) = 0.052848}[/tex]

Approximate to 2 decimal places

[tex]\mathbf{P(36) = 0.05}[/tex]

Hence, the amount that remains is 0.05

Read more about exponential functions at:

https://brainly.com/question/11487261

Answer:

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

[tex] = \frac{2}{3} x[/tex]

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

[tex] = > \frac{2}{3}x = 20[/tex]

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

=> x = 30

Hence,

The req. number is 30.

Given that :

To Find :

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.

Answer:

yes!

Step-by-step explanation:

Answer:

fuctions and constants

Step-by-step explanation:

please mark as brainliest if it helped :D

Answer:

150

Step-by-step explanation:

The ration is 2/3 in this example means they are twice as many boys than girls. If boys = 2/3, than girls = 1/3.

So, to find the answer, you must multiply 75 by 2, which is 150.

You don't need this, but they are 75 + 150 = 225 boys and grils in grade 10.

Answer:

Yes

Step-by-step explanation:

Answer:

- 162, 486, - 1458

Step-by-step explanation:

To find the next term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then

T₄ = T₃ × - 3 = 54 × - 3 = - 162

T₅ = T₄ × - 3 = 486

T₆ = T₅ × - 3 = - 1458

[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]

[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]

Answer:

C

Step-by-step explanation:

For the first part, a velocity graph would show the constant velocity, and the curve represents the constant negative acceleration, which could be seen on a acceleration graph. The final part after the curve shows the 0 velocity because the position is constant.

Answer:

Find the Circumference!

Step-by-step explanation:

Finding the circumferenfe is pretty simple!

On this question, it looks like the diameter is 14!

take the circumference and divide it by 2

14/2

Take the answer and multiply it by PI (3.14).

7 * 3.14 = 21.98

Answer:

Step-by-step explanation:

1

Answer:

There would be $5,372.99 in Camilla's account after 4 years.

Step-by-step explanation:

Total Principal $5,000.00

Total Interest $372.99

* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%

Camilla will have approximately $5,454.41 in her account after 4 years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.

Now, After 4 years, the investment will grow to:

= $5,000 (1 + (1.8%/12))¹²ˣ⁴

= $5,000 (1 + (1.8%/12))⁴⁸

= $5,454.41

Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.

So, Camilla will have approximately $5,454.41 in her account after 4 years.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

Step-by-step explanation:

A whole can be represented as 2.000 and so on, while a decimal number is represented as 3.14 when the numbers after the decimal point can be different of 0.

So when you multiply two decimal numbers check the total number of number after the decimal point and sum these amounts.

Example:

Suppose the next two numbers 12.88 and 3.1 both have different amounts of number after the decimal point, but with the simplification we can see that the final answer contain 3 decimal places.

But, why this work? Well remember that a decimal can be represented as a fraction of this way

[tex]\frac{1288}{100} \quad \text{and} \quad \frac{31}{10}[/tex]

So if you does the product of these fractions you get the next value:

[tex]\frac{39928}{1000} = 39.928[/tex]

Where the total number of numbers after the decimal point is equal to the power of 10 in the denominator that's mean equal to 3. However this method take more time, so is more simply say that the total of numbers after the decimal point is the sum of the total of numbers after the decimal point of each decimal number.

Answer:

Is 35.5

Step-by-step explanation:

Pls give brainliest

Answer:

35.5 Lbs.

Step-by-step explanation:

You would just take 142 and divide that by 4 and you will get the weight of 1 bag. It would be 35.5 pounds.

9514 1404 393

Answer:

  (c)  ΔTRS

Step-by-step explanation:

Perhaps the easiest way to find corresponding vertices is to look at the angle markings:

  1 mark: angles J and T

  2 marks: angles K and R

  3 marks: angles I and S

Then, in order of corresponding angles, we have ...

  ΔJKI ≅ ΔTRS

Answer:

D. x - 5

Step-by-step explanation:

The text said that Sienna's hight is LESS than her brothers hight and less = minus

Answer:D

Step-by-step explanation:hope i helped i love helping people like you. :)

Answer:

distance, speed, time, temperature , work, energy, charge, voltage are all scalar quantities. Displacement, velocity, acceleration, force, electromagnetic field are all vector quantities.

Step-by-step explanation:

Displacement and velocity.

Usually a company may charge a startup fee, is a charge for some things they need to do to start the service, in this case may just be paperwork, and it's $19.95, a fixed cost, and they're charging 17 cents or $0.17 for every mile driven, let's say that Molly is going to drive "m" miles, so the cost equation in "m" terms will be C(m) = 19.95 + 0.17m.

Now, we know she only has 40 bucks to spend, so, if she can keep her Cost to 40 bucks, how many miles can she go for?

[tex]C(m) = 19.95+0.17m\qquad \qquad \stackrel{\stackrel{cost}{\downarrow }}{40}=19.95+0.17m\implies 20.05=0.17m \\\\\\ \cfrac{20.05}{0.17}=m\implies 117.94\approx m[/tex]

now, if we were to round that up to whole miles, it'd be only 117.

Answer:

990- YES, YES, NO,YES, YES, NO, YES, YES, YES

1586- YES, NO, NO, NO, NO, NO, NO, NO, NO

275- NO, NO, NO, YES, NO, NO, NO, NO, YES

6686- YES, NO, NO, NO, NO, NO, NO, NO, NO

639210- YES, YES, NO, YES, YES, NO, NO, YES,YES

429714- YES, YES, NO, NO, YES, NO, YES, NO, NO

2856- YES, YES, YES, NO, YES, YES, NO, NO, NO

3060- YES, YES, YES, YES, YES, NO, YES, YES, NO

406839- NO, YES, NO, NO, NO, NO, NO, NO, NO

Step-by-step explanation:

hope this helped<3

Answer:

15

Step-by-step explanation:

Calculate the sum of 8+7 which is 15

Answer:

Principal (amount invested) = $14,350

Step-by-step explanation:

Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:

In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.

I = P × r × t

where:

I = interest earned = $2,870

P  = principal amount invested = ?

r  = interest rate = 5% or 0.05

t = time = 4

Divide both sides by (r × t ) to isolate P :

[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]

Substitute the given values into the formula for P:

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]

Therefore, the principal amount invested is $14,350.

Answer:

wdym

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

8 quizzes = 4 weeks

So 2 quizzes/week

It will take her 12/2 weeks (6) to finish 12 quizzes

-Chetan K

Answer:

x + 4 < 27

-4. -4

x > 24

Step-by-step explanation:

put lines under signs

Answer:

-4,-1,2,3

Step-by-step explanation: