1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840

Answer:

Expression: 2.89+(1.28x3) Answer: 6.73

Step-by-step explanation:

Number 1

Answer: 1:6

Step-by-step explanation:

Reduce each side of the ratio

Answer:

For every 1 squirrel there are 6 acorns

Step-by-step explanation:

u just divide 18 by 3

x=21

Step-by-step explanation:

• 8x - 7 = 9x - 28

(group like terms)

• 8x - 9x = -28 + 7

• -1x = - 21

(negative cancels out)

• x = 21

Explanation:

We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.

We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.

You could use the nPr formula

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.

The 8 violinists can be seated in 40,320 ways.

A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.

Given In the orchestra, there are eight violinists in the front row,

the sitting arrangement of violinists is done with the help of permutation,

ⁿPₓ = n!/(n - x)!

here n = 8 and x = 8

(n - x)! = (8 - 8)!

(n - x)! = = 0! = 1

⁸P₈ = 8!/1

⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1

⁸P₈ = 40,320

Hence they can be seated in 40,320 ways.

Learn more about permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:dusy

Step-by-step explanation:

Answer:

h = SA/(2πr) - r

Step-by-step explanation:

From what I understood of the the statement, we have to solve the equation for the variable h. So, we just have to isolate that variable in one side. See:

[tex]SA = 2\pi r^2 + 2\pi rh\\\\2\pi rh = SA - 2\pi r^2\\\\h = \dfrac{ SA - 2\pi r^2}{2\pi r}\\\\\boxed{h = \dfrac{SA}{2\pi r} - r}[/tex]

Answer: 3.75

Step-by-step explanation:

8 apples = $6

4 apples = $3

2 apples = $1.5

1 apple = 0.75

3 +.75= 3.75

Answer:

3.75

Step-by-step explanation:

8/6 is 75 cents 8-3 is 5 75 cents x 5 3.75

The rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

The given equation is:

[tex]12(cos\pi+ isin\pi)[/tex]

The above equation is in polar form

Note that:

[tex]cos \pi = -1\\\\sin\pi = 0[/tex]

Substituting [tex]cos \pi = -1[/tex] and [tex]sin \pi = 0[/tex] into the expression [tex]12(cos\pi+ isin\pi)[/tex] in order to get the rectangular form of the expression

[tex]12(cos\pi+ isin\pi)[/tex]

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

Learn  more here: https://brainly.com/question/11731858

Answer: C) Closed circle at -5; shading to the left

The given inequality [tex]3x \le -15[/tex] solves to [tex]x \le -5[/tex] when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say [tex]x < -5[/tex] and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:

Answer: 4/5 or 0.8

Step-by-step explanation: To find how much it grows over time, we have to find the slope. to do that, we need to have two points with exact points on the graph, so (0,0) and (4,5). the equation for slope is rise/run. it rises 4, and runs 5. so 4/5.

====================================================

Explanation:

Check out the diagram below.

On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.

Angle STR = Angle VTU because they are vertical angles

Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.

We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.

AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Answer:

la respuesta es 80 pesos espero que te ayude

Answer: 21, 21

Step-by-step explanation: 21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:21,21

Step-by-step explanation:

21 × 3 = 63, so 21 + 21 + 21 is 63.

Answer:

3.568 < 3.577

Step-by-step explanation:

3.568 < 3.577

So 3.577 is greater than 3.568

Answer:

The density is 8.5 g/cm³

Step-by-step explanation:

The density formula is density = mass/volume

When we plug our numbers into the formula, we get:

Density = 2210 / 260

We can then solve and get our answer 8.5 g/cm³

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³.

Suppose that a finite amount of substance is there having its properties as:

The mass of substance = m kg

The density of substance = d kg/m³

The volume of that substance = v m³

Then, they are related as:

[tex]d = \dfrac{m}{v}[/tex]

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 .

density = mass/volume

When we substitute our numbers into the formula, we get:

Density = 2210 / 260

Density = 8.5 g/cm³

It is given a piece of metal has a mass of 2210g the volume of the metal is 260cm ^3 . The density is 8.5 g/cm³

Learn more about mass, volume and density relation here:

https://brainly.com/question/952755

#SPJ5

Answer:

Mean: 1.5

Standard Deviation: 0.9

Step-by-step explanation:

2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.

Explanation:

The slope of the line is found by the method: rise/run

You calculate how much the slope rises(goes up) and divide it by run(goes horizontal).

One more thing to note is that: the slope is negative BECAUSE ITS DECREASING.

Your answer:   -3/2

Answer:

( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]

[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]

[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]

LCD (2, 15, 21) = 210

[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]

105 - 98 = 7

110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]

Answer:

No it is too high

Step-by-step explanation:

plz mark brainliest

Answer:

the  answer  A .4 (RootIndex 4 StartRoot 4 EndRoot)

Step-by-step explanation:

The product of the radical is [tex]50176\sqrt{7}[/tex]

Data:

To multiply the given radical, we can start by solving

[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]

We should know that multiplying two identical radicals will give just one of the entity.

[tex]\sqrt{x} * \sqrt{x} = x\\x\sqrt{y} * x\sqrt{y}= (x*x)\sqrt{y}=x^2\sqrt{y}[/tex]

Using this system, we can solve the giving problem.

Let's multiply this through and get the final answer.

[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7} = 50176\sqrt{7}[/tex]

The product of the radical is [tex]50176\sqrt{7}[/tex]

Learn more on product of a radical here;

https://brainly.com/question/7558270

Answer:

the answer to your question is 38.

There are 38 marbles does Kyle have.

What is an expression?

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

Given that;

Brian has 17 fewer marbles than Kyle.

And,  Brian has 21 marbles.

Now,

Let number of marbles Kyle have = x

Then, Number of marbles Brian have = x - 17

But, Brian has 21 marbles.

So, We get;

x - 17 = 21

x = 21 + 17

x = 38

Thus, There are 38 marbles does Kyle have.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

-2

Step-by-step explanation:

Let the no. be x

So, By question,

2(x+5)=6

x+5=3

x=-2

Answer:

2(n+5)=6

Step-by-step explanation:

twice=2*

the sum of a number and five= (n+5)

equals six-=6

------------------------------------------

DISTRIBUTE= 2n+10=6 (Distributive Property)

subtract 10 on both sides= 2n=-4   (subtraction Property of Equality)

divide by two on both sides= n=-2 (Division Property)

Answer:

4 3/8

Step-by-step explanation:

1 1/4 * 3 1/2

9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{4}[/tex]

Step-by-step explanation:

So when it says he biked 3[tex]\frac{1}{2}[/tex] ur suppose to add it 3 times then u add the both ones on the top and u get 2 then the answer u get is either 9[tex]\frac{2}{4}[/tex] or 9[tex]\frac{2}{2}[/tex]

Answer:

180

Step-by-step explanation:

Answer: ejejejwjfmfmdnc

Step-by-step explanation:

Answer:

it would be 2

Step-by-step explanation:

Answer:

smaller than the sum of the other two sides

In this case less than 21

Step-by-step explanation:

Triangle Inequality Theorem