Round 21.897 to the nearest hundredth.

The distance between K and M = 35 (from the question)

[tex]2x - 5 + 2x = 35[/tex] (Reason: All individual distances in a line i.e. [tex]KL[/tex] and [tex]LM[/tex] sum up to give the distance [tex]KM[/tex]).

Collecting like terms:

[tex]2x + 2x = 35 + 5[/tex], [tex]4x = 40[/tex] (Reason: All similar terms in an expression can be computed with one another i.e. added or subtracted).

Dividing by the variable's coefficient:

[tex]4x = 40[/tex], [tex]x = 10[/tex] (Reason: The coefficient is a similar factor to both terms in both sides, diving 40 by 4 gives you 10, hence the statement has been proven).

Step-by-step explanation:

Answer:

49% chance

step by step

total number of students is 41, 21 picked chemistry

41-21 =20

20÷41 =0.487

0.487 rounded up to 2 decimal places x 100  =49

=49%

Answer:

(2f-17h)/24k

Step-by-step explanation:

We can make the common denominator for 3k and 8k in the form of 24k, so we get (multiply the first fraction by 8 and the second one by 3 to get 24k on each denominator) (8f-32h)/3k-(6f-15h)/24k. Now we can just subtract the numerators :

8f-32h-6f+15h (sign gets flipped on 6f and 15h), so we get

(2f-17h)/24k

Answer:

Step-by-step explanation:

Let R and G stand for the prices of rose bushes and geraniums, respectively.

We are told that:

Abhasra:  30R + 11G = $219

Lisa:  6R + 44G = $420

Two equations and two unknowns.  Eliminate one of the variables by substitution:

Let's start with

6R + 44G = $420

and try to eliminate the G.  We note that the first equation,  30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:

6R + 44G = $420

4*(30R + 11G = $219) = 120R + 44G = 876

Now subtract this equation from the first:

   6R + 44G =  $420

-120R - 44G = -$876

 -114R           =  -456

  R = 4:   Rose bushes are $4 each.

Now use R= $4 in either equation to find G:

6R + 44G =  $420

6($4) + 44G =  $420

 $24 + 44G =  $420

44G = $396

    G = :  Geraniums are $9.00 each.

The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³

³ is the highest degree in the given expression.

_____

Hope it helps ⚜

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

Answer :

Step-by-step explanation:

P=2(4)+2(8)

P=8+16

P= 24

This file has it partly done

Answer:

the question is not clear

Step-by-step explanation:

wdym by this 2 ÷3 × 6 whole number 3 on 4, into bracket 2 whole number 4 on 15 - 1 whole number 2 on 3

Answer:

(-1,-4)

Step-by-step explanation:

First, you take the x coordinate of C and subtract it from the x coordinate of B. 5-2=3. You then take the 3 and subtract it from the x value of point B which is 2 and 2-3=-1 which gives us the x coordinate of point A -1. then you take the Y coordinate of C and subtract it from the Y coordinate of B. 6-1=5. You then take the 5 and subtract it from the y value of point B which is 1 and 1-5=-4 which gives us the y coordinate of point A -5. And that gives you (-1,-4)

Option D

for the (x-2) we move to the right 2 and for the +4 we go up 4

The transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

The functions are given as:

Translate the parent function 2 units right

This gives

f'(x) = log(x - 2)

Translate the function 4 units up

This gives

f''(x) = log(x - 2) + 4

So, we have:

g(x) = f"(x)

The above means that the transformation of g(x)=log2(x−2)+4 is (d) It is the graph of f(x) shifted 2 units right and 4 units up.

Read more about function transformation at:

https://brainly.com/question/4025726

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation [tex]y=-10x+17[/tex], ie is always decreasing (easy to spot applying the definition)

Meanwhile, [tex]y=e^{5x}[/tex] is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation [tex]y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2[/tex] which has no real solutions.

Answer:

11

Step-by-step explanation:

Answer:

Slope = -1

Step-by-step explanation:

7-9/-1+3=-2/2=-1 : Slope Formula

Answer:

i think d

Step-by-step explanation:

The number of comic books is an illustration of a linear function

She had 17 comic books already.

So, we have:

[tex]\mathbf{Base\ Amount = 17}[/tex]

Her order of 65 books contains 8 comic books per collection.

So, we have:

[tex]\mathbf{Rate = 8}[/tex]

[tex]\mathbf{Total = 65}[/tex]

This is represented as:

[tex]\mathbf{Rate \times b + Base\ Amount =Total}[/tex]

So, we have:

[tex]\mathbf{8\times b + 17 =65}[/tex]

Rewrite as:

[tex]\mathbf{8b + 17 =65}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b =48}[/tex]

Divide both sides by 8

[tex]\mathbf{b =6}[/tex]

Assume she has 97 books in her collection, then the equation would be represented as:

[tex]\mathbf{8b + 17 = 97}[/tex]

Subtract 17 from both sides

[tex]\mathbf{8b = 80}[/tex]

Divide both sides by 8

[tex]\mathbf{b = 10}[/tex]

The values of b are 6 and 10.

The difference between 6 and 10 is 4

Hence, the value of b has increased by 4

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

x = -6

Step-by-step explanation:

B = 2

F = 6

D = 4

H = 8

x + B = Fx - Dx + H

x + 2 = 6x - 4x + 8

x + 2 = 2x + 8

-x = 6

x = -6

Answer:

f=1+xb+dx−h

my answer to your question

What? hold up my brain hurts! you made me confused!!

Answer:

There are no leaves in the winter except on evergreens and those are green.

Step-by-step explanation:

Answer:

5=2x-9

14=2x

x=7

Hope This Helps!!!

If the copy made by Xerox's machine is same size as the original, the scale factor will be 1.

Recall:

Let's assume that one of the dimension of the original copy is 4 inches.

If the new copy is of exact same size as the original copy, therefore the new copy will still have a dimension of 4 inches.

Thus:

Scale factor = 4/4 = 1

Learn more about scale factor on:

https://brainly.com/question/25722260

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.

Answer:

29p

Step-by-step explanation:

pretty simple

Answer:

29p

Step-by-step explanation:

you

take

p

multiply

by

29

and

the

answer

is

29p

Answer:

Graph below

Step-by-step explanation:

start at (0,1)

up 1

right 4

500Step-by-step explanation:

Answer:

8:16 and 9:18

Step-by-step explanation:

When looking at 1:2 you can see that 1 + 1 = 2 from this we can easily tell that the answer will be like this. 8 + 8 = 16 and 9 + 9 = 18 but 4 + 4 = 8 and not 6.

Answer:

the combined time 55.316

diffrence of times 0.856

Step-by-step explanation:

its 6th grader math

Answer:

55,316 0.856

Step-by-step explanation:

Answer:

We write it as $1841.67 (Rounded)

Step-by-step explanation:

The 7 will round up to the hundredths (0.01) place.

Hoped this helped.