from the definition of absolute value, |3x|= when x>=0

Answer:

n ≤ 18

Step-by-step explanation:

The students can be 18 but they can't be greater than 18 so the inequality must be n ≤ 18.

Solution (Part-A)

Note that:

Let's reread the clue carefully.

{A class} must have {fewer} than {18 students}

     ↥                              ↥                        ↥

     n                             <                        18

The inequality formed: n < 18

This means that the solution of the inequality can be anything except 18 or above 18.

Solution (Part-B)

Note that:

Let's reread the clue carefully.

{The class} must have {at least} {15 students}

      n                                  ≥                15

The inequality formed: n ≥ 15

This means that the solution of the inequality can be 15 or less than 15.

Solution (Part-C)

The value of n that can be a solution of both inequalities can be 15, 16, and 17.

Hoped this helped!

Answer:

5 is the highest common factor of 40 and 25

gg

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

136/-17 when simplified because -10-7=-17 then plug into a calculator and you get -8

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

9, 12, 12, 15, 16, 19, 19, 21, 24, 24

16 + 19 = 35 divided by 2 = 17.5

Answer:

$18,112.45 (nearest cent)

Step-by-step explanation:

Let y = value of the boat

Let x = the number of years

If the boat depreciates in value by 15% each year, then each year that goes by, it is worth 85% of the previous year's value (since 100 - 15 = 85)

85% = 85/100 = 0.85

Therefore, the equation is:  [tex]y = 92000 \times 0.85^x[/tex]

So, when x = 10:

[tex]\implies y = 92000 \times 0.85^{10}=18112.45[/tex]

Answer:

1:4

Step-by-step explanation:

15 - 3 = 12

3:12 = 1:4

Answer:

1:5

Step-by-step explanation:

hope this helps

Answer:

I think its a non linear graph

Answer:

A - $14.06

Step-by-step explanation:

1) Divide :

7 / 100 = 0.07

2) Multiply :

0.07 * 13.14 = $0.9198

3) Add :

0.9198 + 13.14 = $14.0598

4) Round to the nearest decimal :

So if you round you would get $14.06

Answer:

Option A

Step-by-step explanation:

Given the following question:

7% of $13.14

To find the answer we simply use the formula to calculate percentage.

[tex]\frac{t\times i}{100}[/tex]
[tex]\frac{7\times13.14}{100} =91.98\div100=0.9198[/tex]
[tex]0.9198[/tex]
Round to the nearest cent:
[tex]0.9198[/tex]
[tex]9>5[/tex]
[tex]0.92[/tex]
Add the initial cost and the sales tax:
[tex]13.14+0.92=14.06[/tex]
[tex]14.06[/tex]

The items after a 7% sales tax costs "$14.06 dollars" or option A.

Hope this helps.

Answer:

Part 2. Evaluate: C(-1).

Step-by-step explanation:

How do i solve for number 3.

From the computation regarding the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8, and thereafter it was increased by R2 for each kilometer.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Also, expressing T2 in terms of S, and S2 will be T2 = S + S2.

Learn more about arithmetic series on:

brainly.com/question/24295771

Hey there! Your answer is:

17692.4142

Hope this helps! :D

Answer:

8 cookies left to be baked

Step-by-step explanation:

Len

Len bakes 1/3 of 30 cookies

To find 1/3 of 30, divide 30 by 3 then multiply by 1:

[tex]\implies \frac{30}{3} \times1=10 \times 1=10[/tex]

Therefore, Len bakes 10 cookies

Sallesh

Sallesh bakes 2/5 of 30 cookies

To find 2/5 of 30, divide 30 by 5 then multiply by 2:

[tex]\implies \frac{30}{5} \times2=6 \times 2=12[/tex]

Therefore, Sallesh  bakes 12 cookies

Cookies left to bake

To calculate how many cookies are left to bake, subtract the found number of cookies Len and Sallesh have baked from 30:

30 - 10 - 12 = 8

So there are 8 cookies left to be baked.

Total cookies both baked

[tex]\\ \tt\longmapsto \dfrac{1}{3}+\dfrac{2}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{5+6}{15}=\dfrac{11}{15}[/tex]

Cookies left:-

[tex]\\ \tt\longmapsto 30-11/15(30)=30-22=8[/tex]

Answer:

y = 2

Step-by-step explanation:

Given equations:

x+y=7

x = 5 .........given that x is 5

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

5 + y = 7  ...............replace x as 5 here.

y = 7 - 5

y = 2

Answer:

69/61+-34/61i

Step-by-step explanation:

i think this is correct, hope this helped!

Answer:

13.86

Step-by-step explanation:

Note m∠ADB = m∠ABC, and m∠A = m∠A, so

ΔABD ~ ΔABC

AD : x = x : AC

AD : x = x : (AD + DC)

12 : x = x : 16

x^2 = 12 * 16 = 192

[tex]x=\sqrt{192} = 13.86[/tex]

[tex]\huge\boxed{\boxed{Hello\:there!}}[/tex]

We are given the slope of the line and its y-intercept, so we can easily determine its equation.

Since we have the slope and the y-intercept, we can write the equation in slope-intercept form.

Slope-Intercept form looks like so:

y=mx+b

Where m is the slope and b is the y-intercept.

Slope: -1

Y-intercept: -5

Equation: y=-1x-5

y=-x-5 (Answer)

Hope it helps! Enjoy your day!

Please feel free to ask if you have any doubts.

-Sparkles-

Answer:

Assuming this is for a Conic Section. There is no property as it does not match a conic section.

Answer:

-The graph crosses the y-axis at the point (0,0)

None of the given options is correct

A graph crosses the y-axis at the point (0,y).This means that the graph will cross the y-axis when x-=0

To find the point where the graph crosses the y-axis,substitute x=0 into the given equation y-9x

substitute x=0 into the equation y-9x to find the corresponding value of y

That is,

y=9(0)

y=0

therefore the graph crosses the y-axis at the point (0,0)

Step-by-step explanation:

hope it hlps

Answer:

[tex]y=Ce^{2x}+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]y'+2y=3\\\\\frac{dy}{dx}+2y=3\\ \\\frac{dy}{dx}=3-2y\\ \\dy=(3-2y)dx\\\\\frac{1}{3-2y}dy=dx\\ \\\int\limits {\frac{1}{3-2y}dy=\int dx}\\\\\frac{1}{2}ln(|3-2y|)=x+C\\\\ln(|3-2y|)=2x+C\\\\3-2y=e^{2x+C}\\\\3-2y=Ce^{2x}\\\\-2y=Ce^{2x}-3\\\\y=-\frac{Ce^{2x}}{2}+\frac{3}{2}\\ \\y=Ce^{2x}+\frac{3}{2}[/tex]

Answer:

ok so from looking at this if he earns 14 dollars he saves 5 so he saves

5/14 so lets just multiply this by the 56

56*5/14=20

so he saves 20

20

Hope This Helps!!!

Step-by-step explanation:

cars= 8, 24

trucks= 20

total ($)=

pounds=5

calories=

Answers and Step-by-step explanations:

(Answers are all bold-ed and underlined.)

For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.

Table 1:

For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.

Cars:

4

8

12

16

20

And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.

Trucks:

5

10

15

20

25

We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).

Table 2:

This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:

1.50 ÷ 2 = 0.75

So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.

Total ($):

0.75

1.50

2.25

3.00

6.00

For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.

Pounds:

1

2

3

4

8

Table 3:

This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.

Second column: 35 x 2 = 70, and so onto the rest of the columns.

Calories:

35

70

140

280

350

____________________________________

I hope that this helps.

Answer:

  a) x = -2

  b) 8 integer values

Step-by-step explanation:

Matthew's solution is correct as far as it goes. However, he failed to take into account the possibility of negative square roots.

His solution might rightly look like ...

  3 < 3x² ≤ 75

  1 < x² ≤ 25 . . . . . divide by 3

  1 < ±x ≤ 5 . . . . . . take the square root

Separating the results:

  1 < x ≤ 5

  -1 > x ≥ -5 . . . . . . multiply by -1

The value x=-2 shows Matthew's solution is incorrect:

  3 < 3(-2)² ≤ 25   ⇒   3 < 12 ≤ 25 . . . true

__

x can have the integer values {-5, -4, -3, -2, 2, 3, 4, 5}, a total of 8 values.

__

In the attached, the white space (and dashed line) are the solution set. The shaded areas (and solid line) are excluded from the solution set.

_____

Additional comment

It can be helpful to remember that ...

  [tex]\sqrt{x^2}=|\,x|\ne x[/tex]

That is, values of x may be negative, but the positive square root will only show you a positive value.

Answer:

13

Step-by-step explanation:

The biggest number minus the smallest number.

Answer:

13

Step-by-step explanation:

the highest value is 45

the lowest value is 32

subtract them from each other and you get 13

step by step explanation:

Jake brought a car = 1500rs

Jake sell the car = 1800

profit = sp-cp

so profit = 1800-1500 = 300

profit percent = gain/cp×100

profit percent = 300/1500×100

profit percent = 20% (double zero are cancel and 300 divided by 15)