Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1.

please help

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

Answer:

x=4 and y=0

Step-by-step explanation:

Sub x-4 in for y:

2x+4(x-4)=8

2x+4x-16=8

6x=24

x=4

y=x-4

y=4-4

y=0

Y = 4

X = 0

Answer is 8

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

300 gallons per hour.

Step-by-step explanation:

It takes 4 of 1/4 hours to make 1 hour. Now multiply gallons per quarter hour by four.

75 x 4 = 300

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

9514 1404 393

Answer:

  18

Step-by-step explanation:

  50% × 36 = 0.50 × 36 = 18

There are 18 bikini styles at David's Swimwear.

Answer:

18 bikini styles.

Step-by-step explanation:

Divide 36 by 2.

Answer:

x = 5

Step-by-step explanation:

Since the problem shows us that all the angles of the triangle are equal, we can confirm this is an equilateral triangle. Equilateral triangles have the same angles and the same side lengths. Knowing this, we can set up an equation to solve for x.

6x - 5 = 5x (Given)

-5 = -x (Subtract 6x on both sides)

5 = x (Divide -1 on both sides)

Therefore, x = 5.

Answer:

x = 5

Step-by-step explanation:

Since all the three angles of the triangle GJH are marked by identical signs, thus they are congruent.

Therefore, triangle GJH is an equilateral triangle.

Measures of all sides of an equilateral triangle are equal.

So,

6x - 5 = 5x

6x - 5x = 5

x = 5

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Answer:

B

Step-by-step explanation:

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

Answer: -2x(5y+6)

Step-by-step explanation:

Answer:

The first brother is 16, the second brother is 8 and the third brother is 4.

Step-by-step explanation:

Since the sum of all the brothers  is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

Answer: Rr.3,000

Step-by-step explanation:

The interest is the amount that accrues on a principal that was invested or a cost that was incurred.

It is based on a certain interest rate which in this case is 15%.

The principal is Rr. 20,000.

Interest = Principal * Interest rate

= 20,000 * 15%

= Rr.3,000

Answer:

$3701.45. I hope this helps :)

Step-by-step explanation:

Answer:

I think its the 2nd one im not sure tho

Step-by-step explanation:

Answer:

first one is 14.

second one is 131-11=6B

Step-by-step explanation:

1) 252/18=14

2) you want to know how much 6 books sre and it says you got 11 dollars change so u take 11 from 131 to get the price of 6 books

hope that helps :)

Answer:

<1 = 97

<2 = 83

<7=87

<8 = 83

<11 = 112

<12 = 68

<13 = 112

<14 = 68

Step-by-step explanation:

Those are the only ones Ik sry

Answer:

y=2x+0

Slope:  

2

y-intercept:  

( 0, 0 )

Step-by-step explanation:

Slope intercept form: y=mx+b

Use the slope formula and the slope-intercept form to find the slope  m  and y-intercept  b .

Answer:

Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.

The answer is 36 degrees.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did

Answer:

Both are circle equations. One is for area, one is for circumference.

Step-by-step explanation:

Both are circle equations. One is for area, one is for circumference.

9514 1404 393

Answer:

  £30

Step-by-step explanation:

The total area of the four walls is ...

  A = 4 × LW

  A = 4 × (2.4 m)(3.7 m) = 35.52 m²

Subtracting the area of the door, we find the painted area to be ...

  35.52 m² -(2 m)(0.7 m) = 34.12 m²

Painting this area will require ...

  (34.12 m²)/(8 m²/L × 1.5 L/tin) = 2.8433... tins

Aisha will need to buy 3 tins of paint, for which she pays 2.5 times the price of 1 tin:

  2.5 × £12 = £30 . . . . Aisha's cost to paint her living room

£25 or £20.10

Step-by-step explanation:

calculate the area to be painted:

2.1x4.5= 9.45m^2 for each wall

x4= 37.8m^2

area of door= 1.8x0.9= 1.62m^2

subtract the area of the door from the wall area

37.8-1.62= 36.18m^2 to be painted

divide the area by the area that 1L of paint can cover

16.18/12= 3.015 L needed

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L- so another can (3 cans total) add price up.

£30- but buy 2 get 3rd 1/2 price, so take £5 off. price is £25

or

calculate price for 0.015L

1.5=£10

divide both sides by 100

0.015= £ 0.10

if 1.5L= £10 then, 3L= £20. she needs 2 cans + an extra 0.015 L

£20+£0.10= £20.10

I DONT KNOW IF THIS IS RIGHT but hope it helps :)

Answer:

(1-1)+(5×2)

hope this helps you

By applying the definition of logarithm, you have

\log_x(64) = 3 \iff x^3 = 64logx(64)=3⟺x3=64

So, if you consider the cubic root of both sides, you have

x = \sqrt[3]{64} = 4x=364=4

Answer:

x

=

4

,

−

2

+

2

i

√

3

,

−

2

−

2

i

√

3

Step-by-step explanation:

Answer: x ≤ 5

Step-by-step explanation:

Answer:

x = 10; y = 10

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]

[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]

[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]

[tex]10 = y[/tex]

[tex]y = 10[/tex]

Answer:

55

Step-by-step explanation:

Answer: D.)

Step-by-step explanation:

40*5=200, This is Brians total $'s

1,300-200=1,100, This is Rebeccas total $'s

1,100/20= 55, This is the total hours worked.