Evaluate 6/8×4/5 Give your answer in its simplest form.

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Explanation:

Solve the inequality for x.

5x + 4 < 29

5x < 29-4

5x < 25

x < 25/5

x < 5

I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.

Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.

That's why {3, 4} is the final answer.

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An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.

Let's try x = 3

5x + 4 < 29

5(3) + 4 < 29

15+4 < 29

19 < 29

We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.

If we tried x = 5, then,

5x + 4 < 29

5(5) + 4 < 29

25 + 4 < 29

29 < 29

which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.

Answer:

Midpoint : (4,3)

Step-by-step explanation:

midpoint = [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Where the x and y values are derived from the given points.

We are given points H and K which are at (2,2) and (6,4)

We have (x1,y1) = (2,2) so x1 = 2 and y2 = 2

As well as (x2,y2) = (6,4) so x2 = 6 and y2 = 4

To find the midpoint we simply plug in the values of x and y into the formula

Recall the formula [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

x1 = 2 , x2 = 6 , y1 = 2 and y2 = 4

plug in these values into the formula

[tex](\frac{2+6}{2} ,\frac{2+4}{2} )[/tex]

add top values: 2 + 6 = 8 and 2 + 4 = 6

[tex](\frac{8}{2} ,\frac{6}{2} )[/tex]

simplify fractions : 8/2 = 4 and 6/2 = 3

The midpoint is at [tex](4,3)[/tex]

Answer:

2p + 3e = 14

Step-by-step explanation:

The required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

Given, Alejandro bought $3.50 worth of pencils and erasers at the school store.

The cost of each pencil is $0. 50.

The cost of each eraser is  $0. 75.

Since He denotes no. of pencil by p and no. of eraser by e, so the required equation will be,

[tex]0.50\ p+0.75\ e= 3.50\\[/tex].

Hence the required equation is [tex]0.50\ p+0.75\ e= 3.50\\[/tex]

For more details on Equation solving follow the link:

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Answer:

Plan A: 1600 homes after 3 years Plan B: 1330 homes after 3 years

Step-by-step explanation:

Plan A.

200x3=600

1000+600=1600

1600 homes after 3 years

Plan B.

10% the first year =100 homes increased

10% the secound year = 110 homes increased

10% the third year = 121 homes increased

1330 homes after 3 years

It would be 1330 for plan B. And plan a 1600.

Answer:20 (p-3)

Step-by-step explanation:

Answer:

a = StartFraction 11 over 88 EndFraction; b = 12.5 percent

a

because I did my research

Answer:

B. a=11/88 ; b=12.5%

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values

[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

n=13

Step-by-step explanation:

39*5=15n

195=15n

13=n

Answer:

f

Step-by-step explanation:

Step-by-step explanation:

So another factor is option C.)

So another factor is option C.)(x-3)

Answer:

252 blue sweets

Step-by-step explanation:

red : blue

3 : 7 ( x4 )

12 : 28

blue : green

4 : 5 ( x7 )

28 : 35

red : blue : green

12 : 28 : 35

12 + 28 + 35 = 75

Blue Sweets:

675 x 28/75 = 252

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

[tex]2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\[/tex]

[tex]\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\[/tex]

[tex]x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\[/tex]

[tex]\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right][/tex]

Answer:

That is the answer

The answer is

Answer:

[tex]y = -\frac{1}{6}x - 3[/tex]

Step-by-step explanation:

Slope Intercept Form :   [tex]y = mx + b[/tex]

Using our slope, -1/6, input it for m, then plug the point (-6, -2) for x and y

[tex]y = mx+b\\\\-2 = (-1/6)(-6) + b\\\\-2 = 1 + b\\\\b = -3[/tex]

Equation : [tex]y = -\frac{1}{6}x - 3[/tex]

-Chetan K

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!

Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

Answer:

m + 8 ≥ -8

Step-by-step explanation:

Answer:

m+8≥-8

Step-by-step explanation:

Just ask.

Hope this helps!

Answer:

Step-by-step explanation:

Domain:  I don't see any restrictions on the domain, although at some point y will become exceedingly large.

Range:  -9 to infinity

Increasing Interval:  x>2

Decreasing Interval:  x <2

End behavior:

- as x ⇒∞, y⇒∞

Its the first equation, y < -1/3x +2

Answer: 5

Step-by-step explanation:

Answer:

You can either choose B or D.

The measure of side x equivalent to RS is 42

Similar shapes are shapes that have both their sides and angles to be equal.

Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;

4/24 = 7/x

1/6 = 7/x

Cross multiply

x = 42

Hence the measure of side x equivalent to RS is 42

Learn more on similar shapes here: https://brainly.com/question/12960403

Answer:

c

Step-by-step explanation:

hope this helps