lem.
2.)
5 + 2x = 13
Solve for x

Answer:

3

Step-by-step explanation:

z+5=4=>z= -1

3(-1)+6=3

You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.

The first equation becomes

a - b = 3

In the second equation, first simplify the exponents:

2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ

5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ

so the second equation changes to

a/8 + b/25 = 21

Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:

25a + 8b = 4200

Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :

8 (a - b) + (25a + 8b) = 8 (3) + 4200

(8a - 8b) + (25a + 8b) = 24 + 4200

33a = 4224

a = 128

Plug this into the first equation to solve for b :

128 - b = 3

b = 125

Now solve for x and y. Notice that

128 = 2⁷

and

125 = 5³

so it follows that x = 7 and y = 3.

Alternatively, you can use logarithms. For example,

a = 2ˣ   →   log₂(a) = log₂(2ˣ )   →   x = log₂(128) = 7

Answer:

$12.65

Step-by-step explanation:

i caculated that

Answer:

D. 13.02

Step-by-step explanation:

Apply trigonometric function to find the height (h) of the wall.

Reference angle = 40°

Hypotenuse = 17 ft

Adjacent = h (height of the wall)

Apply CAH:

Cos 40 = Adj/Hyp

Cos 40 = h/17

17*Cos 40 = h

13.0227555 = h

h ≈ 13.02 ft

Answer:

30.9 assuming the shaded area are the corner areas of the square not occupied by the circle

Step-by-step explanation:

solve for the area of the square by using the diameter of the circle area of the square=144 then solve for the area of the circle using the radius circle=113.1 the subtract from each other which would equal 30.9

Answer:

[tex]\theta =135[/tex]

Step-by-step explanation:

Required

Interior of a regular octagon

This is calculated using:

[tex]\theta =\frac{180(n-2)}{n}[/tex]

Where

[tex]n = 8[/tex]

So:

[tex]\theta =\frac{180(8-2)}{8}[/tex]

[tex]\theta =\frac{180*6}{8}[/tex]

[tex]\theta =135[/tex]

The person below me is true

Answer:

255

Step-by-step explanation:

180+75=255

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.

Answer:

4 in²

Step-by-step explanation:

A= l * w

A= 2 * 2

A= 4

Answer:

76,000,000

Step-by-step explanation:

Look at the 100,000 place and see whether to round up or down - 8 is larger than 5, therefore 75,000,000 gets rounded up to 76,000,000

Answer:

(3a + 11) (3a - 11)

Step-by-step explanation:

:))

Answer:

Perpendicular bisector

Step-by-step explanation:

Construction done:

1). An arc is drawn from point O which intersects line 'l' at two points C and D.

2). From the points C and D two equal arcs on both the sides of the line 'l' have been drawn intersecting each other at points P and Q.

3). Points P and Q have been joined with the help of a straightedge.

Hence constructed line PQ is the PERPENDICULAR BISECTOR of the line segment CD.

Answer:

17.....

....................

Answer:

13x=4   :-)  !!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1-) -2 + 7x + 2 = 2 + 6x + 2

2-) 7x = 6x + 4

3-) 7x - 6x = 6x + 4- 6x

4-) X= 4

Answer:

Step-by-step explanation:

b = 75°

a = 180° - 2(75°) = 30°

Angle XYZ = 180°-b = 105°

c = b - 35° = 40°

Answer:

4.64

Step-by-step explanation:

If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!

Answer:

$4.64

Step-by-step explanation:

3 x 1.45 = 4.35

1.45 x .2 = .29

4.35 +.29 = 4.64

Step-by-step explanation:

n/2 + 3 < 20

50 >= 16- 2n

n / 2.83 > 100

Answer:

Let percentage be x%

According to the question

200+x%of 200=£210.99

X%of 200=£210.99-200

X/100×200=10.99

X=10.99/2=5.495% is required percentage.

Step-by-step explanation:

Answer:

23 or 19

Step-by-step explanation:

15+8= 23

23-4= 19

i added 15 and 8 because if you were to flatten the triangle it would be next to the base, so i added it. I subtracted 4 because side C doesn't look like it is is about 23 ft. it could be 20 too.

i am not exactly sure. sorry if you get it wrong. I am so sorry if i got it wrong.

Answer:

x=12

y=[tex]12\sqrt{3}[/tex]

Step-by-step explanation:

Hey There!

to solve this problem we need to use the 30 - 60 - 90 triangle rule

So you are correct on x because the hypotenuse is 2x

24/2=12

y would equal [tex]12\sqrt{3}[/tex]

as you could see in the image down below

Answer:

It depends on the amount of tax. That also depends on the state of the sale.

Step-by-step explanation:

Answer:

x = 32

Angle 1 = 96

Angle 2 = 84

Step-by-step explanation:

3x + x + 52 = 180

4x + 52 = 180

     -52     -52

4x = 128

divide by 2

x = 32

___________________

1 = 3x

3(32)

1 = 96

___________________

2 = x + 52

2 = 32 + 52

2 = 84

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

B should be worth more points.

Step-by-step explanation:

Given -  Consider a randomly shuffled deck of ten cards labeled

              {1, 1, 2, 2, 3, 3, 4, 4, 5, 5}, of which game play requires three

               to be drawn.

To find - Which one should be worth more points:

              A getting a pair of matching cards within the three,

              or B getting a set of three cards that can be arranged such

              that the sum of two of them is the value of the third.

Proof -

Given that, three cards has to be drawn.

So, total number of ways the card be drawn = ¹⁰C₃

                                                                      = [tex]\frac{10!}{3! (10-3)!}[/tex]

                                                                      = [tex]\frac{10!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8.7!}{3! 7!}[/tex]

                                                                      = [tex]\frac{10.9.8}{3.2.1}[/tex]

                                                                      = 120

⇒¹⁰C₃ = 120

Now,

Given that, A getting a pair of matching cards within the three

Sample space = { (1,1,2), (1,1,3).(1,1,4),(1,1,5);

                            (2,2,1),(2,2,3),(2,2,4),(2,2,5);

                             (3,3,1),(3,3,2),(3,3,4),(3,3,5);

                              (4,4,1),(4,4,2),(4,4,3),(4,4,5);

                              (5,5,1),(5,5,2),(5,5,3),(5,5,4) }

⇒n(A) = 20

Also,

B getting a set of three cards that can be arranged such that the sum of two of them is the value of the third

Sample space = { (1,1,2),(1,2,3),(1,3,4),(1,4,5),(2,2,4),(2,3,5) }

⇒n(B) = 6

Now,

P(A) = [tex]\frac{20}{120} = \frac{1}{6}[/tex] = 0.167

P(B) = [tex]\frac{6}{120} = \frac{1}{20}[/tex] = 0.05

We can see that, P(B) < P(A)

⇒B should be worth more points.

Answer:

12x

Step-by-step explanation:

[tex]12x(8x - 20) \div 4(2x - 5) \\ \\ = 12x \times 4(2x - 5) \div 4(2x - 5) \\ \\ = \frac{12x \times \cancel{ 4(2x - 5)}}{\cancel{ 4(2x - 5)}} \\ \\ = 12x[/tex]

Answer:

755757

Step-by-step explanation:

Answer:

The conversion rate is 1-liter equals 1000 milliliter.

Step-by-step explanation:

(24*500 + 15*1000) Total milliliters

(24*500 + 15*1000)/1000 Conversion Rate

Answer is 27 liters.

Answer:

60

Step-by-step explanation:

1/6 * 60 = 60/6

60/6 = 10/1 = 10

The number of 1/6 pound servings in 10 pounds of chicken is; 60

We are required to determine how many 1/6 pound servings are in 10 pounds of chicken.

Hence ; we have;

= 60.

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