expand and simplify 2 (x+7) +3 (x+1)

Answer:

5 divided by 1/2 try that

Step-by-step explanation:

yeah tr this

Answer:

The answer is 10

Step-by-step explanation:

5/(1/2) or 5 times the reciprocal of (1/2) known as 2 would be 10

Answer:MY BUTT

Step-by-step explanation: WHY ARE U WAITING FOR OTHERS TO ANSWER YOUR QUSTION

Answer:

36 teachers total

Step-by-step explanation:

Answer:

51ft, 17ft, 39ft

Step-by-step explanation:

longest = x

2nd = [tex]\frac{1}{3}[/tex]x

3rd = x - 12

P = 107

a + b + c = Perimeter

x + [tex]\frac{1}{3}[/tex]x + x - 12 = 107

[tex]\frac{7}{3}[/tex]x -12 = 107

[tex]\frac{7}{3}[/tex]x = 119

x = 51

[tex]\frac{1}{3}[/tex]x = 17

x - 12 = 39

Answer: one solution; that solution is x = -7/2 which is the same as x = -3.5

====================================================

Work Shown:

The idea is to get all the x terms to one side, and the other stuff to the other side. We follow PEMDAS in reverse to help isolate x

12x+24 = 6x+3

12x+24-24 = 6x+3-24 .... subtract 24 from both sides

12x = 6x-21

12x-6x = 6x-21-6x ...... subtract 6x from both sides

6x = -21 ...... now the x terms are all on one side

6x/6 = -21/6 ...... dividing both sides by 6

x = -21/6

x = (-7*3)/(2*3)

x = -7/2

x = -3.5

This is the only solution. Whenever we have different coefficients for the x terms like this, we can see right off the bat we have exactly one solution. Consider graphing y = 12x+24 and y = 6x+3. The two lines will intersect at the point (x,y) where the x coordinate is the solution to the original equation. There is only one point of intersection which corresponds to exactly one solution.

The thing to notice about y = 12x+24 and y = 6x+3 is that the slopes are not the same, so the lines aren't parallel. Parallel lines always have equal slopes but different y intercepts. If your teacher gave you 12x+24 = 12x+3, then the two lines to graph would be y = 12x+24 and y = 12x+3. At this point, we would get two parallel lines that don't intersect, and therefore we wouldn't get any solutions here.

Answer:

-3p+21≥21

Step-by-step explanation:

Answer:

Step-by-step explanation:

G and H are parallel lines and J is the transversal.

∠FDN is corresponding angle with ∠HKJ.

The corresponding angles postulate states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.

Step-by-step explanation:

perimeter of triangle = sum of all sides

Answer:

FCB, I think.

Step-by-step explanation:

2 angles are supplementary when they add up to 180°

Answer:

a = 8 m

Step-by-step explanation:

Since, given is an isosceles right triangle.

So, by Pythagoras theorem:

[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]

Answer:

4 teachers for 28 students

Step-by-step explanation:

28/7 = 4

Answer:

y-intercept is ( 0 , 5 )

Step-by-step explanation:

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Answer:

12x+15y

Step-by-step explanation:

Answer:

[tex]y = 25x[/tex]

Step-by-step explanation:

Given

[tex]Rate = 25[/tex]

Required

Cost of x pounds

To do this we simply multiply x by the rate

[tex]y =Rate * x[/tex]

[tex]y = 25 * x[/tex]

[tex]y = 25x[/tex]

Given:

Consider the given expression is

[tex]\log_59+\log_521-\log_57[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_59+\log_521-\log_57[/tex]

It can be written as

[tex]=\log_5(9\times 21)-\log_57[/tex]       [tex][\because \log_ax+\log_ay=log_a(xy)][/tex]

[tex]=\log_5\dfrac{9\times 21}{7}[/tex]       [tex][\because \log_ax-\log_ay=log_a\dfrac{x}{y}][/tex]

[tex]=\log_5(9\times 3)[/tex]

[tex]=\log_527[/tex]

Therefore, the simplified form of the given expression is [tex]\log_527[/tex].

Answer: x = 7

Step-by-step explanation:

The two angles depicted in the image are vertical angles since they are a pair of opposite angles made by two intersecting lines. Vertical angles are always congruent meaning that the two angles in the picture are equal. Therefore:

9x + 16 = 12x - 5

-3x + 16 = -5

-3x = -21

x = 7

Answer:

You would have a 95.98 chance of NOT winning.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/24.87

100/2487 probability of winning (about 4% chance), the probability of losing is then

(2487-100)/2487

2387/2487 (about 96% chance) of losing.

Answer:

d = √29

Step-by-step explanation:

Use the distance formula d = √(x2 - x1)² + (y2 - y1)²

d = √(x2 - x1)² + (y2 - y1)²

d = √(-8 - -6)² + (3 - 8)²

d = √(-2)² + (5)²

d = √4 + 25

d = √29

Answer:

mathematics

Step-by-step explanation:

Example....

"She teaches math and science" .

Answer:

The answer is "[tex]8.5\times 10^{-9}[/tex]".

Step-by-step explanation:

Following are the calculation of the multinomial distribution probability:

[tex]\to (\frac{10!}{(2! \times 5! \times 3!)})\times(0.2)^2 \times(0.5)^5 \times (0.3)^3 \\\\ \to (\frac{10!}{(2! \times 5! \times 3!)})\times 0.04 \times 0.03125 \times 0.027\\\\ \to (\frac{10\times9\times8 \times7 \times6 \times5! }{(2! \times 5! \times 3!)})\times 3.37 \times 10^{-5}\\\\ \to (\frac{10\times9\times8 \times7 \times6 }{(2 \times 1 \times 3 \times 2 \times 1 )})\times 3.37 \times 10^{-5}\\\\[/tex]

[tex]\to (\frac{10\times9\times8 \times7 }{(2)})\times 3.37 \times 10^{-5}\\\\ \to (5 \times 9 \times 8 \times 7 )\times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 45 \times 56 \times 3.37 \times 10^{-5}\\\\ \to 2520 \times 3.37 \times 10^{-5}\\\\\to 8492.4 \times 10^{-5}\\\\\to 8.4924\times 10^{-9}\\\\ \to 8.5\times 10^{-9}[/tex]

Answer:

2/5

Step-by-step explanation:

1/5 · 2/1 = 2/5

Good luck, I hope this helps :)

Answer:

1/8 gallon per half quart

Step-by-step explanation:

One quart is 1/4 gallon, so half quart is 1/8 gallon

Answer:

this seems like a weird question but 0.125