4e^2x=5

X approximately = ?

Answer:

-2

Step-by-step explanation:

using the slope formula with these two points gives me a slope of -2. Hope that helps!

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b = $282

17p + 20b = $160.50

this is an example of simultaneous equations

so you have to double the second equation to give 34p + 40b = $321

subtract the equations to give one -- >  6p = $39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

Answer:

9 cd's

Step-by-step explanation:

The expression (x+6)² is simplified as x²+12x+36.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

A) (3x-2)(x+5)

= 3x²-2x+15x-10

= 3x²+13x-10

B) (3x-8)(3x+8)

= (3x)²-8²

= 9x²-64

C) 5x(x-1)(x+7)

= (5x²-5x)(x+7)

= 5x²(x+7)-5x(x+7)

= 5x³+35x²-5x²-35x

= 5x³+30x²-35x

D) (x+6)²

= x²+12x+36

E) (x-2)(x-8)

= x(x-8)-2(x-8)

= x²-8x-2x+16

= x²-10x+16

So, A→2, B→5, C→1, D→3, E→4

Therefore, the expression (x+6)² is simplified as x²+12x+36.

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Answer:

x= 12

Step-by-step explanation:

First, we can note that the angles in a pentagon add up to 540°

We can, using the image below, conclude that angles a+b+c+d+f=540

Furthermore, a is on a straight line with 7x+4, and so on, so

180-(7x+4)= a

176-7x=a

180-(4x+1) = b

179-4x = b

180-(9x-6) = c

186 - 9x = c

180 - (4x+9) = d

171 - 4x = d

180 - (5x+4) = f

176 - 5x = f

a+b+c+d+f = 540

176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540

888 - 29x = 540

348 = 29x

x = 12

Answer: 172.8

Step-by-step explanation:

uhhhh the answer is -9 I think

Answer:

5

Step-by-step explanation:

1/6 X 6 = 1 X 5 = 5

6 X 5 = 30

The Correct Answer is 5

Answer:

i got 2730 hope its right

Step-by-step explanation:

Answer:

It's D. 5

Step-by-step explanation:

A^2 + B^2 = C^2

The third length of the right triangle is 5 units. Then the correct option is D.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

We have

P = a

B = 12

H = 13

Then

13² = a² + 12²

169 = a² + 144

  a² = 169 – 144

  a² = 25

    a = 5

Then the correct option is D.

More about the Pythagoras theorem link is given below.

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Answer:

Step-by-step explanation:

27÷3=9

The couch bought 9 cans of tennis ball.

One type of operation is division in mathematics. In this procedure, the expressions or numbers are divided into the same number of components.

Given, there are 3 tennis balls in each can.

And couch bought 27 tennis balls.

To find the number of cans:

Take the division of Total number of balls to balls in one can.

That means the number of cans for 27 tennis balls,

= 27 / 3

= 9

Therefore, the 9 cans the couch bought.

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Answer:

x<1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:x<1

Step-by-step explanation:

,.....................

Given:

A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.

To find:

The surface area of the pyramid to the nearest whole number.

Solution:

A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.

Area of a square is

[tex]A_1=(edge)^2[/tex]

[tex]A_1=(10)^2[/tex]

[tex]A_1=100[/tex]

So, area of square base is 100 sq. in.

Area of a triangle is

[tex]A_2=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_2=\dfrac{1}{2}\times 10\times 4[/tex]

[tex]A_2=20[/tex]

So, area of each triangular surface is 20 sq. in.

Now, the total surface area of the pyramid is

Total area = Area of square base + Area of 4 congruent triangles.

[tex]A=A_1+4\times A_2[/tex]

[tex]A=100+4\times 20[/tex]

[tex]A=100+80[/tex]

[tex]A=180[/tex]

Therefore, the area of the pyramid is 180 sq. in.

Answer:

30% increase

Step-by-step explanation:

First, find the difference between the prices:

156,000 - 120,000

= 36,000

Then, find what percent this is of the original price:

36,000/120,000

= 0.3

So, the percent increase is 30%

Answer:

1/2bh, bh, s²

Step-by-step explanation:

Base x Height = area of rectangle/square, so half it (to get the triangle)

Base x Height = Area of rectangle

And for me, I knew what the last one was since it was the only one left, and isn't the equation for the first two, so an eliminating strategy. :)

Answer:

the answer is b

Step-by-step explanation:

here you go mate

step 1

2(3+a)  equation/question

step 2

2(3+a)  simplify

(2)(3+a)

step 3

(2)(3)+(2a)  add them up

answer

6+2a

Answer:

100

Step-by-step explanation:

a triangle is 180, so 180-58-22 is your answer

Answer:

The first option

Step-by-step explanation:

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and size.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

From the graph, we see that,

The coordinates in the line g(x) are (5, 100) and (4, 10).

Now,

g(x) = [tex]10^{x - 3[/tex] ______(1)

Substituting (5, 100) and (4, 10) in (1)

We get,

g(5) = [tex]10^{5 - 3[/tex] = 100

g(4) = [tex]10^{4 - 3[/tex] = 10

This is true.

Thus,

The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]

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Answer:

$0.22

Step-by-step explanation:

divide $1.98 by 9 to get the unit price

Answer:

15 1/2 or 15.5

Step-by-step explanation:

the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5

Answer:

Step-by-step explanation:

98% it is the only percent and it is close to one

Answer:

a+17x+6

Step-by-step explanation:

Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.

Since they're money sum up to $95.34, the first expression will be;

x+y+z=95.34

Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;

y=x-12.12

Cesar_x_raised $35more than Dalila_z. So the equation will be;

x=z+35

making z the subject, z=x-35 .

Substituting the Second equation into the first one, we get;

x+x-12.12+z=95.34

Subtracting the third equation into the new equation we get;

x+x-12.12+x-35=95.34

Simplifying, we get 3x- 47.12= 95.34.

3x=142.46

9514 1404 393

Answer:

  30% increase

Step-by-step explanation:

The percentage change can be computed from ...

  percent change = ((new value)/(old value) -1) × 100%

  = (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%

  = 30%

The average monthly revenue increased by 30% from last year.

Answer:

again i can not see the given point

Step-by-step explanation:

Answer:

56/6 or 9.33

Step-by-step explanation:

8x5 -4^2/

2x3

40 - 4^2/

2x3

40 + 16/

6

56/6 or 9.33

The answer is 4 because when simplifying the top of the fraction it equals to  24  and the bottom is 6 so when dividing it equals 4.