Solve the following:
a)
3x + 4 /2 = 9.5

7 + 2x /3 = 5
b)
​

Answer:

[tex]a_{n}=3^{n}[/tex]

Step-by-step explanation:

We can start solving this problem by making a list of the number of chain emails that are sent on each round:

Round one:

[tex]a_{1}=3[/tex]

which represents the three friends you send the mail to.

Round two:

[tex]a_{2}=3*3=9[/tex]

since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.

Round three:

[tex]a_{3}=3*3*3=9*3=27[/tex]

on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:

[tex]a_{n}=3^{n}[/tex]

which is our final answer.

Answer:

0.067 gallons ( to 2 decimal places)

Step-by-step explanation:

First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:

total volume of vinegar = 1

number of egg dye containers = 15

if equal volume of vinegar was used in each container:

volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)

Answer:

graph b because its a parabola

Step-by-step explanation:

Answer:

Graph B does not belong

Step-by-step explanation:

All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic

Answer:

the price will be the same for either amusement park

Step-by-step explanation:

10+1(x)=?

5+2(x)=?

ex; x=5

10+1(5)=                                   5+2(5)=

10+5=                                      5+10=

15                                            15

Answer:

5 rides, cost of $15

Step-by-step explanation:

With the information given we have two expressions:

10 + 1x and 5 + 2x

Using these expressions we can create this equation:

10 + 1x = 5 + 2x

Knowing some information we can can simply analyze some information:

The closest number each of these equations could equal is 15,

1(5) is 5 + 10 = 15, and 2(5) is 10 + 5 = 15

15 = 15 this is a true statement, so we know this is answer

Hope this helps! Have a good day!

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

A reasonable scale and make a scale drawing of the porch could be :

1 inch =4 feet

<=> the length side: 20:4 = 5 inches

<=> the width side: 6:4 = 1.5 inches

Hope it will find you well.

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

[tex]y=-x^{2} +6x+16[/tex]........(1)

[tex]y=-4x+37[/tex]...........(2)

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

[tex]-x^{2} +6x+16=-4x+37[/tex]

[tex]x^{2} -10x+21=0[/tex]

[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]

[tex](x-3)(x-7)=0[/tex]

So, [tex]x=3[/tex]

[tex]x=7[/tex]

Corresponding y value for x=3

[tex]y=-4*3+37\\y=25[/tex]

Corresponding y value for x=7

[tex]y=-4*7+37[/tex]

[tex]y=9[/tex]

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

To get more about equations visit:

https://brainly.com/question/14323743

Answer:

Step-by-step explanation:

The question isn't clear...

Answer:

B and C

Step-by-step explanation:

25% of 64 is 16. So find the two answers that are equivalent to 16.

A: 25*64 = 1600 [tex]\neq[/tex] 16

B: [tex]\frac{25}{100}[/tex]*64 = 16

C: 0.25 * 64 = 16

D: 64/[tex]\frac{25}{100}[/tex] =256 [tex]\neq[/tex] 16

E: 25/[tex]\frac{64}{100}[/tex] = 39.06 [tex]\neq[/tex] 16

Answer:

its b and c. had the same problem.

Answer:

B

Step-by-step explanation:

[tex]2x^{4}y - 18x^{2}y^{3}[/tex]

Both sides have [tex]x^{2}[/tex]

[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]

Both sides have y

[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]

Both sides have 2

[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]

[tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]

[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]

Final:

[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]

Hope this helps ^-^

The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.

The given expression is 2x⁴y-18x²y³.

Factor the expression as follows:

2x⁴y-18x²y³

= 2x²y(x² - 9y²)

= 2x²y(x² - (3y)²)

= 2x²y(x + 3y)(x- 3y)

Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.

Learn more about factorization:

https://brainly.com/question/24182713

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Answer 5 ft 4 in

Step-by-step explanation:

2 1/2 + 2 1/2=5 + 4 inches

Answer: 24 units^2

(12*4)/(2)=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

4*12/0.5=96

Answer:

How to find the circumference of a circle:

Step-by-step explanation:

Hope this helps! :)

Answer:

Step-by-step explanation:

hello :

f(x)=-2x and g(x)=(1/2)^x

f(-2)=-2(-2) =4

g(-2)=(1/2)^-2 = 1/2^-2 = 2²=4

Answer:

3.7

Step-by-step explanation:

The lenght of an arc with a radius of 3m and substended angle of 70 degrees is 3.7meters

The length of an arc is expressed as:

L = r theta

Given the following parameters

r = 3m

theta = 70 degrees = 70π/180

L = 3(70π/180)

L = 3.7 metres

Hence the lenght of an arc is 3.7meters

Learn more on length of an arc here: https://brainly.com/question/2005046

Answer:

The correct option is;

[tex]\frac{1}{\pi }[/tex]

Step-by-step explanation:

Here we have that

[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]

Therefore, the probability that the needle will cut the line = 1/π.

Answer:

15707.96

Step-by-step explanation:

Answer:

5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Step-by-step explanation:

V = (pi)r^2h

r = radius = diameter/2

r = 20 ft/2 = 10 ft

V = (pi)(10 ft)^2(50 ft)

V = 5000(pi) ft^3

V = 5000(3.14159) ft^3 = 15,708 ft^3

Answer: 5000pi ft^3 (exactly) or 15,708 ft^3 (approximately)

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

Answer:

784329

Step-by-step explanation:

Answer:

Carlos bought 80 feet of wire for ​$17.60.

Then the price for 1 feet of wire is 17.6/80 = 0.22

=> 30 feet of wire would cost: 30 x 0.22 = 6.6

Hope this helps!

:)

Answer:

C) 104 units^3

Step-by-step explanation:

The formula for volume in a rectangular prism is V=lwh

There are three total rectangular prisms, so take the volume of each individual prism and add them together to get the total volume.

smallest: V=(2)(2)(4) = 16

Medium: (2)(2)(6) = 24

Largest: (2)(2)(16) = 64

Add it together: 16+24+64= 104

Your answer is 104 units^3

:)

Answer:

A B E

Step-by-step explanation:

A- w less-than-or-equal-to 3.6

B- The arrow points left.

E- There is a closed circle at 3.6.

Answer:

A B E

Step-by-step explanation:

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

40

Step-by-step explanation:

24 divided by = 8

8 times 5 = 40

can i have brainliest please

Answer:

40

Step-by-step explanation:

there is a 5 to 3 ratio for ice cream cones to brownies

ice cream: brownies

5:3

x:24

three times eight is 24

five times eight is 40

Answer:

a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

When you multiply all the terms together you get a^2 + ab + ac + ab + b^2 + bc - ac - bc - c^2. Then you can just combine like terms and simplify it to a^2 + 2ab + b^2 - c^2. Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS