plz help me thank you :)
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.

Answer:

Addy hiked 0.65 miles more than Audrey.

Step-by-step explanation:

In June we have the following distance traveled by Audrey (Au) and Addy (Ad):

[tex] Au_{Jun} = 2.95 miles [/tex]

[tex] Ad_{Jun} = 2.85 miles [/tex]

And, in July we have:

[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]

[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]

Hence in June and July, they traveled:

[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]

[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]

Now, we can find how much farther did Addy hike than Audrey in both June and July:    

[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]

Therefore, Addy hiked 0.65 miles more than Audrey.

I hope it helps you!    

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

Answer:

5, 9, and 17

Step-by-step explanation:

Did it on Edg. 2021 and got it right.

this is how

Step-by-step explanation:

gusto ko lang magka points

Answer:

29

Step-by-step explanation:

Use PEMDAS

First, you will do the parenthesis which is 3.   20+3(3)

Next, you will multiply 3 by 3, which is 9.     20+9

Last you will add 20 and 9.   29

Do order of Operations.

Parentheses:

(8-5) which is 3. You now have

20+3(3).

Multiply:

3(3) which gives you 9. Now you have

Add:

20+9. Which gives you 29.

So the answer to this question is 29.

I Hope I explained this good enough, if you have any more questions, ask me.

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

Answer: am sorry but,

Step-by-step explanation: I can't see the picture...

Answer:

b (i think)

Step-by-step explanation:

Answer:

7x-3 = 5x+ 15

2x-3 = 15            (you will need to subtract the variables to get 2x)

2x = 18                (next, add the constants to result up to 18)

x = 9                   (lastly, divide the constant 18 with the coefficient 2 to get 9)

See attachment for math work and answer.

The measure of ∠RSV is 31°.

Given that, SV bisects ∠RST=62°.

We need to find the value of m∠RSV.

The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.

Since SV bisects ∠RST into equal parts.

That is, ∠RSV=∠TSV

So, ∠RST=∠RSV+∠TSV

⇒∠RST=2∠RSV

⇒62°=2∠RSV

⇒∠RSV=31°

Therefore, the measure of ∠RSV is 31°.

To learn more about an angle bisector visit:

brainly.com/question/12896755.

#SPJ2

Answer:

$11.50 per CD

Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

If x/ -8 = -3,

Just multiply by -8 on both sides.

x = 24

Hope this helps!

Answer:

1078.73721

Step-by-step explanation:

Answer:

m = -1

Step-by-step explanation:

m= -(4+ m) + 2

Distribute

m = -4-m+2

m = -2-m

Add m to each side

m+m = -2-m+m

2m = -2

2m/2 = -2/2

m = -1

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

Answer:

first option  y + 7 = –(x + 6) is correct option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

The Graph will look like this:

The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.

To visualize the line x = 3 on a graph:

1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.

2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.

The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

Learn more about graph here

https://brainly.com/question/30981053

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Answer: The answer to number 1 is 91 adults

Step-by-step explanation: Since 1 on the ratio is 13 people, 13 x 7 is 91.

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

Answer:

a rotation

Step-by-step explanation:

Answer:

the midpoint would be (5,9)

Answer:

(6, 10 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )

Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus

midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )

Answer:

1. 7.5

2. 7

3. 8

4. 1.44

5. 2

6. 4

Step-by-step explanation:

Use cross multiplication and then divide by the coefficient of x.

Here is how to solve number 1. Solve the rest of them like this.

2.5(15) = 5x

37.5 =5x

5         5

x=7.5

Please mark me brainliest and I hope this helps.

Answer:

1. x = 7.5

2. x = 7

3. x = 8

4. x = 1.44

5. x = 2

6. x = 4

Step-by-step explanation:

All you have to do is cross multipy and then solve.

Answer:

the answer is 42.

Step-by-step explanation:

9 times 6 is 54.

7 times 6 is 42.

Answer:

It'd be 486/7 or 69 and 3/7

Step-by-step explanation:

Answer:

2.16, 3.45

Step-by-step explanation:

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

2.16< [tex]\sqrt{5}[/tex] < 3.45

Hope this helps!! :D

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

slope=(9-7)÷(3-2)

slope= 2.

Answer: 1,6,3,8

Step-by-step explanation: that one, and its opposite and the other one is the same

Answer:

1, 3, and 8

Step-by-step explanation:

You should know this because, 88 degrees and 2 are in a straight line which there means that 2 would be 92 degrees. So every length would be slightly shorter or longer than the other. As you can observe 1, 3, and 8 other than 6 are all the ones that are slightly shorter than their counterpart 2, 4, 5, and 7. Which means that 1, 3, and 8 all equal 88 degrees just like 6.