12. Used to prove that a conjecture is false.
a) Counterexample
c) Concluding statement
b) Inductive Reasoning
d) Conjecture

Answer:

I dont have an answer but here is a example I hope it helps

Step-by-step explanation: Josie selected a number n. She divided n by 2 and then subtracted ½ from the result. She took

half of that result and then subtracted ½ to get the final result of 10. What is the value of n?

Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from

the result would be (n/2) – ½. If we build on this expression with the information in Josie’s

second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation

below, and solve for n as follows:

½((n/2) – ½) – ½ = 10

½(n/2) – ¼ - ½ = 10 (using the distributive property)

¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)

¼n – ¾ = 10 (combining like terms)

¼n = 10¾ (adding ¾ to both sides of the equation)

n = 43 (dividing both sides of the equation by ¼)

Answer:

the answer is 87.96

Step-by-step explanation:

Answer:

87.92 units

Step-by-step explanation:

circumference = D x Pi = 28(3.14) = 87.92

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Given the number 4.

The sign of the number 4 is positive.

An additive inverse is a number whose sign is opposite to the number.

For example, the additive inverse of -5 is 5, and 5 is -5.

So additive inverse of 4 will be -4.

Now sum of 4 and -4

4 + (-4) = 0

Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".

For more information about summation

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Answer:

di you mean m² when you say m2 or not?

The values of the expression are;

-21, 240, 310 respectively

We were given the equation as ;

20 [tex]m^{2}[/tex] + 30m + 40

Then we can find the values of the expression with the given options to know the answer by input the value of ' m' into the given equation

Therefore, the values of the expression are; -21, 240, 310 respectively

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Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0

Answer:

Step-by-step explanation:

Corresponding sides have same ratio in similar figures:

Correct option is A

Answer:

C. y= 6x-5

Step-by-step explanation:

Given Information :

Slope (m) = 6

y-intercept (b) = -5

Equation of a line :

y=mx+b

Where :

m = slope

b = y-intercept

So , with the given the information , the equation is :

[tex]y = 6x - 5[/tex]

65* It is drawn with a round ruller...

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°

Given:

Loss percent is 13%.

Selling price = 1475

To find:

The loss or gain if the goods are sold for Rs.1615?

Solution:

Let x be the cost price of goods.

Loss percent is 13% and selling price is 1475.

[tex]1475=x-\dfrac{13}{100}x[/tex]

[tex]1475=x-0.13x[/tex]

[tex]1475=0.87x[/tex]

[tex]\dfrac{1475}{0.87}=x[/tex]

[tex]1695.4023=x[/tex]

[tex]x\approx 1695.40[/tex]

The cost price of goods is 1695.40.

We need to find the loss or gain if the goods are sold for Rs.1615.

Cost price is greater than the selling price because 1695.40 > 1615. It means , it is a loss.

[tex]Loss=CP-SP[/tex]

[tex]Loss=1695.40-1615[/tex]

[tex]Loss=80.40[/tex]

The loss percent is

[tex]Loss\%=\dfrac{Loss}{C.P}\times 100[/tex]

[tex]Loss\%=\dfrac{80.40}{1695.40}\times 100[/tex]

[tex]Loss\%\approx 4.74\%[/tex]

Therefore, the loss is 80.40 and the loss percent is about 4.74%.

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Answer: A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Do 400 divided by 16 to convert to pounds

400/16=25

Hope this helped :)

Answer:

25 pounds

Step-by-step explanation:

1 Pound=16 ounces

? Pounds=400 ounces

400 divided by 16=25

25 pounds=400 ounces

Answer:

The percentage profit for the year is 62.50%

Step-by-step explanation:

Here, we want to calculate the percentage profit

That would be difference between the revenue (88,000) and the cost (33,000) divided by the revenue * 100%

We have this as;

(88,000-33,000)/88,000 * 100%

= 55,000/88,000 * 100%

= 62.50%

Answer:

6 a - 13 b - 21 c - 13 d - 29 e -29 f - 122

y=15 and x=3

Step-by-step explanation:

Answer:

motor of the 1500

Step-by-step explanation:

i took the test hopefully is the right one.

Answer:

x = 1 and x = -3

Step-by-step explanation:

We need to solve the given equation.

[tex]3+x=x^2+3x[/tex]

Taking all terms together,

[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]

So, the solution of the above equation is x = 1 and x = -3.

Answer:

[tex]4=(x+1)^{2}[/tex]

x= -1 ±2

Khan Academy

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

7a - 4b

Step-by-step explanation:

Add the numbers ending with 'a' together, and then add the numbers ending with 'b' together.

First of all, I will put the letters beside each other.

2a + 5a + 3b - 7b

2a + 5a = 7a

3b - 7b = - 4b

Therefore, the answer is 7a - 4b.

Answer: m and n

8(m+n)= 8m + 8n

Answer:

The correct answer is 51%

Answer:5w=36

Step-by-step explanation:

out of 300 7th graders that use a computer 5-10 hours would be around 260 children. out of 360 seventh graders that use a computer 10 hours or less each week will be around 300

Answer:

slope is -1/4

Step-by-step explanation:

[tex]\frac{-4}{12}[/tex]=[tex]\frac{-1}{4}[/tex]

[tex]\frac{-2}{8}[/tex]= [tex]\frac{-1}{4}[/tex]

and so on...

formula: [tex]\frac{x}{y}[/tex]

hope this helps!!!

90°, 45°

Step-by-step explanation:

Two angles that can be trisected with a straightedge and compass are 90° and 45° angles

Answer:

Y= -1/2x -1

Step-by-step explanation: