Any number that is divisible by 4 is also divisible by 8. Find a counterexample to show that the conjecture is false. 12 40 26 24

the answer to the first one is b,c

Answer:

10

Step-by-step explanation:

2/3 x 15 = 10

Problem

You deposit $5000 into a bank account paying 6.3% simple interest per year. You left the money in for 3 years. How much interest do you get at the end of those 3 years?

Result

The interest is $945.

Then you add 5000 to your interest rate of 945 so your answer would be 5945 . I think I'm not that great with math but I really hope I helped .

Slope = change in y /change in x

(0, 7), (0, −8)

Slope "m"= -8-7/0-0

M= -15/0

M= undefined

The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.

Here,

We have to find the slope of the line passing through the pairs of points (0, 7), and (0, −8).

What is slope of the line?

A measure of its steepness is called slope of line.

Now,

The points are (0, 7) and (0, -8)

Hence, Slope of the line is calculate as;

[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

[tex]m = \frac{-8 -7 }{0}-0 } = \frac{-15}{0}[/tex]

Which is undefined.

Hence, The slope of the line passing through the pairs of points (0, 7), and (0, −8) is not defined.

Learn more about the slope visit:

https://brainly.com/question/19243824

#SPJ2

The fractions in this equation are 3/4 and 5/6. The denominators of those fractions are 4 and 6. The lowest common multiple (LCM) of the numbers 4 and 6 is 12. The LCM is 12 because this is the smallest multiple 4 and 6 have in common

Multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, ....

Multiples of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, ....

The LCM has been highlighted in bold to make it easier to spot

Therefore, the LCD (lowest common denominator) of the fractions is 12. If we were to multiply both sides of this equation by the LCD, then we will clear out the fractions entirely to have whole numbers only left over.

Check out the attached image below for the steps of this process.

Final Answer: 9x + 36 = 10

The answer is (2, 1)

We can solve this by using midpoint formula

[tex]M = (x_{1} + x_2)/2, (y_1 + y_2} ) /2[/tex]

because in a plane the coordinates of midpoint of a line is the average of each other coordinates.

So,

[tex]x_1 = -1, x_2 = 5[/tex]

[tex]y_1 = 0. y_2 = 2[/tex]

Putting values in formula as

[tex]M = (-1+5) / 2, (0+2) / 2[/tex]

[tex]M = (2, 1)[/tex]

Answer:  The required co-ordinates of the endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint of CD is E (-1,0) and one endpoint is C (5,2).

We are to find the co-ordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the endpoint D.

We know that

the co-ordinates of the midpoint of a line segment withe endpoints (a, b) and (c, d) is given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

Therefore, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the endpoint D are (-7, -2).

they all have the same area bc they are the same triangge

Answer:

Could you include the entire picture in your question please? It would help me to answer your question.

Step-by-step explanation:

b1 = 2A/h - b2 would be your answer from what I can see in the picture.

Answer:

it would be 68

Step-by-step explanation:

i hope it helps

Answer:

Transformation : [tex](x,y)\rightarrow (x,-y)[/tex]

Step-by-step explanation:

We are given pre-image is above x-axis abd original figure below x-axis.

As we know y-axis below x-axis always negative. When we translate about x-axis only y value of each coordinate change.

x-coordinates remain same.

Best transformation for below x-axis to above x-axis would be [tex](x,y)\rightarrow (x,-y)[/tex].

For example, (2,-3) change to (2,3)

This is valid to all types of figures which form below x-axis.

Givens

Let the number of students in the class be x

Let the number of pieces of gum she gave out be 3x

Equation

3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.

3(x - 1) + 8 = 168      This doesn't work either.

Well we have to choose. It's a rounding problem.

3x + 8 = 168     Subtract 8 from both sides.

3x = 168 - 8      Combine

3x = 160           Divide by 3 on both sides.

x = 160 / 3

x = 53.333333333

Since that can't be, we could say there were 53 students.

3x

The answer is

“A property of the real numbers states that if the numbers are grouped in a sum or in the form of its product, the value does not change.

a(b + c) = ab + ac, or a(b - c) = ab - ac”

Distributive property states that we can multiply each term outside the parenthesis with the term present inside the parenthesis. It involves multiplication and addition or multiplication and subtraction. In mathematics, distributives property is frequently used.

Some examples of distributive property are:

3 (1 + 3) = 3. 1 + 3. 3

4 (2 – 1) = 4.2 – 4.1

Answer:

b

Step-by-step explanation:

Griffin used $60 on his credit card.

16 - 76 = 60

Final answer:

After applying a $16 credit to the purchase of $76 sneakers, Griffin charged $60 to his credit card.

Explanation:

Griffin has purchased sneakers online. The cost of the sneakers is $76, and he applied a $16 credit towards this purchase. To find out how much Griffin charged to his credit card, we need to subtract the credit from the total cost of the sneakers.

Calculation:
$76 (Total cost of sneakers) - $16 (Credit applied) = $60

Therefore, Griffin charged $60 to his credit card for the sneakers.

Remark

The key to this question is to get the original price (36) down to 29.52. In other words, what % will when multiplied by 36 will result in 29.52?

Solution

36 * (x/100) = 29.52   Multiply both sides by 100

36 * x = 29.52 * 100  The 100 on the left disappears.

36 * x = 2952              The decimal disappears. Divide by 36

x = 2952/36

x = 82%

That is not your answer. That just tells you what % of 36 is that would give 29.52

Answer

The % discount is 100 - 82 = 18%. That is the % discount.

Final answer:

The percentage discount on the boots is calculated by first finding the discount amount ($6.48) and then dividing it by the original price ($36.00), which gives us an 18% discount.

Explanation:

To calculate the percentage discount on the boots, we must first determine the amount of the discount. The discount is the difference between the original price and the sale price, which is $36.00 - $29.52 = $6.48.

Next, we calculate the percentage discount using the formula:

Percentage Discount = (Discount ÷ Original Price) × 100%

Substituting in our numbers:

Percentage Discount = ($6.48 ÷ $36.00) × 100%

Percentage Discount = 0.18 × 100%

Percentage Discount = 18%

So, Jeremiah received an 18% discount on the boots.

We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = [tex]\frac{21 feet}{3 feet}yards[/tex] = 7 yards

Thus, the ratio

[tex]\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}[/tex]

The fraction [tex]\frac{7}{8}[/tex] is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is [tex]\frac{7}{8}[/tex]

Final answer:

The ratio of 21 feet to 8 yards simplifies to 7/8 when both measurements are converted to the same units (feet) and the ratio is reduced to simplest form.

Explanation:

To write the ratio of 21 feet to 8 yards as a fraction in simplest form without any units, first, we need to ensure both measurements are in the same unit.

We know that 1 yard equals 3 feet, so 8 yards equal 24 feet. Therefore, the ratio of 21 feet to 8 yards (24 feet) can be written as 21 to 24, which simplifies to 7/8 when dividing both numbers by their greatest common divisor, which is 3.

You would add the exponents so it'll be 2^3+2^4=2^7 and the same for the bottom which is gonna be -1.

∠n and ∠p are supllementary angles, therefore m∠n + m∠p = 180°.

[tex]m\angle p=21x+25\\\\m\angle n=\dfrac{675x-27}{3}=\dfrac{675x}{3}-\dfrac{27}{3}=225x-9[/tex]

therefore

[tex](21x+25)+(225x-9)=180\\\\(21x+225x)+(25-9)=180\\\\246x+16=180\qquad|-16\\\\246x=164\qquad|:246\\\\x=\dfrac{164}{246}\\\\x=\dfrac{2}{3}[/tex]

[tex]m\angle p=21x+25[/tex]

substitute

[tex]m\angle p=21\cdot\dfrac{2}{3}+25=7\cdot2+25=14+25=39^o[/tex]

[tex]m\angle n=225x-9[/tex]

substitute

[tex]m\angle n=225\cdot\dfrac{2}{3}-9=75\cdot2-9=150-9=141^o[/tex]

Angles on a straight line add up to [tex]180^o[/tex].

Given that:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

To calculate the value of x, we use:

[tex]\angle p + \angle n = 180^o[/tex] --- angle on a straight line.

So, we have:

[tex]21x + 25 + \frac{675x - 27}{3} = 180[/tex]

[tex]21x + 25 + 225x - 9 = 180[/tex]

Collect like terms

[tex]21x + 225x = 180 + 9 - 25[/tex]

[tex]246x = 164[/tex]

Divide both sides by 246

[tex]x = \frac 23[/tex]

To calculate the measures of p and n, we substitute [tex]x = \frac 23[/tex] in

[tex]\angle p = 21x + 25[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

So, we have:

[tex]\angle p = 21x + 25[/tex]

[tex]\angle p = 21 \times \frac 23 + 25[/tex]

[tex]\angle p = 39[/tex]

[tex]\angle n = \frac{675x - 27}3[/tex]

[tex]\angle n = \frac{675 \times 2/3 - 27}{3}[/tex]

[tex]\angle n = 141[/tex]

Hence, the value of x is 2/3.

Read more about angles on straight lines at:

https://brainly.com/question/17104958

To undo a square root in an equation, you square both sides of the equation. This will eliminate the square root on one side and gives you the original value under the square root. It simplifies the equation, making it easier to solve.

To undo a square root in an equation that includes a radical expression, you have to square that part of the equation. Here is an example to illustrate this:

Suppose you have the equation √x = 2. To undo the square root, you need to square both sides of the equation: (√x)² = 2². This operation results in the equation x = 4.

Remember, when squaring a square root, the result is the original number under the radical. Therefore, the process of 'undoing' the square root is to square the radical expression. This helps us to have equations in a simpler form, which further makes it easier for us to solve.

https://brainly.com/question/34964570

#SPJ3

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

To find an equivalent ratio to 8:4, we can simplify the given ratio by dividing both numbers by their greatest common divisor. In this case, the greatest common divisor of 8 and 4 is 4.

So, we divide 8 by 4 to get 2 and 4 by 4 to get 1. Therefore, 2:1 is an equivalent ratio to 8:4.

An equivalent ratio to 8:4 is 2:1. This is found by simplifying the original ratio by dividing both numbers by their greatest common divisor, which is 4.

#SPJ2

The algebraic expression '5c + 12d - 6' cannot be simplified without knowing the values of the variables 'c' and 'd'. With specific values, you will be able to simplify the expression. For example, if c is 2 and d is 3, the expression simplifies to 40.

The expression given, 5c + 12d - 6, is an algebraic expression which consists of variables, constants, and operations. Here, the variables are 'c' and 'd', the constants are 5, 12 and -6, and the operations are addition and subtraction.

In order to simplify this expression, we should know the values of the variables. Without knowing the specific values of 'c' and 'd', the expression 5c + 12d - 6 cannot be simplified any further.

Let me explain with an example. If 'c' is 2 and 'd' is 3, you would replace the variables 'c' and 'd' in the expression with their given values. This would give: 5(2) + 12(3) - 6 = 10 + 36 - 6 = 40. But without specific values for 'c' and 'd', the expression remains as 5c + 12d - 6.

https://brainly.com/question/34192827

#SPJ2

Answer: B) [tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

Step-by-step explanation:

1. You can calculate the slope by applying the following formula:

[tex]m=\frac{y_{2}.y_{1}}{x_{2}-x_{1}}[/tex]

2. The point A is (0,0) and the point C is (3,2).

Where:

[tex]y_{2}=2\\y_{1}=0\\x_{2}=3\\x_{1}=0[/tex]

3. The point C is (3,2) and the point E is (6,4).

Where:

 [tex]y_{2}=4\\y_{1}=2\\x_{2}=6\\x_{1}=3[/tex]

4. Then, you have:

[tex]\frac{2-0}{3-0}=\frac{4-2}{6-3}[/tex]

[tex]\frac{2}{3}=\frac{2}{3}[/tex]

5. Therefore, the slope of AC is equal of the slope CE.

I think the relationship between the weight of a stack of standard 8.5x11 copier paper vs number of sheets of paper is proportional because :

Let us assume here, in this situation that each page has the same weight so if i want to find the weight of the complete stack, i will multiply the number of sheets of paper by the weight of a single sheet of paper.

The relationship between Standard stack and number of sheet is proportional.

Therefore, relationship between them is proportional

Learn more at : https://brainly.com/question/22245473?referrer=searchResults

Setting up algebraic equations to represent the costs of each club, one can solve for the number of months where the costs are the same. The cost of both health clubs is equal for 11 months.

In mathematics, problems like this can be solved using algebra, setting the cost of club 1 equal to the cost of club 2 and then solving for the variable, in this case, the number of months for which the costs are equal. Club 1 charges a $44 sign-up fee and $30 per month, which can be written as 44 + 30m (where 'm' represents the number of months). Club 2 charges a $99 sign-up fee and $25 per month, which can be written as 99 + 25m. Set these two equations equal: 44 + 30m = 99 + 25m and solve for m. Subtract 25m from both sides to get 5m = 55, then divided both sides by 5 to find m = 11. So, the cost of membership at these two health clubs is the same for 11 months.

https://brainly.com/question/31303181

#SPJ3

32

PEDMAS - order of operations

Parenthesis

Exponents

Divide

Multiply

Add

Subtract

Answer:

33

Step-by-step explanation:

Parenthesis First:

3 * 4 = 12

Now Exponents:

6 ^ 2 = 36

2 ^ 4 =16

Put It Together:

36 + 13 = 49

49 - 16 = 33

Answer:

Most expensive thing she can afford after 7 years is of worth 2560$

Explanation:

We need to calculate the interest on $2000 at 4% interest per year after 7 year(s).

The formula we'll use for this is the simple interest formula, I = P*r*t, I is the interest after t years, r is interest rate and P is the invest amount.

P = 2000$, r = 4/100 = 0.04, t = 7 years

So , I = 2000* 0.04 * 7 = 560$

Total amount she can retrieve from bank = P+I = 2000 + 560 = 2560$

Most expensive thing she can afford after 7 years is of worth 2560$

Answer:

The answer is (a mountain bike priced at $2,500) In Plato

Step-by-step explanation:

Step 1. Simplify 7/9(6x - 36) to 7(6x - 36)/9

23 = 7(6x - 36)/9 + 9

Step 2. Factor out the common term

23 = 7 * 6(x - 6)/9 + 9

Step 3. Simplify 7 * 6(x - 6) to 42(x - 6)

23 = 42(x - 6)/9 + 9

Step 4. Simplify 42(x - 6)/9 to 14(x - 6)/3

23 = 14(x - 6)/3 + 9

Step 5. Subtract 9 from both sides

23 - 9 = 14(x - 6)/3

Step 6. Simplify 23 - 9 to 14

14 = 14(x - 6)/3

Step 7. Multiply both sides by 3

14 * 3 = 14(x - 60

Step 8. Simplify 14 * 3 to 42

42 = 14(x - 6)

Step 9. Divide both sides by 14

42/14 to x - 6

Step 10. Simplify 42/14 to 3

3 = x - 6

Step 11. Add 6 to both sides

3 + 6 = x

Step 12. Simplify 3 + 6 to 9

9 = x

Step 13. Switch sides

x = 9

Final answer:

The solution to the equation is x = 9.

Explanation:

To solve for x, we need to isolate it on one side of the equation.

Let's start by distributing 7/9 to the terms inside the parentheses:

23 = (7/9)(6x - 36) + 9

Next, simplify the expression inside the parentheses:

23 = (7/9)(6x) - (7/9)(36) + 9

Now, multiply 7/9 with 6x and 36:

23 = (42/9)x - (252/9) + 9

Simplify the fractions:

23 = (14/3)x - (28/1) + 9

Combining the constants:

23 = (14/3)x - 19

Add 19 to both sides:

23 + 19 = (14/3)x

Now we have:

42 = (14/3)x

To isolate x, divide both sides by 14/3:

42 / (14/3) = x

Simplify the expression:

42 * (3/14) = x

Now, calculate:

x = 9