Solve the equation.
8n - (2n+5) = 19
(Simplify your answer.)

The correct matching of the fractions will be:

12 1/2 - 9 1/4 = 3 1/4

5 3/4 - 2 5/12 = 3 1 /3

7 1/5 - 3 7 / 10 = 3 1/2

11 2/3 - 8 1/2 = 3 1/6

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

12 1/2 - 9 1/4

= 12 2/4 - 9 1/4

= 3 1/4

5 3/4 - 2 5/12

= 5 9 / 12 - 2 5 /12

= 3 1 /3

7 1/5 - 3 7 / 10

= 7 2/10 - 3 7/10

= 3 1/2

11 2/3 - 8 1/2

= 11 4/6 - 8 3/6

= 3 1/6

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Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

Answer:

Step-by-step explanation:

Answer to number 1 is a slope of -3 and the y=-3x-26 For number 2 the slope is 5 and y=5x+5 and for number 3 the slope is 2/3 and b is y=2/3x-20/3 for number 4 its 4 in the x section and 5 for the y section number 5 is --5 and for number 6 its -12. I found the slopes by using this formula y2-y1/x2-x1 and for the b I used y=mx+b and used one of the points to figure it out! I hope this helped out :3

Answer:

I have no idea what your saying

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.

2(x^2 - 4x - 5)

Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this

2(x    5) (x    1)

But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.

2(x - 5)(x     1 )

So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.

2(x - 5)(x  +   1 )

Answer:

The answer to this would be B.

Step-by-step explanation:

When finding the volume of a three-dimensional object you want to use the formula, (Length) x (Height) x (Width) = (Volume)

In this case, 6 cm is your height

3 cm is your length,

and 2 3/4 cm is your width.

When you plug in those numbers, the only equation that matches is B. 6x3x2 3/4.

Hope this helped!

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

The circuit starts at the final AND gate. It has two inputs, one from an OR gate and one from a NOT gate.

The OR gate has two inputs, p and q. If either p or q is high (1), the OR gate will output a high signal. If both p and q are low (0), the OR gate will output a low signal. In this case, we only have the value of p, which is high, so the output from the OR gate is also high.

The NOT gate has one input, q. It inverts the signal, so if q is high (1), the NOT gate will output a low signal (0), and if q is low (0), the NOT gate will output a high signal (1). We don't know the value of q, so we don't know the output from the NOT gate.

Finally, the AND gate takes the outputs from the OR gate and the NOT gate as its inputs. If both inputs are high (1), the AND gate will output a high signal (1). If either input is low (0), the AND gate will output a low signal (0). Since we don't know the output from the NOT gate, we can't determine the output from the AND gate.

So, to summarize, without knowing the value of q, we can't determine the output from the final AND gate.

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Answer:

b=2

Step-by-step explanation:

We fist of all open the brackets.

6(2b-4) =0

= 12b-24=0

Then we combine like terms

( whenever a sign crosses over an equal to sign it changes)

12b = 0+24

12b=24

Divide by co-efficient of b which is 12

12b = 24

12 12

b=2

Answer:

Step-by-step explanation:

\(\sf 6(2b-4)=0\)

Divide both sides by 6.

(Anything divide by zero will give you zero, and anything plus zero gives itself)

\(\sf 2b - 4=0\)

Add 4 to both sides.

\(\sf 2b = 4\)

Divide both sides by 2.

\(\sf \cfrac{2b}{2}=\cfrac{4}{2}\)

\(\sf b = 2\)

_____________________

Answer:

C

Step-by-step explanation:

Positive numbers represent a positive situation. And negative numbers coincide with a negative situation.

 Ex: An increase in temperature corresponds to a positive number, and a decrease in temperature with a negative number.

The car’s average speed on the outbound trip is; 62.5 km/h

Let the distance from home to new york be x.
Formula for speed is;

Speed = distance/time

Thus;

v₁ = x/2

Similarly,

v₂ = x/3

Now, It averaged 25 km/h faster on the trip there than on the return trip.

Thus;

v₁ = v₂ + 25

Thus;

v₂ + 25 = x/2

Put x/3 for v₂ to get;

x/3 + 25 = x/2

Multiply through by 6 to get;

2x + 150 = 3x

x = 150 km

v₁ = 150/2

v₁ = 75 km/h

Similarly,

v₂ = 150/3

v₂ = 50 km/h

Thus;

Average speed = (50 + 75)/2

Average speed = 62.5 km/h

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The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Answer:

good for him

Step-by-step explanation:

Brainliest Plzzz!!!

Answer:

Is this free points? well thx! if u actually need help let me know

Step-by-step explanation:

Brainliest please

The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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The missing number so that the equation has infinitely many solutions is 6

For the given equation to have an infinite number of questions, the value of x must be an infinite value.

Given the expression -3(x-2) + 5x + y = 2(x + 6)

Expand the equation

-3x + 6 + 5x + y = 2x + 12

2x + (6 + y) = 2x + 12

For the equation to have infinitely many solutions, 6+y must be equal to 12, that is 6+y = 12

y = 12 - 6

y = 6

Hence the missing number so that the equation has infinitely many solutions is 6

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The missing number so that the equation has infinitely many solutions is 6.

An equality has infinitely many solutions if it is an identity, that is, both sides are equal.

In this problem, the equality is:

\(-3(x - 2) + 5x + v = 2(x + 6)\)

\(-3x + 6 + 5x + v = 2x + 12\)

\(2x + 6 + v = 2x + 12\)

\(6 + v = 12\)

\(v = 12 - 6\)

\(v = 6\)

The missing number is 6.

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Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

Answer:

80 grams

Step-by-step explanation:

because 1 part is cocoa and 4 parts sugar.

20= 1 part so all you have to do is multiply 20 by 4 and you get 80

Hope this helps!!

Answer:

80 grams

Step-by-step explanation:

4 times 20 is 80. it's like doing unit rate.

Answer:

m∠4 = m∠1 + m∠3

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of its two opposite interior angles

Now, examining the given triangle, we can note that:

∠4 is an exterior angle

∠1 and ∠3 are its two opposite interior angles

Based on the givens and the above theorem, we can conclude that:

m∠4 = m∠1 + m∠3

Hope this helps :)

Answer:

her answer is correct please

Answer:

The equation is y=⅗x+⅘

Step-by-step explanation:

First,find the slope of the two pts.

Secondly, apply the equation formula Which is

So, we have to solve for b using one of the two points that are given let's just take the second point (2,2) and solve for b.

Finally, substitute all the values on y=mx+b

Thus, y=⅗x+⅘.

Answer:

a > -9

Step-by-step explanation:

-9 + 2a < 3a

1. Add 9 to both sides

-9 + 2a + 9 < 3a + 9

2. Simplify

2a < 3a + 9

3. Subtract 3a from both sides

2a - 3a < 3a + 9 - 3a

4. Simplify

-a < 9

5. Multiply both sides by -1 (reverse the inequality)

(-a)(-1) > 9(-1)

6. Simplify

a > -9

Answer:

59,582π/375 (approximately 499.153) square centimeters

Step-by-step explanation:

Volume:

\( \frac{1}{3} \pi {(6.2)}^{2} (12.4)\)

\( \frac{1}{3} {( \frac{31}{5}) }^{2} ( \frac{62}{5} )\pi\)

\( \frac{59582\pi}{375} \)

Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

Equations:

k + m = 48

m = 3k

Answer: Mark is 12; mom is 36

Step-by-step explanation:

Let k = Mark's age

Let m = mom's age

k + m = 48

m = 3k

k + 3k = 48

4k = 48

k = 12

m = 3k = 3(12) = 36

Equations:

k + m = 48

m = 3k

Answer: Mark is 12; mom is 36

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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